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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”




CONTENTS

   - Executive Summary

   - Introduction

   - Literature review

   - Purpose of the study

   - Objectives




                              BABASAB PATIL
                                       -1-
A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”




                         EXECUTIVE SUMMARY

          UTI securities ltd. (UTISEL) has been working as an independent

   professional entity for providing financial intermediary and advisory services to

   corporate institutional and retail clientele. This project emphasis on, “The

   Performance of Mutual Funds with reference to Risk and Returns”, conducted at

   UTI Securities Ltd. In this project I have analyzed the Mutual Funds Schemes,

   particularly the Equity Diversified open ended (growth) schemes and evaluated

   the returns and the risk associated with those schemes.




   OBJECTIVES OF THE STUDY

        To know the performance of Mutual Fund of different companies.



        To evaluate the returns and the risk associated with mutual funds.



        To evaluate the investment performance of mutual funds with risk

          adjustment, by using the theoretical parameters as suggested by

          William. Sharpe, Treynor and Jensen.




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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

LIMITATIONS:

       Not single work is an exception to the limitations every work has got its

limitations. The data collection here in this project is strictly confined to the

secondary sources. No primary data was associated with the project. Collecting

historical NAV is very difficult. Selection of the schemes for the study is also a very

difficult task because of the wide variety of schemes. The results of the study are

subjected to inconsistencies arising out of the assumptions made to make the

portfolios comparable viz., sample selection procedure, portfolio proportion

assumption etc.



RESEARCH METHODOLOGY:

       Data source:

       Secondary data          -        Reports from UTI securities and other reports

       from                                     related websites.




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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

                                    Introduction

       An investment means employment of funds on assets (i.e. securities or mutual
 funds or any of the investment avenues) with the aim of earning income as well as
 capital appreciation. There are mainly two attributes while investing to any of the
 funds i.e. time and risk. There are mainly four objectives, which the investments
 activities will carry on. Those are:

            Return from the investment
            Risk involved
            Liquidity
            Hedge against inflation
            Safety
            Convenience

       There are many alternatives investment avenues which are open to the
 investors to suit their needs and nature .The selection of investment alternatives
 depends up on the required level of return and the risk tolerance level. These
 alternatives range from financial securities to traditional non-securities investment.

 Following are the various investment alternatives.

 Negotiable and fixed income securities

            Equity shares
            Preference share
            Debentures
            Bonds
            Indira vikas patra &Kisan Vikas patra
            Government securities
            Money market securities (i.e. treasury bill, commercial paper,
             certificate of Deposit etc)




                            Non-negotiable securities

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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

           Bank deposit
           Post office deposit
           NBFC deposit
           Tax saving schemes
           Public provident fund scheme
           National saving scheme
           Life insurance
           Mutual funds
           Real estate




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                                       -5-
A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

                            LITERATURE REVIEW


Introduction to Mutual Funds

What is a Mutual Fund?

       Like most developed and developing countries the mutual fund cult has been

catching on in India. There are various reasons for this. Mutual funds make it easy

and less costly for investors to satisfy their need for capital growth, income and/or

income preservation.


       And in addition to this a mutual fund brings the benefits of diversification and

money management to the individual investor, providing an opportunity for financial

success that was once available only to a select few.




       Understanding Mutual funds is easy as it's such a simple concept: a mutual

fund is a company that pools the money of many investors -- its shareholders -- to

invest in a variety of different securities. Investments may be in stocks, bonds, money

market securities or some combination of these. Those securities are professionally

managed on behalf of the shareholders, and each investor holds a pro rata share of the

portfolio -- entitled to any profits when the securities are sold, but subject to any

losses in value as well.



For the individual investor, mutual funds provide the benefit of having someone else

manage your investments and diversify your money over many different securities

that may not be available or affordable to you otherwise. Today, minimum investment

requirements on many funds are low enough that even the smallest investor can get


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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

started in mutual funds.



A mutual fund, by its very nature, is diversified that is, its assets are invested in many

different securities. Beyond that, there are many different types of mutual funds with

different objectives and levels of growth potential, furthering your chances to

diversify.




 Evolution:

         In most of the countries, mutual funds have emerged as strong rivals to
 banking industry in mobilizing savings funds. The reason that may attributed to
 same is that in the banking sector there are many restrictions for investment in
 the capital market, there as the mutual funds have been a free access to these
 markets which in other words have given then an upper hand in the matter of
 operations. Consequently, the returns from mutual funds investment are higher
 compared to the returns out of savings in banks in an ideal market condition.
 Thus, he mutual funds i8ndusty has witnessed a tremendous growth in countries
 like Mexico and South Africa.




 Mutual Funds can be broadly classified under 3 heads namely


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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

 a) Investment Trust

 b) Holding companies

 c) Finance Companies

     Out of the above the investment trust got a boost because of good public
 response and today we have in India Unit Trust of India that was constituted on
 similar lines with the unit trust in the U.S.A.

    The unit trusts are open-ended schemes where the investor can buy and sell
 ‘Unit’ at his only will and wish. The other advantage of unit Trust is that even a
 small investor can hold shares of many companies and enjoy the returns arising
 lot of the investment.

        The unit trust of India was constituted under the unit Trust of India act,
 1963 and became operational in the year 1964 with the basic objectives of
 mobilizing savings through the sale of units and investing them in corporate
 securities with the idea of maximizing yield from them and capital appreciation
 with inbuilt liquidity. The unit trust of India still commands a good position
 among mutual fund in India and approximately 90% of the investments in
 mutual fund are in the schemes floated by unit trust of India.

      The unit trust of India has many highlights in its performance so far. The
 monopoly of unit trust of India was brought to an end with the entry of public
 sector mutual funds in the year 1987. Canara bank, State Bank of India, Punjab
 National Bank and Indian bank floated the premier mutual funds that came into
 being during 1987.




 DEFINITIONS:




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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

         The reason for increased response towards mutual funds world over is on
 account of investment analyst, who takes investment decisions based on research.
 The concept of the lower risk carried on by the investor as the funds are diverted
 with professional body of investment analyst, who take investment decisions based
 on research. The concept of mutual fund has been defined in various ways.

         According to SEBI (Mutual Fund) regulatins1993, “Mutual fund means
 a fund established in the form of trust by sponsor to raise moneys by the trustees
 through the sale of units to the public under one or more schemes for investing
 in securities in accordance with these regulations”.

         However in the Indian context it is safe to define “Mutual Fund as trusts
 accepting savings from the investors and invest the same as per the objectives
 incorporated in the trust deed to manage diversified portfolio which in turn
 assure reasonable returns to the investors.”

Why invest in Mutual Funds.
       Investing in mutual has various benefits which makes it an ideal investment
avenue. Following are some of the primary benefits.


Professional investment management
       One of the primary benefits of mutual funds is that an investor has access to
professional management. A good investment manager is certainly worth the fees you
will pay. Good mutual fund managers with an excellent research team can do a better
job of monitoring the companies they have chosen to invest in than you can, unless
you have time to spend on researching the companies you select for your portfolio.
That is because Mutual funds hire full-time, high-level investment professionals.
Funds can afford to do so as they manage large pools of money. The managers have
real-time access to crucial market information and are able to execute trades on the
largest and most cost-effective scale. When you buy a mutual fund, the primary asset
you are buying is the manager, who will be controlling which assets are chosen to
meet the funds' stated investment objectives.


Diversification

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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

       A crucial element in investing is asset allocation. It plays a very big part in the
success of any portfolio. However, small investors do not have enough money to
properly allocate their assets. By pooling your funds with others, you can quickly
benefit from greater diversification. Mutual funds invest in a broad range of securities.
This limits investment risk by reducing the effect of a possible decline in the value of
any one security. Mutual fund unit-holders can benefit from diversification techniques
usually available only to investors wealthy enough to buy significant positions in a
wide variety of securities.


Low Cost
       A mutual fund let's you participate in a diversified portfolio for as little as
Rs.5,000, and sometimes less. And with a no-load fund, you pay little or no sales
charges to own them.


Convenience and Flexibility
       Investing in mutual funds has it’s own convenience. While you own just one
security rather than many, you still enjoy the benefits of a diversified portfolio and a
wide range of services. Fund managers decide what securities to trade, collect the
interest payments and see that your dividends on portfolio securities are received and
your rights exercised. It also uses the services of a high quality custodian and
registrar. Another big advantage is that you can move your funds easily from one fund
to another within a mutual fund family. This allows you to easily rebalance your
portfolio to respond to significant fund management or economic changes.




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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

Liquidity
       In open-ended schemes, you can get your money back promptly at net asset
value related prices from the mutual fund itself.


Transparency
       Regulations for mutual funds have made the industry very transparent. You
can track the investments that have been made on you behalf and the specific
investments made by the mutual fund scheme to see where your money is going. In
addition to this, you get regular information on the value of your investment.


Variety
       There is no shortage of variety when investing in mutual funds. You can find a
mutual fund that matches just about any investing strategy you select. There are funds
that focus on blue-chip stocks, technology stocks, bonds or a mix of stocks and bonds.
The greatest challenge can be sorting through the variety and picking the best for you.


Mutual fund route offers several important advantages.

    The popular saying, “don’t keep all the egg in one basket” is quite
       appropriate in the case of instruments, if an investor wishes to maximize
       his returns, he should invest in a variety of securities available across the
       market.    However, a small investor with his limited savings can not
       acquire a number of securities of different companies and industries.
       Thus, the investor gets a proportion of the average market. This specific
       character of mutual fund investment avenues further, the modern portfolio
       they states that, diversification reduces the risk and improves the scope
       for higher returns.
    Professionals who have knowledge and experience in security analysis
       and portfolio management manage the corpus amount mobilized by the
       mutual funds under various schemes. Research is continuous process in
       mutual funds, where they identify the under valued and high yielding
       securities and make will-timed purchases and sales. An investor of a
       mutual fund schemes may gain out its professional management. The


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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

       investor can save his cost and time in identifying the securities; he can
       share the benefits of reach and management costs of the funds with other
       investor.
    Mutual funds are floating different schemes with variety investment
       objectives. This creates an opportunity among investors to choose the
       schemes based on their objective, motivations, and requirements.
    In addition to the above advantages, the Indian mutual funds are
       specifically offering the following benefits to the investors.

          In the case of investment in equity shares or debentures, the allotment
           would be based on lost or proportional.        Whereas, almost all the
           mutual funds promise assure allotment to all investors to the extent of
           amount subscribed by them. This reduces the investor’s time.
          Mutual funds offer certain tax incentives to the investors and
           additional tax benefits for investing in tax planning schemes.

The presence of the Mutual fund institutions in the economy offers certain
advantages to the economy-

    Mutual funds are the financial intermediaries, which mobilize the savings
       from surplus units and transfer them to the capital and money market by
       investing in a variety of financial instruments.
    Mutual funs with support of their professional managers, carefully
       analyses the prospects of new companies and new industries if the
       prospects are good, subscribe large amounts to he equity and debt capital
       of newly established companies.
    Mutual funds as institutional investors, with their professional expertise in
       the stock trading. The increased participation of professional rational
       investment reduces the undesirable speculation in the capital market.




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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

                Classification of Mutual Fund Schemes

          Any mutual fund has an objective of earning income for the investor’s
 and/ or getting increased value of their investments. To achieve these objectives
 mutual funds adopt different strategies and accordingly offer different schemes
 of investments. On this basis the simplest way to categorize schemes would be
 to group these into

       Operational classification highlights the two main types of schemes, i.e., open-
 ended and close-ended which are offered by the mutual funds.

       Portfolio classification projects the combination of investment instruments and
 investment avenues available to mutual funds to manage their funds. Any portfolio
 scheme can be either open ended or close ended


 A. Operational Classification or on Structural basis:

 Open Ended Schemes:

          As the name implies the size of the scheme (Fund) is open – i.e., not
 specified or pre-determined. Entry to the fund is always open to the investor
 who can subscribe at any time. Such fund stands ready to buy or sell its
 securities at any time. It implies that the capitalization of the fund is constantly
 changing as investors sell or buy their shares. Further, the shares or units are
 normally not traded on the stock exchange but are repurchased by the fund at
 announced rates. Open-ended schemes have comparatively better liquidity
 despite the fact that these are not listed. The reason is that investor can any time
 approach mutual fund for sale of such units. No intermediaries are required.
 Moreover, the realizable amount is certain since repurchase is at a price based
 on declared net asset value (NAV). No minute-to-minute fluctuations in rates
 haunt the investors. The portfolio mix of such schemes has to be investments,
 which are actively traded in the market. Otherwise, it will not be possible to
 calculate NAV. This is the reason that generally open-ended schemes are Equity
 Based.


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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

       Moreover, desiring frequently traded securities, open-ended schemes
 hardly have in their portfolio shares of comparatively new and smaller
 companies since these are not generally traded. In such funds, option to reinvest
 its dividend is also available. Since there is always a possibility of withdrawals,
 the management of such funds becomes more tedious as managers have to work
 from crisis to crisis. Crisis may be on two fronts, one is, that unexpected
 withdrawals require funds to maintain a high level of cash available every time
 implying thereby idle cash. Fund managers have to face questions like ‘ what to
 sell’. He could very well have to sell his most liquid assets. Second, by virtue of
 this situation such funds may fail to grab favorable opportunities. Further, to
 match quick cash payments, funds cannot have matching realization from their
 portfolio due to intricacies of the stock market. Thus, success of the open-ended
 schemes to a great extent depends on the efficiency of the capital market. The
 holders of the shares in the fund can resell them to issuing Mutual Fund
 Company at any time They receive in turn the net asset value (NAV) of the
 shares at the time of resale. Such mutual funds companies place their funds in
 the secondary securities market. They do not participate in new issue markets
 to pension funds or life insurance investment companies. Can sell an unlimited
 number of shares and thus keep going larger. The open end mutual funds by or
 sell their own share.

       These companies ell new shares at NAV plus a loading or management
 fee and redeem scheme at NAV.         UTI’S Unit scheme, 1964 and CANCIGO
 and CANGICT are few examples of such funds. The minimum corpus for and
 open-ended fund is fifty crores a per SEBI guidelines.

 (b) Close Ended Schemes:

       Such schemes have a definite period after which their shares/units can be
 redeemed. Unlike open-ended funds, these funds have fixed capitalization, i.e.,
 their corpus normally does not change throughout its life period. Close ended
 fund units trade among the investors in the secondary market since these are to
 be quoted on the stock exchanges. Their price is determined on the basis of
 demand and supply in the market. Their liquidity depends on the efficiency and


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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

 understanding of the engage broker. Their price is free to deviate from NAV,
 i.e., there is every possibility that the market price may be above or below its
 NAV. If one takes into account the issue expenses, conceptually close ended
 fund units cannot be traded at a premium or over NAV because the price of a
 package of investments, i.e., cannot exceed the sum of the prices of the
 investments constituting the package. Whatever premium exists that may exist
 only on account of speculative activities. In India as per SEBI (MF) Regulations
 every mutual fund is free to launch any or both types of schemes. Close– ended
 mutual funds are different form the open-ended mutual fund. Close-ended and
 investment company has definite target amount for the funds and can not sell
 more shares after its initial offering. Its growth in terms of numbers is limited.
 Its shares are issued like together company’s new issue listed and quoted at
 stock ex change. That minimum corpus for Close-ended fund is Rs20 crores.
 Close-ended funds changed funds the secondary market acquisition of corporate
 securities.

         There is no necessary relationship between the price of close-ended
 mutual fund share and its NAV. Its shares may les per the current NAV per
 share, per more,(at a premium) as per less(at discount). Investor’s doubts about
 the abilities of the funds management lack of sales effort (brokers earn less
 commission of close ended schemes then open ended schemes) risk ness of the
 fund.




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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

              B. Portfolio classification of mutual funds.


       These are specific mutual funds, which are structured for feeding a
 particular invests able purpose. The objective of funds provide fixed return for
 those who design safety

 Equity (Stock) Funds:

        Equity Funds are those that invest primarily in stock. The actual portfolio
 holing, trading style, portfolio turnover, etc, are widely depending on the fund’s
 investment objectives and manager’s style.

 Aggressive Growth:

        These funds are also called capital Appreciation fund. Having an investment
 objective of maximum capital gains, with minimal or no concern for dividends or
 income. These funds tend to be some of the most volatile, with share price rise that
 can be thrilling and drop that can be frightening. Not only do the portfolios holding
 them be volatile, but many aggressive growth funds magnify the volatility by using
 borrowed money (leverage) to increase the size of the position held. Some funds in
 this category growth funds fall into the aggressive growth area.

      Aggressive growth funds purchase shares of stock in smaller companies, which
 have a chance to grow at a faster pace than more “mature” companies. Of course,
 there is also greater risk involved with investing in less established companies.
 Aggressive growth funds are usually recommended for the investors who seek long-
 term capital appreciation and will not need access to money for at least ten years.

Balanced:

       Funds invest in a mix of common stock and corporate bonds. The weighting of
going piece of the mix depends on the fund manager’s perceptions of where the
markets and economy are going. Some preferred stock and convertible securities are
commonly allowed, as are cash equivalents such and Treasury Bills, CDs, and
commercial paper.



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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

Global:

       It is Similar to international, but with the option of investing anywhere
globally including the U.S.

Growth:

       The goal for these funds is long-term growth of capital. Growth funds own
shares of medium to large companies, and could include such familiar “blue chip”
names as IBM and GENERAL ELECTRIC. Normally, these established companies
will grow at a moderate pace, and will pay regular dividends to owner of its shares. If
mutual fund is the owner the fund will collect these dividend and pass them to mutual
funds shareholders once are more per year. While capital appreciation is major
objective of these type of fund income derived from dividends is secondary objectives
investments are typically in long – growth stocks, with a lower portfolio turnover then
the aggressive growths funds. Dividends yield tend to be low.

Growth and income:

       Despite the name, fund in this category are typically more interested in growth
than income with typical dividend rates on the portfolios in the 1% range. The usual
portfolio is Blue Chip stock, with some income enhancing securities like convertible
preferred stocks are bonds thrown in to the mix.

Index:

       Unlike traditional stock funds, which are managed actively by a portfolio
manager based on analysis of economic and market movements, index funds are
passively managed. A passively managed fund buys and holds securities selected to
represent its unmanaged target index, such as standard and poor 500 index.




Sector:

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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

       Concentrates investments on a narrow market sector like Health care, internal
stocks, bio technology, and so on. Sector funds tend to be volatile as industry groups
fall into and out of favor; portfolios are diversified only within industry group.

Real estate funds:

       Real estate funds are of close-ended type. The funds are named so because
primary investment is real estate ventures.

Bond funds:

       Bond funds are objective of safety. Bond funds are liquid prices of funds
fluctuates with changing interest rates.




       C. Geographical Classification of Mutual Funds



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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

       National boundaries provide territorial restrictions on the sale and
 purchase of mutual funds units or share, as is the case in commodity trade or
 service in view of the, Mutual funds which operate with in the nation
 boundaries are different form those which are meant for subscription of
 foreigners or the countries national living out side its share. The classification is
 of broadly tow types.

 1) Domestic Mutual Funds

 2) Offshore Mutual Funds

 Domestic Mutual Funds

       Domestic Mutual Funds are the saving schemes, which are open for
 mobilizing saving of the nationals with in the country. All the Mutual fund
 schemes in vogue in the country vis-à-vis, UTI, GIC Mutual Fund, LIC Mutual
 Fund, SBI Mutual fund, CAN Bank Mutual Fund, PNBMF and BOIMF are the
 domestic schemes.

 Offshore Mutual Funds

       The basic objective of opening offshore Mutual fund scheme is to attract
 foreign capital for investment purposes in the country of the issuing company.
 Offshore Mutual Funds thus facilitate cross border fund flow, which is a direct
 route for getting foreign currency without political strings or domination on the
 issue country.

       From investment point of view too, offshore Mutual funds open up
 domestic capital market to the international investor and global portfolio
 investments.

       The major point of difference between offshore Mutual funds and
 Domestic Mutual funds is the currency and country risk for the global investors
 as the source of funds from am broad because of high risk in a higher return in
 the invested funds can be expected. Like domestic mutual funds, the offshore



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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

 Mutual funds can also be functionally classified into Close-ended or Open-
 ended funds.

       The Major Offshore Mutual Funds opened so far have been close-ended
 schemes providing redemption of the units for individual investors only at the
 end of the period specified in the scheme. UTIs India funds 1986, India growth
 fund, SBIs India Magnum, Can Bank’s Indo-Swiss Himalayan fund, 1990 and
 Common wealth equity fund are all close-ended offshore funds.




 Characteristics of Mutual Fund Schemes




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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

       The following are mutual fund scheme characteristics of the Indian
 mutual fund schemes.


    Assurance of minimum returns:


        Mutual funds in general do not assure any minimum returns to their
 investors. Returns are paid to the investors, commensurate with the returns
 earned by the fund on the portfolio, as portfolio consists of various securities,
 whose returns are subject to market risks. Contrary to this, the Indian mutual
 fund schemes launched during 1987 to 1990 assured specific returns while
 marketing their schemes.

       I n 1991, SEBI together with the union ministry of finance ordered the
 mutual funds not assume minimum returns. Recently, SEBI has formulated of
 policy that, mutual funds with a track record ;of 5 years will be allowed to offer
 fixed returns. SEBI shall prescribe the returns to be assured from time to time.
 However, no fund will be allowed to offer fixed return for more than 1 year.


    Multiple Option

       Most of the mutual fund schemes are offering different option to the
 investor under one scheme. For example growth oriented scheme may offer
 option of either regular income plan, dividend shall be distributed to the
 investor, and under second dividend will be re-invested and the total amount at
 the time of redemption.

            Immediate monthly income.
            Deferred monthly income.
            Accumulated income and benefits under section 80 1 of the
               income act.
            Growth with capital gain.




  Lock in period


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A study on “Performance Evaluation of Mutual Funds with
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         Mutual fund schemes offer documents that contain a clause of lock in
 period ranging from one year to 3 years. Till the completion of the minimum
 period, the investors are neither allowed to trade the units on the stock exchange
 nor avail repurchased facility.


  Liquidity


    a) Open-ended mutual funds offer the facility of repurchase, and the close-
 ended schemes are also offering repurchase after a minimum period of two to
 three   year.

    b) Mutual funds units can be pledged or mortgaged in favor of commercial
 banks or financial institutions, and can obtain a loan according to the rules and
         regulations of the bank or financial institution.

   c) Mutual fund can be transferred in favors of any individuals.




                          PURPOSE OF THE STUDY




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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

       The purpose of the study is to know the returns and the risk associated with

the Mutual Fund’s Equity Diversified schemes and to find out which best scheme to

recommend.




                           SCOPE OF THE STUDY


    The present study includes 4 years average returns of the mutual funds, which

       have the total corpus (mass, quantity, amount,) value, of more than 10000

       crores.

    For my study I have scanned all the mutual funds companies and have taken

       only those schemes which are having the corpus value of more than 400 crores

       and age of the fund is more than 3 years.

    This study covers only equity diversified schemes which are subject to more

       fluctuating risks and returns.

    Since the number and nature of stocks, the proportion of stocks in the portfolio

       and the relative ness of portfolio to the index considered, differs, the portfolios

       are averaged at 0.5 for these factors for variance determination.

    To evaluate the performance of the Mutual Fund schemes, Sharpe’s index,

       Treynor’s index and Jensen’s Alpha measures are applied.




                         OBJECTIVES OF THE STUDY


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A study on “Performance Evaluation of Mutual Funds with
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     To know the performance of Mutual Fund of different companies.



     To evaluate the returns and the risk associated with mutual funds.



     To evaluate the investment performance of mutual funds with risk

        adjustment, by using the theoretical parameters as suggested by William.

        Sharpe, Treynor and Jensen.




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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”




CONTENTS

   - Organization Profile

   - Date Collection Methods

   -   Measuring Tools




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A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

                          ORGANIZATION PROFILE

        UTI SECURITIES LTD., (UTISEL) was incorporated on June 28, 1994 by

Unit Trust of India as its 100% subsidiary and on the repealing of the UTI Act, the

capital was now held by the Administrator of the Specified Undertaking of Unit Trust

of India (ASUUTI), on April 17, 2006 the entire share capital of the company was

transferred from SUUTI to Securities Trading Corporation Of India Ltd. [STCI] and

its nominees. UTISEL has been working as an independent professional entity for

providing financial intermediary and advisory services to corporate institutional and

retail clientele. The Company has built up a reputation for transparent and fair

execution of transactions, which have been well received and appreciated by its

clientele. The staff at UTI Securities strives to maintain the quality of services offered

to its clients at the highest degree.

        The Company has grown from an institutional brokerage house to a full-

fledged financial intermediary having nationwide presence in major cities with

branches and franchisees to service a wide range of clients. We are committed to

gradually enhancing our network in the near future.

        The Company has also invested in the joint-venture company with Standard

Chartered Bank viz. Standard Chartered UTI Securities (P) Ltd. that is engaged in

primary dealership and Government securities. The Company has started Commodity

Trading through its subsidiary, UTISEC COMMODITIES LIMITED, which provides

facility of commodity trading on NCDEX and MCX.

Mission and Vision:

To emerge as one of the leading providers of stock brokerage, investment banking and

related services, at par with the best in the world".

Management profile:

                                   BABASAB PATIL
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Mr. Dipankar Basu: Chairman

Mr. Dipankar Basu was appointed as Chairman and Director on the Board of UTI

Securities Limited at the Meeting of the Board of Directors held on April 17, 2006.


      Mr. Basu is the non-executive Chairman of Securities Trading Corporation of

India Limited and Rain Calcining Limited. Mr. Basu brings with him long experience

and specialized knowledge of financial markets in India. He has been the Chairman of

State Bank of India until August 1995. While acting as the Chairman, Mr. Dipankar

Basu served as a Member on the Boards of number of SBI subsidiaries including

those engaged in investment banking and fund management. He has been a Board

member of number of companies engaged in both financial and non-financial

businesses.



Even after retirement in 1995, Mr. Basu has been actively engaged in wide spectrum

of functions including being a member of the Disinvestment Commission set up to

advise the Government of India on public sector disinvestments. He has also been a

member of the Narsimhan Committee on Banking Sector Reforms.



Mr. Gopalakrishnan Narayanan: Director



Mr. Gopalakrishnan Narayanan, currently the Managing Director of Securities

Trading Corporation of India Limited has been appointed as an Additional Director on

the Board of our Company with effect from April 17, 2006.



Being qualified as BSc and CAIIB, Mr. Narayanan brings with him more than 36



                                BABASAB PATIL
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A study on “Performance Evaluation of Mutual Funds with
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years of experience and knowledge. He joined Bank of India in 1970. Large part of

Mr. Narayanan’s career was in International Treasury and Foreign Exchange related

areas. He has had two stints of Overseas Assignments at Tokyo and Jersey Branches

of Bank of India.



Mr. Narayanan has attended number of trainings conducted by in-house training

college, Bankers Training College of Reserve Bank of India in Treasury and Forex

related areas. He has been a regular guest faculty on Treasury & Forex related

subjects in in-house training colleges & Bankers Training College of Reserve Bank of

India.



Dr. D C Anjaria: Director

An MBA in finance from the IIM (A), he has had 20 years of experience with

Citibank N.A. in India and overseas. He worked as Chief of Staff with Citicorp

Investment Bank in Paris, France. In 1988, Dr. Anjaria joined the Unit Trust of India

to establish and head UTI Institute of Capital Markets, a unique specialised training

and research institution. Currently he runs an independent consulting operation-

International Financial Solutions Pvt. Ltd. to advise clients in areas including

corporate strategy, financial risk management and use of derivative products.



Shri A Rama Mohan Rao: Managing Director



Chartered Accountant by profession, Shri Rao is the Managing Director of the

Company since July 2002. He has worked with UTI for a period of 22 years in

various functional areas of marketing, accounting, operations, Investments and Fund


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A study on “Performance Evaluation of Mutual Funds with
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Management in different capacities.

He worked as Branch Manager at UTI Branches, as Functional Head in International

Finance and Investment Department and also as one of the Chief Investment Officers

for UTI schemes. He has represented as one of the Indian Delegates at the Asia

Oceania Regional Meeting for Investment Managers held at Singapore in 2002. At

UTISEL he is responsible for the overall management and performance of the

Company.

Products and services:

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Execute Margin Orders upto 3 to 4 times your available funds. The same is available

for select group of stocks listed on NSE & BSE.

ANST: Sell shares before you receive the same in your demat account. You can avail

of this facility 1st and 2nd day after the buy order date.


                                  BABASAB PATIL
                                           -29-
A study on “Performance Evaluation of Mutual Funds with
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Derivative:

With a Derivative-approved Usec trade account, you can pursue a wide range of

Futures & Options trading strategies with speed and ease. We deliver the support,

information and structure that quickly lets you spot potential opportunities and act on

them fast

Mutual Fund:

At Usectrade, we offer access to more than 1000 mutual fund schemes from leading

fund families. These funds provide broad diversification and cover a range of

investment objectives, philosophies, asset classes and risk exposures. Trades may be

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broker.

IPO:

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your investments in a relatively short period of time. We have made investing in IPOs

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Commodities:

Metals, energies, grains and livestock — whatever you wish to trade, you'll find it on

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analytical, and execution tools that makes trading commodities easy.



Insurance:

       Usectrade in association with Birla Sunlife brings you a secure insurance option

without the hassles and worries of a conservative insurance plan. With least


                                 BABASAB PATIL
                                          -30-
A study on “Performance Evaluation of Mutual Funds with
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paperwork, you get the dual benefit of a risk cover and savings. What's more, we shall

send you regular reminders about your premium payments due.

Bonds

      Fixed income securities can help reduce your risk within an investment

portfolio while providing a steady stream of income over time. Currently you can

choose to invest online in GOI Bonds. If you are looking to diversify your portfolio,

possibly improve your tax efficiency and/or reducing your risk exposure, you may

want to consider making fixed income securities part of your personal investment

strategy



Research:

Charting Tools - Get a combined view of stocks, rapid price changes and volume

increases with this pre-trade analytic tool. Enables you to do technical market analysis

of stocks on price, volume, market cap and P/E for NSE/BSE Benchmark against

Domestic as well as International Indices.

Sector Watch - You can access sector-wise information to track sectors and individual

scrips within the sector, which makes analysis easy for you.



Corporate Infohub - We provide you with exhaustive company information, detailed

financials and ratios. And we also allow you to evaluate financials across peer

companies. Our extensive database covers more than 4000 companies.



Newsroom - View live market news from the most reliable sources on equity, debt,

politics and general events. You even have access to live news analysis, market

commentary and happening stocks.


                                 BABASAB PATIL
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A study on “Performance Evaluation of Mutual Funds with
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Customer Service & Other Value Added Services

Online Query Resolution - With our "Quick Mail" tool you can resolve all your

problems online.



Online Ledger - View your Digital Contract Note, summary of your transactions

using Online "Bills & Accounts"



My Inbox - Maintain records of all Important notifications related to your account



SMS Alerts - Set Price based Alerts for Stocks of your choice

Dedicated Customer Care Centre & State-of- the-art Phone-2-Trade Desk



Interactive Demo - A step-by-step guide to enable you to navigate through the

process of Investing Online on our website Usectrade.com

Subscription to Mailers - Subscribe to our Inhouse Research Reports covering our

entire Product Bouquet




Investment Banking and Advisory Services

Investment Banking is one of the prime focus areas of the company and we provide

value added, customized solutions to our clients. Leveraging on the knowledge,

expertise and experience of our professionals, we offer services that range from

managing public issues, debt and equity placements, corporate advisory services and

financial consultancy to facilitating mergers and acquisitions.


                                 BABASAB PATIL
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The Investment Banking Team's business philosophy emphasizes:-

   •   Long-term relationship with clients.

   •   A strong research-based advice.

   •   Innovative solutions and speedy execution.

   •   Ethical and transparent conduct of business.
       It has always been the endeavor of UTI Securities to bring all the market
       constituents together in a mutually beneficial relationship.

Equity capital Markets
       The Issue Management group focuses on public issues, open offers and buy
back issues. Our proximity to large institutions gives us an added advantage in placing
large equity issues. This division is supported by a nationwide network comprising of
12 branches, 15 franchisees and sub-brokers across the country for retail distribution.
Within a short span, UTISEL has already been recognized as one of the leading
merchant bankers in India.
       UTI Securities has consistently provided professional guidance and expert
services. Over the years, it has developed strong relationships with institutional
investors and other market intermediaries, enabling it to structure and successfully
place a wide array of Capital Market products that meet the requirements of the
issuer, investor and the market.




The Equity Capital Markets group offers the following services:

   •   Initial Public Offerings

   •   Rights Issues

   •   Buy-Back

   •   Underwriting

   •   Open Offers

   •   Delisting of Securities




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   •   Private Equity


The Equity Capital Markets group seamlessly draws on the expertise provided by the

Equity Research and Equity Sales teams on all the public offerings.

       We have been associated with a number of issues in different capacities as

Lead Managers, Co Managers, Syndicate/Sub-syndicate Members, etc. in the past.

We successfully lead managed recently the public issue of Four Soft Ltd., a software

products company, with an issue size aggregating Rs. 200 million. We were also

involved as a syndicate member in the issue of Indraprastha Gas Ltd. where we

procured over 12,000 applications.



Our Clients:

We are currently lead managing the issues of SMS Pharmaceuticals, a bulk drugs

manufacturer; Glenmark Laboratories Ltd. which is in formulations segment;

Vivimed Labs Ltd., manufacturer of pharmaceutical ingredients catering to the

personal care industry and Crew BOS Products Ltd., a fashion accessories

manufacturer. The size of the said issues ranges from Rs. 150 million to Rs. 500

million. We are also Lead Managing Rights Issue of Varun Shipping Company Ltd of

Rs.130 -150 Crores. We also pursue Buyback/Delisting offers amongst others.

We are aiming at making further inroads by securing mandates of premier companies

in the Pharmaceutical, Textiles, Information Technology, Hospitality, Banking and

Housing Finance industries amongst others.



Private Equity

       The Private Equity Group arranges equity placement through the off-market



                                BABASAB PATIL
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route using its privileged relationships with various Venture Capital and Strategic &

Portfolio Equity investor who operate from within the country as well as from abroad.

The Private Equity group assists companies seeking capital infusions in the form of

seed capital, venture capital, angel investment, strategic investment, and mezzanine

financing from the private equity marketplace.

       The private equity group identifies start –up, later stage projects for investing

in well-managed companies, which are placed to grow rapidly and to take advantage

of the favourable economic conditions existing within the space with a clearly defined

business model. Private Equity Group has followed the philosophy of being a multi-

sector player, as it believes that in the Indian context it ensures an optimum balance of

risk and return to its investors. Private Equity Group has demonstrated its industry

expertise in different sectors by backing diverse sectors like Pharma, Power,

Entertainment, Information Technology etc.

       The Private Equity division has been successful in arranging pre IPO funding

from venture capitalists/Private Equity investors. Recently we have done the

placement for Four Soft Ltd. and Glenmark Laboratories Ltd. aggregating Rs. 140

million.




       Data Collection:

       Data source:

       Secondary data           -        Reports from UTI securities and other reports

       from                                   related websites.


       Measuring tools and Techniques:

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                                   Techniques of analysis:


 1. Return:

       Return on a typical investment consists of two components. The basic is the
 periodic cash receipts (or income) on the investment, either in the form of interest or
 dividends. The second component is the change in the price of the assets-commonly
 called the capital gain or loss. This element of return is the difference between the
 purchase price and the price at which the assets can be or is sold; therefore, it can be
 a gain or a loss.

 The return has been calculated as under:

                               NAVt – NAVt-1

 Portfolio return: Rit =---------------------------------

                                       NAV t-1

 Where Rit is the difference between Net Asset Values for two consecutive days
 dividend by the NAV of the preceding day.

                             M.indt – M.indt-1

 Market return: Rmt =--------------------------------

                                   M.indt-1




       Where Rmt is the difference between market indices of two consecutive days
 dividend by the market index for the preceding day


 2. Risk :

       Risk is neither good nor bad. Risk in holding securities is generally associated
 with the possibility that realized returns will be less than expected returns. The
 difference between the required rate of returns on mutual fund investment and the



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 risk free return is the risk premium. Risk can be measured in terms of Beta &
 standard deviations.


 Standard deviation:

       It is used to measure the variation in individual returns from the average
 expected returns over a certain period. Standard deviation is used in the concept of
 risk of a portfolio of investments. Higher standard deviation means a greater
 fluctuation in expected return.


                  SD =           n ∑X2 – (∑X)2
                                   n (n-1)



 Beta :

       Beta measures the systematic risk and shows how prices of securities respond
 to the market forces. It is calculated by relating the return on a security with return
 for the market. By convention, market will have beta 1.0.Mutual fund is said to be
 volatile, more volatile or less volatile. If beta is grater than 1 the stock is said to be
 riskier than market. If beta is less than 1, the indication is that stock is less risky in
 comparison to market. If beta is zero then the risk is the same as that of the market.
 Negative beta is rare.


       ß = Covar / (SD)2

       Where, Covariance (covar) is the average of the products of deviations for
 each data point pair. And, covar is calculated as:


       Covar = 1/n Σ(xi –µ x)(yi - µy)

       Where, x = scheme returns.

               y = market returns.


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          µ = mean.


         β   =      nΣxy - (Σx)( Σy)

                 nΣx2-(Σx)       2


      Where, n = number of years

                  X = rolling returns of the BSE index

                  Y = rolling returns of the schemes




 3.    Sharpe index

         Sharpe index measures risk premium of a portfolio, relative to the total
 amount of risk in the portfolio. Sharpe index summarizes the risk and return of a
 portfolio in a single measure that categorizes the performance of funds on the risk-
 adjusted basis. The larger the Sharpe’s index the portfolio over performs the market
 and vise versa.

Formula to calculate Sharpe’s measure is:




                             RP - Rf
                  St =
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                             SD




Where,

st = Sharpe’s index

Rp= portfolio return

Rf= Risk free rate of return (5%)
SD= Standard Deviation of the port folio




 4.   Treynor’s Index

         Treynor’s model is on the concept of the characteristics straight line. The
 characteristics line has drawn a relationship between the market return and a specific
 portfolio without taking into consideration any direct adjustment for risk. It is also
 known as reward to volatility ratio and is defined as:




         The formula for Treynor’s Index is:



                           Portfolio avg return (Rp) – risk-free rate of interest (Rf)



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 Treynor index (Tn) =

                                    Beta coefficient of portfolio (Bp)




                             Rp -Rf

              Tn =

                               Bp

         It measures portfolio risk in terms of beta, which is weighted average of
 individual security beta. The ratio is investors, for who the fund represents only a
 fraction of their total assets. The higher the ratio better is the performance.




 5. Alpha

       The size of the alpha exhibits the stock’s unsystematic return and its average
 return independent of market return. If the fund produces the expected return at the
 level of risk assumed, the fund would have an alpha equal to zero. A positive alpha
 indicates that the manager produced return greater than expected for the risk taken.
 Alpha is calculated by comparing the fund’s actual performance with the risk-
 adjusted expected return.

 Where    Rp = portfolio return

          Rf = Risk free rate of return (5%)



                                  BABASAB PATIL
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          Rm = average market return

             -
    α =(Rp Rf) - Beta (Rm- Rf)




                              BABASAB PATIL
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A study on “Performance Evaluation of Mutual Funds with
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       CONTENTS


          - Methodology

          - Results & Discussion with Charts & Graphs

          - Conclusion

          - Bibliography




                                        Methodology


              The following table shows the list of AMC in India & the corpus value
       of individual AMC in the month of October and November 2006.


S.No        Mutual Fund                       AUM          AUM          Increase/ Change
                                              31/01/2007   31/12/2006             %
                                                                        Decrease
  1.        LIC Mutual Fund                   16480.90     12458.88     4022.02   32.28
  2.        UTI Mutual Fund                   41622.51     37789.97     3832.54   10.14
  3.        Benchmark Mutual Fund             8951.09      5659.42      3291.67   58.16
  4.        Reliance Mutual Fund              34636.90     3152.28      3064.62   9.71
  5.        Kotak Mahindra Mutual Fund        13542.09     10938.29     2603.8    23.80


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6.    Pru ICICI Mutual Fund                 35232.16   32664.03     2568.13     7.86
7.    DSP Merrill Lynch Mutual Fund         14277.26   11781.10     2559.16     21.84
8.    HDFC Mutual Fund                      29555.13   27552.96     2002.17     7.27
9.    PRINCIPAL Mutual Fund                 11887.17   10050.54     1836.63     18.27
10.   Deutsche Mutual Fund                  6138.66    5155.57      982.72      19.06
11.   Birla Mutual Fund                     17474.97   16821.57     653.2       3.88
12.   HSBC Mutual Fund                      10312.24   9691.28      620.95      6.41
13.   JM Mutual Fund                        4664.6     4097.05      567.55      13.85
14.   SBI Mutual Fund                       15961.26   15496.18     465.09      3.00
15.   ABN AMRO Mutual Fund                  5738.67    5335.14      403.53      7.56
16.   Fidelity Mutual Fund                  5786.05    5399.96      386.09      7.15
17.   Standard Chartered Mutual Fund        12894.13   12541.59     352.54      2.81
18.   ING Vysya Mutual Fund                 3834.43    35781.17     256.26      7.16
19.   DBS Chola Mutual Fund                 2145.33    1938.74      206.59      10.66
20.   Morgan Stanley Mutual Fund            3026.44    2864.58      161.87      5.65
21.   Tata Mutual Fund                      12521.86   12472.36     47.51       0.38
22.   Sahara Mutual Fund                    203.33     160.94       42.39       26.34
23.   Sundaram Mutual Fund                  6854.99    6818.87      36.12       0.53
24.   Escorts Mutual Fund                   127.70     123.18       4.52        3.67
25.   Quantum Mutual Fund                   55.15      51.51        3.65        7.09
26.   BOB Mutual Fund                       150.21     165.49       -15.28      -9.23
27.   Taurus Mutual Fund                    258.29     275.92       -17.63      -6.39
28.   Franklin Templeton Investments        23832.70   23920.26     -87.57      -.037
29.   Canbank Mutual Fund                   2304.91    2737.86      -332.85     -12.62




        The AMC which have the AUM of more than 10,000Crs

        1st STEP:

        The selection of AMCs for analysis is on the basis of AUM value of individual
 AMC. From all the AMCs, the fund, which have the AUM of more than 10,000crs
 only those AMCs are taken for the study.

        The following table shows the list of AMCs, which have the AUM of more
 than 10,000Crs in the month of December 2006 and January 2007, & the % change in
 the values in a month also are shown.


                                BABASAB PATIL
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S. No   AMC                              AUM        AUM        Absolute %Change
                                         31/01/2007 31/12/2006 change



  1.    UTI Mutual Fund                  41622.51     37789.97   3832.54   10.14

  2.    Pru ICICI Mutual Fund            35232.16     32664.03   2568.13   7.86

  3.    Reliance Mutual Fund             34636.90     3152.28    3064.62   9.71

  4.    HDFC Mutual Fund                 29555.13     27552.96   2002.17   7.27

  5.    Franklin Templeton Investments   23832.70     23920.26   -87.57    -.037

  6.    Birla Mutual Fund                17474.97     16821.57   653.2     3.88

  7.    LIC Mutual Fund                  16480.90     12458.88   4022.02   32.28

  8.    SBI Mutual Fund                  15961.26     15496.18   465.09    3.00


  9.    DSP Merrill Lynch Mutual Fund    14277.26     11781.10   2559.16   21.84

  10. Kotak Mahindra Mutual Fund         13542.09     10938.29   2603.8    23.80

  11. Standard Chartered Mutual Fund     12894.13     12541.59   352.54    2.81

  12. Tata Mutual Fund                   12521.86     12472.36   47.51     0.38

  13. PRINCIPAL Mutual Fund              11887.17     10050.54   1836.63   18.27

  14. HSBC Mutual Fund                   10312.24     9691.28    620.95    6.41




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2nd STEP

Equity diversified Schemes:

     There are varieties of schemes offered by the AMCs. Equity diversified is one of

the schemes offered by the AMC. The selection criteria of schemes are totally based

on the fund size and age of the fund. The scheme, which has the corpus value of more

than 400crs and the age of the fund, is more then 3yrs only those funds are qualified

for the analysis.



        Equity Diversified Fund diversifies their portfolio evenly across stocks and

industry sectors. The returns from them tend to be moderately high over a long-term

horizon but since the prices of equity shares fluctuate on the stock markets, the net

asset value is subject to these fluctuations. These funds suit investors who have

moderate risk appetite. In a diversified fund, the risk of down-side is mitigated by the

breadth of variety of stocks in the portfolio. Since the portfolio is diversified, the



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  under-performance in some stocks or sectors in which the fund has invested is

  balanced by the superior performance of other stocks or sectors




        The following are the equity-diversified schemes in the selected funds
  at the current date.1/02/2007
                           Tables for fund size and fund age
                                    UTI Mutual Fund



S. No   Scheme Name                              Fund Size     Date of      Fund    Fund
                                                               Inception    Age     Class
   1.    UTI Master Plus 91(G)                   863.52        31/12/1991   15.16   ED

   2.    UTI Index Select Equity (G)             216.36        12/05/97     9.58    ED
   3.    UTI Mastergrowth 93 (G)                 346.95        18/01/93     14.08   ED
   4.    UTI Large Cap (G)                       25.53         07/04/04     2.83    ED
   5.    UTI Mastershare (G)                     1,828.        19/09/1986   20.33   ED
   6.    UTI Equity Fund (G)                     1,451.73      18/05/92     14.75   ED
   7.    UTI Growth & Value Fund (G)             151.96        28/10/99     7.33    ED
   8.    UTI Leadership Equity Fund (G)          1,027.84      30/01/06     1.08    ED
   9.    UTI Dividend Yield Fund (G)             516.88        03/05/05     1.91    ED
   10    UTI India Advantage Equity (G)          55.84         05/02/00     7       ED
   .
   11    UTI Dynamic Fund (G)                    128.27        12/09/03     3.41    ED
   .
   12    UTI Master Value Fund (G)               647.68                     9.08    ED
   .                                                           01/06/98
   13    UTI Mid Cap (G)                         80.70         07/04/04     2.83    ED
   .
   14    UTI Opportunities Fund (G)              497.79                     1.58    ED
   .                              BABASAB PATIL                20/07/05
   15    UTI Contra Fund (G)              -46- 640.04                       0.91    ED
   .                                                           22/03/06
   16    UTI Wealth Builder Fund (G)             905.02        07/09/06     0.41    ED
   .
A study on “Performance Evaluation of Mutual Funds with
    Reference to risk and return”




S. No    Scheme Name                         Fund       Date       of Age       of Fund
                                             Size       inception the fund class
   1.    Pru ICICI Infrastructure (G)        1,562.32             1.5      ED
                                                        16/08/05
   2.    Pru ICICI Dynamic Plan (G)          1,533.33   18/10/2002       4.33      ED

   3.    Pru ICICI Services Indus. (G)       424.02                      1.25      ED
                                                        18/11/05
   4.    Pru ICICI Growth (G)                406.88     19/06/98         8.66      ED

   5.    Pru ICICI Emerging S.T.A.R.(G)      933.66                      2.75      ED
                                                        05/10/04
   6.    Pru ICICI Discovery Fund (G)        908.60                      2.58      ED
                                                        23/07/04
   7.    Pru ICICI Fusion Fund (G)           634.15     27/02/06                   ED
                                                        (1)
   8.    Pru ICICI Power (G)                 1,025.49                              ED
                                                        05/10/01(5.33)




                                   Prudential ICICI Mutual Fund




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 S. No        Scheme Name                 Fund       Date       of Age of Fund
                                          Size       inception     the     class
                                                                   fund
    1.        Reliance RSF – Equity (G)   160.50     10/05/05      1.75    ED


    2.        Reliance NRI Equity Fund    121.23     01/11/04      2.25    ED
              (G)

    3.        Reliance Equity Opp. Fund   2,214.79   07/03/05      1.58    ED
              (G)

    4.        Reliance Vision Fund (G)    2,415.31   07/09/95      11.58   ED


    5.        Reliance Growth Fund (G)    3,243.92   08/09/95      10.5    ED


    6.        Reliance Equity Fund (G)    4,455.25   07/03/06      0.58    ED




                                Reliance Mutual Fund




                                 HDFC Mutual Fund
S. No    Scheme Name                      Fund       Date       of Age of the Fund
                                          Size       inception     fund      class
   1.    HDFC Growth Fund (G)             379.40     11/09/00      6.41      ED



                                BABASAB PATIL
                                          -48-
A study on “Performance Evaluation of Mutual Funds with
   Reference to risk and return”

    2. HDFC Core & Satellite Fund           646.03     10/09/04     1.41        ED
       (G)
    3. HDFC Top 200 Fund G)            1,621.10 19/08/96 10.5              ED
S. No SchemeEquity Fund (G)
    4. HDFC Name                       3,907.14 08/12/94 of Age
                                        Fund        Date      12.5       ofEDFund
    5. HDFC Premier Multi-Cap (G)      673.81      21/03/05 1.91
                                        Size (crs.) inception    the fund
                                                                           ED
                                                                             class
    1. Franklin India Opportunity. (G)  687.15      19/02/2000 7             ED
    6. HDFC Capital Builder Fund (G) 657.84        16/12/93 13.16          ED
    2. Franklin India Growth Fund            25.06      07/02/2000 7              ED
    7. HDFC Long Term Equity Fund           1,478.01   27/01/06 1.08            ED
       (G)
    3. Franklin India Prima Plus (G)        878.70      28/09/94      12.41      ED

    4.   Franklin India Blue chip (G)       2575.97     30/11/1993 13.25         ED

    5.   Franklin (I) Flexi Cap (G)         3,364.79    09/02/05      2          ED

    6.   Franklin (I) Smaller Co's (G)      1,211.47    14/12/05      1.16       ED

    7.   Templeton (I) Equity Income(G)     1,749.86    20/04/06      0.83       ED




                           Franklin Templeton Mutual Funds




                                       Birla Mutual Fund


S. No    Scheme Name                        Fund       Date       of Age      of Fund
                                            Size       inception     the fund    class
   1.                                       396.18     08/09/2006    0.42        ED
         Birla Long Term Adv. Fund (G)

   2.    Birla Infrastructure Fund (G)      474.08     24/02/2006    1           ED


   3.    Birla India GenNext Fund (G)       159.40     12/07/2005    1.58        ED


   4.    Birla India Opportunities (G)      83.17      25/08/2003    3.5         ED


   5.    Birla Advantage Fund (G)           475.06     24/02/95      12          ED




                                      BABASAB PATIL
                                            -49-
A study on “Performance Evaluation of Mutual Funds with
   Reference to risk and return”

   6.   Birla Midcap Fund (G)               228.43    01/10/02       4.33       ED

   7.   Birla Top 100 Fund (G)              440.00    28/09/05       1.42       ED


   8.   Birla Equity Fund (G)               506.37    08/27/98       7.77       ED

   9.   Birla Frontline Equity (G)          124.74    30/08/2002     4.5        ED

  v.    Birla Dividend Yield Plus (G)       415.89    02/07/03       3.32




                                        LIC Mutual Fund

S. No   Scheme Name                          Fund      Date      of Age of the Fund
                                             Size      inception    fund        class
   1.                                        99.28     10/08/94     12.5        ED
        1. LIC MF Growth Fund

   2.                                        82.93     11/01/93     14.08       ED
        2. LIC MF Equity Fund (G)




                                      SBI Mutual Fund


S. No   Scheme Name                          Fund     Date        of Age     of Fund
                                             Size     inception      the fund   class
   1.   Magnum Global Fund (G)               954.15   22/09/199      12.42      ED
                                                      4
   2.   Magnum Midcap Fund (G)               427.81   17/03/05       1.91       ED

   3.   Magnum Contra Fund (G)               1,448.78 31/07/99       7.57       ED

   4.   SBI Magnum Equity Fund (D)           265.98    1/01/1991     16.03      ED

   5.   Magnum Comma Fund (G                 457.58   25/07/05       1.58       ED

   6.   Magnum Multiplier Plus (G)           745.07   01/03/93       13.91      ED

   7.   Magnum Multicap Fund (G)             1,079.18 16/09/05       1.41       ED


                                     BABASAB PATIL
                                            -50-
A study on “Performance Evaluation of Mutual Funds with
   Reference to risk and return”

   8.   Magnum Emerging Businesses        267.94      17/09/04      2.41      ED
        (G)
   9.   Magnum NRI Fund - FA Plan (G)     13.64       13/01/04      3.08      ED

   10 SBI Arbitrage Oppor. Fund (G)       214.38      15/09/06      0.41
   .
   11 SBI Blue Chip Fund (G)              1,936.34 20/01/06         1.08
   .




                          DSP Merrill Lynch Mutual Fund

S. No   Scheme Name                        Fund       Date       of Age of the Fund
                                           Size       inception     fund      class
   1.   DSP-ML Small & MidCap- Inst        54.59      29/09/06      0.41      ED
        (G)
   2.   DSP-ML Small & Mid Cap Fund        1,389.79   29/09/06      0.41      ED
        (G)

   3.   DSP-ML Opportunities (G)           1,356.20   18/04/00      6.83      ED

   4.   DSP-ML Equity Fund                 695.41     07/04/97      9.83      ED

   5.   DSP-ML Top 100 Equity (G)          299.47     21/02/03      4         ED

   6.   DSP-ML India T.I.G.E.R. (G)        1,481.34   25/05/04      2.75      ED




                                   Kotak Mutual Fund


S. No   Scheme Name                        Fund       Date       of Age of the Fund


                                 BABASAB PATIL
                                         -51-
A study on “Performance Evaluation of Mutual Funds with
   Reference to risk and return”

                                           Size      inception   fund     class
   1.   Kotak Lifestyle Fund (G)           384.15    22/02/06    1        ED

   2.   Kotak 30 (G)                       432.01    22/12/98    8.16     ED

   3.   Kotak Opportunities Fund (G)       224.26    25/08/04    2.5      ED

   4.   Kotak Global India Scheme (G)      111.85    16/01/04    3.08     ED

   5.   Kotak Contra (G)                   143.59    01/07/05    1.58     ED




                           Standard Chartered Mutual Fund


S. No   Scheme Name                        Fund      Date    of Age of the Fund
                                           Size      inception   fund     class
   1.   StanChart Imperial Equity (G)      251.16    21/02/06    1        ED

   2.   StanChart Classic Equity (G)       372.11    14/07/05    3.16     ED

   3.   StanChart Premier Equity (G)       161.21    26/09/05    2.83     ED




                                   BABASAB PATIL
                                         -52-
A study on “Performance Evaluation of Mutual Funds with
       Reference to risk and return”




                                          Tata Mutual Fund




S. No     Scheme Name                     Fund Size       Date        of Age of the Fund
                                                          inception      fund      class
   1.     Tata Infrastructure Fund (G)    1,187.91        22/12/04       2.16      ED

   2.     Tata Select Equity Fund (G)     106.38          24/05/96       10.75     ED

   3.     Tata Pure Equity Fund (G)       292.23          07/05/98       8.75      ED

   4.     Tata Equity Opp. Fund (G)       440.12          30/03/93       13.96     ED

   5.     Tata Service Industries (G)     181.46          10/05/05       1.75      ED

   6.     Tata Equity P/E Fund (G)        84.53           15/06/04       2.66      ED

   7.     Tata Growth Fund (G)            33.29           15/06/94       12.66     ED

   8.     Tata Mid Cap Fund (G)           154.51          15/06/05       1.66      ED

   9.     Tata Dividend Yield Fund (G)    146.18          27/10/04       2.33      ED

   10 Tata Contra Fund (G)                201.42          25/10/05       1.33      ED
   .




                                         BABASAB PATIL
                                                   -53-
A study on “Performance Evaluation of Mutual Funds with
   Reference to risk and return”

                                 Principal Mutual Fund


S. No   Scheme Name                   Fund           Date     of Age       of Fund
                                      Size           inception     the fund      class
   1.   Principal Large Cap Fund      251.90         19/10/05      1.33          ED
        (G)
   2.   Principal Resurgent IEF       260.89         30/06/00      6.66          ED
        (G)
   3.   Principal Growth Fund         260.03         25/10/00      6.33          ED
        (G)
   4.   Principal Junior Cap Fund     71.00          08/06/05      1.66          ED
        (G)
   5.   Principal Focussed Adv.       60.31          22/02/05      2             ED
        (G)
   6.   Principal Global Oppor        436.71         19/03/04      2.91          ED
        (G)
   7.   Principal Infra & Serv Ind    266.92         07/02/06      1             ED
        (G)
   8.   Principal Dividend Yield      139.01         22/09/04      2.41          ED
        (G)




                                     HSBC Mutual Fund




S. No   Scheme Name                            Fund         Date       of Age of the Fund
                                               Size         inception     fund           class
   1.   HSBC India Opportunities (G)           607.88       13/02/04      3              ED

   2.   HSBC Equity Fund (G)                   936.53       03/12/02      4.16           ED

   3.   HSBC Midcap Equity Fund (G)            311.51       03/05/05      1.75           ED

   4.   HSBC Advantage India Fund (G           1,216.90     27/01/06      1.08           ED


                                        4 Step:

                                 Absolute returns:

                                     BABASAB PATIL
                                              -54-
A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

          The selected funds returns from date of launch to date of
                                           inception

                                      DOI
Scheme Name                                       1yr      2yr      3yr       4yr
                                      NAV
                                      ()
   1.  UTI Master Plus 91(G)          62.79         13.8     98.8     120.5    309.2
   2.  UTI Mastershare (G)            33.08          7.8     66.8     110.4 --
   3.  UTI Equity Fund (G)            30.86         -2.2     64.9     121.3    313.5
   4.  UTI Master Value Fund (G)      27.23         -5.4     44.2      90.5    389.1
   5.  Pru ICICI Dynamic Plan         63.59         23.4    143.4     258.5       --
       (G)
   6. Pru ICICI Growth (G)            89.80         14.5    105.9     160.5     354.2
   7. Pru ICICI Power (G)             78.11         15.6    116.6     191.0     559.2
   8. Reliance Vision Fund (G)        171.46        13.7    100.3     185.8     795.4
   9. Reliance Growth Fund (G)        259.81        17.1    124.8     267.3     982.5
   10. HDFC Top 200 Fund G)           105.32        12.3    104.4     178.8     553.7
   11. HDFC Equity Fund (G)           144.18        15.3    119.8     197.9     554.2
   12. HDFC Capital Builder Fund      59.74          2.5     69.4     184.2     444.6
       (G)
   13. Franklin India Opportunity.    24.20         16.9    124.5     193.0     376.4
       (G)
   14. Franklin India Prima Plus      133.87        21.5    116.1     170.3     469.2
       (G)
   15. Franklin India Blue chip (G)   124.12        13.2     99.3     144.9     449.7
   16. Birla Advantage Fund (G)       120.87        10.3     91.0     155.9     368.9
   17. Birla Dividend Yield Plus      40.07         -2.6     45.0      98.7        --
       (G)

   18. Magnum Global Fund (G)         41.40         17.3    148.9     380.9     770.8
   19. Magnum Contra Fund (G)         35.71         15.1    133.6     334.2     790.3
   20. Magnum Multiplier Plus         50.92         11.2    139.8     260.9     544.9
       (G)

   21. DSP-ML Opportunities (G)       52.64         11.9    102.8     178.5     562.9
   22. DSP-ML Equity Fund             37.47         16.0    112.3     205.2     541.5
   23. Kotak 30 (G)                   65.64         12.1    106.9     176.2     471.0
   24. Tata Equity Opp. Fund (G)      55.55          5.8    101.0     180.1
   25. HSBC India Opportunities       27.13         21.6    109.7     198.8            --
       (G)
   26. HSBC Equity Fund (G)           68.72         16.7     91.1     164.3            --


        By observing the absolute returns of the schemes we find that Reliance

Growth Fund (G) is the one which is giving the good returns from the date of launch.


                               BABASAB PATIL
                                           -55-
A study on “Performance Evaluation of Mutual Funds with
 Reference to risk and return”




       5th STEP:
                                    METHODOLOGY
         Returns

Scheme Names                          DOI         Annualized returns (%)      4 yrs
                                      NAV                                     Avg Rtn
                                      (28/02/07
                                      )
                                                  1 yr   2yr    3yr    4yr
  1.   UTI Master Plus 91(G)              62.79   13.8   41.0   30.2   32.6     29.4
  2.   UTI Mastershare (G)                33.08    7.8   29.2   28.1    --      21.7
  3.   UTI Equity Fund (G)                30.86   -2.2   28.4   30.3   32.8    22.33
  4.   UTI Master Value Fund (G)          27.23   -5.4   20.1   24.0   37.4    19.03
  5.   Pru ICICI Dynamic Plan (G)         62.25   52.5   57.2   41.8   52.5      51
  6.   Pru ICICI Growth (G)               89.80   14.5   43.5   37.6   35.3    32.73
  7. Pru ICICI Power (G)                  78.11   15.6   47.2   42.8   45.8    37.85


                                    BABASAB PATIL
                                           -56-
A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

8.    Reliance Vision Fund (G)                 171.46     13.7     41.5   41.9     55.0     38.03
9.    Reliance Growth Fund (G)                 259.81     17.1     49.9   54.3     61.0     45.58
10.   HDFC Top 200 Fund G)                     105.32     12.3     43.0   40.7     45.6      35.4
11.   HDFC Equity Fund (G)                     144.18     15.3     48.3   43.9     45.6     38.28
12.   HDFC Capital Builder Fund (G)             59.74      2.5     30.2   41.6     40.3     28.65
13.   Franklin India Opportunity. (G)           24.20     16.9     49.8   43.1     36.6      36.6
14.   Franklin India Prima Plus (G)            133.87     21.5     47.0   39.3     41.6     37.35
15. Franklin India Blue chip (G)               124.12     13.2     41.2   34.8     40.6     32.45
16.   Birla Advantage Fund (G)                 120.87     10.3     38.2   36.8     36.2     30.38
17.   Birla Dividend Yield Plus (G)             40.07     -2.6     20.4   25.7      --       14.5
18.   Birla Equity Fund(G)                     175.05     16.4     49.1   50.0     46.1      40.4
19.   Magnum Global Fund (G)                    41.40     17.3     57.8   68.8     54.2     49.53
20.   Magnum Contra Fund (G)                    35.71     15.1     52.8   63.1     54.8     46.45
21.   Magnum Multiplier Plus (G)                50.92     11.2     54.9   53.4     45.2     41.18
22.   DSP-ML Opportunities (G)                  52.64     11.9     42.4   40.7     46.0     35.25
23.   DSP-ML Equity Fund                        37.47     16.0     45.7   45.1     45.0     37.95
24.   Kotak 30 (G)                              65.64     12.1     43.8   40.3     41.7     34.48
25.   Tata Equity Opp. Fund (G)                 55.55      5.8     41.8   41.0      --      29.53
26.   HSBC India Opportunities (G)              27.13     21.6     44.8   44.0      --       36.8
27.   HSBC Equity Fund (G)                      68.72     16.7     38.2   38.3      --      31.07




                                              Market Return


      Market Return                   1 yr         2yr           3yr        4yr       Avg rtrn
         Sensex                       22.60       43.50          35.00     30.80          32.98




                                        BABASAB PATIL
                                                 -57-
A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”




    Risk

     Standard Deviation:




                              BABASAB PATIL
                                      -58-
A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”
  Scheme Names                     DOI     Annualized Returns (%) 4        yr (SD)
                                   NAV                                  Avg
                                           1 yr 2 yr     3 yr 4 yr
     1. UTI Master Plus            62.79   13.8   41.0    30.2   32.6   29.4    11.38
        91(G)
     2. UTI Mastershare            33.08   7.8    29.2    28.1    --    21.7    12.05
        (G)
     3. UTI Equity Fund            30.86   -2.2   28.4    30.3   32.8   22.33   16.45
        (G)
     4. UTI Master Value           27.23   -5.4   20.1    24.0   37.4   19.03   17.89
        Fund (G)
     5.   Pru ICICI Dynamic Plan   62.25   52.5   57.2    41.8   52.5    51     6.52
          (G)
     6.   Pru ICICI Growth (G)     89.80   14.5   43.5    37.6   35.3   32.73   12.63
     7. Pru     ICICI    Power     78.11   15.6   47.2    42.8   45.8   37.85   14.95
        (G)
     8.   Reliance Vision Fund     171.4   13.7   41.5    41.9   55.0   38.03   17.39
          (G)
                                     6
     9.   Reliance Growth Fund     259.8   17.1   49.9    54.3   61.0   45.58   19.52
          (G)
                                     1
     10. HDFC Top 200 Fund G)      105.3   12.3   43.0    40.7   45.6   35.4    15.53
                                     2
     11. HDFC Equity Fund (G)      144.1   15.3   48.3    43.9   45.6   38.28   15.42
                                     8
     12. HDFC Capital Builder      59.74   2.5    30.2    41.6   40.3   28.65   18.16
         Fund (G)
     13. Franklin India            24.20   16.9   49.8    43.1   36.6   36.6    14.20
         Opportunity. (G)
     14. Franklin India Prima      133.8   21.5   47.0    39.3   41.6   37.35   11.05
         Plus (G)
                                     7
     15. Franklin India Blue       124.1   13.2   41.2    34.8   40.6   32.45   13.15
         chip (G)
                                     2
     16. Birla Advantage Fund      120.8   10.3   38.2    36.8   36.2   30.38   13.41
         (G)
                                     7
     17. Birla Dividend Yield      40.07   -2.6   20.4    25.7    --    14.5    15.04
         Plus (G)
     18. Birla Equity Fund(G)      175.0   16.4   49.1    50.0   46.1   40.4    16.09
                                     5
     19. Magnum Global Fund        41.40   17.3   57.8    68.8   54.2   49.53   22.36
         (G)
     20. Magnum Contra Fund        35.71   15.1   52.8    63.1   54.8   46.45   21.37
         (G)
     21. Magnum Multiplier Plus    50.92   11.2   54.9    53.4   45.2   41.18   20.43
         (G)

     22. DSP-ML Opportunities      52.64   11.9   42.4    40.7   46.0   35.25   15.72
         (G)
     23. DSP-ML Equity Fund        37.47 16.0   45.7      45.1   45.0   37.95   14.64
     24. Kotak 30 (G)              65.64 12.1   43.8      40.3   41.7   34.48   14.99
     25. Tata Equity Opp. Fund     55.55
                                   BABASAB 5.8PATIL
                                                41.8      41.0    --    29.53   20.56
         (G)
                                         -59-
     26. HSBC India                27.13 21.6   44.8      44.0    --    36.8    13.17
         Opportunities (G)
     27. HSBC Equity Fund (G)      68.72   16.7   38.2    38.3    --    31.07   12.44
A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”




             SD =             n ∑X2 – (∑X)2
                                n (n-1)



              It is used to measure the variation in individual returns from the average
        expected returns over a certain period. Standard deviation is used in the
        concept of risk of a portfolio of investments. Higher standard deviation means
        a greater fluctuation in expected return.




          BETA:


S.No Scheme Names                                   4 Years avg
                                                                           Beta
                                                     Returns
   1.       UTI Master Plus 91(G)                      29.4               0.45974
   2.       UTI Mastershare (G)                        21.7                0.5195
   3.       UTI Equity Fund (G)                       22.33               0.51445
   4.       UTI Master Value Fund (G)                 19.03               0.38752
   5.       Pru ICICI Dynamic Plan (G)                  51                0.04588
   6.       Pru ICICI Growth (G)                      32.73               0.50621
   7.       Pru ICICI Power (G)                       37.85               0.53133

                                   BABASAB PATIL
                                           -60-
A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

   8.     Reliance Vision Fund (G)
                                                   38.03
                                                           0.42884
   9.     Reliance Growth Fund (G)                 45.58   0.53642
   1      HDFC Top 200 Fund G)
                                                   35.4    0.50859
   0.
   1      HDFC Equity Fund (G)
                                                   38.28   0.55997
   1.
   1      HDFC Capital Builder Fund (G)
                                                   28.65   0.47609
   2.
   1      Franklin India Opportunity. (G)
                                                   36.6    0.58826
   3.
   1      Franklin India Prima Plus (G)
                                                   37.35   0.43023
   4.
   1      Franklin India Blue chip (G)
                                                   32.45   0.46015
   5.
   1      Birla Advantage Fund (G)
                                                   30.38   0.48017
   6.
   1      Birla Dividend Yield Plus (G)
                                                   14.5    0.57688
   7.
   1      Birla Equity Fund(G)
                                                   40.4    0.57362
   8.
   1      Magnum Global Fund (G)
                                                   49.53   0.74307
   9.
   2      Magnum Contra Fund (G)
                                                   46.45   0.67269
   0.
   2      Magnum Multiplier Plus (G)
                                                   41.18   0.77797
   1.
   2      DSP-ML Opportunities (G)
                                                   35.25   0.50358
   2.
   2      DSP-ML Equity Fund
                                                   37.95   0.50899
   3.
   2      Kotak 30 (G)
                                                   34.48   0.53857
   4.
   2      Tata Equity Opp. Fund (G)                29.53   0.87693


                                  BABASAB PATIL
                                            -61-
A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”



   2       HSBC India Opportunities (G)
                                                      36.8                 0.56432
   6.
   2       HSBC Equity Fund (G)
                                                      31.07                0.52537
   7.




        ß = Covar / σm2

        Where, Covariance (covar) is the average of the products of deviations for
 each data point pair. And, covar is calculated as:


        Covar = 1/n Σ(xi –µ x)(yi - µy)


        σm2 = Market Variance

   Beta describes the relationship between the stock’s return and the index returns. it
   describes the risk in the portfolio with comparing market risk as 1 .

   If beta =1

   One percent changes in market index return causes exactly one percent change in
   the stock returns. it indicates that the stock moves in tandem with the market .

   If Beta <1

   Then the stock is less volatile compared to the market.

   If Beta >1

Then the stock is more volatile compared to the market. The stock value

With more then 1 beta value is considered to be risky.

If Beta –ve: native Beta indicates that the stock returns moves in the opposite
direction to the market return.




                                  BABASAB PATIL
                                          -62-
A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

         Returns and risk for the top 10 companies having the highest
                             portfolio returns (Rp).


Scheme Names                       DOI nav          5         yrs SD       Beta
                                                    Avg
                                                    Rtrn
   1. Pru ICICI Dynamic Plan           62.25             51
                                                                   6.52       0.05
       (G)
   2. Magnum Global Fund (G)            41.40           49.53     22.36       0.74
   3. Magnum Contra Fund (G)            35.71           46.45     21.37       0.67
   4. Reliance Growth Fund (G)         259.81           45.58     19.52       0.54
   5. Magnum Multiplier Plus            50.92           41.18
                                                                  20.43       0.78
       (G)
   6. Birla Equity Fund(G)             175.05            40.4     16.09       0.57
   7. HDFC Equity Fund (G)             144.18           38.28     15.42       0.56
   8. Reliance Vision Fund (G)         171.46           38.03     17.39       0.43
   9. DSP-ML Equity Fund                37.47           37.95     14.64       0.51
   10. Pru ICICI Power (G)              78.11           37.85     14.95       0.53




Sharpe’s Index:
       Sharpe’s index measures the risk premium of the portfolio relative to the total
amt of risk in the portfolio. This risk premium is the difference between the




                               BABASAB PATIL
                                        -63-
A study on “Performance Evaluation of Mutual Funds with
Reference to risk and return”

portfolio’s average rate of return and the risk less rate of return. The index assigns the
highest values to assets that have best risk-adjusted average rate of returns.


                                                   4 Yr
                                     DOI NAV       Avg
     Scheme Names                    28/02/07      Rtrn        Rf      Sd(σ)        St
                                                   Rp
   1. Pru ICICI Dynamic Plan           62.25        51                           7.06
                                                                5        6.52
       (G)
   2. Magnum Global Fund (G)           41.40      49.53         5       22.36    1.99
   3. Magnum Contra Fund (G)           35.71      46.45         5       21.37    1.94
   4. Reliance Growth Fund            259.81      45.58                          2.08
                                                                5       19.52
       (G)
   5. Magnum Multiplier Plus           50.92      41.18                          1.77
                                                                5       20.43
       (G)
   6. Birla Equity Fund(G)            175.05       40.4         5       16.09    2.20
   7. HDFC Equity Fund (G)            144.18      38.28         5       15.42    2.16
   8. Reliance Vision Fund (G)        171.46      38.03         5       17.39    1.90
   9. DSP-ML Equity Fund               37.47      37.95         5       14.64    2.25
   10. Pru ICICI Power (G)             78.11      37.85         5       14.95    2.20




               Rp - Rf
     St =        Sd(σ)

     Where,
          Rp     = Average portfolio returns
         Rf      = Risk free rate of rate (5%)
         Sd(σ) =     Standard Deviation (Risk) of returns




         Treynor’s Index:
                 Treynor’s index sums up the risk and return of the portfolio in a

         single number, while categorizing the performance of the portfolio.




                                 BABASAB PATIL
                                          -64-
Performance evaluation risk and return of  mutual funds  @ uti secureties project report mba finance
Performance evaluation risk and return of  mutual funds  @ uti secureties project report mba finance
Performance evaluation risk and return of  mutual funds  @ uti secureties project report mba finance
Performance evaluation risk and return of  mutual funds  @ uti secureties project report mba finance
Performance evaluation risk and return of  mutual funds  @ uti secureties project report mba finance
Performance evaluation risk and return of  mutual funds  @ uti secureties project report mba finance
Performance evaluation risk and return of  mutual funds  @ uti secureties project report mba finance
Performance evaluation risk and return of  mutual funds  @ uti secureties project report mba finance
Performance evaluation risk and return of  mutual funds  @ uti secureties project report mba finance
Performance evaluation risk and return of  mutual funds  @ uti secureties project report mba finance
Performance evaluation risk and return of  mutual funds  @ uti secureties project report mba finance
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Performance evaluation risk and return of  mutual funds  @ uti secureties project report mba finance

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Performance evaluation risk and return of mutual funds @ uti secureties project report mba finance

  • 1. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” CONTENTS - Executive Summary - Introduction - Literature review - Purpose of the study - Objectives BABASAB PATIL -1-
  • 2. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” EXECUTIVE SUMMARY UTI securities ltd. (UTISEL) has been working as an independent professional entity for providing financial intermediary and advisory services to corporate institutional and retail clientele. This project emphasis on, “The Performance of Mutual Funds with reference to Risk and Returns”, conducted at UTI Securities Ltd. In this project I have analyzed the Mutual Funds Schemes, particularly the Equity Diversified open ended (growth) schemes and evaluated the returns and the risk associated with those schemes. OBJECTIVES OF THE STUDY  To know the performance of Mutual Fund of different companies.  To evaluate the returns and the risk associated with mutual funds.  To evaluate the investment performance of mutual funds with risk adjustment, by using the theoretical parameters as suggested by William. Sharpe, Treynor and Jensen. BABASAB PATIL -2-
  • 3. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” LIMITATIONS: Not single work is an exception to the limitations every work has got its limitations. The data collection here in this project is strictly confined to the secondary sources. No primary data was associated with the project. Collecting historical NAV is very difficult. Selection of the schemes for the study is also a very difficult task because of the wide variety of schemes. The results of the study are subjected to inconsistencies arising out of the assumptions made to make the portfolios comparable viz., sample selection procedure, portfolio proportion assumption etc. RESEARCH METHODOLOGY: Data source: Secondary data - Reports from UTI securities and other reports from related websites. BABASAB PATIL -3-
  • 4. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Introduction An investment means employment of funds on assets (i.e. securities or mutual funds or any of the investment avenues) with the aim of earning income as well as capital appreciation. There are mainly two attributes while investing to any of the funds i.e. time and risk. There are mainly four objectives, which the investments activities will carry on. Those are:  Return from the investment  Risk involved  Liquidity  Hedge against inflation  Safety  Convenience There are many alternatives investment avenues which are open to the investors to suit their needs and nature .The selection of investment alternatives depends up on the required level of return and the risk tolerance level. These alternatives range from financial securities to traditional non-securities investment. Following are the various investment alternatives. Negotiable and fixed income securities  Equity shares  Preference share  Debentures  Bonds  Indira vikas patra &Kisan Vikas patra  Government securities  Money market securities (i.e. treasury bill, commercial paper, certificate of Deposit etc) Non-negotiable securities BABASAB PATIL -4-
  • 5. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return”  Bank deposit  Post office deposit  NBFC deposit  Tax saving schemes  Public provident fund scheme  National saving scheme  Life insurance  Mutual funds  Real estate BABASAB PATIL -5-
  • 6. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” LITERATURE REVIEW Introduction to Mutual Funds What is a Mutual Fund? Like most developed and developing countries the mutual fund cult has been catching on in India. There are various reasons for this. Mutual funds make it easy and less costly for investors to satisfy their need for capital growth, income and/or income preservation. And in addition to this a mutual fund brings the benefits of diversification and money management to the individual investor, providing an opportunity for financial success that was once available only to a select few. Understanding Mutual funds is easy as it's such a simple concept: a mutual fund is a company that pools the money of many investors -- its shareholders -- to invest in a variety of different securities. Investments may be in stocks, bonds, money market securities or some combination of these. Those securities are professionally managed on behalf of the shareholders, and each investor holds a pro rata share of the portfolio -- entitled to any profits when the securities are sold, but subject to any losses in value as well. For the individual investor, mutual funds provide the benefit of having someone else manage your investments and diversify your money over many different securities that may not be available or affordable to you otherwise. Today, minimum investment requirements on many funds are low enough that even the smallest investor can get BABASAB PATIL -6-
  • 7. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” started in mutual funds. A mutual fund, by its very nature, is diversified that is, its assets are invested in many different securities. Beyond that, there are many different types of mutual funds with different objectives and levels of growth potential, furthering your chances to diversify. Evolution: In most of the countries, mutual funds have emerged as strong rivals to banking industry in mobilizing savings funds. The reason that may attributed to same is that in the banking sector there are many restrictions for investment in the capital market, there as the mutual funds have been a free access to these markets which in other words have given then an upper hand in the matter of operations. Consequently, the returns from mutual funds investment are higher compared to the returns out of savings in banks in an ideal market condition. Thus, he mutual funds i8ndusty has witnessed a tremendous growth in countries like Mexico and South Africa. Mutual Funds can be broadly classified under 3 heads namely BABASAB PATIL -7-
  • 8. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” a) Investment Trust b) Holding companies c) Finance Companies Out of the above the investment trust got a boost because of good public response and today we have in India Unit Trust of India that was constituted on similar lines with the unit trust in the U.S.A. The unit trusts are open-ended schemes where the investor can buy and sell ‘Unit’ at his only will and wish. The other advantage of unit Trust is that even a small investor can hold shares of many companies and enjoy the returns arising lot of the investment. The unit trust of India was constituted under the unit Trust of India act, 1963 and became operational in the year 1964 with the basic objectives of mobilizing savings through the sale of units and investing them in corporate securities with the idea of maximizing yield from them and capital appreciation with inbuilt liquidity. The unit trust of India still commands a good position among mutual fund in India and approximately 90% of the investments in mutual fund are in the schemes floated by unit trust of India. The unit trust of India has many highlights in its performance so far. The monopoly of unit trust of India was brought to an end with the entry of public sector mutual funds in the year 1987. Canara bank, State Bank of India, Punjab National Bank and Indian bank floated the premier mutual funds that came into being during 1987. DEFINITIONS: BABASAB PATIL -8-
  • 9. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” The reason for increased response towards mutual funds world over is on account of investment analyst, who takes investment decisions based on research. The concept of the lower risk carried on by the investor as the funds are diverted with professional body of investment analyst, who take investment decisions based on research. The concept of mutual fund has been defined in various ways. According to SEBI (Mutual Fund) regulatins1993, “Mutual fund means a fund established in the form of trust by sponsor to raise moneys by the trustees through the sale of units to the public under one or more schemes for investing in securities in accordance with these regulations”. However in the Indian context it is safe to define “Mutual Fund as trusts accepting savings from the investors and invest the same as per the objectives incorporated in the trust deed to manage diversified portfolio which in turn assure reasonable returns to the investors.” Why invest in Mutual Funds. Investing in mutual has various benefits which makes it an ideal investment avenue. Following are some of the primary benefits. Professional investment management One of the primary benefits of mutual funds is that an investor has access to professional management. A good investment manager is certainly worth the fees you will pay. Good mutual fund managers with an excellent research team can do a better job of monitoring the companies they have chosen to invest in than you can, unless you have time to spend on researching the companies you select for your portfolio. That is because Mutual funds hire full-time, high-level investment professionals. Funds can afford to do so as they manage large pools of money. The managers have real-time access to crucial market information and are able to execute trades on the largest and most cost-effective scale. When you buy a mutual fund, the primary asset you are buying is the manager, who will be controlling which assets are chosen to meet the funds' stated investment objectives. Diversification BABASAB PATIL -9-
  • 10. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” A crucial element in investing is asset allocation. It plays a very big part in the success of any portfolio. However, small investors do not have enough money to properly allocate their assets. By pooling your funds with others, you can quickly benefit from greater diversification. Mutual funds invest in a broad range of securities. This limits investment risk by reducing the effect of a possible decline in the value of any one security. Mutual fund unit-holders can benefit from diversification techniques usually available only to investors wealthy enough to buy significant positions in a wide variety of securities. Low Cost A mutual fund let's you participate in a diversified portfolio for as little as Rs.5,000, and sometimes less. And with a no-load fund, you pay little or no sales charges to own them. Convenience and Flexibility Investing in mutual funds has it’s own convenience. While you own just one security rather than many, you still enjoy the benefits of a diversified portfolio and a wide range of services. Fund managers decide what securities to trade, collect the interest payments and see that your dividends on portfolio securities are received and your rights exercised. It also uses the services of a high quality custodian and registrar. Another big advantage is that you can move your funds easily from one fund to another within a mutual fund family. This allows you to easily rebalance your portfolio to respond to significant fund management or economic changes. BABASAB PATIL -10-
  • 11. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Liquidity In open-ended schemes, you can get your money back promptly at net asset value related prices from the mutual fund itself. Transparency Regulations for mutual funds have made the industry very transparent. You can track the investments that have been made on you behalf and the specific investments made by the mutual fund scheme to see where your money is going. In addition to this, you get regular information on the value of your investment. Variety There is no shortage of variety when investing in mutual funds. You can find a mutual fund that matches just about any investing strategy you select. There are funds that focus on blue-chip stocks, technology stocks, bonds or a mix of stocks and bonds. The greatest challenge can be sorting through the variety and picking the best for you. Mutual fund route offers several important advantages.  The popular saying, “don’t keep all the egg in one basket” is quite appropriate in the case of instruments, if an investor wishes to maximize his returns, he should invest in a variety of securities available across the market. However, a small investor with his limited savings can not acquire a number of securities of different companies and industries. Thus, the investor gets a proportion of the average market. This specific character of mutual fund investment avenues further, the modern portfolio they states that, diversification reduces the risk and improves the scope for higher returns.  Professionals who have knowledge and experience in security analysis and portfolio management manage the corpus amount mobilized by the mutual funds under various schemes. Research is continuous process in mutual funds, where they identify the under valued and high yielding securities and make will-timed purchases and sales. An investor of a mutual fund schemes may gain out its professional management. The BABASAB PATIL -11-
  • 12. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” investor can save his cost and time in identifying the securities; he can share the benefits of reach and management costs of the funds with other investor.  Mutual funds are floating different schemes with variety investment objectives. This creates an opportunity among investors to choose the schemes based on their objective, motivations, and requirements.  In addition to the above advantages, the Indian mutual funds are specifically offering the following benefits to the investors.  In the case of investment in equity shares or debentures, the allotment would be based on lost or proportional. Whereas, almost all the mutual funds promise assure allotment to all investors to the extent of amount subscribed by them. This reduces the investor’s time.  Mutual funds offer certain tax incentives to the investors and additional tax benefits for investing in tax planning schemes. The presence of the Mutual fund institutions in the economy offers certain advantages to the economy-  Mutual funds are the financial intermediaries, which mobilize the savings from surplus units and transfer them to the capital and money market by investing in a variety of financial instruments.  Mutual funs with support of their professional managers, carefully analyses the prospects of new companies and new industries if the prospects are good, subscribe large amounts to he equity and debt capital of newly established companies.  Mutual funds as institutional investors, with their professional expertise in the stock trading. The increased participation of professional rational investment reduces the undesirable speculation in the capital market. BABASAB PATIL -12-
  • 13. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Classification of Mutual Fund Schemes Any mutual fund has an objective of earning income for the investor’s and/ or getting increased value of their investments. To achieve these objectives mutual funds adopt different strategies and accordingly offer different schemes of investments. On this basis the simplest way to categorize schemes would be to group these into Operational classification highlights the two main types of schemes, i.e., open- ended and close-ended which are offered by the mutual funds. Portfolio classification projects the combination of investment instruments and investment avenues available to mutual funds to manage their funds. Any portfolio scheme can be either open ended or close ended A. Operational Classification or on Structural basis: Open Ended Schemes: As the name implies the size of the scheme (Fund) is open – i.e., not specified or pre-determined. Entry to the fund is always open to the investor who can subscribe at any time. Such fund stands ready to buy or sell its securities at any time. It implies that the capitalization of the fund is constantly changing as investors sell or buy their shares. Further, the shares or units are normally not traded on the stock exchange but are repurchased by the fund at announced rates. Open-ended schemes have comparatively better liquidity despite the fact that these are not listed. The reason is that investor can any time approach mutual fund for sale of such units. No intermediaries are required. Moreover, the realizable amount is certain since repurchase is at a price based on declared net asset value (NAV). No minute-to-minute fluctuations in rates haunt the investors. The portfolio mix of such schemes has to be investments, which are actively traded in the market. Otherwise, it will not be possible to calculate NAV. This is the reason that generally open-ended schemes are Equity Based. BABASAB PATIL -13-
  • 14. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Moreover, desiring frequently traded securities, open-ended schemes hardly have in their portfolio shares of comparatively new and smaller companies since these are not generally traded. In such funds, option to reinvest its dividend is also available. Since there is always a possibility of withdrawals, the management of such funds becomes more tedious as managers have to work from crisis to crisis. Crisis may be on two fronts, one is, that unexpected withdrawals require funds to maintain a high level of cash available every time implying thereby idle cash. Fund managers have to face questions like ‘ what to sell’. He could very well have to sell his most liquid assets. Second, by virtue of this situation such funds may fail to grab favorable opportunities. Further, to match quick cash payments, funds cannot have matching realization from their portfolio due to intricacies of the stock market. Thus, success of the open-ended schemes to a great extent depends on the efficiency of the capital market. The holders of the shares in the fund can resell them to issuing Mutual Fund Company at any time They receive in turn the net asset value (NAV) of the shares at the time of resale. Such mutual funds companies place their funds in the secondary securities market. They do not participate in new issue markets to pension funds or life insurance investment companies. Can sell an unlimited number of shares and thus keep going larger. The open end mutual funds by or sell their own share. These companies ell new shares at NAV plus a loading or management fee and redeem scheme at NAV. UTI’S Unit scheme, 1964 and CANCIGO and CANGICT are few examples of such funds. The minimum corpus for and open-ended fund is fifty crores a per SEBI guidelines. (b) Close Ended Schemes: Such schemes have a definite period after which their shares/units can be redeemed. Unlike open-ended funds, these funds have fixed capitalization, i.e., their corpus normally does not change throughout its life period. Close ended fund units trade among the investors in the secondary market since these are to be quoted on the stock exchanges. Their price is determined on the basis of demand and supply in the market. Their liquidity depends on the efficiency and BABASAB PATIL -14-
  • 15. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” understanding of the engage broker. Their price is free to deviate from NAV, i.e., there is every possibility that the market price may be above or below its NAV. If one takes into account the issue expenses, conceptually close ended fund units cannot be traded at a premium or over NAV because the price of a package of investments, i.e., cannot exceed the sum of the prices of the investments constituting the package. Whatever premium exists that may exist only on account of speculative activities. In India as per SEBI (MF) Regulations every mutual fund is free to launch any or both types of schemes. Close– ended mutual funds are different form the open-ended mutual fund. Close-ended and investment company has definite target amount for the funds and can not sell more shares after its initial offering. Its growth in terms of numbers is limited. Its shares are issued like together company’s new issue listed and quoted at stock ex change. That minimum corpus for Close-ended fund is Rs20 crores. Close-ended funds changed funds the secondary market acquisition of corporate securities. There is no necessary relationship between the price of close-ended mutual fund share and its NAV. Its shares may les per the current NAV per share, per more,(at a premium) as per less(at discount). Investor’s doubts about the abilities of the funds management lack of sales effort (brokers earn less commission of close ended schemes then open ended schemes) risk ness of the fund. BABASAB PATIL -15-
  • 16. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” B. Portfolio classification of mutual funds. These are specific mutual funds, which are structured for feeding a particular invests able purpose. The objective of funds provide fixed return for those who design safety Equity (Stock) Funds: Equity Funds are those that invest primarily in stock. The actual portfolio holing, trading style, portfolio turnover, etc, are widely depending on the fund’s investment objectives and manager’s style. Aggressive Growth: These funds are also called capital Appreciation fund. Having an investment objective of maximum capital gains, with minimal or no concern for dividends or income. These funds tend to be some of the most volatile, with share price rise that can be thrilling and drop that can be frightening. Not only do the portfolios holding them be volatile, but many aggressive growth funds magnify the volatility by using borrowed money (leverage) to increase the size of the position held. Some funds in this category growth funds fall into the aggressive growth area. Aggressive growth funds purchase shares of stock in smaller companies, which have a chance to grow at a faster pace than more “mature” companies. Of course, there is also greater risk involved with investing in less established companies. Aggressive growth funds are usually recommended for the investors who seek long- term capital appreciation and will not need access to money for at least ten years. Balanced: Funds invest in a mix of common stock and corporate bonds. The weighting of going piece of the mix depends on the fund manager’s perceptions of where the markets and economy are going. Some preferred stock and convertible securities are commonly allowed, as are cash equivalents such and Treasury Bills, CDs, and commercial paper. BABASAB PATIL -16-
  • 17. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Global: It is Similar to international, but with the option of investing anywhere globally including the U.S. Growth: The goal for these funds is long-term growth of capital. Growth funds own shares of medium to large companies, and could include such familiar “blue chip” names as IBM and GENERAL ELECTRIC. Normally, these established companies will grow at a moderate pace, and will pay regular dividends to owner of its shares. If mutual fund is the owner the fund will collect these dividend and pass them to mutual funds shareholders once are more per year. While capital appreciation is major objective of these type of fund income derived from dividends is secondary objectives investments are typically in long – growth stocks, with a lower portfolio turnover then the aggressive growths funds. Dividends yield tend to be low. Growth and income: Despite the name, fund in this category are typically more interested in growth than income with typical dividend rates on the portfolios in the 1% range. The usual portfolio is Blue Chip stock, with some income enhancing securities like convertible preferred stocks are bonds thrown in to the mix. Index: Unlike traditional stock funds, which are managed actively by a portfolio manager based on analysis of economic and market movements, index funds are passively managed. A passively managed fund buys and holds securities selected to represent its unmanaged target index, such as standard and poor 500 index. Sector: BABASAB PATIL -17-
  • 18. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Concentrates investments on a narrow market sector like Health care, internal stocks, bio technology, and so on. Sector funds tend to be volatile as industry groups fall into and out of favor; portfolios are diversified only within industry group. Real estate funds: Real estate funds are of close-ended type. The funds are named so because primary investment is real estate ventures. Bond funds: Bond funds are objective of safety. Bond funds are liquid prices of funds fluctuates with changing interest rates. C. Geographical Classification of Mutual Funds BABASAB PATIL -18-
  • 19. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” National boundaries provide territorial restrictions on the sale and purchase of mutual funds units or share, as is the case in commodity trade or service in view of the, Mutual funds which operate with in the nation boundaries are different form those which are meant for subscription of foreigners or the countries national living out side its share. The classification is of broadly tow types. 1) Domestic Mutual Funds 2) Offshore Mutual Funds Domestic Mutual Funds Domestic Mutual Funds are the saving schemes, which are open for mobilizing saving of the nationals with in the country. All the Mutual fund schemes in vogue in the country vis-à-vis, UTI, GIC Mutual Fund, LIC Mutual Fund, SBI Mutual fund, CAN Bank Mutual Fund, PNBMF and BOIMF are the domestic schemes. Offshore Mutual Funds The basic objective of opening offshore Mutual fund scheme is to attract foreign capital for investment purposes in the country of the issuing company. Offshore Mutual Funds thus facilitate cross border fund flow, which is a direct route for getting foreign currency without political strings or domination on the issue country. From investment point of view too, offshore Mutual funds open up domestic capital market to the international investor and global portfolio investments. The major point of difference between offshore Mutual funds and Domestic Mutual funds is the currency and country risk for the global investors as the source of funds from am broad because of high risk in a higher return in the invested funds can be expected. Like domestic mutual funds, the offshore BABASAB PATIL -19-
  • 20. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Mutual funds can also be functionally classified into Close-ended or Open- ended funds. The Major Offshore Mutual Funds opened so far have been close-ended schemes providing redemption of the units for individual investors only at the end of the period specified in the scheme. UTIs India funds 1986, India growth fund, SBIs India Magnum, Can Bank’s Indo-Swiss Himalayan fund, 1990 and Common wealth equity fund are all close-ended offshore funds. Characteristics of Mutual Fund Schemes BABASAB PATIL -20-
  • 21. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” The following are mutual fund scheme characteristics of the Indian mutual fund schemes.  Assurance of minimum returns: Mutual funds in general do not assure any minimum returns to their investors. Returns are paid to the investors, commensurate with the returns earned by the fund on the portfolio, as portfolio consists of various securities, whose returns are subject to market risks. Contrary to this, the Indian mutual fund schemes launched during 1987 to 1990 assured specific returns while marketing their schemes. I n 1991, SEBI together with the union ministry of finance ordered the mutual funds not assume minimum returns. Recently, SEBI has formulated of policy that, mutual funds with a track record ;of 5 years will be allowed to offer fixed returns. SEBI shall prescribe the returns to be assured from time to time. However, no fund will be allowed to offer fixed return for more than 1 year.  Multiple Option Most of the mutual fund schemes are offering different option to the investor under one scheme. For example growth oriented scheme may offer option of either regular income plan, dividend shall be distributed to the investor, and under second dividend will be re-invested and the total amount at the time of redemption.  Immediate monthly income.  Deferred monthly income.  Accumulated income and benefits under section 80 1 of the income act.  Growth with capital gain.  Lock in period BABASAB PATIL -21-
  • 22. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Mutual fund schemes offer documents that contain a clause of lock in period ranging from one year to 3 years. Till the completion of the minimum period, the investors are neither allowed to trade the units on the stock exchange nor avail repurchased facility.  Liquidity a) Open-ended mutual funds offer the facility of repurchase, and the close- ended schemes are also offering repurchase after a minimum period of two to three year. b) Mutual funds units can be pledged or mortgaged in favor of commercial banks or financial institutions, and can obtain a loan according to the rules and regulations of the bank or financial institution. c) Mutual fund can be transferred in favors of any individuals. PURPOSE OF THE STUDY BABASAB PATIL -22-
  • 23. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” The purpose of the study is to know the returns and the risk associated with the Mutual Fund’s Equity Diversified schemes and to find out which best scheme to recommend. SCOPE OF THE STUDY  The present study includes 4 years average returns of the mutual funds, which have the total corpus (mass, quantity, amount,) value, of more than 10000 crores.  For my study I have scanned all the mutual funds companies and have taken only those schemes which are having the corpus value of more than 400 crores and age of the fund is more than 3 years.  This study covers only equity diversified schemes which are subject to more fluctuating risks and returns.  Since the number and nature of stocks, the proportion of stocks in the portfolio and the relative ness of portfolio to the index considered, differs, the portfolios are averaged at 0.5 for these factors for variance determination.  To evaluate the performance of the Mutual Fund schemes, Sharpe’s index, Treynor’s index and Jensen’s Alpha measures are applied. OBJECTIVES OF THE STUDY BABASAB PATIL -23-
  • 24. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return”  To know the performance of Mutual Fund of different companies.  To evaluate the returns and the risk associated with mutual funds.  To evaluate the investment performance of mutual funds with risk adjustment, by using the theoretical parameters as suggested by William. Sharpe, Treynor and Jensen. BABASAB PATIL -24-
  • 25. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” CONTENTS - Organization Profile - Date Collection Methods - Measuring Tools BABASAB PATIL -25-
  • 26. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” ORGANIZATION PROFILE UTI SECURITIES LTD., (UTISEL) was incorporated on June 28, 1994 by Unit Trust of India as its 100% subsidiary and on the repealing of the UTI Act, the capital was now held by the Administrator of the Specified Undertaking of Unit Trust of India (ASUUTI), on April 17, 2006 the entire share capital of the company was transferred from SUUTI to Securities Trading Corporation Of India Ltd. [STCI] and its nominees. UTISEL has been working as an independent professional entity for providing financial intermediary and advisory services to corporate institutional and retail clientele. The Company has built up a reputation for transparent and fair execution of transactions, which have been well received and appreciated by its clientele. The staff at UTI Securities strives to maintain the quality of services offered to its clients at the highest degree. The Company has grown from an institutional brokerage house to a full- fledged financial intermediary having nationwide presence in major cities with branches and franchisees to service a wide range of clients. We are committed to gradually enhancing our network in the near future. The Company has also invested in the joint-venture company with Standard Chartered Bank viz. Standard Chartered UTI Securities (P) Ltd. that is engaged in primary dealership and Government securities. The Company has started Commodity Trading through its subsidiary, UTISEC COMMODITIES LIMITED, which provides facility of commodity trading on NCDEX and MCX. Mission and Vision: To emerge as one of the leading providers of stock brokerage, investment banking and related services, at par with the best in the world". Management profile: BABASAB PATIL -26-
  • 27. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Mr. Dipankar Basu: Chairman Mr. Dipankar Basu was appointed as Chairman and Director on the Board of UTI Securities Limited at the Meeting of the Board of Directors held on April 17, 2006. Mr. Basu is the non-executive Chairman of Securities Trading Corporation of India Limited and Rain Calcining Limited. Mr. Basu brings with him long experience and specialized knowledge of financial markets in India. He has been the Chairman of State Bank of India until August 1995. While acting as the Chairman, Mr. Dipankar Basu served as a Member on the Boards of number of SBI subsidiaries including those engaged in investment banking and fund management. He has been a Board member of number of companies engaged in both financial and non-financial businesses. Even after retirement in 1995, Mr. Basu has been actively engaged in wide spectrum of functions including being a member of the Disinvestment Commission set up to advise the Government of India on public sector disinvestments. He has also been a member of the Narsimhan Committee on Banking Sector Reforms. Mr. Gopalakrishnan Narayanan: Director Mr. Gopalakrishnan Narayanan, currently the Managing Director of Securities Trading Corporation of India Limited has been appointed as an Additional Director on the Board of our Company with effect from April 17, 2006. Being qualified as BSc and CAIIB, Mr. Narayanan brings with him more than 36 BABASAB PATIL -27-
  • 28. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” years of experience and knowledge. He joined Bank of India in 1970. Large part of Mr. Narayanan’s career was in International Treasury and Foreign Exchange related areas. He has had two stints of Overseas Assignments at Tokyo and Jersey Branches of Bank of India. Mr. Narayanan has attended number of trainings conducted by in-house training college, Bankers Training College of Reserve Bank of India in Treasury and Forex related areas. He has been a regular guest faculty on Treasury & Forex related subjects in in-house training colleges & Bankers Training College of Reserve Bank of India. Dr. D C Anjaria: Director An MBA in finance from the IIM (A), he has had 20 years of experience with Citibank N.A. in India and overseas. He worked as Chief of Staff with Citicorp Investment Bank in Paris, France. In 1988, Dr. Anjaria joined the Unit Trust of India to establish and head UTI Institute of Capital Markets, a unique specialised training and research institution. Currently he runs an independent consulting operation- International Financial Solutions Pvt. Ltd. to advise clients in areas including corporate strategy, financial risk management and use of derivative products. Shri A Rama Mohan Rao: Managing Director Chartered Accountant by profession, Shri Rao is the Managing Director of the Company since July 2002. He has worked with UTI for a period of 22 years in various functional areas of marketing, accounting, operations, Investments and Fund BABASAB PATIL -28-
  • 29. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Management in different capacities. He worked as Branch Manager at UTI Branches, as Functional Head in International Finance and Investment Department and also as one of the Chief Investment Officers for UTI schemes. He has represented as one of the Indian Delegates at the Asia Oceania Regional Meeting for Investment Managers held at Singapore in 2002. At UTISEL he is responsible for the overall management and performance of the Company. Products and services: You have the right to pursue financial independence ... your way. Usectrade is committed to help you do just that. We deliver State-of-the-art Tools, excellent Customer Care, Affordable Pricing and Innovative Technology so you can follow your own path. Need based solutions, that is, what our Product Bouquet is all about… Equity: At Usectrade, you can place online trades for virtually any stock listed on NSE & BSE. Usectrade offers plenty of powerful ways to place stock orders ... along with the trading tools and services that help you move quickly and conveniently. Ways to trade stock Delivery based Trading: Place delivery based orders for all stocks listed on NSE & BSE Intra-day Trading: Execute Margin Orders upto 3 to 4 times your available funds. The same is available for select group of stocks listed on NSE & BSE. ANST: Sell shares before you receive the same in your demat account. You can avail of this facility 1st and 2nd day after the buy order date. BABASAB PATIL -29-
  • 30. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Derivative: With a Derivative-approved Usec trade account, you can pursue a wide range of Futures & Options trading strategies with speed and ease. We deliver the support, information and structure that quickly lets you spot potential opportunities and act on them fast Mutual Fund: At Usectrade, we offer access to more than 1000 mutual fund schemes from leading fund families. These funds provide broad diversification and cover a range of investment objectives, philosophies, asset classes and risk exposures. Trades may be placed via the Internet, Interactive Voice Response (IVR) phone system or with a broker. IPO: IPO or Initial Public Offer presents excellent opportunities for gaining high returns on your investments in a relatively short period of time. We have made investing in IPOs hassle free. All that is required is “Buying POWER” and rest is at the click of a button. No paperwork no queues. Get information on IPO news, Forthcoming IPOs and a lot more on Usectrade.com Commodities: Metals, energies, grains and livestock — whatever you wish to trade, you'll find it on our commodity trading system. Plus, you'll get a comprehensive suite of educational, analytical, and execution tools that makes trading commodities easy. Insurance: Usectrade in association with Birla Sunlife brings you a secure insurance option without the hassles and worries of a conservative insurance plan. With least BABASAB PATIL -30-
  • 31. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” paperwork, you get the dual benefit of a risk cover and savings. What's more, we shall send you regular reminders about your premium payments due. Bonds Fixed income securities can help reduce your risk within an investment portfolio while providing a steady stream of income over time. Currently you can choose to invest online in GOI Bonds. If you are looking to diversify your portfolio, possibly improve your tax efficiency and/or reducing your risk exposure, you may want to consider making fixed income securities part of your personal investment strategy Research: Charting Tools - Get a combined view of stocks, rapid price changes and volume increases with this pre-trade analytic tool. Enables you to do technical market analysis of stocks on price, volume, market cap and P/E for NSE/BSE Benchmark against Domestic as well as International Indices. Sector Watch - You can access sector-wise information to track sectors and individual scrips within the sector, which makes analysis easy for you. Corporate Infohub - We provide you with exhaustive company information, detailed financials and ratios. And we also allow you to evaluate financials across peer companies. Our extensive database covers more than 4000 companies. Newsroom - View live market news from the most reliable sources on equity, debt, politics and general events. You even have access to live news analysis, market commentary and happening stocks. BABASAB PATIL -31-
  • 32. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Customer Service & Other Value Added Services Online Query Resolution - With our "Quick Mail" tool you can resolve all your problems online. Online Ledger - View your Digital Contract Note, summary of your transactions using Online "Bills & Accounts" My Inbox - Maintain records of all Important notifications related to your account SMS Alerts - Set Price based Alerts for Stocks of your choice Dedicated Customer Care Centre & State-of- the-art Phone-2-Trade Desk Interactive Demo - A step-by-step guide to enable you to navigate through the process of Investing Online on our website Usectrade.com Subscription to Mailers - Subscribe to our Inhouse Research Reports covering our entire Product Bouquet Investment Banking and Advisory Services Investment Banking is one of the prime focus areas of the company and we provide value added, customized solutions to our clients. Leveraging on the knowledge, expertise and experience of our professionals, we offer services that range from managing public issues, debt and equity placements, corporate advisory services and financial consultancy to facilitating mergers and acquisitions. BABASAB PATIL -32-
  • 33. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” The Investment Banking Team's business philosophy emphasizes:- • Long-term relationship with clients. • A strong research-based advice. • Innovative solutions and speedy execution. • Ethical and transparent conduct of business. It has always been the endeavor of UTI Securities to bring all the market constituents together in a mutually beneficial relationship. Equity capital Markets The Issue Management group focuses on public issues, open offers and buy back issues. Our proximity to large institutions gives us an added advantage in placing large equity issues. This division is supported by a nationwide network comprising of 12 branches, 15 franchisees and sub-brokers across the country for retail distribution. Within a short span, UTISEL has already been recognized as one of the leading merchant bankers in India. UTI Securities has consistently provided professional guidance and expert services. Over the years, it has developed strong relationships with institutional investors and other market intermediaries, enabling it to structure and successfully place a wide array of Capital Market products that meet the requirements of the issuer, investor and the market. The Equity Capital Markets group offers the following services: • Initial Public Offerings • Rights Issues • Buy-Back • Underwriting • Open Offers • Delisting of Securities BABASAB PATIL -33-
  • 34. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” • Private Equity The Equity Capital Markets group seamlessly draws on the expertise provided by the Equity Research and Equity Sales teams on all the public offerings. We have been associated with a number of issues in different capacities as Lead Managers, Co Managers, Syndicate/Sub-syndicate Members, etc. in the past. We successfully lead managed recently the public issue of Four Soft Ltd., a software products company, with an issue size aggregating Rs. 200 million. We were also involved as a syndicate member in the issue of Indraprastha Gas Ltd. where we procured over 12,000 applications. Our Clients: We are currently lead managing the issues of SMS Pharmaceuticals, a bulk drugs manufacturer; Glenmark Laboratories Ltd. which is in formulations segment; Vivimed Labs Ltd., manufacturer of pharmaceutical ingredients catering to the personal care industry and Crew BOS Products Ltd., a fashion accessories manufacturer. The size of the said issues ranges from Rs. 150 million to Rs. 500 million. We are also Lead Managing Rights Issue of Varun Shipping Company Ltd of Rs.130 -150 Crores. We also pursue Buyback/Delisting offers amongst others. We are aiming at making further inroads by securing mandates of premier companies in the Pharmaceutical, Textiles, Information Technology, Hospitality, Banking and Housing Finance industries amongst others. Private Equity The Private Equity Group arranges equity placement through the off-market BABASAB PATIL -34-
  • 35. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” route using its privileged relationships with various Venture Capital and Strategic & Portfolio Equity investor who operate from within the country as well as from abroad. The Private Equity group assists companies seeking capital infusions in the form of seed capital, venture capital, angel investment, strategic investment, and mezzanine financing from the private equity marketplace. The private equity group identifies start –up, later stage projects for investing in well-managed companies, which are placed to grow rapidly and to take advantage of the favourable economic conditions existing within the space with a clearly defined business model. Private Equity Group has followed the philosophy of being a multi- sector player, as it believes that in the Indian context it ensures an optimum balance of risk and return to its investors. Private Equity Group has demonstrated its industry expertise in different sectors by backing diverse sectors like Pharma, Power, Entertainment, Information Technology etc. The Private Equity division has been successful in arranging pre IPO funding from venture capitalists/Private Equity investors. Recently we have done the placement for Four Soft Ltd. and Glenmark Laboratories Ltd. aggregating Rs. 140 million. Data Collection: Data source: Secondary data - Reports from UTI securities and other reports from related websites. Measuring tools and Techniques: BABASAB PATIL -35-
  • 36. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Techniques of analysis: 1. Return: Return on a typical investment consists of two components. The basic is the periodic cash receipts (or income) on the investment, either in the form of interest or dividends. The second component is the change in the price of the assets-commonly called the capital gain or loss. This element of return is the difference between the purchase price and the price at which the assets can be or is sold; therefore, it can be a gain or a loss. The return has been calculated as under: NAVt – NAVt-1 Portfolio return: Rit =--------------------------------- NAV t-1 Where Rit is the difference between Net Asset Values for two consecutive days dividend by the NAV of the preceding day. M.indt – M.indt-1 Market return: Rmt =-------------------------------- M.indt-1 Where Rmt is the difference between market indices of two consecutive days dividend by the market index for the preceding day 2. Risk : Risk is neither good nor bad. Risk in holding securities is generally associated with the possibility that realized returns will be less than expected returns. The difference between the required rate of returns on mutual fund investment and the BABASAB PATIL -36-
  • 37. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” risk free return is the risk premium. Risk can be measured in terms of Beta & standard deviations.  Standard deviation: It is used to measure the variation in individual returns from the average expected returns over a certain period. Standard deviation is used in the concept of risk of a portfolio of investments. Higher standard deviation means a greater fluctuation in expected return. SD = n ∑X2 – (∑X)2 n (n-1)  Beta : Beta measures the systematic risk and shows how prices of securities respond to the market forces. It is calculated by relating the return on a security with return for the market. By convention, market will have beta 1.0.Mutual fund is said to be volatile, more volatile or less volatile. If beta is grater than 1 the stock is said to be riskier than market. If beta is less than 1, the indication is that stock is less risky in comparison to market. If beta is zero then the risk is the same as that of the market. Negative beta is rare. ß = Covar / (SD)2 Where, Covariance (covar) is the average of the products of deviations for each data point pair. And, covar is calculated as: Covar = 1/n Σ(xi –µ x)(yi - µy) Where, x = scheme returns. y = market returns. BABASAB PATIL -37-
  • 38. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” µ = mean. β = nΣxy - (Σx)( Σy) nΣx2-(Σx) 2 Where, n = number of years X = rolling returns of the BSE index Y = rolling returns of the schemes 3. Sharpe index Sharpe index measures risk premium of a portfolio, relative to the total amount of risk in the portfolio. Sharpe index summarizes the risk and return of a portfolio in a single measure that categorizes the performance of funds on the risk- adjusted basis. The larger the Sharpe’s index the portfolio over performs the market and vise versa. Formula to calculate Sharpe’s measure is: RP - Rf St = BABASAB PATIL -38-
  • 39. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” SD Where, st = Sharpe’s index Rp= portfolio return Rf= Risk free rate of return (5%) SD= Standard Deviation of the port folio 4. Treynor’s Index Treynor’s model is on the concept of the characteristics straight line. The characteristics line has drawn a relationship between the market return and a specific portfolio without taking into consideration any direct adjustment for risk. It is also known as reward to volatility ratio and is defined as: The formula for Treynor’s Index is: Portfolio avg return (Rp) – risk-free rate of interest (Rf) BABASAB PATIL -39-
  • 40. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Treynor index (Tn) = Beta coefficient of portfolio (Bp) Rp -Rf Tn = Bp It measures portfolio risk in terms of beta, which is weighted average of individual security beta. The ratio is investors, for who the fund represents only a fraction of their total assets. The higher the ratio better is the performance. 5. Alpha The size of the alpha exhibits the stock’s unsystematic return and its average return independent of market return. If the fund produces the expected return at the level of risk assumed, the fund would have an alpha equal to zero. A positive alpha indicates that the manager produced return greater than expected for the risk taken. Alpha is calculated by comparing the fund’s actual performance with the risk- adjusted expected return. Where Rp = portfolio return Rf = Risk free rate of return (5%) BABASAB PATIL -40-
  • 41. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Rm = average market return - α =(Rp Rf) - Beta (Rm- Rf) BABASAB PATIL -41-
  • 42. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” CONTENTS - Methodology - Results & Discussion with Charts & Graphs - Conclusion - Bibliography Methodology The following table shows the list of AMC in India & the corpus value of individual AMC in the month of October and November 2006. S.No Mutual Fund AUM AUM Increase/ Change 31/01/2007 31/12/2006 % Decrease 1. LIC Mutual Fund 16480.90 12458.88 4022.02 32.28 2. UTI Mutual Fund 41622.51 37789.97 3832.54 10.14 3. Benchmark Mutual Fund 8951.09 5659.42 3291.67 58.16 4. Reliance Mutual Fund 34636.90 3152.28 3064.62 9.71 5. Kotak Mahindra Mutual Fund 13542.09 10938.29 2603.8 23.80 BABASAB PATIL -42-
  • 43. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” 6. Pru ICICI Mutual Fund 35232.16 32664.03 2568.13 7.86 7. DSP Merrill Lynch Mutual Fund 14277.26 11781.10 2559.16 21.84 8. HDFC Mutual Fund 29555.13 27552.96 2002.17 7.27 9. PRINCIPAL Mutual Fund 11887.17 10050.54 1836.63 18.27 10. Deutsche Mutual Fund 6138.66 5155.57 982.72 19.06 11. Birla Mutual Fund 17474.97 16821.57 653.2 3.88 12. HSBC Mutual Fund 10312.24 9691.28 620.95 6.41 13. JM Mutual Fund 4664.6 4097.05 567.55 13.85 14. SBI Mutual Fund 15961.26 15496.18 465.09 3.00 15. ABN AMRO Mutual Fund 5738.67 5335.14 403.53 7.56 16. Fidelity Mutual Fund 5786.05 5399.96 386.09 7.15 17. Standard Chartered Mutual Fund 12894.13 12541.59 352.54 2.81 18. ING Vysya Mutual Fund 3834.43 35781.17 256.26 7.16 19. DBS Chola Mutual Fund 2145.33 1938.74 206.59 10.66 20. Morgan Stanley Mutual Fund 3026.44 2864.58 161.87 5.65 21. Tata Mutual Fund 12521.86 12472.36 47.51 0.38 22. Sahara Mutual Fund 203.33 160.94 42.39 26.34 23. Sundaram Mutual Fund 6854.99 6818.87 36.12 0.53 24. Escorts Mutual Fund 127.70 123.18 4.52 3.67 25. Quantum Mutual Fund 55.15 51.51 3.65 7.09 26. BOB Mutual Fund 150.21 165.49 -15.28 -9.23 27. Taurus Mutual Fund 258.29 275.92 -17.63 -6.39 28. Franklin Templeton Investments 23832.70 23920.26 -87.57 -.037 29. Canbank Mutual Fund 2304.91 2737.86 -332.85 -12.62 The AMC which have the AUM of more than 10,000Crs 1st STEP: The selection of AMCs for analysis is on the basis of AUM value of individual AMC. From all the AMCs, the fund, which have the AUM of more than 10,000crs only those AMCs are taken for the study. The following table shows the list of AMCs, which have the AUM of more than 10,000Crs in the month of December 2006 and January 2007, & the % change in the values in a month also are shown. BABASAB PATIL -43-
  • 44. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” S. No AMC AUM AUM Absolute %Change 31/01/2007 31/12/2006 change 1. UTI Mutual Fund 41622.51 37789.97 3832.54 10.14 2. Pru ICICI Mutual Fund 35232.16 32664.03 2568.13 7.86 3. Reliance Mutual Fund 34636.90 3152.28 3064.62 9.71 4. HDFC Mutual Fund 29555.13 27552.96 2002.17 7.27 5. Franklin Templeton Investments 23832.70 23920.26 -87.57 -.037 6. Birla Mutual Fund 17474.97 16821.57 653.2 3.88 7. LIC Mutual Fund 16480.90 12458.88 4022.02 32.28 8. SBI Mutual Fund 15961.26 15496.18 465.09 3.00 9. DSP Merrill Lynch Mutual Fund 14277.26 11781.10 2559.16 21.84 10. Kotak Mahindra Mutual Fund 13542.09 10938.29 2603.8 23.80 11. Standard Chartered Mutual Fund 12894.13 12541.59 352.54 2.81 12. Tata Mutual Fund 12521.86 12472.36 47.51 0.38 13. PRINCIPAL Mutual Fund 11887.17 10050.54 1836.63 18.27 14. HSBC Mutual Fund 10312.24 9691.28 620.95 6.41 BABASAB PATIL -44-
  • 45. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” 2nd STEP Equity diversified Schemes: There are varieties of schemes offered by the AMCs. Equity diversified is one of the schemes offered by the AMC. The selection criteria of schemes are totally based on the fund size and age of the fund. The scheme, which has the corpus value of more than 400crs and the age of the fund, is more then 3yrs only those funds are qualified for the analysis. Equity Diversified Fund diversifies their portfolio evenly across stocks and industry sectors. The returns from them tend to be moderately high over a long-term horizon but since the prices of equity shares fluctuate on the stock markets, the net asset value is subject to these fluctuations. These funds suit investors who have moderate risk appetite. In a diversified fund, the risk of down-side is mitigated by the breadth of variety of stocks in the portfolio. Since the portfolio is diversified, the BABASAB PATIL -45-
  • 46. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” under-performance in some stocks or sectors in which the fund has invested is balanced by the superior performance of other stocks or sectors The following are the equity-diversified schemes in the selected funds at the current date.1/02/2007 Tables for fund size and fund age UTI Mutual Fund S. No Scheme Name Fund Size Date of Fund Fund Inception Age Class 1. UTI Master Plus 91(G) 863.52 31/12/1991 15.16 ED 2. UTI Index Select Equity (G) 216.36 12/05/97 9.58 ED 3. UTI Mastergrowth 93 (G) 346.95 18/01/93 14.08 ED 4. UTI Large Cap (G) 25.53 07/04/04 2.83 ED 5. UTI Mastershare (G) 1,828. 19/09/1986 20.33 ED 6. UTI Equity Fund (G) 1,451.73 18/05/92 14.75 ED 7. UTI Growth & Value Fund (G) 151.96 28/10/99 7.33 ED 8. UTI Leadership Equity Fund (G) 1,027.84 30/01/06 1.08 ED 9. UTI Dividend Yield Fund (G) 516.88 03/05/05 1.91 ED 10 UTI India Advantage Equity (G) 55.84 05/02/00 7 ED . 11 UTI Dynamic Fund (G) 128.27 12/09/03 3.41 ED . 12 UTI Master Value Fund (G) 647.68 9.08 ED . 01/06/98 13 UTI Mid Cap (G) 80.70 07/04/04 2.83 ED . 14 UTI Opportunities Fund (G) 497.79 1.58 ED . BABASAB PATIL 20/07/05 15 UTI Contra Fund (G) -46- 640.04 0.91 ED . 22/03/06 16 UTI Wealth Builder Fund (G) 905.02 07/09/06 0.41 ED .
  • 47. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” S. No Scheme Name Fund Date of Age of Fund Size inception the fund class 1. Pru ICICI Infrastructure (G) 1,562.32 1.5 ED 16/08/05 2. Pru ICICI Dynamic Plan (G) 1,533.33 18/10/2002 4.33 ED 3. Pru ICICI Services Indus. (G) 424.02 1.25 ED 18/11/05 4. Pru ICICI Growth (G) 406.88 19/06/98 8.66 ED 5. Pru ICICI Emerging S.T.A.R.(G) 933.66 2.75 ED 05/10/04 6. Pru ICICI Discovery Fund (G) 908.60 2.58 ED 23/07/04 7. Pru ICICI Fusion Fund (G) 634.15 27/02/06 ED (1) 8. Pru ICICI Power (G) 1,025.49 ED 05/10/01(5.33) Prudential ICICI Mutual Fund BABASAB PATIL -47-
  • 48. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” S. No Scheme Name Fund Date of Age of Fund Size inception the class fund 1. Reliance RSF – Equity (G) 160.50 10/05/05 1.75 ED 2. Reliance NRI Equity Fund 121.23 01/11/04 2.25 ED (G) 3. Reliance Equity Opp. Fund 2,214.79 07/03/05 1.58 ED (G) 4. Reliance Vision Fund (G) 2,415.31 07/09/95 11.58 ED 5. Reliance Growth Fund (G) 3,243.92 08/09/95 10.5 ED 6. Reliance Equity Fund (G) 4,455.25 07/03/06 0.58 ED Reliance Mutual Fund HDFC Mutual Fund S. No Scheme Name Fund Date of Age of the Fund Size inception fund class 1. HDFC Growth Fund (G) 379.40 11/09/00 6.41 ED BABASAB PATIL -48-
  • 49. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” 2. HDFC Core & Satellite Fund 646.03 10/09/04 1.41 ED (G) 3. HDFC Top 200 Fund G) 1,621.10 19/08/96 10.5 ED S. No SchemeEquity Fund (G) 4. HDFC Name 3,907.14 08/12/94 of Age Fund Date 12.5 ofEDFund 5. HDFC Premier Multi-Cap (G) 673.81 21/03/05 1.91 Size (crs.) inception the fund ED class 1. Franklin India Opportunity. (G) 687.15 19/02/2000 7 ED 6. HDFC Capital Builder Fund (G) 657.84 16/12/93 13.16 ED 2. Franklin India Growth Fund 25.06 07/02/2000 7 ED 7. HDFC Long Term Equity Fund 1,478.01 27/01/06 1.08 ED (G) 3. Franklin India Prima Plus (G) 878.70 28/09/94 12.41 ED 4. Franklin India Blue chip (G) 2575.97 30/11/1993 13.25 ED 5. Franklin (I) Flexi Cap (G) 3,364.79 09/02/05 2 ED 6. Franklin (I) Smaller Co's (G) 1,211.47 14/12/05 1.16 ED 7. Templeton (I) Equity Income(G) 1,749.86 20/04/06 0.83 ED Franklin Templeton Mutual Funds Birla Mutual Fund S. No Scheme Name Fund Date of Age of Fund Size inception the fund class 1. 396.18 08/09/2006 0.42 ED Birla Long Term Adv. Fund (G) 2. Birla Infrastructure Fund (G) 474.08 24/02/2006 1 ED 3. Birla India GenNext Fund (G) 159.40 12/07/2005 1.58 ED 4. Birla India Opportunities (G) 83.17 25/08/2003 3.5 ED 5. Birla Advantage Fund (G) 475.06 24/02/95 12 ED BABASAB PATIL -49-
  • 50. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” 6. Birla Midcap Fund (G) 228.43 01/10/02 4.33 ED 7. Birla Top 100 Fund (G) 440.00 28/09/05 1.42 ED 8. Birla Equity Fund (G) 506.37 08/27/98 7.77 ED 9. Birla Frontline Equity (G) 124.74 30/08/2002 4.5 ED v. Birla Dividend Yield Plus (G) 415.89 02/07/03 3.32 LIC Mutual Fund S. No Scheme Name Fund Date of Age of the Fund Size inception fund class 1. 99.28 10/08/94 12.5 ED 1. LIC MF Growth Fund 2. 82.93 11/01/93 14.08 ED 2. LIC MF Equity Fund (G) SBI Mutual Fund S. No Scheme Name Fund Date of Age of Fund Size inception the fund class 1. Magnum Global Fund (G) 954.15 22/09/199 12.42 ED 4 2. Magnum Midcap Fund (G) 427.81 17/03/05 1.91 ED 3. Magnum Contra Fund (G) 1,448.78 31/07/99 7.57 ED 4. SBI Magnum Equity Fund (D) 265.98 1/01/1991 16.03 ED 5. Magnum Comma Fund (G 457.58 25/07/05 1.58 ED 6. Magnum Multiplier Plus (G) 745.07 01/03/93 13.91 ED 7. Magnum Multicap Fund (G) 1,079.18 16/09/05 1.41 ED BABASAB PATIL -50-
  • 51. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” 8. Magnum Emerging Businesses 267.94 17/09/04 2.41 ED (G) 9. Magnum NRI Fund - FA Plan (G) 13.64 13/01/04 3.08 ED 10 SBI Arbitrage Oppor. Fund (G) 214.38 15/09/06 0.41 . 11 SBI Blue Chip Fund (G) 1,936.34 20/01/06 1.08 . DSP Merrill Lynch Mutual Fund S. No Scheme Name Fund Date of Age of the Fund Size inception fund class 1. DSP-ML Small & MidCap- Inst 54.59 29/09/06 0.41 ED (G) 2. DSP-ML Small & Mid Cap Fund 1,389.79 29/09/06 0.41 ED (G) 3. DSP-ML Opportunities (G) 1,356.20 18/04/00 6.83 ED 4. DSP-ML Equity Fund 695.41 07/04/97 9.83 ED 5. DSP-ML Top 100 Equity (G) 299.47 21/02/03 4 ED 6. DSP-ML India T.I.G.E.R. (G) 1,481.34 25/05/04 2.75 ED Kotak Mutual Fund S. No Scheme Name Fund Date of Age of the Fund BABASAB PATIL -51-
  • 52. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Size inception fund class 1. Kotak Lifestyle Fund (G) 384.15 22/02/06 1 ED 2. Kotak 30 (G) 432.01 22/12/98 8.16 ED 3. Kotak Opportunities Fund (G) 224.26 25/08/04 2.5 ED 4. Kotak Global India Scheme (G) 111.85 16/01/04 3.08 ED 5. Kotak Contra (G) 143.59 01/07/05 1.58 ED Standard Chartered Mutual Fund S. No Scheme Name Fund Date of Age of the Fund Size inception fund class 1. StanChart Imperial Equity (G) 251.16 21/02/06 1 ED 2. StanChart Classic Equity (G) 372.11 14/07/05 3.16 ED 3. StanChart Premier Equity (G) 161.21 26/09/05 2.83 ED BABASAB PATIL -52-
  • 53. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Tata Mutual Fund S. No Scheme Name Fund Size Date of Age of the Fund inception fund class 1. Tata Infrastructure Fund (G) 1,187.91 22/12/04 2.16 ED 2. Tata Select Equity Fund (G) 106.38 24/05/96 10.75 ED 3. Tata Pure Equity Fund (G) 292.23 07/05/98 8.75 ED 4. Tata Equity Opp. Fund (G) 440.12 30/03/93 13.96 ED 5. Tata Service Industries (G) 181.46 10/05/05 1.75 ED 6. Tata Equity P/E Fund (G) 84.53 15/06/04 2.66 ED 7. Tata Growth Fund (G) 33.29 15/06/94 12.66 ED 8. Tata Mid Cap Fund (G) 154.51 15/06/05 1.66 ED 9. Tata Dividend Yield Fund (G) 146.18 27/10/04 2.33 ED 10 Tata Contra Fund (G) 201.42 25/10/05 1.33 ED . BABASAB PATIL -53-
  • 54. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Principal Mutual Fund S. No Scheme Name Fund Date of Age of Fund Size inception the fund class 1. Principal Large Cap Fund 251.90 19/10/05 1.33 ED (G) 2. Principal Resurgent IEF 260.89 30/06/00 6.66 ED (G) 3. Principal Growth Fund 260.03 25/10/00 6.33 ED (G) 4. Principal Junior Cap Fund 71.00 08/06/05 1.66 ED (G) 5. Principal Focussed Adv. 60.31 22/02/05 2 ED (G) 6. Principal Global Oppor 436.71 19/03/04 2.91 ED (G) 7. Principal Infra & Serv Ind 266.92 07/02/06 1 ED (G) 8. Principal Dividend Yield 139.01 22/09/04 2.41 ED (G) HSBC Mutual Fund S. No Scheme Name Fund Date of Age of the Fund Size inception fund class 1. HSBC India Opportunities (G) 607.88 13/02/04 3 ED 2. HSBC Equity Fund (G) 936.53 03/12/02 4.16 ED 3. HSBC Midcap Equity Fund (G) 311.51 03/05/05 1.75 ED 4. HSBC Advantage India Fund (G 1,216.90 27/01/06 1.08 ED 4 Step: Absolute returns: BABASAB PATIL -54-
  • 55. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” The selected funds returns from date of launch to date of inception DOI Scheme Name 1yr 2yr 3yr 4yr NAV () 1. UTI Master Plus 91(G) 62.79 13.8 98.8 120.5 309.2 2. UTI Mastershare (G) 33.08 7.8 66.8 110.4 -- 3. UTI Equity Fund (G) 30.86 -2.2 64.9 121.3 313.5 4. UTI Master Value Fund (G) 27.23 -5.4 44.2 90.5 389.1 5. Pru ICICI Dynamic Plan 63.59 23.4 143.4 258.5 -- (G) 6. Pru ICICI Growth (G) 89.80 14.5 105.9 160.5 354.2 7. Pru ICICI Power (G) 78.11 15.6 116.6 191.0 559.2 8. Reliance Vision Fund (G) 171.46 13.7 100.3 185.8 795.4 9. Reliance Growth Fund (G) 259.81 17.1 124.8 267.3 982.5 10. HDFC Top 200 Fund G) 105.32 12.3 104.4 178.8 553.7 11. HDFC Equity Fund (G) 144.18 15.3 119.8 197.9 554.2 12. HDFC Capital Builder Fund 59.74 2.5 69.4 184.2 444.6 (G) 13. Franklin India Opportunity. 24.20 16.9 124.5 193.0 376.4 (G) 14. Franklin India Prima Plus 133.87 21.5 116.1 170.3 469.2 (G) 15. Franklin India Blue chip (G) 124.12 13.2 99.3 144.9 449.7 16. Birla Advantage Fund (G) 120.87 10.3 91.0 155.9 368.9 17. Birla Dividend Yield Plus 40.07 -2.6 45.0 98.7 -- (G) 18. Magnum Global Fund (G) 41.40 17.3 148.9 380.9 770.8 19. Magnum Contra Fund (G) 35.71 15.1 133.6 334.2 790.3 20. Magnum Multiplier Plus 50.92 11.2 139.8 260.9 544.9 (G) 21. DSP-ML Opportunities (G) 52.64 11.9 102.8 178.5 562.9 22. DSP-ML Equity Fund 37.47 16.0 112.3 205.2 541.5 23. Kotak 30 (G) 65.64 12.1 106.9 176.2 471.0 24. Tata Equity Opp. Fund (G) 55.55 5.8 101.0 180.1 25. HSBC India Opportunities 27.13 21.6 109.7 198.8 -- (G) 26. HSBC Equity Fund (G) 68.72 16.7 91.1 164.3 -- By observing the absolute returns of the schemes we find that Reliance Growth Fund (G) is the one which is giving the good returns from the date of launch. BABASAB PATIL -55-
  • 56. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” 5th STEP: METHODOLOGY  Returns Scheme Names DOI Annualized returns (%) 4 yrs NAV Avg Rtn (28/02/07 ) 1 yr 2yr 3yr 4yr 1. UTI Master Plus 91(G) 62.79 13.8 41.0 30.2 32.6 29.4 2. UTI Mastershare (G) 33.08 7.8 29.2 28.1 -- 21.7 3. UTI Equity Fund (G) 30.86 -2.2 28.4 30.3 32.8 22.33 4. UTI Master Value Fund (G) 27.23 -5.4 20.1 24.0 37.4 19.03 5. Pru ICICI Dynamic Plan (G) 62.25 52.5 57.2 41.8 52.5 51 6. Pru ICICI Growth (G) 89.80 14.5 43.5 37.6 35.3 32.73 7. Pru ICICI Power (G) 78.11 15.6 47.2 42.8 45.8 37.85 BABASAB PATIL -56-
  • 57. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” 8. Reliance Vision Fund (G) 171.46 13.7 41.5 41.9 55.0 38.03 9. Reliance Growth Fund (G) 259.81 17.1 49.9 54.3 61.0 45.58 10. HDFC Top 200 Fund G) 105.32 12.3 43.0 40.7 45.6 35.4 11. HDFC Equity Fund (G) 144.18 15.3 48.3 43.9 45.6 38.28 12. HDFC Capital Builder Fund (G) 59.74 2.5 30.2 41.6 40.3 28.65 13. Franklin India Opportunity. (G) 24.20 16.9 49.8 43.1 36.6 36.6 14. Franklin India Prima Plus (G) 133.87 21.5 47.0 39.3 41.6 37.35 15. Franklin India Blue chip (G) 124.12 13.2 41.2 34.8 40.6 32.45 16. Birla Advantage Fund (G) 120.87 10.3 38.2 36.8 36.2 30.38 17. Birla Dividend Yield Plus (G) 40.07 -2.6 20.4 25.7 -- 14.5 18. Birla Equity Fund(G) 175.05 16.4 49.1 50.0 46.1 40.4 19. Magnum Global Fund (G) 41.40 17.3 57.8 68.8 54.2 49.53 20. Magnum Contra Fund (G) 35.71 15.1 52.8 63.1 54.8 46.45 21. Magnum Multiplier Plus (G) 50.92 11.2 54.9 53.4 45.2 41.18 22. DSP-ML Opportunities (G) 52.64 11.9 42.4 40.7 46.0 35.25 23. DSP-ML Equity Fund 37.47 16.0 45.7 45.1 45.0 37.95 24. Kotak 30 (G) 65.64 12.1 43.8 40.3 41.7 34.48 25. Tata Equity Opp. Fund (G) 55.55 5.8 41.8 41.0 -- 29.53 26. HSBC India Opportunities (G) 27.13 21.6 44.8 44.0 -- 36.8 27. HSBC Equity Fund (G) 68.72 16.7 38.2 38.3 -- 31.07 Market Return Market Return 1 yr 2yr 3yr 4yr Avg rtrn Sensex 22.60 43.50 35.00 30.80 32.98 BABASAB PATIL -57-
  • 58. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Risk  Standard Deviation: BABASAB PATIL -58-
  • 59. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Scheme Names DOI Annualized Returns (%) 4 yr (SD) NAV Avg 1 yr 2 yr 3 yr 4 yr 1. UTI Master Plus 62.79 13.8 41.0 30.2 32.6 29.4 11.38 91(G) 2. UTI Mastershare 33.08 7.8 29.2 28.1 -- 21.7 12.05 (G) 3. UTI Equity Fund 30.86 -2.2 28.4 30.3 32.8 22.33 16.45 (G) 4. UTI Master Value 27.23 -5.4 20.1 24.0 37.4 19.03 17.89 Fund (G) 5. Pru ICICI Dynamic Plan 62.25 52.5 57.2 41.8 52.5 51 6.52 (G) 6. Pru ICICI Growth (G) 89.80 14.5 43.5 37.6 35.3 32.73 12.63 7. Pru ICICI Power 78.11 15.6 47.2 42.8 45.8 37.85 14.95 (G) 8. Reliance Vision Fund 171.4 13.7 41.5 41.9 55.0 38.03 17.39 (G) 6 9. Reliance Growth Fund 259.8 17.1 49.9 54.3 61.0 45.58 19.52 (G) 1 10. HDFC Top 200 Fund G) 105.3 12.3 43.0 40.7 45.6 35.4 15.53 2 11. HDFC Equity Fund (G) 144.1 15.3 48.3 43.9 45.6 38.28 15.42 8 12. HDFC Capital Builder 59.74 2.5 30.2 41.6 40.3 28.65 18.16 Fund (G) 13. Franklin India 24.20 16.9 49.8 43.1 36.6 36.6 14.20 Opportunity. (G) 14. Franklin India Prima 133.8 21.5 47.0 39.3 41.6 37.35 11.05 Plus (G) 7 15. Franklin India Blue 124.1 13.2 41.2 34.8 40.6 32.45 13.15 chip (G) 2 16. Birla Advantage Fund 120.8 10.3 38.2 36.8 36.2 30.38 13.41 (G) 7 17. Birla Dividend Yield 40.07 -2.6 20.4 25.7 -- 14.5 15.04 Plus (G) 18. Birla Equity Fund(G) 175.0 16.4 49.1 50.0 46.1 40.4 16.09 5 19. Magnum Global Fund 41.40 17.3 57.8 68.8 54.2 49.53 22.36 (G) 20. Magnum Contra Fund 35.71 15.1 52.8 63.1 54.8 46.45 21.37 (G) 21. Magnum Multiplier Plus 50.92 11.2 54.9 53.4 45.2 41.18 20.43 (G) 22. DSP-ML Opportunities 52.64 11.9 42.4 40.7 46.0 35.25 15.72 (G) 23. DSP-ML Equity Fund 37.47 16.0 45.7 45.1 45.0 37.95 14.64 24. Kotak 30 (G) 65.64 12.1 43.8 40.3 41.7 34.48 14.99 25. Tata Equity Opp. Fund 55.55 BABASAB 5.8PATIL 41.8 41.0 -- 29.53 20.56 (G) -59- 26. HSBC India 27.13 21.6 44.8 44.0 -- 36.8 13.17 Opportunities (G) 27. HSBC Equity Fund (G) 68.72 16.7 38.2 38.3 -- 31.07 12.44
  • 60. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” SD = n ∑X2 – (∑X)2 n (n-1) It is used to measure the variation in individual returns from the average expected returns over a certain period. Standard deviation is used in the concept of risk of a portfolio of investments. Higher standard deviation means a greater fluctuation in expected return.  BETA: S.No Scheme Names 4 Years avg Beta Returns 1. UTI Master Plus 91(G) 29.4 0.45974 2. UTI Mastershare (G) 21.7 0.5195 3. UTI Equity Fund (G) 22.33 0.51445 4. UTI Master Value Fund (G) 19.03 0.38752 5. Pru ICICI Dynamic Plan (G) 51 0.04588 6. Pru ICICI Growth (G) 32.73 0.50621 7. Pru ICICI Power (G) 37.85 0.53133 BABASAB PATIL -60-
  • 61. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” 8. Reliance Vision Fund (G) 38.03 0.42884 9. Reliance Growth Fund (G) 45.58 0.53642 1 HDFC Top 200 Fund G) 35.4 0.50859 0. 1 HDFC Equity Fund (G) 38.28 0.55997 1. 1 HDFC Capital Builder Fund (G) 28.65 0.47609 2. 1 Franklin India Opportunity. (G) 36.6 0.58826 3. 1 Franklin India Prima Plus (G) 37.35 0.43023 4. 1 Franklin India Blue chip (G) 32.45 0.46015 5. 1 Birla Advantage Fund (G) 30.38 0.48017 6. 1 Birla Dividend Yield Plus (G) 14.5 0.57688 7. 1 Birla Equity Fund(G) 40.4 0.57362 8. 1 Magnum Global Fund (G) 49.53 0.74307 9. 2 Magnum Contra Fund (G) 46.45 0.67269 0. 2 Magnum Multiplier Plus (G) 41.18 0.77797 1. 2 DSP-ML Opportunities (G) 35.25 0.50358 2. 2 DSP-ML Equity Fund 37.95 0.50899 3. 2 Kotak 30 (G) 34.48 0.53857 4. 2 Tata Equity Opp. Fund (G) 29.53 0.87693 BABASAB PATIL -61-
  • 62. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” 2 HSBC India Opportunities (G) 36.8 0.56432 6. 2 HSBC Equity Fund (G) 31.07 0.52537 7. ß = Covar / σm2 Where, Covariance (covar) is the average of the products of deviations for each data point pair. And, covar is calculated as: Covar = 1/n Σ(xi –µ x)(yi - µy) σm2 = Market Variance Beta describes the relationship between the stock’s return and the index returns. it describes the risk in the portfolio with comparing market risk as 1 . If beta =1 One percent changes in market index return causes exactly one percent change in the stock returns. it indicates that the stock moves in tandem with the market . If Beta <1 Then the stock is less volatile compared to the market. If Beta >1 Then the stock is more volatile compared to the market. The stock value With more then 1 beta value is considered to be risky. If Beta –ve: native Beta indicates that the stock returns moves in the opposite direction to the market return. BABASAB PATIL -62-
  • 63. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” Returns and risk for the top 10 companies having the highest portfolio returns (Rp). Scheme Names DOI nav 5 yrs SD Beta Avg Rtrn 1. Pru ICICI Dynamic Plan 62.25 51 6.52 0.05 (G) 2. Magnum Global Fund (G) 41.40 49.53 22.36 0.74 3. Magnum Contra Fund (G) 35.71 46.45 21.37 0.67 4. Reliance Growth Fund (G) 259.81 45.58 19.52 0.54 5. Magnum Multiplier Plus 50.92 41.18 20.43 0.78 (G) 6. Birla Equity Fund(G) 175.05 40.4 16.09 0.57 7. HDFC Equity Fund (G) 144.18 38.28 15.42 0.56 8. Reliance Vision Fund (G) 171.46 38.03 17.39 0.43 9. DSP-ML Equity Fund 37.47 37.95 14.64 0.51 10. Pru ICICI Power (G) 78.11 37.85 14.95 0.53 Sharpe’s Index: Sharpe’s index measures the risk premium of the portfolio relative to the total amt of risk in the portfolio. This risk premium is the difference between the BABASAB PATIL -63-
  • 64. A study on “Performance Evaluation of Mutual Funds with Reference to risk and return” portfolio’s average rate of return and the risk less rate of return. The index assigns the highest values to assets that have best risk-adjusted average rate of returns. 4 Yr DOI NAV Avg Scheme Names 28/02/07 Rtrn Rf Sd(σ) St Rp 1. Pru ICICI Dynamic Plan 62.25 51 7.06 5 6.52 (G) 2. Magnum Global Fund (G) 41.40 49.53 5 22.36 1.99 3. Magnum Contra Fund (G) 35.71 46.45 5 21.37 1.94 4. Reliance Growth Fund 259.81 45.58 2.08 5 19.52 (G) 5. Magnum Multiplier Plus 50.92 41.18 1.77 5 20.43 (G) 6. Birla Equity Fund(G) 175.05 40.4 5 16.09 2.20 7. HDFC Equity Fund (G) 144.18 38.28 5 15.42 2.16 8. Reliance Vision Fund (G) 171.46 38.03 5 17.39 1.90 9. DSP-ML Equity Fund 37.47 37.95 5 14.64 2.25 10. Pru ICICI Power (G) 78.11 37.85 5 14.95 2.20 Rp - Rf St = Sd(σ) Where, Rp = Average portfolio returns Rf = Risk free rate of rate (5%) Sd(σ) = Standard Deviation (Risk) of returns Treynor’s Index: Treynor’s index sums up the risk and return of the portfolio in a single number, while categorizing the performance of the portfolio. BABASAB PATIL -64-