SlideShare uma empresa Scribd logo
1 de 21
Baixar para ler offline
Factors of Movement of Exchange Rate
 between Chinese Yuan and US Dollar
 and comparison with Indian Scenario

                        Department of Humanities and Social Science

 Under supervision of Dr. S. K. Mathur, Associate Professor of Economics, HSS Department

                                        IIT Kanpur




By Ved Prakash 10790

M. Sc. Integrated Mathematics

IIT Kanpur
Introduction
Chinese economy and currency have influenced international economy for a long time and
China has become the second largest economy in the world. The movements of Chinese
Renminbi (RMB) have affected balance of payment of several major economies on large
scale. The historical movement of RMB from an overvalued currency before 80’s to
undervalue currency after 2005 have made a huge impact on Chinese balance of payment
and Chinese GDP. An overvalued currency allowed Chinese government to provide imported
machinery and equipment to priority industries at a relatively lower domestic currency cost
than otherwise would have been possible. Cheap machinery mixed with high cheap labor
availability led to high production. A devaluation of currency after the reforms of 1979 led
to high exports and China continuously started having a current account surplus and
accumulated large stock of foreign reserves. In fact China currently has the highest reserves
in the world of US Dollar.



But this exchange rate is depended on several variables such as open interest parity, PPP
Theory, Covered interest parity, money supply in domestic and foreign country, and income
in two country, difference between interest rates and difference of prices in the two
countries.



Through this paper I intend to establish following task:

   1. What factors have major significance in deciding the movement of Renminbi-
      Dollar exchange rate and why?
   2. What is the equation that can be used to make prediction for coming years?
   3. How the case of China is different from India?
   4. What should China’s government do to ensure that country’s growth rate doesn’t
      go down?



Various econometric models have been used in the paper and also explained as much
required. Ordinary least square, Generalized Square model and Variance Auto regression
have been used in this paper.
Literature
1. International Economics by Peter B. Kenen
This book discusses the various factors that affect the Exchange rate for any country. There
are several factors but the most important are:

•   Inflation Differential
    As a general rule, a country with a consistently lower inflation rate exhibits a rising
    currency value, as its purchasing power increases relative to other currencies. During
    the last half of the twentieth century, the countries with low inflation included Japan,
    Germany and Switzerland, while the U.S. and Canada achieved low inflation only
    later. Those countries with higher inflation typically see depreciation in their currency
    in relation to the currencies of their trading partners. For this paper I have used
    Inflation differential as
              Inflation Differential = Inflation China (in %) - Inflation US (in %)

    It can also be said that as inflation increases, commodities that you can buy with a given
amount of currency decreases and hence the value of your currency decreases. So with
rising inflation, currency depreciates.

•   Interest Rate Differential
    Interest rate is one major instrument to attract foreign capital to move inside the home
    country. When interest rate in home country are more than interest rate in foreign
    country, then investors make more profit by depositing their money in the country with
    higher returns. So their exist open interest parity,
                                                u= r-r*,
         Where r= interest rate in home country and r* id interest rate in foreign country
    When interest rate is high there is more demand for home currency and hence the value
    of currency appreciates in home country and depreciates in the foreign country.
     In this paper I have used the data of
                          Real interest rate = Lending Rate – Deposit Rate
    So higher the Real interest rate less is the money coming in. So the sign of coefficient
    will reverse in this case.

•   Money Supply
    The effect of money supply can be understood through monetary approach to balance
    of payment. When money supply increases, incentive to save is reduced thus people
    start demanding more goods which leads to increase in imports and thus the demand
    supply curve shifts causing home currency to depreciate with respect to the trading
    partner’s currency.
•   Gross Domestic Product/ National Income
    More income gives the people a reason to spend more, thus when a country gains
    income, it starts getting more imports, which again leads to depreciation of importing
    country’s currency.



2. The Future of China’s Exchange Rate Policy by Morris Goldstein
   and Nicholas R. Lardy
    This paper was very useful in gaining insight into the various exchange rate eras that
    China has passed through. It discusses evolution of China’s Exchange Rate Regime in the
    reform era, its transition to an equilibrium exchange rate and what development took
    place after 2005.
    China had a much overvalued currency from 1949 to 1970s, the state fixed China’s
    exchange rate at a highly overvalued level as part of the country’s import substitution
    industrialization strategy. In 1979, the State allowed exporters to retain a share of
    foreign exchange. Slowly these kinds of reforms increased in number and more and
    more foreign exchange was now controlled by Chinese exporters. The value of
    Renmimbi depreciated to 4.79 per $ in 1990 from 1.49 per $ in 1980. From mid 90s to
    2005, China continuously maintained an exchange rate of 8.28 approx. After 2005, China
    started managing its currency “with reference to a basket of currencies” rather than
    pegged to the dollar. This change caused appreciation in value of Renminbi to 6.3 per $
    as in 2012.
    Later in the paper, authors explain the surge in China’s Global Trade Surplus and in the
    end authors discuss the approaches that China can take in future.
     One is Stay- the- Course Strategy which says that China don’t need to do anything
    explicitly for exchange rates. China has done quite well with present structure and even
    if there were problems they were short lived and internal. China has maintained low
    inflation and dealt with all imbalances quite well.
    The other strategy is the Three- Stage Approach, the first stage being the time when
    economy is going through recession and second stage as the time when economy starts
    to recover. Third stage would be when China’s global current account surplus has been
    reduced.

    I take the future approach a little differently, through my result I say that exports of
    China will be going down in coming years because decreasing cheap labor and
    government of China will have to design policies such that the country’s growth will
    not go down in spite of changing global scenarios. I comment on the reasons behind
    difference in significant factors in deciding exchange rate in India/US and China/US. I
    derive my reasoning from the amount of trading taking place between these countries
    with other countries.
Econometric Model

    First task was to decide on the right hand side variables which explain the dependent
    variable and form a regression equation.

                                 π = f (Ls, L*s, Y,Y*, r-r*, p-p*)

                        π = a + bLs + cL*s + dY*+ pY + q(r-r*) + r (p-p*)

            Expected Sign=     +,    -,     -,     +,   +,           +

    Where,
•   π = Exchange rate of Chinese Renminbi against Dollar,
•   Ls= Money Supply in China,
•   L*s= Money Supply in US,
•   Y= National Income or GDP of China,
•   Y*= National Income or GDP of US,
•   r = Real Interest rate of China ,
•   r*= Real Interest Rate of US,
•   p= Inflation in China,
•   p*= Inflation in US,

    The reason of these expected sign have been explained above and summarized here:
    When money supply increases in home country, people starts to save less and spend
    more which leads to increased imports and hence currency depreciates. For the foreign
    country, increased money supply will cause more exports for home country and thus
    appreciation of currency.

    Income behaves in the same way as money supply and thus for Home Income sign is
    +ve, and for foreign income sign is –ve.

    Interest rate changes are responsible for flow of money inside the home economy and
    outside of it. When real interest rate rises, deposit rate decreases, which leads to flow of
    currency outside home economy leading to depreciation of currency. So interest rate
    differential has positive sign.
    Similarly with rise in inflation differential, currency loses its value resulting in
    depreciation hence a positive sign.
Estimated Model

   The factors that are mentioned above are not the only variables that affect the exchange
   rate movements. There are several other factors; some of them are forward premium
   and other exchange rate with major trading partners. If the country is a managed float
   exchange rate economy, then it depends on the set of currencies that it has been
   pegged to.
   So the exact model should have been:


                  π = a + bLs + cL*s + dY*+ pY + q(r-r*) + r (p-p*) +s (πf- πf*)

                            +a1πPound-Yuan+ a2πEuro-Yuan + a3πYen-Yuan

Here,

πf- πf*   = Forward premium difference,

πPound-Yuan = Exchange rate between Great Britain Pound and Chinese Yuan,

πEuro-Yuan = Exchange rate between Great Britain Pound and Chinese Yuan,

πYen-Yuan = Exchange rate between Great Britain Pound and Chinese Yuan,

The reason that these extra variables were not included is that for the case of China,
including other exchange rate was disturbing all other results. Secondly, the data for
forward premium was not available for both the countries.

Also, the limited number of variables was able to explain the majority of variability in the
results, so the significance of including other variables reduced considerably.



Data Source
Most of the data has been downloaded from World Bank, World Development Indicators
Procedure to access data,
Step 1- Go to http://databank.worldbank.org/ddp/home.do
Step 2- Select the database as World Development Indicators
Step 3 – Select China and United State as country
Step 4- Select the variables for which the data is required
Step 5- Download the data in excel sheet.

This source is the most reliable source of economic data and the data is available across all
databases and for almost all countries.
Results
   EViews 3.1 and STATA 8 were used for carrying out several tests. The result of each of
   those test are described below:

   Data
                                                             GDP
          Inflation      Interest       MS                   China(Mil   GDP US        Exchange
Year      Differential   Rate Diff.     China $  MS US $     $)          (Mil $)       Rate
1980       -5.32717         -4.43059    1.67E+11  1.99E+12    306520      2768900        1.4984
1981       -7.07981         -5.99789    1.98E+11  2.23E+12    293852      3105400      1.704533
1982       -6.34266         -0.79597    2.27E+11  2.45E+12    295370      3229500      1.892542
1983       -2.95531         -0.44004    2.71E+11  2.65E+12    314637      3508800      1.975675
1984      1.180511          -5.82954     3.6E+11  2.98E+12    317352      3902600      2.320042
1985      7.150013             -8.748   4.87E+11  3.23E+12    309083      4187500      2.936658
1986        2.51245         -2.93539    6.35E+11  3.53E+12    304348      4427700      3.452792
1987      2.228091          -2.49679    7.96E+11  3.68E+12    329851      4702100        3.7221
1988        8.59983           -8.3863    9.6E+11  3.93E+12    413439      5063900        3.7221
1989      4.746342          -4.24368    1.14E+12  4.14E+12    459782      5441700      3.765108
1990      2.045907          -2.66218    1.47E+12  4.25E+12    404494      5757200      4.783208
1991      3.451021          -3.22267    1.86E+12  4.31E+12    424117      5946900      5.323392
1992        6.13114         -3.68793    2.43E+12   4.3E+12    499859      6286800      5.514592
1993      12.92879          -7.32316    3.57E+12  4.33E+12    641069      6604300      5.761958
1994      18.57137          -12.9829    4.69E+12  4.35E+12    582653      7017500      8.618667
1995        11.4098         -7.82868    6.07E+12  4.65E+12    756960      7342300       8.35125
1996      4.664643          -2.96274    7.61E+12  5.01E+12    892014      7762300      8.314083
1997       -0.41487          0.63018    9.19E+12  5.41E+12    985046      8250900      8.289833
1998       -2.26338         0.458259    1.06E+13  5.93E+12   1045199      8694600          8.279
1999       -2.72108         0.761529    1.21E+13   6.5E+12   1100776      9216200      8.278083
2000        -0.1015         -3.20864    1.36E+13  7.02E+12   1192836      9764800      8.278417
2001       -0.21421         -0.83065    1.56E+13  7.55E+12   1316558     10075900      8.277167
2002       -1.03969         1.695993    1.77E+13  7.88E+12   1454040     10417600          8.277
2003      0.505075          0.655339    2.11E+13  8.23E+12   1647918     10908000          8.277
2004        4.10138           -2.7334   2.42E+13   8.7E+12   1936502     11657300      8.276833
2005      0.610488          -1.18985    2.83E+13  9.41E+12   2302719     12397900      8.194083
2006      0.559569          -2.33435    3.46E+13  1.03E+13   2787254     13163870      7.973333
2007        4.70286         -5.12841    4.03E+13  1.15E+13   3494351     14028700      7.607583
2008      5.586504          -5.12181    4.75E+13  1.24E+13   4531831     14369100       6.94875
2009        -1.6568         3.775042     6.1E+13  1.23E+13   5050543     13863600      6.831417
2010      5.531783          -2.89312    7.26E+13  1.21E+13   5739358     14447100      6.770167
2011      5.022673          -1.61297    8.52E+13   1.3E+13   7318449     15075000        6.4615
Ordinary Least Square Test




                                        Fig 1 Results of OLS

       •   It can be noticed that the value of Durbin –Watson Stat is 1.47 which indicates
           the presence of correlation among the variables.
       •   The value of R- Squared is 0.94 which shows that these variables are quite nicely
           explaining the variability of exchange rate.
       •   Differential Inflation, Differential Interest rate, GDP US and money supply US
           are significant factors explaining exchange rate value. (Probability value is less
           than 5% for each of them and also absolute value of t-stat is greater than 1.96
           for each of them)

       These results are interesting. It is important to know that why money supply and
       GDP of China are not as important as MS and GDP of US.

•   China is an export based industry. Much of its income comes from export of
    manufactured goods. Complete report of its trade statistics can be obtained at
    https://www.uschina.org/statistics/tradetable.html. US are major trade partner of China
    with a trade volume of 500 billion Dollars. So the money supply and GDP changes in US
    affect China’s export to US a lot more than its own GDP and money supply’s effect on its
    imports.
•   The reason behind interest rate being significant factor is that China has continuously
    invested in US treasury bills, so whenever the differential interest rate support the
    purchase of US treasury bills, China purchases those bill increasing money supply and
    expenditure in US and thus ultimately increasing China’s export to US. The exact volume
    of US treasury bills held by China can be obtained at http://www.treasury.gov/resource-
    center/data-chart-center/tic/Documents/mfh.txt.
•    When Differential index is low, it means that inflation is low in China and high in US.
    Because of this reason US people prefer more of China’s cheap and inexpensive
    products. Thus US’s imports from China increases and low inflation appreciates Chinese
    currency.

    But as the value of Durbin- Watson Stat is indicating the presence of correlation,
    remedial measure is required to correct the results. We run generalized least square
    test on the same data. The results are presented below,


                                   Generalized Least Square




                                          Fig 2 Results of GLS
•   After applying the remedial measure, i.e. by using the GLS test on the data, the value of
    Durbin-Watson constant has reached closer to 2, so much of the correlation error has
    been reduced now.
•   Also, the value of t-stat for Differential inflation and differential interest rate reduced to
    1.83 and 1.84 which are less than 1.96, and these factors also lose significance.
•   Although both differential inflation and differential interest rate still have probabilities
    under10 % and Money supply and GDP of US remains the significant factors.
•   The most important thing to note is that the data that is being used here is a time series
    data, so auto correlation is not the only thing that I required to be checked.
•   The Unit Root test is needed to be checked to find out, whether the data series are
    stationary or not.
Unit Root Test
On running Unit test root on all the series, the following results were obtained:

   •    All series had unit root problem and were non stationary. With this finding, it is sure
       that the results obtained from linear regression are wrong since OLS and GLS results
       are valid only for stationary series.
   •   The options that are left now are that either co-integration test can be run on the
       data or Vector Auto Regression test.
   •   If all series turn out to be of same order (I0 or I1 or I2), then co-integration test can be
       applied because the series are integrated to same level.
Fig 3 Results of Unit Root Test

1.   Inflation differential series was integrated to I1 level.
2.   Differential Interest Rate series was integrated to I2 level.
3.   Money Supply China series was integrated to I3 level.
4.   Money Supply US was series integrated to I1 level.
5.   GDP China series was integrated to I0 level and,
6.   GDP US was integrated to I1 level.

        Since the integration level of all series is not same, so the use of co-integration test
        would not give correct results. The only choice remains to run Vector Auto
        Regression test.


                                     Vector Auto Regression

        VAR is a very important model in econometrics; it’s a concise way of summarizing
        data; the residuals generated by VAR have very little correlation; can be used to
        examine complex relation among many variables.

        A simple vector auto regression for two variables y and z is
                                      Yt = αy +βyyt-1 + γy zt-1 + εyt
                                      Zt = αz + βzyt-1 + γzzt-1 + εtz

        Where,

        The α’s and β’s are parameters,

        The epsilons are white noise, i.e. Eεit =0, Var εit = σ2 and Cov(εit, εjt) =0
This model can be generalized for more variables. EViews comes with an inbuilt algorithm to
execute VAR estimation, that is what has been used here,




                     Fig 4 VAR estimate Results for Dependent Variable

Variance Decomposition Result




                              Impulse Response in 10 time period
                                   GDP US                 Exchange
                                     5%                     Rate
                                                             5%


                                                 Inflation
                                   GDP
                                                   44%
                                  China
                                   23%


                        M S US                                 Interest
                         10% M S                                 Rate
                               China                              5%
                                8%
                   Fig 5 Impulse Response Results with normal ordering
In impulse response, the ordering of the variables matter because the amount of variability
explaining ability of variable goes down as its sequence number decreases. So it’s important
to check results with different ordering.

With this particular ordering, the results show that inflation will be major influential factor
in determining the exchange rate in 10 time period and GDP China and MS China will also
become important factor in future.

Results with different ordering

1. MS US, GDP US, MS China, Diff. Inflation, GDP China, Diff. Interest Rate, Exchange Rate
2. MS China, GDP China, MS US, GDP US, Diff. Inflation, Diff. Interest Rate, Exchange Rate

                Fig 6 Ordering 1 Result
               GDP US
                 5% Exchang
                      e Rate
                        5%                               With this ordering, Inflation (38%)
                                                         still remains a major factor but along
                                 Inflation               with it, GDP (22%) and Money
              GDP                  38%                   Supply (19%) in China also become
             China
                                                         important factor with the
              22%
                                                         significance of GDP (5%) and Money
                M S US                                   supply (10%) going down in next 10
                 10%
                          MS                             time periods.
                         China               Interest
                          19%                  Rate
                                                1%

                                                                                   GDP US
                                                                                      5% Exchang
         According to this ordering, GDP of                                                e Rate
         China (54%) will take place of                                                      5%
                                                                                               Inflation
         Differential inflation as most
                                                                                                  5%
         significant factor, MS in China will                      GDP                        Interest
         explain 19 % variability in next 10                      China                         Rate
         time period. The significance of GDP                      54%                MS         1%
                                                                                     China
         and MS is reduced to low levels and
                                                                                      19%
         interest rate and inflation become                                   M S US
         almost irrelevant.                                                    11%



                                                                      Fig 7 Ordering 2 results
These results with different ordering have something in common, i.e.

   •   The significance of money supply and GDP will go up in future and China’s exchange
       rate dependence on US economy will go down.
   •   This can be interpreted as fall in China’s exports to US and China’s overall trade going
       down.
   •   China’s exchange rate will depend more on internal demand and supply of foreign
       exchange.
   •   A possible reason of this may be that, in coming year China will lose it comparative
       advantage over products from other countries because of diminishing availability of
       cheap labor. [http://www.bbc.co.uk/news/world-asia-19630110]
   •   Population of China is getting old (average age is increasing), so the wage rates are
       going high in China and that’s why the Chinese product will not be cheap as before,
       so a net decline in exports will cause more home based changes than US based
       changes.

       To get the final equation and to do forecasting, we need the value of normalized
       beta coefficients, which can be obtained in STATA. The results from STATA are given
       below,




                                  Fig 8 Normalized Beta Coefficients
       Var2= Differential Inflation, Var3= Differential Interest Rate, Var4= Money Supply in
       China, Var5= Money Supply in US, Var6= GDP China, Var7= GDP US

       I will consider only those variable for which absolute value of t-stat is greater than
       1.96 and the probability value is less than 5%.
       These variables are:
       1. Differential Inflation
       2. Differential Interest Rate
       3. Money Supply in US
       4. GDP US
Final Equation:
                     π = a + bLs + cL*s + dY*+ pY + q(r-r*) + r (p-p*)

π = .1706 + 0*Ls – (2.16E-12)L*s + (2.42E-06)Y*+ o*Y + .1376(r-r*) + .0923 (p-p*)

      π = .1706– (2.16E-12)L*s + (2.42E-06)Y* + .1376(r-r*) + .0923 (p-p*)



                           In- Sample Forecasting
        Fig 8 Table for Forecasted values of Exchange Rate (In Sample)

        Year   Actual Exchange Rate       Forecasted Values     Difference
        1980   1.4984                     1.479765              0.018635
        1981   1.704533                   1.398976              0.305557
        1982   1.892542                   2.001109              -0.10857
        1983   1.975675                   2.601297              -0.62562
        1984   2.320042                   2.476583              -0.15654
        1985   2.936658                   2.781104              0.155555
        1986   3.452792                   3.079855              0.372936
        1987   3.7221                     3.467739              0.254361
        1988   3.7221                     3.58156               0.14054
        1989   3.765108                   4.259095              -0.49399
        1990   4.783208                   4.751651              0.031557
        1991   5.323392                   5.125678              0.197714
        1992   5.514592                   6.145956              -0.63136
        1993   5.761958                   6.986216              -1.22426
        1994   8.618667                   7.690343              0.928324
        1995   8.35125                    7.879416              0.471834
        1996   8.314083                   8.153351              0.160732
        1997   8.289833                   8.494864              -0.20503
        1998   8.279                      8.251661              0.027339
        1999   8.278083                   8.294993              -0.01691
        2000   8.278417                   8.179949              0.098467
        2001   8.277167                   8.117598              0.159569
        2002   8.277                      8.499348              -0.22235
        2003   8.277                      8.925396              -0.6484
        2004   8.276833                   9.587266              -1.31043
        2005   8.194083                   9.73684               -1.54276
        2006   7.973333                   9.593501              -1.62017
        2007   7.607583                   9.081372              -1.47379
        2008   6.94875                    7.959028              -1.01028
        2009   6.831417                   7.483228              -0.65181
        2010   6.770167                   9.177648              -2.40748
        2011   6.4615                     8.840639              -2.37914
It can be seen that the forecasting is right for most of the years, it is only after year 2005,
that the forecasting is giving wrong results. One of the reasons of it can be that after year
2005, China changed its exchange rate regime, it pegged its currency to a basket of
currencies, and thus the value of Chinese Yuan was dependent on other exchange rates
also.

Based on this model the out of sample forecasting is done the following way,

For next five years, GDP growth rate has been used to determine future GDP. The trend of
Money supply increase has been used to get future money supply values and the mean of
last five years of differential inflation and differential interest rate is being used for
obtaining the values of future inflation and interest rate differentials.

                 Fig 9 Forecasted Values using same model (Out Of Sample)

        Year    Diff.       Diff Interest   Money          GDP US       Forecasted Rate
                Inflation   Rate            Supply US
        2012    3.837405    -2.19625        1.4E+13        15373485 7.233181
        2013    3.837405    -2.19625        1.5E+13        15677880 5.795345
        2014    3.837405    -2.19625        1.6E+13        15988302 4.33775


Differential Inflation = average value of inflation differential for year 2007, 08, 09, 10, 11

Differential Interest Rate = average value of interest rate differential for year 2007, 08, 09,
10, 11

Money supply Excess= (1.59E+10)*Year value – (3.1E+13) Obtained through linear
regression on money supply increase every year

GDP US: A forecast of GDP growth rate of 1.98 as provided by World Bank is used to get the
future value of GDP



                   Variation in the current regression model
As the result for forecasted value were not appropriate after the year 2005, so I tried a
modification in regression model and included Exchange Rate of Yuan –Yen and Yuan –
Pound as my explanatory variables. After running the similar results on these variables, I
found that only Yuan –Yen exchange rate and Yuan – Pound Exchange rates are significant
variables, so using the beta coefficients I formed the following equation:

                         Π= .9461+ .2194*πPound-Yuan+ 44.2215*πYen-Yuan
Based on this modified model, I again forecasted the value of Exchange rate for last 7 years,
the result of which is given below:

                      Fig 10 Forecasted values with improvised model

                      Year    Actual Exchange Rate    Forecasted Rate
                      2005    8.194083                7.504279
                      2006    7.973333                7.201861
                      2007    7.607583                7.14476
                      2008    6.94875                 6.741718
                      2009    6.831417                6.522745
                      2010    6.770167                6.656823
                      2011    6.4615                  6.804896


These results can be explained by the facts that Chinese government on 21 July, 2005
announced that the Chinese Currency is a managed float and is now pegged to a basket of
currencies among which Pound and Yen are two important ones.
[http://en.wikipedia.org/wiki/Renminbi#Value] That’s the reason this forecast are much
closer to actual values.



                               Comparison with India
While comparing with India, the number of variables included on right hand side were more
than in case of China, the extra addition were Pound Rupee Exchange Rate, Euro/Rupee
Exchange Rate and Japanese Yen/Rupee Exchange Rate.

The results of normalized beta coefficients for Indian data are given below:




             Fig 11 Results for beta coefficients and regression for Indian Data
The differences between Chinese model and Indian model can be sketched in following
    manner:

                    India                                                 China
•   All the three exchange rates, i.e.             •   Chinese Yuan also was significantly affected by
    pound/rupee, euro/rupee and Yen/rupee              these rates since China manages its exchange
    come out to be significant. The reason for         rate based on the value of these currencies.
    this India has a lot of trade with these           Japan is China second major trade partner and
    three regions on Indian map and also               UK is also one of the important trade partner.
    because the basket of currencies to which          [https://www.uschina.org/statistics/tradetable.h
    India has pegged its exchange rate                 tm]
    contains these exchange rates. [Export-
    Import bank of India, Catalyzing India's
    trade and investment]
•   For India, not only GDP of US is significant   •   In case of China, China’s own GDP and money
    variable, but also its own GDP and money           supply were insignificant instead US GDP and
    supply.                                            Money supply were important factors.
•   By applying VAR and impulse response on        •   By applying variance decomposition and impulse
    Indian data, it can be said that Pound             response, it can be said that Chinese GDP and
    Rupee exchange rate, Yen Rupee                     Chinese Money Supply will become significant in
    Exchange Rate and Interest rate                    coming years
    differential will gain even more
    significance.
•   By this result it can be said that India       •   The average age of Chinese population is
    trade with these countries will further            increasing. In next 10-15 years the number of
    increase in future. Inflation, GDP and             people above retirement age will be 65million.
    Economic changes in these regions will be          This indicates to a lack of cheap labor in future
    reflected in the way India’s currency              which will cause rise in prices of manufactured
    value changes.                                     goods from China. This will lead to decreased
                                                       exports and thus Chinese currency value will
                                                       depend more on its own internal GDP and
                                                       Money supply condition.
                                                       This theory is well explained in my own research
                                                       work available at
                                                       [http://www.scribd.com/doc/113469484/Term-
                                                       Paper-SOC-479]
Conclusion and Discussion
After this study, we are in the situation to answer the questions asked in the beginning of
this paper which were:

   1. What factors have major significance in deciding the movement of Renminbi-
      Dollar exchange rate and why?
   2. What is the equation that can be used to make prediction for coming years?
   3. How the case of China is different from India?
   4. What should China’s government do to ensure that country’s growth rate doesn’t
      go down?



   The factors that have most significance and effect on Chinese currency value are
   differential inflation in China, differential interest rate in China, Money supply and
   National Income of US.

   Inflation rise in China causes fall of exports and hence demand of Yuan goes down
   leading to depreciation of Yuan, that’s why a positive sign is seen in the results. Rise in
   differential inflation causes more purchases of US treasury bills by China’s central bank,
   leading to excessive supply of Yuan and thus depreciation. This explains the reason of
   positive sign.

   With increasing GDP levels, US engages even more in international trade causing dollar
   to lose value against major currencies such as euro, yen and pound. Since China has
   pegged its currency to dollar for a long time, so any such depreciation causes Yuan to
   depreciate against US Dollar. That’s why a positive sign for US GDP.

   When China buys more of US treasury bills, it increase money supply in US and hence US
   takes more imports from China, leading to appreciation of Yuan and hence a negative
   sign for money supply in US.

   The equation obtained is

            π = .1706– (2.16E-12)L*s + (2.42E-06)Y* + .1376(r-r*) + .0923 (p-p*),

This equation gives correct forecasting till year 2005, but then because change in exchange
rate regime in China, a new improvised model was implemented where Yuan exchange rate
versus British Pound and Japanese Yen were found to be significant factors. And the new
equation was

                        Π= .9461+ .2194*πPound-Yuan+ 44.2215*πYen-Yuan

This equation gave far better results of forecasting (in sample) after 2005, then the previous
equation.
China’s case is different from India in the way that China’s economy is based around exports
of good to outside countries mainly to US and Japan while India’s economy is more driven
by both direction trade and direct investments. Also, India trade with US is much less
compared to China’s trade so India is not so much affected by economic changes of United
States.

China’s future growth depends on the value of Yuan and the competitive advantage of
Chinese goods. China faces pressure from all over the world to appreciate its currency but
that will lead to reduced exports which China would not like at all. To let the Yuan freely
float, China should allow all its residents to hold foreign currency and buy foreign assets.
This would allow the Chinese Government to hold fewer dollars and lessen the trade
imbalance with the U.S. Then there would be less focus by the U.S. Congress calling for an
increase in the Yuan's value [The Future of China’s Exchange Rate Policy by Morris Goldstein
and Nicholas R. Lardy].

China should start to invest in its service sector and information technology sector like India,
so that even in case of reducing exports of manufactured good, the total exports don’t go
down and hence China would be able to maintain its export oriented growth.

Most of the results match with what other studies have shown and almost every result are
justified by theory behind it. The literature completely supports the predictions made by
this study.

Ending Note
This study can be extended further; many more variables should be included in the
regression if data is available for them. The result will improve significantly if someone can
get data for Chinese economy even before 1980 and regress it on US data.

The dependence of Yuan on Euro should also be considered and further studies can be done
to calculate what weightage each currency has got in its currency basket.
References
1.   International Economics by Peter B. Kenen
2.   The Future of China’s Exchange Rate Policy by Morris Goldstein and Nicholas R. Lardy
3.   World Bank, Databank http://databank.worldbank.org/ddp/home.do
4.    Statistics of China’s International Trade
     https://www.uschina.org/statistics/tradetable.html
5.    Details of countries holding US treasury bills
     http://www.treasury.gov/resource-center/data-chart-center/tic/Documents/mfh.txt
6.    Ageing China: Challenges and Solution
     http://www.bbc.co.uk/news/world-asia-19630110
7.    Renminbi Rate Regime Information
     http://en.wikipedia.org/wiki/Renminbi#Value
8.   Export-Import bank of India, Catalyzing India's trade and investment
9.   Impact of Changing Chinese Demography on Economic Growth
     http://www.scribd.com/doc/113469484/Term-Paper-SOC-479

Mais conteúdo relacionado

Mais procurados

Exchange rate determination.
Exchange rate determination.Exchange rate determination.
Exchange rate determination.priyankasahu123
 
The chinese yuan Devaluation
The chinese yuan DevaluationThe chinese yuan Devaluation
The chinese yuan DevaluationShubham Mongia
 
Econ315 Money and Banking: Learning Unit 15: Foreign Exchange Market
Econ315 Money and Banking: Learning Unit 15: Foreign Exchange MarketEcon315 Money and Banking: Learning Unit 15: Foreign Exchange Market
Econ315 Money and Banking: Learning Unit 15: Foreign Exchange Marketsakanor
 
Foreign exchange rate determination
Foreign exchange rate determination Foreign exchange rate determination
Foreign exchange rate determination DAVIS THOMAS
 
Monetary model of exchange rates
Monetary model of exchange ratesMonetary model of exchange rates
Monetary model of exchange ratesAsusena Tártaros
 
IBE303 Lecture 8
IBE303 Lecture 8IBE303 Lecture 8
IBE303 Lecture 8saark
 
Currency Project
Currency ProjectCurrency Project
Currency Projectdpark1
 
Relationships between Inflation, Interest Rates, and Exchange Rates
Relationships between Inflation, Interest Rates, and Exchange Rates Relationships between Inflation, Interest Rates, and Exchange Rates
Relationships between Inflation, Interest Rates, and Exchange Rates ICAB
 
Currency devaluation
Currency devaluationCurrency devaluation
Currency devaluationSana Usman
 
#11 submit the link for slideshare
#11 submit the link for slideshare#11 submit the link for slideshare
#11 submit the link for slidesharedo-fu
 
A study on the impact of global currency fluctuations with a special focus to...
A study on the impact of global currency fluctuations with a special focus to...A study on the impact of global currency fluctuations with a special focus to...
A study on the impact of global currency fluctuations with a special focus to...Aman Vij
 
Determining exchange rates
Determining exchange ratesDetermining exchange rates
Determining exchange ratesRaj vardhan
 
4.5 International Economics Balance Of Payments
4.5 International Economics   Balance Of Payments4.5 International Economics   Balance Of Payments
4.5 International Economics Balance Of PaymentsAndrew McCarthy
 

Mais procurados (17)

Exchange rate determination.
Exchange rate determination.Exchange rate determination.
Exchange rate determination.
 
The chinese yuan Devaluation
The chinese yuan DevaluationThe chinese yuan Devaluation
The chinese yuan Devaluation
 
Econ315 Money and Banking: Learning Unit 15: Foreign Exchange Market
Econ315 Money and Banking: Learning Unit 15: Foreign Exchange MarketEcon315 Money and Banking: Learning Unit 15: Foreign Exchange Market
Econ315 Money and Banking: Learning Unit 15: Foreign Exchange Market
 
Foreign exchange rate determination
Foreign exchange rate determination Foreign exchange rate determination
Foreign exchange rate determination
 
Monetary model of exchange rates
Monetary model of exchange ratesMonetary model of exchange rates
Monetary model of exchange rates
 
IBE303 Lecture 8
IBE303 Lecture 8IBE303 Lecture 8
IBE303 Lecture 8
 
Role of rmb final
Role of rmb finalRole of rmb final
Role of rmb final
 
Exchange Rate Dynamics: The Overshooting Model (With Sticky Prices)
Exchange Rate Dynamics: The Overshooting Model (With Sticky Prices)Exchange Rate Dynamics: The Overshooting Model (With Sticky Prices)
Exchange Rate Dynamics: The Overshooting Model (With Sticky Prices)
 
Currency Project
Currency ProjectCurrency Project
Currency Project
 
Relationships between Inflation, Interest Rates, and Exchange Rates
Relationships between Inflation, Interest Rates, and Exchange Rates Relationships between Inflation, Interest Rates, and Exchange Rates
Relationships between Inflation, Interest Rates, and Exchange Rates
 
Currency devaluation
Currency devaluationCurrency devaluation
Currency devaluation
 
#11 submit the link for slideshare
#11 submit the link for slideshare#11 submit the link for slideshare
#11 submit the link for slideshare
 
A study on the impact of global currency fluctuations with a special focus to...
A study on the impact of global currency fluctuations with a special focus to...A study on the impact of global currency fluctuations with a special focus to...
A study on the impact of global currency fluctuations with a special focus to...
 
Economy Model USA
Economy Model USAEconomy Model USA
Economy Model USA
 
Determining exchange rates
Determining exchange ratesDetermining exchange rates
Determining exchange rates
 
4.5 International Economics Balance Of Payments
4.5 International Economics   Balance Of Payments4.5 International Economics   Balance Of Payments
4.5 International Economics Balance Of Payments
 
Foreign exchange
Foreign exchange Foreign exchange
Foreign exchange
 

Destaque

Exchange rate policy of rbi
Exchange rate policy of rbiExchange rate policy of rbi
Exchange rate policy of rbiISHA JAISWAL
 
Fiscal responsibility budget management act
Fiscal responsibility budget management actFiscal responsibility budget management act
Fiscal responsibility budget management actRS P
 
Fiscal Responsibility and Budget Management
Fiscal Responsibility and Budget ManagementFiscal Responsibility and Budget Management
Fiscal Responsibility and Budget ManagementParas Savla
 
14th finance commission of India
14th finance commission of India14th finance commission of India
14th finance commission of IndiaThazuala
 
Finance commision of India
Finance commision of IndiaFinance commision of India
Finance commision of IndiaHemant Mahaver
 
Calculation of revenue,fiscal and primary deficit of India.
Calculation of revenue,fiscal and primary deficit of India.Calculation of revenue,fiscal and primary deficit of India.
Calculation of revenue,fiscal and primary deficit of India.theotaku
 
Fiscal deficit in india
Fiscal deficit in indiaFiscal deficit in india
Fiscal deficit in indiarohitsaliannld
 
Fiscal deficit in india
Fiscal deficit in india Fiscal deficit in india
Fiscal deficit in india akhilareddy176
 
Rupee convertability
Rupee convertabilityRupee convertability
Rupee convertabilityKallol Sarkar
 
Каталог продукции LR 2013 для Казахстана
Каталог продукции LR 2013 для КазахстанаКаталог продукции LR 2013 для Казахстана
Каталог продукции LR 2013 для Казахстанаt575ae
 
Top 10 lời khuyên SEO thành công vào năm 2014
Top 10 lời khuyên SEO thành công vào năm 2014Top 10 lời khuyên SEO thành công vào năm 2014
Top 10 lời khuyên SEO thành công vào năm 2014Đào tạo Seo
 
LEVICK Weekly - Mar 29 2013
LEVICK Weekly - Mar 29 2013LEVICK Weekly - Mar 29 2013
LEVICK Weekly - Mar 29 2013LEVICK
 

Destaque (20)

Exchange rate policy of rbi
Exchange rate policy of rbiExchange rate policy of rbi
Exchange rate policy of rbi
 
Fiscal responsibility budget management act
Fiscal responsibility budget management actFiscal responsibility budget management act
Fiscal responsibility budget management act
 
Fiscal Responsibility and Budget Management
Fiscal Responsibility and Budget ManagementFiscal Responsibility and Budget Management
Fiscal Responsibility and Budget Management
 
14th finance commission of India
14th finance commission of India14th finance commission of India
14th finance commission of India
 
Finance commision of India
Finance commision of IndiaFinance commision of India
Finance commision of India
 
Calculation of revenue,fiscal and primary deficit of India.
Calculation of revenue,fiscal and primary deficit of India.Calculation of revenue,fiscal and primary deficit of India.
Calculation of revenue,fiscal and primary deficit of India.
 
Fiscal deficit in india
Fiscal deficit in indiaFiscal deficit in india
Fiscal deficit in india
 
Module 43 exchange rate policy
Module 43 exchange rate policyModule 43 exchange rate policy
Module 43 exchange rate policy
 
Fiscal deficit in india
Fiscal deficit in india Fiscal deficit in india
Fiscal deficit in india
 
Rupee convertability
Rupee convertabilityRupee convertability
Rupee convertability
 
14784493 Indian Capital Market
14784493 Indian Capital Market14784493 Indian Capital Market
14784493 Indian Capital Market
 
Fiscal ppt
Fiscal pptFiscal ppt
Fiscal ppt
 
 
 
Каталог продукции LR 2013 для Казахстана
Каталог продукции LR 2013 для КазахстанаКаталог продукции LR 2013 для Казахстана
Каталог продукции LR 2013 для Казахстана
 
Biomol presentacion 1
Biomol presentacion 1Biomol presentacion 1
Biomol presentacion 1
 
Rau qua muoi_chua
Rau qua muoi_chuaRau qua muoi_chua
Rau qua muoi_chua
 
Top 10 lời khuyên SEO thành công vào năm 2014
Top 10 lời khuyên SEO thành công vào năm 2014Top 10 lời khuyên SEO thành công vào năm 2014
Top 10 lời khuyên SEO thành công vào năm 2014
 
LEVICK Weekly - Mar 29 2013
LEVICK Weekly - Mar 29 2013LEVICK Weekly - Mar 29 2013
LEVICK Weekly - Mar 29 2013
 
Foamea1
Foamea1Foamea1
Foamea1
 

Semelhante a Chinese Yuan Movement and Comparison with Indian Rupee

Balance of payments& Exchange Rates
Balance of payments& Exchange RatesBalance of payments& Exchange Rates
Balance of payments& Exchange RatesVaradKalokhe
 
Factors affecting exchange_rate
Factors affecting exchange_rateFactors affecting exchange_rate
Factors affecting exchange_rateHusnain Haider
 
Chapter 13_The Foreign Exchange Market
Chapter 13_The Foreign Exchange MarketChapter 13_The Foreign Exchange Market
Chapter 13_The Foreign Exchange MarketRusman Mukhlis
 
Devaluation presentation 1
Devaluation presentation 1Devaluation presentation 1
Devaluation presentation 1Asma4646
 
Effect of dollar fluctuation on Indian trade.
Effect of dollar fluctuation on Indian trade.Effect of dollar fluctuation on Indian trade.
Effect of dollar fluctuation on Indian trade.Sajal Agarwal
 
4.6 International Economics Exchange Rates
4.6 International Economics   Exchange Rates4.6 International Economics   Exchange Rates
4.6 International Economics Exchange RatesAndrew McCarthy
 
Devaluation of Chinese currency ( Yuan) . A comprehensive case study.
Devaluation of Chinese currency ( Yuan) . A comprehensive case study. Devaluation of Chinese currency ( Yuan) . A comprehensive case study.
Devaluation of Chinese currency ( Yuan) . A comprehensive case study. Rohit Banskota
 
Devaluation renminbi
Devaluation renminbiDevaluation renminbi
Devaluation renminbiDinesh Pupala
 
Forex Management Chapter - III
Forex Management Chapter - IIIForex Management Chapter - III
Forex Management Chapter - IIISwaminath Sam
 
The Rise of the Dollar
The Rise of the DollarThe Rise of the Dollar
The Rise of the DollarSean Ling
 
ch%204%20Exchange%20Rate%20determination%2011ed.pptx
ch%204%20Exchange%20Rate%20determination%2011ed.pptxch%204%20Exchange%20Rate%20determination%2011ed.pptx
ch%204%20Exchange%20Rate%20determination%2011ed.pptxRiadHasan25
 
BAFI 3200- International Finance- Group 2- Team L
BAFI 3200- International Finance- Group 2- Team LBAFI 3200- International Finance- Group 2- Team L
BAFI 3200- International Finance- Group 2- Team LChau Vuong Minh
 
MACROECONOMICS-CH4
MACROECONOMICS-CH4MACROECONOMICS-CH4
MACROECONOMICS-CH4kkjjkevin03
 

Semelhante a Chinese Yuan Movement and Comparison with Indian Rupee (18)

Balance of payments& Exchange Rates
Balance of payments& Exchange RatesBalance of payments& Exchange Rates
Balance of payments& Exchange Rates
 
Factors affecting exchange_rate
Factors affecting exchange_rateFactors affecting exchange_rate
Factors affecting exchange_rate
 
Chapter 13_The Foreign Exchange Market
Chapter 13_The Foreign Exchange MarketChapter 13_The Foreign Exchange Market
Chapter 13_The Foreign Exchange Market
 
Devaluation presentation 1
Devaluation presentation 1Devaluation presentation 1
Devaluation presentation 1
 
Effect of dollar fluctuation on Indian trade.
Effect of dollar fluctuation on Indian trade.Effect of dollar fluctuation on Indian trade.
Effect of dollar fluctuation on Indian trade.
 
Tianjin Case Study
Tianjin Case StudyTianjin Case Study
Tianjin Case Study
 
4.6 International Economics Exchange Rates
4.6 International Economics   Exchange Rates4.6 International Economics   Exchange Rates
4.6 International Economics Exchange Rates
 
21 the mundell fleming model
21 the mundell fleming model21 the mundell fleming model
21 the mundell fleming model
 
International Economics
International EconomicsInternational Economics
International Economics
 
Exchange Rate
Exchange RateExchange Rate
Exchange Rate
 
Devaluation of Chinese currency ( Yuan) . A comprehensive case study.
Devaluation of Chinese currency ( Yuan) . A comprehensive case study. Devaluation of Chinese currency ( Yuan) . A comprehensive case study.
Devaluation of Chinese currency ( Yuan) . A comprehensive case study.
 
Devaluation renminbi
Devaluation renminbiDevaluation renminbi
Devaluation renminbi
 
Forex Management Chapter - III
Forex Management Chapter - IIIForex Management Chapter - III
Forex Management Chapter - III
 
Quantity theory of money
Quantity theory of moneyQuantity theory of money
Quantity theory of money
 
The Rise of the Dollar
The Rise of the DollarThe Rise of the Dollar
The Rise of the Dollar
 
ch%204%20Exchange%20Rate%20determination%2011ed.pptx
ch%204%20Exchange%20Rate%20determination%2011ed.pptxch%204%20Exchange%20Rate%20determination%2011ed.pptx
ch%204%20Exchange%20Rate%20determination%2011ed.pptx
 
BAFI 3200- International Finance- Group 2- Team L
BAFI 3200- International Finance- Group 2- Team LBAFI 3200- International Finance- Group 2- Team L
BAFI 3200- International Finance- Group 2- Team L
 
MACROECONOMICS-CH4
MACROECONOMICS-CH4MACROECONOMICS-CH4
MACROECONOMICS-CH4
 

Chinese Yuan Movement and Comparison with Indian Rupee

  • 1. Factors of Movement of Exchange Rate between Chinese Yuan and US Dollar and comparison with Indian Scenario Department of Humanities and Social Science Under supervision of Dr. S. K. Mathur, Associate Professor of Economics, HSS Department IIT Kanpur By Ved Prakash 10790 M. Sc. Integrated Mathematics IIT Kanpur
  • 2. Introduction Chinese economy and currency have influenced international economy for a long time and China has become the second largest economy in the world. The movements of Chinese Renminbi (RMB) have affected balance of payment of several major economies on large scale. The historical movement of RMB from an overvalued currency before 80’s to undervalue currency after 2005 have made a huge impact on Chinese balance of payment and Chinese GDP. An overvalued currency allowed Chinese government to provide imported machinery and equipment to priority industries at a relatively lower domestic currency cost than otherwise would have been possible. Cheap machinery mixed with high cheap labor availability led to high production. A devaluation of currency after the reforms of 1979 led to high exports and China continuously started having a current account surplus and accumulated large stock of foreign reserves. In fact China currently has the highest reserves in the world of US Dollar. But this exchange rate is depended on several variables such as open interest parity, PPP Theory, Covered interest parity, money supply in domestic and foreign country, and income in two country, difference between interest rates and difference of prices in the two countries. Through this paper I intend to establish following task: 1. What factors have major significance in deciding the movement of Renminbi- Dollar exchange rate and why? 2. What is the equation that can be used to make prediction for coming years? 3. How the case of China is different from India? 4. What should China’s government do to ensure that country’s growth rate doesn’t go down? Various econometric models have been used in the paper and also explained as much required. Ordinary least square, Generalized Square model and Variance Auto regression have been used in this paper.
  • 3. Literature 1. International Economics by Peter B. Kenen This book discusses the various factors that affect the Exchange rate for any country. There are several factors but the most important are: • Inflation Differential As a general rule, a country with a consistently lower inflation rate exhibits a rising currency value, as its purchasing power increases relative to other currencies. During the last half of the twentieth century, the countries with low inflation included Japan, Germany and Switzerland, while the U.S. and Canada achieved low inflation only later. Those countries with higher inflation typically see depreciation in their currency in relation to the currencies of their trading partners. For this paper I have used Inflation differential as Inflation Differential = Inflation China (in %) - Inflation US (in %) It can also be said that as inflation increases, commodities that you can buy with a given amount of currency decreases and hence the value of your currency decreases. So with rising inflation, currency depreciates. • Interest Rate Differential Interest rate is one major instrument to attract foreign capital to move inside the home country. When interest rate in home country are more than interest rate in foreign country, then investors make more profit by depositing their money in the country with higher returns. So their exist open interest parity, u= r-r*, Where r= interest rate in home country and r* id interest rate in foreign country When interest rate is high there is more demand for home currency and hence the value of currency appreciates in home country and depreciates in the foreign country. In this paper I have used the data of Real interest rate = Lending Rate – Deposit Rate So higher the Real interest rate less is the money coming in. So the sign of coefficient will reverse in this case. • Money Supply The effect of money supply can be understood through monetary approach to balance of payment. When money supply increases, incentive to save is reduced thus people start demanding more goods which leads to increase in imports and thus the demand supply curve shifts causing home currency to depreciate with respect to the trading partner’s currency.
  • 4. Gross Domestic Product/ National Income More income gives the people a reason to spend more, thus when a country gains income, it starts getting more imports, which again leads to depreciation of importing country’s currency. 2. The Future of China’s Exchange Rate Policy by Morris Goldstein and Nicholas R. Lardy This paper was very useful in gaining insight into the various exchange rate eras that China has passed through. It discusses evolution of China’s Exchange Rate Regime in the reform era, its transition to an equilibrium exchange rate and what development took place after 2005. China had a much overvalued currency from 1949 to 1970s, the state fixed China’s exchange rate at a highly overvalued level as part of the country’s import substitution industrialization strategy. In 1979, the State allowed exporters to retain a share of foreign exchange. Slowly these kinds of reforms increased in number and more and more foreign exchange was now controlled by Chinese exporters. The value of Renmimbi depreciated to 4.79 per $ in 1990 from 1.49 per $ in 1980. From mid 90s to 2005, China continuously maintained an exchange rate of 8.28 approx. After 2005, China started managing its currency “with reference to a basket of currencies” rather than pegged to the dollar. This change caused appreciation in value of Renminbi to 6.3 per $ as in 2012. Later in the paper, authors explain the surge in China’s Global Trade Surplus and in the end authors discuss the approaches that China can take in future. One is Stay- the- Course Strategy which says that China don’t need to do anything explicitly for exchange rates. China has done quite well with present structure and even if there were problems they were short lived and internal. China has maintained low inflation and dealt with all imbalances quite well. The other strategy is the Three- Stage Approach, the first stage being the time when economy is going through recession and second stage as the time when economy starts to recover. Third stage would be when China’s global current account surplus has been reduced. I take the future approach a little differently, through my result I say that exports of China will be going down in coming years because decreasing cheap labor and government of China will have to design policies such that the country’s growth will not go down in spite of changing global scenarios. I comment on the reasons behind difference in significant factors in deciding exchange rate in India/US and China/US. I derive my reasoning from the amount of trading taking place between these countries with other countries.
  • 5. Econometric Model First task was to decide on the right hand side variables which explain the dependent variable and form a regression equation. π = f (Ls, L*s, Y,Y*, r-r*, p-p*) π = a + bLs + cL*s + dY*+ pY + q(r-r*) + r (p-p*) Expected Sign= +, -, -, +, +, + Where, • π = Exchange rate of Chinese Renminbi against Dollar, • Ls= Money Supply in China, • L*s= Money Supply in US, • Y= National Income or GDP of China, • Y*= National Income or GDP of US, • r = Real Interest rate of China , • r*= Real Interest Rate of US, • p= Inflation in China, • p*= Inflation in US, The reason of these expected sign have been explained above and summarized here: When money supply increases in home country, people starts to save less and spend more which leads to increased imports and hence currency depreciates. For the foreign country, increased money supply will cause more exports for home country and thus appreciation of currency. Income behaves in the same way as money supply and thus for Home Income sign is +ve, and for foreign income sign is –ve. Interest rate changes are responsible for flow of money inside the home economy and outside of it. When real interest rate rises, deposit rate decreases, which leads to flow of currency outside home economy leading to depreciation of currency. So interest rate differential has positive sign. Similarly with rise in inflation differential, currency loses its value resulting in depreciation hence a positive sign.
  • 6. Estimated Model The factors that are mentioned above are not the only variables that affect the exchange rate movements. There are several other factors; some of them are forward premium and other exchange rate with major trading partners. If the country is a managed float exchange rate economy, then it depends on the set of currencies that it has been pegged to. So the exact model should have been: π = a + bLs + cL*s + dY*+ pY + q(r-r*) + r (p-p*) +s (πf- πf*) +a1πPound-Yuan+ a2πEuro-Yuan + a3πYen-Yuan Here, πf- πf* = Forward premium difference, πPound-Yuan = Exchange rate between Great Britain Pound and Chinese Yuan, πEuro-Yuan = Exchange rate between Great Britain Pound and Chinese Yuan, πYen-Yuan = Exchange rate between Great Britain Pound and Chinese Yuan, The reason that these extra variables were not included is that for the case of China, including other exchange rate was disturbing all other results. Secondly, the data for forward premium was not available for both the countries. Also, the limited number of variables was able to explain the majority of variability in the results, so the significance of including other variables reduced considerably. Data Source Most of the data has been downloaded from World Bank, World Development Indicators Procedure to access data, Step 1- Go to http://databank.worldbank.org/ddp/home.do Step 2- Select the database as World Development Indicators Step 3 – Select China and United State as country Step 4- Select the variables for which the data is required Step 5- Download the data in excel sheet. This source is the most reliable source of economic data and the data is available across all databases and for almost all countries.
  • 7. Results EViews 3.1 and STATA 8 were used for carrying out several tests. The result of each of those test are described below: Data GDP Inflation Interest MS China(Mil GDP US Exchange Year Differential Rate Diff. China $ MS US $ $) (Mil $) Rate 1980 -5.32717 -4.43059 1.67E+11 1.99E+12 306520 2768900 1.4984 1981 -7.07981 -5.99789 1.98E+11 2.23E+12 293852 3105400 1.704533 1982 -6.34266 -0.79597 2.27E+11 2.45E+12 295370 3229500 1.892542 1983 -2.95531 -0.44004 2.71E+11 2.65E+12 314637 3508800 1.975675 1984 1.180511 -5.82954 3.6E+11 2.98E+12 317352 3902600 2.320042 1985 7.150013 -8.748 4.87E+11 3.23E+12 309083 4187500 2.936658 1986 2.51245 -2.93539 6.35E+11 3.53E+12 304348 4427700 3.452792 1987 2.228091 -2.49679 7.96E+11 3.68E+12 329851 4702100 3.7221 1988 8.59983 -8.3863 9.6E+11 3.93E+12 413439 5063900 3.7221 1989 4.746342 -4.24368 1.14E+12 4.14E+12 459782 5441700 3.765108 1990 2.045907 -2.66218 1.47E+12 4.25E+12 404494 5757200 4.783208 1991 3.451021 -3.22267 1.86E+12 4.31E+12 424117 5946900 5.323392 1992 6.13114 -3.68793 2.43E+12 4.3E+12 499859 6286800 5.514592 1993 12.92879 -7.32316 3.57E+12 4.33E+12 641069 6604300 5.761958 1994 18.57137 -12.9829 4.69E+12 4.35E+12 582653 7017500 8.618667 1995 11.4098 -7.82868 6.07E+12 4.65E+12 756960 7342300 8.35125 1996 4.664643 -2.96274 7.61E+12 5.01E+12 892014 7762300 8.314083 1997 -0.41487 0.63018 9.19E+12 5.41E+12 985046 8250900 8.289833 1998 -2.26338 0.458259 1.06E+13 5.93E+12 1045199 8694600 8.279 1999 -2.72108 0.761529 1.21E+13 6.5E+12 1100776 9216200 8.278083 2000 -0.1015 -3.20864 1.36E+13 7.02E+12 1192836 9764800 8.278417 2001 -0.21421 -0.83065 1.56E+13 7.55E+12 1316558 10075900 8.277167 2002 -1.03969 1.695993 1.77E+13 7.88E+12 1454040 10417600 8.277 2003 0.505075 0.655339 2.11E+13 8.23E+12 1647918 10908000 8.277 2004 4.10138 -2.7334 2.42E+13 8.7E+12 1936502 11657300 8.276833 2005 0.610488 -1.18985 2.83E+13 9.41E+12 2302719 12397900 8.194083 2006 0.559569 -2.33435 3.46E+13 1.03E+13 2787254 13163870 7.973333 2007 4.70286 -5.12841 4.03E+13 1.15E+13 3494351 14028700 7.607583 2008 5.586504 -5.12181 4.75E+13 1.24E+13 4531831 14369100 6.94875 2009 -1.6568 3.775042 6.1E+13 1.23E+13 5050543 13863600 6.831417 2010 5.531783 -2.89312 7.26E+13 1.21E+13 5739358 14447100 6.770167 2011 5.022673 -1.61297 8.52E+13 1.3E+13 7318449 15075000 6.4615
  • 8. Ordinary Least Square Test Fig 1 Results of OLS • It can be noticed that the value of Durbin –Watson Stat is 1.47 which indicates the presence of correlation among the variables. • The value of R- Squared is 0.94 which shows that these variables are quite nicely explaining the variability of exchange rate. • Differential Inflation, Differential Interest rate, GDP US and money supply US are significant factors explaining exchange rate value. (Probability value is less than 5% for each of them and also absolute value of t-stat is greater than 1.96 for each of them) These results are interesting. It is important to know that why money supply and GDP of China are not as important as MS and GDP of US. • China is an export based industry. Much of its income comes from export of manufactured goods. Complete report of its trade statistics can be obtained at https://www.uschina.org/statistics/tradetable.html. US are major trade partner of China with a trade volume of 500 billion Dollars. So the money supply and GDP changes in US affect China’s export to US a lot more than its own GDP and money supply’s effect on its imports. • The reason behind interest rate being significant factor is that China has continuously invested in US treasury bills, so whenever the differential interest rate support the purchase of US treasury bills, China purchases those bill increasing money supply and expenditure in US and thus ultimately increasing China’s export to US. The exact volume of US treasury bills held by China can be obtained at http://www.treasury.gov/resource- center/data-chart-center/tic/Documents/mfh.txt.
  • 9. When Differential index is low, it means that inflation is low in China and high in US. Because of this reason US people prefer more of China’s cheap and inexpensive products. Thus US’s imports from China increases and low inflation appreciates Chinese currency. But as the value of Durbin- Watson Stat is indicating the presence of correlation, remedial measure is required to correct the results. We run generalized least square test on the same data. The results are presented below, Generalized Least Square Fig 2 Results of GLS • After applying the remedial measure, i.e. by using the GLS test on the data, the value of Durbin-Watson constant has reached closer to 2, so much of the correlation error has been reduced now. • Also, the value of t-stat for Differential inflation and differential interest rate reduced to 1.83 and 1.84 which are less than 1.96, and these factors also lose significance. • Although both differential inflation and differential interest rate still have probabilities under10 % and Money supply and GDP of US remains the significant factors. • The most important thing to note is that the data that is being used here is a time series data, so auto correlation is not the only thing that I required to be checked. • The Unit Root test is needed to be checked to find out, whether the data series are stationary or not.
  • 10. Unit Root Test On running Unit test root on all the series, the following results were obtained: • All series had unit root problem and were non stationary. With this finding, it is sure that the results obtained from linear regression are wrong since OLS and GLS results are valid only for stationary series. • The options that are left now are that either co-integration test can be run on the data or Vector Auto Regression test. • If all series turn out to be of same order (I0 or I1 or I2), then co-integration test can be applied because the series are integrated to same level.
  • 11. Fig 3 Results of Unit Root Test 1. Inflation differential series was integrated to I1 level. 2. Differential Interest Rate series was integrated to I2 level. 3. Money Supply China series was integrated to I3 level. 4. Money Supply US was series integrated to I1 level. 5. GDP China series was integrated to I0 level and, 6. GDP US was integrated to I1 level. Since the integration level of all series is not same, so the use of co-integration test would not give correct results. The only choice remains to run Vector Auto Regression test. Vector Auto Regression VAR is a very important model in econometrics; it’s a concise way of summarizing data; the residuals generated by VAR have very little correlation; can be used to examine complex relation among many variables. A simple vector auto regression for two variables y and z is Yt = αy +βyyt-1 + γy zt-1 + εyt Zt = αz + βzyt-1 + γzzt-1 + εtz Where, The α’s and β’s are parameters, The epsilons are white noise, i.e. Eεit =0, Var εit = σ2 and Cov(εit, εjt) =0
  • 12. This model can be generalized for more variables. EViews comes with an inbuilt algorithm to execute VAR estimation, that is what has been used here, Fig 4 VAR estimate Results for Dependent Variable Variance Decomposition Result Impulse Response in 10 time period GDP US Exchange 5% Rate 5% Inflation GDP 44% China 23% M S US Interest 10% M S Rate China 5% 8% Fig 5 Impulse Response Results with normal ordering
  • 13. In impulse response, the ordering of the variables matter because the amount of variability explaining ability of variable goes down as its sequence number decreases. So it’s important to check results with different ordering. With this particular ordering, the results show that inflation will be major influential factor in determining the exchange rate in 10 time period and GDP China and MS China will also become important factor in future. Results with different ordering 1. MS US, GDP US, MS China, Diff. Inflation, GDP China, Diff. Interest Rate, Exchange Rate 2. MS China, GDP China, MS US, GDP US, Diff. Inflation, Diff. Interest Rate, Exchange Rate Fig 6 Ordering 1 Result GDP US 5% Exchang e Rate 5% With this ordering, Inflation (38%) still remains a major factor but along Inflation with it, GDP (22%) and Money GDP 38% Supply (19%) in China also become China important factor with the 22% significance of GDP (5%) and Money M S US supply (10%) going down in next 10 10% MS time periods. China Interest 19% Rate 1% GDP US 5% Exchang According to this ordering, GDP of e Rate China (54%) will take place of 5% Inflation Differential inflation as most 5% significant factor, MS in China will GDP Interest explain 19 % variability in next 10 China Rate time period. The significance of GDP 54% MS 1% China and MS is reduced to low levels and 19% interest rate and inflation become M S US almost irrelevant. 11% Fig 7 Ordering 2 results
  • 14. These results with different ordering have something in common, i.e. • The significance of money supply and GDP will go up in future and China’s exchange rate dependence on US economy will go down. • This can be interpreted as fall in China’s exports to US and China’s overall trade going down. • China’s exchange rate will depend more on internal demand and supply of foreign exchange. • A possible reason of this may be that, in coming year China will lose it comparative advantage over products from other countries because of diminishing availability of cheap labor. [http://www.bbc.co.uk/news/world-asia-19630110] • Population of China is getting old (average age is increasing), so the wage rates are going high in China and that’s why the Chinese product will not be cheap as before, so a net decline in exports will cause more home based changes than US based changes. To get the final equation and to do forecasting, we need the value of normalized beta coefficients, which can be obtained in STATA. The results from STATA are given below, Fig 8 Normalized Beta Coefficients Var2= Differential Inflation, Var3= Differential Interest Rate, Var4= Money Supply in China, Var5= Money Supply in US, Var6= GDP China, Var7= GDP US I will consider only those variable for which absolute value of t-stat is greater than 1.96 and the probability value is less than 5%. These variables are: 1. Differential Inflation 2. Differential Interest Rate 3. Money Supply in US 4. GDP US
  • 15. Final Equation: π = a + bLs + cL*s + dY*+ pY + q(r-r*) + r (p-p*) π = .1706 + 0*Ls – (2.16E-12)L*s + (2.42E-06)Y*+ o*Y + .1376(r-r*) + .0923 (p-p*) π = .1706– (2.16E-12)L*s + (2.42E-06)Y* + .1376(r-r*) + .0923 (p-p*) In- Sample Forecasting Fig 8 Table for Forecasted values of Exchange Rate (In Sample) Year Actual Exchange Rate Forecasted Values Difference 1980 1.4984 1.479765 0.018635 1981 1.704533 1.398976 0.305557 1982 1.892542 2.001109 -0.10857 1983 1.975675 2.601297 -0.62562 1984 2.320042 2.476583 -0.15654 1985 2.936658 2.781104 0.155555 1986 3.452792 3.079855 0.372936 1987 3.7221 3.467739 0.254361 1988 3.7221 3.58156 0.14054 1989 3.765108 4.259095 -0.49399 1990 4.783208 4.751651 0.031557 1991 5.323392 5.125678 0.197714 1992 5.514592 6.145956 -0.63136 1993 5.761958 6.986216 -1.22426 1994 8.618667 7.690343 0.928324 1995 8.35125 7.879416 0.471834 1996 8.314083 8.153351 0.160732 1997 8.289833 8.494864 -0.20503 1998 8.279 8.251661 0.027339 1999 8.278083 8.294993 -0.01691 2000 8.278417 8.179949 0.098467 2001 8.277167 8.117598 0.159569 2002 8.277 8.499348 -0.22235 2003 8.277 8.925396 -0.6484 2004 8.276833 9.587266 -1.31043 2005 8.194083 9.73684 -1.54276 2006 7.973333 9.593501 -1.62017 2007 7.607583 9.081372 -1.47379 2008 6.94875 7.959028 -1.01028 2009 6.831417 7.483228 -0.65181 2010 6.770167 9.177648 -2.40748 2011 6.4615 8.840639 -2.37914
  • 16. It can be seen that the forecasting is right for most of the years, it is only after year 2005, that the forecasting is giving wrong results. One of the reasons of it can be that after year 2005, China changed its exchange rate regime, it pegged its currency to a basket of currencies, and thus the value of Chinese Yuan was dependent on other exchange rates also. Based on this model the out of sample forecasting is done the following way, For next five years, GDP growth rate has been used to determine future GDP. The trend of Money supply increase has been used to get future money supply values and the mean of last five years of differential inflation and differential interest rate is being used for obtaining the values of future inflation and interest rate differentials. Fig 9 Forecasted Values using same model (Out Of Sample) Year Diff. Diff Interest Money GDP US Forecasted Rate Inflation Rate Supply US 2012 3.837405 -2.19625 1.4E+13 15373485 7.233181 2013 3.837405 -2.19625 1.5E+13 15677880 5.795345 2014 3.837405 -2.19625 1.6E+13 15988302 4.33775 Differential Inflation = average value of inflation differential for year 2007, 08, 09, 10, 11 Differential Interest Rate = average value of interest rate differential for year 2007, 08, 09, 10, 11 Money supply Excess= (1.59E+10)*Year value – (3.1E+13) Obtained through linear regression on money supply increase every year GDP US: A forecast of GDP growth rate of 1.98 as provided by World Bank is used to get the future value of GDP Variation in the current regression model As the result for forecasted value were not appropriate after the year 2005, so I tried a modification in regression model and included Exchange Rate of Yuan –Yen and Yuan – Pound as my explanatory variables. After running the similar results on these variables, I found that only Yuan –Yen exchange rate and Yuan – Pound Exchange rates are significant variables, so using the beta coefficients I formed the following equation: Π= .9461+ .2194*πPound-Yuan+ 44.2215*πYen-Yuan
  • 17. Based on this modified model, I again forecasted the value of Exchange rate for last 7 years, the result of which is given below: Fig 10 Forecasted values with improvised model Year Actual Exchange Rate Forecasted Rate 2005 8.194083 7.504279 2006 7.973333 7.201861 2007 7.607583 7.14476 2008 6.94875 6.741718 2009 6.831417 6.522745 2010 6.770167 6.656823 2011 6.4615 6.804896 These results can be explained by the facts that Chinese government on 21 July, 2005 announced that the Chinese Currency is a managed float and is now pegged to a basket of currencies among which Pound and Yen are two important ones. [http://en.wikipedia.org/wiki/Renminbi#Value] That’s the reason this forecast are much closer to actual values. Comparison with India While comparing with India, the number of variables included on right hand side were more than in case of China, the extra addition were Pound Rupee Exchange Rate, Euro/Rupee Exchange Rate and Japanese Yen/Rupee Exchange Rate. The results of normalized beta coefficients for Indian data are given below: Fig 11 Results for beta coefficients and regression for Indian Data
  • 18. The differences between Chinese model and Indian model can be sketched in following manner: India China • All the three exchange rates, i.e. • Chinese Yuan also was significantly affected by pound/rupee, euro/rupee and Yen/rupee these rates since China manages its exchange come out to be significant. The reason for rate based on the value of these currencies. this India has a lot of trade with these Japan is China second major trade partner and three regions on Indian map and also UK is also one of the important trade partner. because the basket of currencies to which [https://www.uschina.org/statistics/tradetable.h India has pegged its exchange rate tm] contains these exchange rates. [Export- Import bank of India, Catalyzing India's trade and investment] • For India, not only GDP of US is significant • In case of China, China’s own GDP and money variable, but also its own GDP and money supply were insignificant instead US GDP and supply. Money supply were important factors. • By applying VAR and impulse response on • By applying variance decomposition and impulse Indian data, it can be said that Pound response, it can be said that Chinese GDP and Rupee exchange rate, Yen Rupee Chinese Money Supply will become significant in Exchange Rate and Interest rate coming years differential will gain even more significance. • By this result it can be said that India • The average age of Chinese population is trade with these countries will further increasing. In next 10-15 years the number of increase in future. Inflation, GDP and people above retirement age will be 65million. Economic changes in these regions will be This indicates to a lack of cheap labor in future reflected in the way India’s currency which will cause rise in prices of manufactured value changes. goods from China. This will lead to decreased exports and thus Chinese currency value will depend more on its own internal GDP and Money supply condition. This theory is well explained in my own research work available at [http://www.scribd.com/doc/113469484/Term- Paper-SOC-479]
  • 19. Conclusion and Discussion After this study, we are in the situation to answer the questions asked in the beginning of this paper which were: 1. What factors have major significance in deciding the movement of Renminbi- Dollar exchange rate and why? 2. What is the equation that can be used to make prediction for coming years? 3. How the case of China is different from India? 4. What should China’s government do to ensure that country’s growth rate doesn’t go down? The factors that have most significance and effect on Chinese currency value are differential inflation in China, differential interest rate in China, Money supply and National Income of US. Inflation rise in China causes fall of exports and hence demand of Yuan goes down leading to depreciation of Yuan, that’s why a positive sign is seen in the results. Rise in differential inflation causes more purchases of US treasury bills by China’s central bank, leading to excessive supply of Yuan and thus depreciation. This explains the reason of positive sign. With increasing GDP levels, US engages even more in international trade causing dollar to lose value against major currencies such as euro, yen and pound. Since China has pegged its currency to dollar for a long time, so any such depreciation causes Yuan to depreciate against US Dollar. That’s why a positive sign for US GDP. When China buys more of US treasury bills, it increase money supply in US and hence US takes more imports from China, leading to appreciation of Yuan and hence a negative sign for money supply in US. The equation obtained is π = .1706– (2.16E-12)L*s + (2.42E-06)Y* + .1376(r-r*) + .0923 (p-p*), This equation gives correct forecasting till year 2005, but then because change in exchange rate regime in China, a new improvised model was implemented where Yuan exchange rate versus British Pound and Japanese Yen were found to be significant factors. And the new equation was Π= .9461+ .2194*πPound-Yuan+ 44.2215*πYen-Yuan This equation gave far better results of forecasting (in sample) after 2005, then the previous equation.
  • 20. China’s case is different from India in the way that China’s economy is based around exports of good to outside countries mainly to US and Japan while India’s economy is more driven by both direction trade and direct investments. Also, India trade with US is much less compared to China’s trade so India is not so much affected by economic changes of United States. China’s future growth depends on the value of Yuan and the competitive advantage of Chinese goods. China faces pressure from all over the world to appreciate its currency but that will lead to reduced exports which China would not like at all. To let the Yuan freely float, China should allow all its residents to hold foreign currency and buy foreign assets. This would allow the Chinese Government to hold fewer dollars and lessen the trade imbalance with the U.S. Then there would be less focus by the U.S. Congress calling for an increase in the Yuan's value [The Future of China’s Exchange Rate Policy by Morris Goldstein and Nicholas R. Lardy]. China should start to invest in its service sector and information technology sector like India, so that even in case of reducing exports of manufactured good, the total exports don’t go down and hence China would be able to maintain its export oriented growth. Most of the results match with what other studies have shown and almost every result are justified by theory behind it. The literature completely supports the predictions made by this study. Ending Note This study can be extended further; many more variables should be included in the regression if data is available for them. The result will improve significantly if someone can get data for Chinese economy even before 1980 and regress it on US data. The dependence of Yuan on Euro should also be considered and further studies can be done to calculate what weightage each currency has got in its currency basket.
  • 21. References 1. International Economics by Peter B. Kenen 2. The Future of China’s Exchange Rate Policy by Morris Goldstein and Nicholas R. Lardy 3. World Bank, Databank http://databank.worldbank.org/ddp/home.do 4. Statistics of China’s International Trade https://www.uschina.org/statistics/tradetable.html 5. Details of countries holding US treasury bills http://www.treasury.gov/resource-center/data-chart-center/tic/Documents/mfh.txt 6. Ageing China: Challenges and Solution http://www.bbc.co.uk/news/world-asia-19630110 7. Renminbi Rate Regime Information http://en.wikipedia.org/wiki/Renminbi#Value 8. Export-Import bank of India, Catalyzing India's trade and investment 9. Impact of Changing Chinese Demography on Economic Growth http://www.scribd.com/doc/113469484/Term-Paper-SOC-479