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LEVERAGES
Meaning of Leverage
The term leverage refers to an increased
means of accomplishing some purpose.
Leverage is used to lifting heavy objects, which
may not be otherwise possible.
In the financial point of view, leverage refers to
furnish the ability to use fixed cost assets or
funds to increase the return to its
shareholders.
Definition of Leverage:- James Horne has
defined leverage as, “the employment of an
asset or fund for which the firm pays a fixed
cost or fixed return.
Leverage = -------------------------------
• The concept of leverage has its origin in science. It
means influence of one force over another. Since
financial items are inter-related, change in one, causes
change in profit.
• In the context of financial management, the term
‘leverage’ means sensitiveness of one financial variable
to change in another.
• The measure of this sensitiveness is expressed as a ratio
and is called degree of leverage.
Algebraically, the leverage may be defined as,
% change in one variable
% change in some other variable
Measures of Leverage
To understand the concept of leverage, it is
imperative to understand the three measures of
Leverage which are as follows:
(i) Operating Leverage
(ii) Financial Leverage
(iii) Combined Leverage
(i) Operating Leverage
The leverage associated with investment activities is
called as operating leverage. It is caused due to fixed
operating expenses in the company.
Operating leverage may be defined as the company’s
ability to use fixed operating costs to magnify the effects
of changes in sales on its earnings before interest and
taxes.
Operating leverage consists of two important costs
viz., fixed cost and variable cost.
When the company is said to have a high degree of
operating leverage if it employs a great amount of fixed
cost and smaller amount of variable cost.
Operating leverage can be calculated with the
help of the following formula:
Degree of Operating Leverage:-
The degree of operating leverage may
be defined as percentage change in the
profits resulting from a percentage
change in the sales. It can be calculated
with the help of the following
From the following selected operating data,
determine the degree of operating leverage.
Which company has the greater amount of
business risk? Why?
Company A
Rs.
Company B
Sales 25,00,000 30,00,000
Fixed Cost 7,50,000 15,00,000
Variable expenses as a percentage of sales are 50% for
company A and 25% for company B.
Statement of Profit
Company A Company B
Sales 25,00,000 30,00,000
VC 12,50,000 7,50,000
Contribution 12,50,000 22,50,000
FC 7,50,000 15,00,000
Operating Profit 5,00,000 7,50,000
Operating Leverage = Contribution
Operating Profit
“A” Company Leverage = 2.5
“B” Company Leverage = 3
Uses of Operating Leverage
Operating leverage is one of the techniques to measure
the impact of changes in sales which lead for change in
the profits of the company.
If any change in the sales, it will lead to corresponding
changes in profit.
Operating leverage helps to identify the position of fixed
cost and variable cost.
Operating leverage measures the relationship between
the sales and revenue of the company during a
particular period.
Operating leverage helps to understand the level of fixed
cost which is invested in the operating expenses of
business activities.
FINANCIAL LEVERAGE
Leverage activities with financing activities is called
financial leverage.
Financial leverage represents the relationship between the
company’s earnings before interest and taxes (EBIT) or
operating profit and the earning available to equity
shareholders.
Financial leverage is defined as “the ability of a firm to use
fixed financial charges to magnify the effects of changes in
EBIT on the earnings per share”.
FINANCIAL LEVERAGE
It involves the use of funds obtained at a fixed cost in the
hope of increasing the return to the shareholders.
“The use of long-term fixed interest bearing debt and
preference share capital along with share capital is called
financial leverage or trading on equity”.
Financial leverage may be favourable or unfavourable
depends upon the use of fixed cost funds.
Favourable financial leverage occurs when the company
earns more on the assets purchased with the funds, then
the fixed cost of their use.
Hence, it is also called as positive financial leverage.
Unfavourable financial leverage occurs when the
company does not earn as much as the funds cost.
Hence, it is also called as negative financial leverage.
Financial leverage can be calculated with the help of the
following formula:
Degree of Financial Leverage:- Degree of financial leverage
may be defined as the percentage change in taxable profit as a
result of percentage change in earning before interest and tax
(EBIT). This can be calculated by the following formula
Percentage change in taxable Income
DFL=
Precentage change in EBIT
According to Gitmar, “financial leverage is the ability of a
firm to use fixed financial changes to magnify the effects of
change in EBIT and EPS”.
FL= EBIT/EPS
FL = Financial Leverage
EBIT = Earning Before Interest and Tax
EPS = Earning Per share.
A Company has the following capital structure
Equity share capital 1,00,000
10% Prof. share capital 1,00,000
8% Debentures 1,25,000
The present EBIT is Rs. 50,000. Calculate the
financial leverage assuring that the company is in
50% tax bracket.
Solution
Statement of Profit Rs.
Earning Before Interest and Tax
(EBIT) or Operating Profit
50,000
Interest on Debenture
1,25,000*8%
10,000
Earning before Tax (EBT) 40,000
Income Tax 20,000
Profit 20,000
Financial leverage =Operating Profit /Profit Before Tax
= 50,000/40,000
=1.25
Uses of Financial Leverage
• Financial leverage helps to examine the relationship between
EBIT and EPS.
• Financial leverage measures the percentage of change in
taxable income to the percentage change in EBIT.
• Financial leverage locates the correct profitable financial
decision regarding capital structure of the company.
• Financial leverage is one of the important devices which is
used to measure the fixed cost proportion with the total
capital of the company.
• If the firm acquires fixed cost funds at a higher cost, then the
earnings from those assets, the earning per share and return
on equity capital will decrease.
XYZ Ltd. decides to use two financial plans and they
need Rs. 50,000 for total investment.
Particulars Plan A Plan B
Debenture (interest
at 10%)
40,000 10,000
Equity share (Rs. 10
each)
10,000 40,000
Total Investment
Needed
50,000 50,000
Number of equity
shares
1,000 4,000
The earnings before interest and tax are assumed at Rs. 5,000, and
12,500. The tax rate is 50%. Calculate the EPS.
Particulars Plan A Plan B
Earnings before
interest and tax
(EBIT)
5,000 5,000
Less : Interest on debt
(10%)
4,000 1,000
Earnings before tax
(EBT)
1,000 4,000
Less: Tax@50% 500 2000
Earnings available to
equity shareholders
Rs.500 Rs.2000
No. Of Equity Shares 1000 4000
Earnings per share
(EPS)
(Earnings/No. of
equity shares)
Rs.0.50 Rs.0.50
When EBIT is Rs. 5,000
When EBIT is Rs. 12,500
Particulars Plan A Plan B
Earnings before
interest and tax
(EBIT)
12,500 12,500
Less : Interest on debt
(10%)
4,000 1,000
Earnings before tax
(EBT)
8,500 11,500
Less: Tax@50% 4,250 5,750
Earnings available to
equity shareholders
Rs.4,250 Rs.5,750
No. Of Equity Shares 1000 4000
Earnings per share
(EPS)
(Earnings/No. of
equity shares)
Rs.4.25 Rs.1.44
Operating Leverage Financial Leverage
Operating leverage is associated with
investment activities of the company.
Financial leverage is associated with
financing activities of the company.
Operating leverage consists of fixed
operating expenses of the company
Financial leverage consists of operating
profit of the company
It represents the ability to use fixed
Operating Profit
It represents the relationship between
EBIT & EPS
Operating leverage can be calculated by
OL=C/OP
Financial leverage can be calculated by
FL=OP/PBT
A percentage change in the profits
resulting from a percentage change in
the sales is called as degree of operating
leverage.
A percentage change in taxable profit is
the result of percentage change in EBIT.
Operating leverage depends upon fixed
cost and variable cost
Financial leverage depends upon the
operating profits
Tax rate and interest rate will not affect
the operating leverage.
Financial leverage will change due to tax
rate and interest rate.
DISTINGUISH BETWEEN OPERATING
LEVERAGE AND FINANCIAL LEVERAGE
COMBINED LEVERAGE
Company uses both financial and operating leverage to
magnification of any change in sales into a larger relative
changes in earning per share. Combined leverage is also
called as composite leverage or total leverage.
Combined leverage express the relationship between the
revenue in the account of sales and the taxable income.
Combined leverage can be calculated with the help of the
following formulas: CL = OL × FL
Degree of Combined Leverage =
Percentage change in EPS/Percentage change in sales
Kumar company has sales of Rs. 25,00,000. Variable cost
of Rs. 12,50,000 and fixed cost of Rs. 50,000 and debt of
Rs. 12,50,000 at 8% rate of interest. Calculate combined
leverage.
Solution:- Statement of Profit
Sales 25,00,000
Less: Variable cost 15,00,000
Contribution 10,00,000
Less:Fixed cost 5,00,000
Operating Profit 5,00,000
Calculation of Op. leverage=Contribution/Operating Profit
=10,00,000/5,00,000
= 2
Calculation of financial leverage:-
EBIT = 5,00,00
Less Interest on Debenture ( 8% of 12,50,000)=1,00,000
EBT = 4,00,000
FL = 5,00,000/4,00,000=1.25
Combined leverage = 2*1.25=2.5

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Unit 3 leverages

  • 2. Meaning of Leverage The term leverage refers to an increased means of accomplishing some purpose. Leverage is used to lifting heavy objects, which may not be otherwise possible. In the financial point of view, leverage refers to furnish the ability to use fixed cost assets or funds to increase the return to its shareholders. Definition of Leverage:- James Horne has defined leverage as, “the employment of an asset or fund for which the firm pays a fixed cost or fixed return.
  • 3. Leverage = ------------------------------- • The concept of leverage has its origin in science. It means influence of one force over another. Since financial items are inter-related, change in one, causes change in profit. • In the context of financial management, the term ‘leverage’ means sensitiveness of one financial variable to change in another. • The measure of this sensitiveness is expressed as a ratio and is called degree of leverage. Algebraically, the leverage may be defined as, % change in one variable % change in some other variable
  • 4. Measures of Leverage To understand the concept of leverage, it is imperative to understand the three measures of Leverage which are as follows: (i) Operating Leverage (ii) Financial Leverage (iii) Combined Leverage
  • 5. (i) Operating Leverage The leverage associated with investment activities is called as operating leverage. It is caused due to fixed operating expenses in the company. Operating leverage may be defined as the company’s ability to use fixed operating costs to magnify the effects of changes in sales on its earnings before interest and taxes. Operating leverage consists of two important costs viz., fixed cost and variable cost. When the company is said to have a high degree of operating leverage if it employs a great amount of fixed cost and smaller amount of variable cost.
  • 6. Operating leverage can be calculated with the help of the following formula: Degree of Operating Leverage:- The degree of operating leverage may be defined as percentage change in the profits resulting from a percentage change in the sales. It can be calculated with the help of the following
  • 7. From the following selected operating data, determine the degree of operating leverage. Which company has the greater amount of business risk? Why? Company A Rs. Company B Sales 25,00,000 30,00,000 Fixed Cost 7,50,000 15,00,000 Variable expenses as a percentage of sales are 50% for company A and 25% for company B.
  • 8. Statement of Profit Company A Company B Sales 25,00,000 30,00,000 VC 12,50,000 7,50,000 Contribution 12,50,000 22,50,000 FC 7,50,000 15,00,000 Operating Profit 5,00,000 7,50,000 Operating Leverage = Contribution Operating Profit “A” Company Leverage = 2.5 “B” Company Leverage = 3
  • 9. Uses of Operating Leverage Operating leverage is one of the techniques to measure the impact of changes in sales which lead for change in the profits of the company. If any change in the sales, it will lead to corresponding changes in profit. Operating leverage helps to identify the position of fixed cost and variable cost. Operating leverage measures the relationship between the sales and revenue of the company during a particular period. Operating leverage helps to understand the level of fixed cost which is invested in the operating expenses of business activities.
  • 10. FINANCIAL LEVERAGE Leverage activities with financing activities is called financial leverage. Financial leverage represents the relationship between the company’s earnings before interest and taxes (EBIT) or operating profit and the earning available to equity shareholders. Financial leverage is defined as “the ability of a firm to use fixed financial charges to magnify the effects of changes in EBIT on the earnings per share”.
  • 11. FINANCIAL LEVERAGE It involves the use of funds obtained at a fixed cost in the hope of increasing the return to the shareholders. “The use of long-term fixed interest bearing debt and preference share capital along with share capital is called financial leverage or trading on equity”. Financial leverage may be favourable or unfavourable depends upon the use of fixed cost funds. Favourable financial leverage occurs when the company earns more on the assets purchased with the funds, then the fixed cost of their use. Hence, it is also called as positive financial leverage.
  • 12. Unfavourable financial leverage occurs when the company does not earn as much as the funds cost. Hence, it is also called as negative financial leverage. Financial leverage can be calculated with the help of the following formula: Degree of Financial Leverage:- Degree of financial leverage may be defined as the percentage change in taxable profit as a result of percentage change in earning before interest and tax (EBIT). This can be calculated by the following formula Percentage change in taxable Income DFL= Precentage change in EBIT
  • 13. According to Gitmar, “financial leverage is the ability of a firm to use fixed financial changes to magnify the effects of change in EBIT and EPS”. FL= EBIT/EPS FL = Financial Leverage EBIT = Earning Before Interest and Tax EPS = Earning Per share.
  • 14. A Company has the following capital structure Equity share capital 1,00,000 10% Prof. share capital 1,00,000 8% Debentures 1,25,000 The present EBIT is Rs. 50,000. Calculate the financial leverage assuring that the company is in 50% tax bracket.
  • 15. Solution Statement of Profit Rs. Earning Before Interest and Tax (EBIT) or Operating Profit 50,000 Interest on Debenture 1,25,000*8% 10,000 Earning before Tax (EBT) 40,000 Income Tax 20,000 Profit 20,000 Financial leverage =Operating Profit /Profit Before Tax = 50,000/40,000 =1.25
  • 16. Uses of Financial Leverage • Financial leverage helps to examine the relationship between EBIT and EPS. • Financial leverage measures the percentage of change in taxable income to the percentage change in EBIT. • Financial leverage locates the correct profitable financial decision regarding capital structure of the company. • Financial leverage is one of the important devices which is used to measure the fixed cost proportion with the total capital of the company. • If the firm acquires fixed cost funds at a higher cost, then the earnings from those assets, the earning per share and return on equity capital will decrease.
  • 17. XYZ Ltd. decides to use two financial plans and they need Rs. 50,000 for total investment. Particulars Plan A Plan B Debenture (interest at 10%) 40,000 10,000 Equity share (Rs. 10 each) 10,000 40,000 Total Investment Needed 50,000 50,000 Number of equity shares 1,000 4,000 The earnings before interest and tax are assumed at Rs. 5,000, and 12,500. The tax rate is 50%. Calculate the EPS.
  • 18. Particulars Plan A Plan B Earnings before interest and tax (EBIT) 5,000 5,000 Less : Interest on debt (10%) 4,000 1,000 Earnings before tax (EBT) 1,000 4,000 Less: Tax@50% 500 2000 Earnings available to equity shareholders Rs.500 Rs.2000 No. Of Equity Shares 1000 4000 Earnings per share (EPS) (Earnings/No. of equity shares) Rs.0.50 Rs.0.50 When EBIT is Rs. 5,000
  • 19. When EBIT is Rs. 12,500 Particulars Plan A Plan B Earnings before interest and tax (EBIT) 12,500 12,500 Less : Interest on debt (10%) 4,000 1,000 Earnings before tax (EBT) 8,500 11,500 Less: Tax@50% 4,250 5,750 Earnings available to equity shareholders Rs.4,250 Rs.5,750 No. Of Equity Shares 1000 4000 Earnings per share (EPS) (Earnings/No. of equity shares) Rs.4.25 Rs.1.44
  • 20. Operating Leverage Financial Leverage Operating leverage is associated with investment activities of the company. Financial leverage is associated with financing activities of the company. Operating leverage consists of fixed operating expenses of the company Financial leverage consists of operating profit of the company It represents the ability to use fixed Operating Profit It represents the relationship between EBIT & EPS Operating leverage can be calculated by OL=C/OP Financial leverage can be calculated by FL=OP/PBT A percentage change in the profits resulting from a percentage change in the sales is called as degree of operating leverage. A percentage change in taxable profit is the result of percentage change in EBIT. Operating leverage depends upon fixed cost and variable cost Financial leverage depends upon the operating profits Tax rate and interest rate will not affect the operating leverage. Financial leverage will change due to tax rate and interest rate. DISTINGUISH BETWEEN OPERATING LEVERAGE AND FINANCIAL LEVERAGE
  • 21. COMBINED LEVERAGE Company uses both financial and operating leverage to magnification of any change in sales into a larger relative changes in earning per share. Combined leverage is also called as composite leverage or total leverage. Combined leverage express the relationship between the revenue in the account of sales and the taxable income. Combined leverage can be calculated with the help of the following formulas: CL = OL × FL Degree of Combined Leverage = Percentage change in EPS/Percentage change in sales
  • 22. Kumar company has sales of Rs. 25,00,000. Variable cost of Rs. 12,50,000 and fixed cost of Rs. 50,000 and debt of Rs. 12,50,000 at 8% rate of interest. Calculate combined leverage. Solution:- Statement of Profit Sales 25,00,000 Less: Variable cost 15,00,000 Contribution 10,00,000 Less:Fixed cost 5,00,000 Operating Profit 5,00,000 Calculation of Op. leverage=Contribution/Operating Profit =10,00,000/5,00,000 = 2 Calculation of financial leverage:- EBIT = 5,00,00 Less Interest on Debenture ( 8% of 12,50,000)=1,00,000 EBT = 4,00,000 FL = 5,00,000/4,00,000=1.25 Combined leverage = 2*1.25=2.5