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Financial Management
Content :-
▪ Meaning of Leverage
▪ Types of Leverage
▪ Operating Leverage
▪ Financial Leverage
▪ Difference between Operating & Financial Leverage
▪ Combined Leverage
▪ Illustrations
▪ Exercise
Meaning of Leverage
▪ Leverage means the employment of assets or funds for which the
firm pays a fixed cost or fixed return.
▪ The concept that is used to study the effects of various mix of
debt and equity on the shareholder’s return and risk in the capital
structure of a firm is called leverage.
Types of Leverage
Operating
Leverage
Financial
Leverage
Combined
Leverage
Meaning of Operating Leverage
▪ Operating leverage is defined as the use of fixed operating costs to magnify
a change in profits relative to a given changes in sales.
Operating Leverage =
𝐶𝑜𝑛𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛
𝑂𝑝𝑒𝑟𝑎𝑡𝑖𝑛𝑔 𝑃𝑟𝑜𝑓𝑖𝑡𝑠
or
𝐶𝑜𝑛𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛
𝐸𝐵𝐼𝑇
* EBIT = Earning before Interest & Tax
*Contribution = Sales-Variable cost
Sales
-Variable cost
= Contribution
- Fixed cost
= EBIT
Degree of Operating
Leverage
▪ The multiplier effect resulting from the use of fixed operating
costs can be measured by the degree of operating leverage.
▪ The degree of operating leverage (DOL) at any level of output
expressed as the ratio of the percentage change in operating
profits to percentage change in sales.
DOL =
% ∆ 𝑖𝑛 𝑝𝑟𝑜𝑓𝑖𝑡𝑠
% ∆ 𝑖𝑛 𝑆𝑎𝑙𝑒𝑠
or
% ∆ 𝑖𝑛 𝐸𝐵𝐼𝑇
% ∆ 𝑖𝑛 𝑆𝑎𝑙𝑒𝑠
Characteristics of Operating
Leverage
▪ It is related to the assets side of balance sheet.
▪ It is directly related to break-even point.
▪ It is related to selling price and variable costs.
▪ It is involves business risk.
Meaning of Financial Leverage
▪ The firms ability to use fixed financial charges/costs to magnify the effect of
changes in earnings before interest & tax (EBIT) on firm’s earning per share.
▪ It sometimes treated as “Trading on Equity”.
Financial Leverage =
𝐸𝐵𝐼𝑇
𝐸𝐵𝑇
or
𝐸𝐵𝐼𝑇
𝐸𝐵𝑇−(
𝑃𝐷
1−𝑡
)
*EBIT = Earning before Interest & Tax
*EBT = Earning before tax
*PD = Preference dividend
*t= Tax rate
Degree of Financial Leverage
▪ The DFL can be measured in any of two ways:-
1. DFL =
% ∆ 𝑖𝑛 𝐸𝑃𝑆
% ∆ 𝑖𝑛 𝐸𝐵𝐼𝑇
2. DFL =
% ∆ 𝑖𝑛 𝐸𝐵𝑇
% ∆ 𝑖𝑛 𝐸𝐵𝐼𝑇
Characteristics of Financial
Leverage
▪ It is related to liabilities side of balance sheet.
▪ It is the mix of methods of financing.
▪ It shows effect of changes in operating profits on
earnings per share due to fixed financial charges.
▪ It involves financial risk.
Difference between Operating & Financial
Leverage
S.
no.
Basis OPERATING LEVERAGE FINANCIAL LEVERAGE
1. Objective
Magnifies the effect of changes in sales
volume on operating profit.
Magnifies the effect of changes in
EBIT on EPS.
2. Relationship
Establishes relationship b/w EBIT &
Sales.
Establishes relationship b/w EBIT &
EPS.
3. Measurement
Measures a firm’s ability to use fixed
cost assets to magnify the operating
profits.
Measures a firm’s ability to use fixed
cost funds to magnify the return to
equity shareholders.
4. Decision Concerned with investment decision.
Concerned with financing or capital
structure decision.
5. Risk
Involves the operating risk of being
unable to cover fixed operating costs.
Involves the financial risk being unable
to cover fixed financial cost.
6. Relates Assets side of balance sheet. Liabilities side f balance sheet.
Meaning of Combined
Leverage
▪ The combine leverage may be defined as the relationship b/w contribution and
the taxable income.
Combined Leverage = Operating Leverage × Financial Leverage
or
𝑐𝑜𝑛𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛
𝐸𝐵𝐼𝑇
×
𝐸𝐵𝐼𝑇
𝐸𝐵𝑇
or
𝑐𝑜𝑛𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛
𝐸𝐵𝑇
Degree of Combined Leverage
▪ DCL measures the percentage change in earnings per share due to percentage
change in sales.
DCL = DOL × DFL
or
% ∆ 𝑖𝑛 𝐸𝐵𝐼𝑇
% ∆ 𝑖𝑛 𝑆𝑎𝑙𝑒𝑠
×
% ∆ 𝑖𝑛 𝐸𝑃𝑆
% ∆ 𝑖𝑛 𝐸𝐵𝐼𝑇
or
% ∆ 𝑖𝑛 𝐸𝑃𝑆
% ∆ 𝑖𝑛 𝑆𝑎𝑙𝑒𝑠
Ill-1 : A company has sales of ₹15,00,000; variable costs is 40% of sales;
fixed cost ₹1,00,000 and 12%debentures of ₹ 7,00,000. Calculate the
operating, financial & combined leverage.
Sol :
Given :- Sales = ₹ 15,00,000; Variable cost = ₹ 6,00,000 (40%);
Fixed cost =₹ 5,00,000; Interest = ₹ 84,000 (12% of ₹ 7,00,000)
i). Operating Leverage =
𝐶𝑜𝑛𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛
𝐸𝐵𝐼𝑇
=
₹ 9,00,000
₹ 8,00,000
= 1.125
ii). Financial Leverage =
𝐸𝐵𝐼𝑇
𝐸𝐵𝑇
=
₹ 8,00,000
₹ 7,16,000
= 1.12
iii). Combined leverage =
𝑐𝑜𝑛𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛
𝐸𝐵𝐼𝑇
×
𝐸𝐵𝐼𝑇
𝐸𝐵𝑇
=
₹ 9,00,000
₹ 8,00,000
×
₹ 8,00,000
₹ 7,16,000
= 1.25
OR
𝑐𝑜𝑛𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛
𝐸𝐵𝑇
=
₹ 9,00,000
₹7,16,000
= 1.25
Sale = ₹ 15,00,000
-Variable cost = - ₹ 6,00,000
=Contribution = ₹ 9,00,000
-Fixed cost = - ₹ 1,00,000
= EBIT = ₹ 8,00,000
- Interest = - ₹ 84,000
= EBT = ₹7,16,,000
Q. 1. Calculate the degree of operating leverage, degree of financial leverage and the degree of combined leverage
for the following firms and interpret the results :
P Q R
Output (units) 2,50,000 1,25,000 7,50,000
Fixed Cost 5,00,000 2,50,000 10,00,000
Unit Variable Cost 5 2 7.50
Unit Selling Price 7.50 7 10.0
Interest Expenses 75,000 25,000 ---
Q. 2. The following data relate to RT Ltd. :
Earnings before interest and tax (EBIT) 10,00,000
Fixed Cost 20,00,000
Earnings Before Tax (EBT) 8,00,000
Required : Calculate combined leverage.
Q. 3. X Ltd. details are as under :
Sales (@ 100 per unit) 24,00,000; Variable Cost 50%;Fixed Cost 10,00,000
It has borrowed 10,00,000 @ 10% p.a. and its equity share capital is 10,00,000 (₹ 100 each).
The company is in a tax bracket of 50%.
Calculate : (a) Operating Leverage (b) Financial Leverage (c) Combined Leverage (d) Return
on Equity (e) If the sales increases by ₹ 6,00,000 ; what will the new EBIT
Leverage (Operating, financial & combined leverage)

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Leverage (Operating, financial & combined leverage)

  • 2. Content :- ▪ Meaning of Leverage ▪ Types of Leverage ▪ Operating Leverage ▪ Financial Leverage ▪ Difference between Operating & Financial Leverage ▪ Combined Leverage ▪ Illustrations ▪ Exercise
  • 3. Meaning of Leverage ▪ Leverage means the employment of assets or funds for which the firm pays a fixed cost or fixed return. ▪ The concept that is used to study the effects of various mix of debt and equity on the shareholder’s return and risk in the capital structure of a firm is called leverage.
  • 5.
  • 6. Meaning of Operating Leverage ▪ Operating leverage is defined as the use of fixed operating costs to magnify a change in profits relative to a given changes in sales. Operating Leverage = 𝐶𝑜𝑛𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛 𝑂𝑝𝑒𝑟𝑎𝑡𝑖𝑛𝑔 𝑃𝑟𝑜𝑓𝑖𝑡𝑠 or 𝐶𝑜𝑛𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛 𝐸𝐵𝐼𝑇 * EBIT = Earning before Interest & Tax *Contribution = Sales-Variable cost Sales -Variable cost = Contribution - Fixed cost = EBIT
  • 7. Degree of Operating Leverage ▪ The multiplier effect resulting from the use of fixed operating costs can be measured by the degree of operating leverage. ▪ The degree of operating leverage (DOL) at any level of output expressed as the ratio of the percentage change in operating profits to percentage change in sales. DOL = % ∆ 𝑖𝑛 𝑝𝑟𝑜𝑓𝑖𝑡𝑠 % ∆ 𝑖𝑛 𝑆𝑎𝑙𝑒𝑠 or % ∆ 𝑖𝑛 𝐸𝐵𝐼𝑇 % ∆ 𝑖𝑛 𝑆𝑎𝑙𝑒𝑠
  • 8. Characteristics of Operating Leverage ▪ It is related to the assets side of balance sheet. ▪ It is directly related to break-even point. ▪ It is related to selling price and variable costs. ▪ It is involves business risk.
  • 9.
  • 10. Meaning of Financial Leverage ▪ The firms ability to use fixed financial charges/costs to magnify the effect of changes in earnings before interest & tax (EBIT) on firm’s earning per share. ▪ It sometimes treated as “Trading on Equity”. Financial Leverage = 𝐸𝐵𝐼𝑇 𝐸𝐵𝑇 or 𝐸𝐵𝐼𝑇 𝐸𝐵𝑇−( 𝑃𝐷 1−𝑡 ) *EBIT = Earning before Interest & Tax *EBT = Earning before tax *PD = Preference dividend *t= Tax rate
  • 11. Degree of Financial Leverage ▪ The DFL can be measured in any of two ways:- 1. DFL = % ∆ 𝑖𝑛 𝐸𝑃𝑆 % ∆ 𝑖𝑛 𝐸𝐵𝐼𝑇 2. DFL = % ∆ 𝑖𝑛 𝐸𝐵𝑇 % ∆ 𝑖𝑛 𝐸𝐵𝐼𝑇
  • 12. Characteristics of Financial Leverage ▪ It is related to liabilities side of balance sheet. ▪ It is the mix of methods of financing. ▪ It shows effect of changes in operating profits on earnings per share due to fixed financial charges. ▪ It involves financial risk.
  • 13. Difference between Operating & Financial Leverage S. no. Basis OPERATING LEVERAGE FINANCIAL LEVERAGE 1. Objective Magnifies the effect of changes in sales volume on operating profit. Magnifies the effect of changes in EBIT on EPS. 2. Relationship Establishes relationship b/w EBIT & Sales. Establishes relationship b/w EBIT & EPS. 3. Measurement Measures a firm’s ability to use fixed cost assets to magnify the operating profits. Measures a firm’s ability to use fixed cost funds to magnify the return to equity shareholders. 4. Decision Concerned with investment decision. Concerned with financing or capital structure decision. 5. Risk Involves the operating risk of being unable to cover fixed operating costs. Involves the financial risk being unable to cover fixed financial cost. 6. Relates Assets side of balance sheet. Liabilities side f balance sheet.
  • 14.
  • 15. Meaning of Combined Leverage ▪ The combine leverage may be defined as the relationship b/w contribution and the taxable income. Combined Leverage = Operating Leverage × Financial Leverage or 𝑐𝑜𝑛𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛 𝐸𝐵𝐼𝑇 × 𝐸𝐵𝐼𝑇 𝐸𝐵𝑇 or 𝑐𝑜𝑛𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛 𝐸𝐵𝑇
  • 16. Degree of Combined Leverage ▪ DCL measures the percentage change in earnings per share due to percentage change in sales. DCL = DOL × DFL or % ∆ 𝑖𝑛 𝐸𝐵𝐼𝑇 % ∆ 𝑖𝑛 𝑆𝑎𝑙𝑒𝑠 × % ∆ 𝑖𝑛 𝐸𝑃𝑆 % ∆ 𝑖𝑛 𝐸𝐵𝐼𝑇 or % ∆ 𝑖𝑛 𝐸𝑃𝑆 % ∆ 𝑖𝑛 𝑆𝑎𝑙𝑒𝑠
  • 17.
  • 18. Ill-1 : A company has sales of ₹15,00,000; variable costs is 40% of sales; fixed cost ₹1,00,000 and 12%debentures of ₹ 7,00,000. Calculate the operating, financial & combined leverage. Sol : Given :- Sales = ₹ 15,00,000; Variable cost = ₹ 6,00,000 (40%); Fixed cost =₹ 5,00,000; Interest = ₹ 84,000 (12% of ₹ 7,00,000) i). Operating Leverage = 𝐶𝑜𝑛𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛 𝐸𝐵𝐼𝑇 = ₹ 9,00,000 ₹ 8,00,000 = 1.125 ii). Financial Leverage = 𝐸𝐵𝐼𝑇 𝐸𝐵𝑇 = ₹ 8,00,000 ₹ 7,16,000 = 1.12 iii). Combined leverage = 𝑐𝑜𝑛𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛 𝐸𝐵𝐼𝑇 × 𝐸𝐵𝐼𝑇 𝐸𝐵𝑇 = ₹ 9,00,000 ₹ 8,00,000 × ₹ 8,00,000 ₹ 7,16,000 = 1.25 OR 𝑐𝑜𝑛𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛 𝐸𝐵𝑇 = ₹ 9,00,000 ₹7,16,000 = 1.25 Sale = ₹ 15,00,000 -Variable cost = - ₹ 6,00,000 =Contribution = ₹ 9,00,000 -Fixed cost = - ₹ 1,00,000 = EBIT = ₹ 8,00,000 - Interest = - ₹ 84,000 = EBT = ₹7,16,,000
  • 19.
  • 20. Q. 1. Calculate the degree of operating leverage, degree of financial leverage and the degree of combined leverage for the following firms and interpret the results : P Q R Output (units) 2,50,000 1,25,000 7,50,000 Fixed Cost 5,00,000 2,50,000 10,00,000 Unit Variable Cost 5 2 7.50 Unit Selling Price 7.50 7 10.0 Interest Expenses 75,000 25,000 --- Q. 2. The following data relate to RT Ltd. : Earnings before interest and tax (EBIT) 10,00,000 Fixed Cost 20,00,000 Earnings Before Tax (EBT) 8,00,000 Required : Calculate combined leverage.
  • 21. Q. 3. X Ltd. details are as under : Sales (@ 100 per unit) 24,00,000; Variable Cost 50%;Fixed Cost 10,00,000 It has borrowed 10,00,000 @ 10% p.a. and its equity share capital is 10,00,000 (₹ 100 each). The company is in a tax bracket of 50%. Calculate : (a) Operating Leverage (b) Financial Leverage (c) Combined Leverage (d) Return on Equity (e) If the sales increases by ₹ 6,00,000 ; what will the new EBIT