Submitted By:
Samarth Gupta
18MBAIB14
Financial Management
PSMBAIBTC0204
International Centre for Cross
Cultural Research & Human
Resource Management
What is Leverage?
 In general terms, leverage means the use of force
and effects to produce a more than normal results
from a given action
 In other words, leverage is the advantage generated
by using a lever
 Example, using a jack to lift a car
 In Finance, leverage is the use of fixed costs to
magnify the potential return to a firm
 2 types of fixed costs:
 fixed operating costs = rent, salaries, etc.
 fixed financial costs = interest costs from debt
What is Leverage?
 Leverage can magnify returns to common stockholders but can
also increase risk
 Management has almost complete control over this risk
introduced through the use of leverage (fixed costs)
 The degree in the use of leverage depends on management’s
attitude toward risk and the nature of its business, among
others.
 Three types of leverage with reference to the firm’s income
statement:
 Operating leverage,
 Financial leverage, and
 Combined (Total) leverage.
 Leverage is measured on the profitability range of operations.
What is Leverage?
Sales
Less: Total variable Costs
Contribution Margin
Less: Fixed Cost
Earnings Before Interest and Taxes (EBIT)
Less: Interest
Earnings Before Taxes
Less: Taxes
Earnings After Taxes (EAT)
Number of Shares Outstanding
Earnings Per Share
Operating
leverage
Financial
leverage
Operating Leverage
 The use of fixed operating
costs as opposed to variable
operating costs.
 A firm with relatively high
fixed operating costs will
experience more variable
operating income if sales
change.
Degree of Operating
Leverage (DOL)
 Operating leverage: by using
fixed operating costs, a small
change in sales revenue is
magnified into a larger change in
operating income.
 This “multiplier effect” is called
the degree of operating leverage.
DOLs = % change in EBIT
% change in sales
change in EBIT
EBIT
change in sales
sales
=
Degree of Operating Leverage
from Sales Level (S)
 If we have the data, we can use this formula:
Degree of Operating Leverage
from Sales Level (S)
DOLs =
Sales - Variable Costs
EBIT
Financial
Leverage
 The use of fixed-cost sources
of financing (debt, preferred
stock) rather than variable-
cost sources (common
stock).
Financial Risk
 The variability or uncertainty of
a firm’s earnings per share
(EPS) and the increased
probability of insolvency that
arises when a firm uses financial
leverage.
FIRMEBIT EPS
Stock-
holders
Degree of Financial
Leverage (DFL)
 Financial leverage: by using
fixed cost financing, a small
change in operating income is
magnified into a larger change
in earnings per share.
 This “multiplier effect” is called
the degree of financial
leverage.
DFL = % change in EPS
% change in EBIT
change in EPS
EPS
change in EBIT
EBIT
Degree of Financial
Leverage
=
Degree of Financial
Leverage
 If we have the data, we can use this
formula:
DFL = EBIT
EBIT - I
What does this tell us?
 If DFL = 3, then a 1% increase in
operating income will result in a
3% increase in earnings per share.
Stock-
holdersEBIT EPSSales
Based on the following information on
Levered Company, let us try to answer
these questions:
1) If sales increase by 10%, what should
happen to operating income?
2) If operating income increases by 10%,
what should happen to EPS?
Levered Company
Sales (100,000 units) $1,400,000
Variable Costs $800,000
Fixed Costs $250,000
Interest paid $125,000
Tax rate 34%
Common shares outstanding 100,000
EPS
Financial
leverage
Operating
Income
Sales
Operating
leverage
Levered Company
Degree of Operating
Leverage from Sales Level (S)
1,400,000 - 800,000
350,000
= 1.714
=
DOLs =
Sales - Variable Costs
EBIT
EPS
Operating
Income
Sales
Operating
leverage
10%
17.14%
Levered Company
Degree of Financial
Leverage
DFL = EBIT
EBIT - I
= 350,000
225,000
= 1.556
EPS
Financial
leverage
Operating
Income
Sales
10%
15.56%
Levered
Company
Sales (110,000 units) 1,540,000
Variable Costs (880,000)
Fixed Costs (250,000)
EBIT 410,000 ( +17.14%)
Interest (125,000)
EBT 285,000 (+26.67%)
Taxes (34%) (96,900)
Net Income 188,100
EPS $1.881 ( +26.67%)
Levered Company
10% increase in sales
Financial leverage

Financial leverage

  • 1.
    Submitted By: Samarth Gupta 18MBAIB14 FinancialManagement PSMBAIBTC0204 International Centre for Cross Cultural Research & Human Resource Management
  • 3.
    What is Leverage? In general terms, leverage means the use of force and effects to produce a more than normal results from a given action  In other words, leverage is the advantage generated by using a lever  Example, using a jack to lift a car  In Finance, leverage is the use of fixed costs to magnify the potential return to a firm  2 types of fixed costs:  fixed operating costs = rent, salaries, etc.  fixed financial costs = interest costs from debt
  • 4.
    What is Leverage? Leverage can magnify returns to common stockholders but can also increase risk  Management has almost complete control over this risk introduced through the use of leverage (fixed costs)  The degree in the use of leverage depends on management’s attitude toward risk and the nature of its business, among others.  Three types of leverage with reference to the firm’s income statement:  Operating leverage,  Financial leverage, and  Combined (Total) leverage.  Leverage is measured on the profitability range of operations.
  • 5.
    What is Leverage? Sales Less:Total variable Costs Contribution Margin Less: Fixed Cost Earnings Before Interest and Taxes (EBIT) Less: Interest Earnings Before Taxes Less: Taxes Earnings After Taxes (EAT) Number of Shares Outstanding Earnings Per Share Operating leverage Financial leverage
  • 6.
    Operating Leverage  Theuse of fixed operating costs as opposed to variable operating costs.  A firm with relatively high fixed operating costs will experience more variable operating income if sales change.
  • 7.
    Degree of Operating Leverage(DOL)  Operating leverage: by using fixed operating costs, a small change in sales revenue is magnified into a larger change in operating income.  This “multiplier effect” is called the degree of operating leverage.
  • 8.
    DOLs = %change in EBIT % change in sales change in EBIT EBIT change in sales sales = Degree of Operating Leverage from Sales Level (S)
  • 9.
     If wehave the data, we can use this formula: Degree of Operating Leverage from Sales Level (S) DOLs = Sales - Variable Costs EBIT
  • 10.
    Financial Leverage  The useof fixed-cost sources of financing (debt, preferred stock) rather than variable- cost sources (common stock).
  • 11.
    Financial Risk  Thevariability or uncertainty of a firm’s earnings per share (EPS) and the increased probability of insolvency that arises when a firm uses financial leverage. FIRMEBIT EPS Stock- holders
  • 12.
    Degree of Financial Leverage(DFL)  Financial leverage: by using fixed cost financing, a small change in operating income is magnified into a larger change in earnings per share.  This “multiplier effect” is called the degree of financial leverage.
  • 13.
    DFL = %change in EPS % change in EBIT change in EPS EPS change in EBIT EBIT Degree of Financial Leverage =
  • 14.
    Degree of Financial Leverage If we have the data, we can use this formula: DFL = EBIT EBIT - I
  • 15.
    What does thistell us?  If DFL = 3, then a 1% increase in operating income will result in a 3% increase in earnings per share. Stock- holdersEBIT EPSSales
  • 16.
    Based on thefollowing information on Levered Company, let us try to answer these questions: 1) If sales increase by 10%, what should happen to operating income? 2) If operating income increases by 10%, what should happen to EPS?
  • 17.
    Levered Company Sales (100,000units) $1,400,000 Variable Costs $800,000 Fixed Costs $250,000 Interest paid $125,000 Tax rate 34% Common shares outstanding 100,000
  • 18.
  • 19.
    Degree of Operating Leveragefrom Sales Level (S) 1,400,000 - 800,000 350,000 = 1.714 = DOLs = Sales - Variable Costs EBIT
  • 20.
  • 21.
    Degree of Financial Leverage DFL= EBIT EBIT - I = 350,000 225,000 = 1.556
  • 22.
  • 23.
    Sales (110,000 units)1,540,000 Variable Costs (880,000) Fixed Costs (250,000) EBIT 410,000 ( +17.14%) Interest (125,000) EBT 285,000 (+26.67%) Taxes (34%) (96,900) Net Income 188,100 EPS $1.881 ( +26.67%) Levered Company 10% increase in sales