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
=
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?