Understanding
leverage
Should
a business increase or reduce the number of units it is
producing? Should it rely on borrowed money? The answer
depends upon how a change would affect risk and return.
Operating leverage refers to the impact of a change
in the level of output on the operating income. The extent
to which a business uses fixed costs (compared to variable
costs) in its operations is referred to as "operating
leverage." When operating leverage is used extensively,
there will either be an increase in profits or losses, depending
on the volume of sales.
The
degree of operating leverage can be measured with the help
of the following equation:
DOL = [c(p -v)] / [q(p - v) -f] divided by c/q
Where:
DOL = degree of operating leverage
p = price per unit
q = original quantity
c = change in quantity
v = variable cost per unit
f = total fixed costs
The above equation simplifies to:
DOL = q(p - v)divided by q(p - v) f
That
is: Degree of operating leverage = Sales revenue less
total variable cost divided by sales revenue less total
cost
With a lower level of operating leverage, the business shows
poor growth in profits as sales rise, but faces less risk
of loss as sales decline.
A Suggested New Way to Measure Operating Leverage
m = pq - (qv + f) divided by pq
Where: m = profit margin before interest and taxes, that
is, EBIT/sales revenue
The greater the value of this ratio, the lower the ratio
of the variable cost per unit to price per unit; so, the
greater the ratio, the higher the operating leverage.
Application of operating leverage
1. DOL measures the percentage change in EBIT, which results
from a change of one percent in the level of output.
2. DOL helps in measuring the business risk.
Financial
leverage is the name given to the impact on returns
of a change in the extent to which the firms assets
are financed with borrowed money.
The degree of financial leverage (DFL) is defined
as the percentage change in earnings per share [EPS]
that results from a given percentage change in earnings
before interest and taxes (EBIT), and is calculated as follows
DFL = Percentage change in EPS divided by Percentage
change in EBIT
This calculation produces an index number which if, for
example, is 1.43, means that a 100 percent increase in EBIT
would result in a 143 percent increase in earnings per share
DFL = [q(p - v) - f ]divided by [q(p -v) f-i]-d
/ [1-T]
Where:
DFL=degree of financial leverage.
p = price per unit
q = original quantity
v = variable cost per unit
f = total fixed costs
i=interest.
d=dividend paid.
T=tax payable.
Application
of financial leverage
1. DFL measures the percentage of change in earnings per
share that results from a change in one percent change in
EBIT.
2. It helps in measuring the financial risk of the company.
Measuring
Combined Leverage
Combined leverage is the product of operating leverage and
financial leverage.
That is: DTL=DOL*DFL
Where: DTL=degree of total leverage.
DOL=degree of operating leverage.
DFL=degree of financial leverage.
Application
of total leverage
1. Degree of total leverage measures the percentage change
in EPS that results from a change in one percent in output.
2. It assists in measuring the firms total risk.
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