Operating and Financial Leverage : Operating and Financial Leverage
Risks of a Business Entity : Risks of a Business Entity Operating Risk
It arises due to fixed component in the operations of a business.
Financial Risk
Arises due to fixed financial charges resulting from financing decision of a firm
Measuring the operating risk : Measuring the operating risk
Operating Leverage : Operating Leverage Degree of Operating Leverage
= % change in EBIT = 78% = 1.56
%Change in Sales 50%
Q(P-V) = EBIT + fixed Cost = Contribution
Q(P-V)-F EBIT EBIT
Financial Leverage : Financial Leverage Degree of Financial Leverage
= %change in EPS = 89.74 = 1.15
%change in EBIT 77.78
= EBIT
EBIT-I-(PD/1-t)
Slide 6 : EBIT = Q(P-V)-F
Let change in EBIT be ?EBIT
?EBIT = ?Q(P-V)
% Change in EBIT = ?EBIT/EBIT
Let ?Q be the change in sales
%change in Sales = ?Q/Q
Degree of Operating Leverage =
% Change in EBIT
%Change in Sales
= ?Q(P-V)/ Q(P-V)-F = Q(P-V) = Contribution
?Q/Q Q (P-V)-F EBIT
Slide 7 : Degree of Financial Leverage
= % change in EPS
% Change in EBIT
% Change in EPS
= ? EPS/EPS
%Change in EBIT = ?EBIT/EBIT
EPS = EBIT-I(1-t)- DP
N
? EPS = ?EBIT(1-t) /N
%Change in EPS = ?EBIT(1-t) /N
[EBIT-I](1-t)- DP
N
DFL = ?EBIT(1-t) /N ÷ ?EBIT
[ EBIT-I](1-t)- DP /N EBIT
On simplification
DFL = EBIT
[ EBIT-I]- DP /1-t
Combined Leverage(Total Risk) : Combined Leverage(Total Risk) Combined leverage = DOL X DFL
Exercise : Exercise
Leverage-Indifference Points : Leverage-Indifference Points Hi-grade Regulator company currently has 100,000 shares of common stock outstanding with a market price of $60 per share. It also has $2 million 6 percent bonds. The company is considering a $3 million expansion program that it can finance with all common stock at $60 a share(option 1), straight bonds at 8 percent interest(option 2), preferred stock at 7 percent(option 3), and half common stock at $60 per share and half 8 percent bonds(option 4).
For an expected EBIT level of $1 million after the expansion program, calculate the earnings per share for each alternative methods of financing, assume a tax rate of 50 percent.
Construct an EBIT-EPS chart. Calculate the indifference point between alternatives. What is your interpretation
Slide 11 :
Thanks for Listening : Thanks for Listening