Answer:
Return on equity (ROE) on the project will be 8.43%. In addition, Free Spirit's earnings per share (EPs) will be $3.375 per share
ROE and the company's EPS will be 7.875% if management decides to finance the project with 50% debt and 50% equity.
The use of financial average will make the probability distribution of ROIC $4.5
Explanation:
Calculation of When the company financed with 100% equity
Using this formula
ROE = (EBIT – Interest)(1-Tax Rate)/Equity
Let plug in the formula
When financed with 100% equity,
ROE = 45,000(1-25%)/400,000
ROE=45,000(0.75)/400,000
ROE=33,750/400,000
ROE=8.43
Calculation for the Free Spirit's earnings per share (EPs)
EPS = (45,000)(1-25%)/10,000
EPS=45,000*0.75/10,000
EPS=33,750/10,000
= $3.375 per share
Calculation of When the company financed with 50% Debt
50%×400,000=200,00
ROE = (45,000 – 200,000*12%)(1-25%)/200,000
ROE=21,000×0.75/200,000
ROE=15,750/200,000
ROE=
= 7.875%
EPS = Net Income/Outstanding shares
EPS=45,000/10,000
EPS.=4.5 per share
Hence,7.875 % and $4.5 respectively