Consider the following case of Free Spirit Industries Inc :

Suppose Free Spirit Industries Inc. is considering a project that will require $400,000 in assets:

• The company is small, so it is exempt from the interest deduction limitation under the new tax law.
• The project is expected to produce earnings before interest and taxes (EBIT) of $45,000.
• Common equity outstanding will be 10,000 shares.
• The company incurs a tax rate of 25%."

If the project is financed using 100% equity capital, then Free Spirit Industries Inc.'s return on equity (ROE) on the project will be____________. In addition, Free Spirit's earnings per share (EPs) will be____________

Alternatively, Free Spirit Industries Inc.'s CFO is also considering financing the project with 50% debt and 50% equity capital. The interest rate on the company's debt will be 12%. Because the company will finance only 50% of the project with equity, it will have only 12, 500 shares outstanding. Free Spirit Industries Inc.'s ROE and the company's EPS will be_____________ if management decides to finance the project with 50% debt and 50% equity.

Typically, the use of financial average will make the probability distribution of ROIC:__________

Respuesta :

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