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Question 1 Roger Corporation operating out of Mount Hope is seeking to determines it’s cost of...

Question 1

Roger Corporation operating out of Mount Hope is seeking to determines it’s cost of equity. Roger has an unlevered cost of capital of 10 percent, a tax rate of 25 percent, and expected EBIT of $8,500,000. Roger has $14,500,000 of Bond debt outstanding that pays a 8 percent coupon interest annually that is currently selling at par value. What is the cost of equity?

Question 2

Richard’s Enterprises expects its EBIT to be $138,000 every year forever. The firm can borrow at 9 percent. Richard currently has no debt, and its cost of equity is 9 percent. If the tax rate is 25 percent, what is the value of the firm? What will the value be if the company borrows $95,000 and uses the proceeds to repurchase shares?

Solutions

Expert Solution

Solution to question no. 1

Calculation of Total Capital
Amont in $
EBIT      8,500,000
Less: Tax @ 25%      2,125,000
After Tax Income      6,375,000
Cost of capital 10%
Total Capital (After tax Income / cost of capital)    63,750,000
Calculation of Cost of Equity
Amont in $
Bonds    14,500,000
Interest rate on Bonds 8%
Interest amount      1,160,000
EBIT      8,500,000
Less: Interest on Bonds      1,160,000
Income before tax      7,340,000
Less: Tax @25%      1,835,000
After Tax Income (available for equity)      5,505,000
Total Capital (as calculated above)    63,750,000
Less: Bonds    14,500,000
Equity Investment    49,250,000
Cost of Equity (Return for equity / Equity Investment) 11.18%

Cost of equity is 11.18%

Solution to question no. 2

Richard's EBIT = $138,000

Tax rate = 25%

Earning after tax = Earning before tax - Tax

= $138,000 - (25% of $138,000) = $138,000 - $34,500 = $103,500

Cost of equity = 9%

then, Value of Firm = Earning available for equity / Cost of equity %

= $103,500 / 9%

= $1,150,000 (Value of Firm)

What will the value be if the company borrows $95,000 and uses the proceeds to repurchase shares:

Richard's EBIT = $138,000

Tax rate = 25%

Use $95,000 for purchase of shares.

Interest rate = 9%

Earning Before Tax = EBIT - Interest

= $138,000 - (9% on 95,000) = $138,000 - $8,550 = $129,450

Earning after tax = Earning before tax - Tax

= $129,450 - (25% of $129,450) = $129,450 - $32,362.50 = $97,087.50

then, Value of Firm = Earning available for equity / Cost of equity %

= $ 97,087.50 / 9%

= $1,078,050 (Value of Firm)


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