In: Accounting
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?
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)