Question

# 3. Five J Ventures Co. has and expected perpetual EBITDA of \$83,000 per year. It’s borrowing...

3. Five J Ventures Co. has and expected perpetual EBITDA of \$83,000 per year. It’s borrowing cost is8%; but has no debt. Its cost of unlevered equity is 13%.
a. If the tax rate is 35%, what is the value of the firm? (25 pts)
b. What will be value of the firm be if it borrows \$125,000 and uses the proceeds to repurchase shares?
c. What is the value of the equity of the levered firm?

please give formulas and full work.

EBITDA = \$83000

Since the firm has no debt

EBT = \$83000

Tax Rate = 35%

Tax amount = 35% * 83000 = 29050

Earnings after tax = \$83000 - \$29050 = \$53950

A) Value of the firm = Earnings after tax / cost of equity

= 53950 / 13%

= \$415000

B) Since the firm is all equity

Equity of the firm = \$41500

Debt infused = \$125000

Borrowing cost = 8%

EBITDA = \$83000

Interest on debt = 125000 * 8% = \$10000

EBT = \$83000 - \$10000 = \$73000

Tax = 73000 * 35% = \$25550

Earning after tax = \$47450

Since the funds are used to repurchase equity ,

New equity of the firm = \$415000 - \$125000 = \$290000

Debt = \$125000

Value of the levered firm = Equity + liabilities = \$290000 + \$125000 = \$415000

C) The value of equity of the levered firm = Earning After Tax / Cost of equity

= 47450 / 13%

= \$365000

Value of equity of the levered firm is \$365000

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