Question

Divided Furniture Inc. has 11,000 bonds outstanding with a market price of $104 per bond. The firm also has 35,000 preferred shares outstanding and 45,000 common shares outstanding. Preferred stock and common stock are both expected to pay a year-end dividend of $2.20 per share. The current price per share of common stock is $36 per share. Preferred stock is priced at $52 per share. Preferred dividends do not grow and common stock dividends are expected to grow at a rate of 4 percent. The firm's tax rate is 40 percent. If the yield on the firm's bonds is 8%, what is the firm's weighted average cost of capital?

Answer 1

Answer:

Market Value of equity = Price of equity*Number of shares outstanding

Market Value of equity = 36*45000

Market Value of equity = 1620000

Market Value of Bond = Par value*bonds outstanding*%age of par

Market Value of Bond = 100*11000*1.04

Market Value of Bond = 1144000

Market Value of Bond of Preferred equity=Price*Number of shares outstanding

Market Value of Bond of Preferred equity=52*35000

Market Value of Bond of Preferred equity = 1820000

Market Value of firm = Market Value of Equity + Market Value of Bond+ Market Value of Preferred equity

Market Value of firm = 1620000+1144000+1820000

Market Value of firm = 4584000

Weight of equity = Market Value of Equity/Market Value of firm

Weight of equity = 1620000/4584000

Weight of equity = 0.3534

Weight of debt = Market Value of Bond/Market Value of firm

Weight of debt = 1144000/4584000

Weight of debt = 0.2496

Weight of preferred equity = Market Value of preferred equity/Market Value of firm

Weight of preferred equity = 1820000/4584000

Weight of preferred equity =0.397

Cost of equity

Price= Dividend in 1 year/(cost of equity - growth rate)

36 = 2.2/ (Cost of equity - 0.04)

Cost of equity% = 10.11

After tax cost of debt = cost of debt*(1-tax rate)

After tax cost of debt = 8*(1-0.4)

After tax cost of debt = 4.8

Cost of preferred equity

Cost of preferred equity = Preferred dividend/price*100

Cost of preferred equity = 2.2/(52)*100

Cost of preferred equity = 4.23

WACC = After tax cost of debt*W(D)+cost of equity*W(E)+Cost of preferred equity*W(PE)

WACC = 4.8*0.2496+10.11*0.3534+4.23*0.397

WACC = 6.45%