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The Tating Company has 2,500 bonds outstanding that are selling for $1,160 each and has a floatation cost of 2%, the bond pays 7% coupon paid semiannually for 30 years

Finance Jan 14, 2021

The Tating Company has 2,500 bonds outstanding that are selling for $1,160 each and has a floatation cost of 2%, the bond pays 7% coupon paid semiannually for 30 years . The company also has 5,000 shares of preferred stock at a market price of $30 each and floatation cost of 3 dollars with par value of 90 dollars and pay dividends of 10%. The common stock is priced at $26 a share undervalued by 2 dollars and there are 36,000 shares outstanding last dividends was 3 dollars and growth rate is 5% Tax rate is 30% What is the after tax cost of debt What is the cost of preferred stock What is the cost of common stock What is the weight of DEBT ,P.S,C.S What is the firm's weighted average cost of capital?

Expert Solution

MV of equity=Price of equity*number of shares outstanding
MV of equity=26*36000
=936000
MV of Bond=Par value*bonds outstanding*%age of par
MV of Bond=1000*2500*1.16
=2900000
MV of Preferred equity=Price*number of shares outstanding
MV of Preferred equity=30*5000
=150000
MV of firm = MV of Equity + MV of Bond+ MV of Preferred equity
=936000+2900000+150000
=3986000
Weight of equity = MV of Equity/MV of firm
Weight of equity = 936000/3986000
W(E)=0.2348
Weight of debt = MV of Bond/MV of firm
Weight of debt = 2900000/3986000
W(D)=0.7275
Weight of preferred equity = MV of preferred equity/MV of firm
Weight of preferred equity = 150000/3986000
W(PE)=0.0376
Cost of equity
As per DDM
Price-flotation cost = recent dividend* (1 + growth rate )/(cost of equity - growth rate)
24-2 = 3 * (1+0.05) / (Cost of equity - 0.05)
Cost of equity% = 18.13
Cost of debt
                                         K = Nx2
Bond Price *(1-flotation %) =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                                          k=1
                                         K =30x2
1160*(1-0.02) =∑ [(7*1000/200)/(1 + YTM/200)^k]     +   1000/(1 + YTM/200)^30x2
                                          k=1
YTM = 6.0103101302
After tax cost of debt = cost of debt*(1-tax rate)
After tax cost of debt = 6.0103101302*(1-0.3)
= 4.21
cost of preferred equity
cost of preferred equity = Preferred dividend/price-flotation cost*100
cost of preferred equity = 9/(27-3)*100
=33.33
WACC=after tax cost of debt*W(D)+cost of equity*W(E)+Cost of preferred equity*W(PE)
WACC=4.21*0.7275+18.13*0.2348+33.33*0.0376
WACC =8.57%
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