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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
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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