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Aaron's Rentals has 58,000 shares of common stock outstanding at a market price of $36 a...

Aaron's Rentals has 58,000 shares of common stock outstanding at a market price of $36 a share. The common stock just paid a $1.64 annual dividend and has a dividend growth rate of 2.8 percent. There are 12,000 shares of 6 percent preferred stock outstanding at a market price of $51 a share. The preferred stock has a par value of $100. The outstanding bonds mature in 17 years, have a total face value of $750,000, a face value per bond of $1,000, and a market price of $1,011 each. The bonds pay 8 percent interest, semiannually. The tax rate is 34 percent. What is the firm's weighted average cost of capital?

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Expert Solution

1- cost of common stock (expected dividend/market price)+growth rate (1.685/36)+2.80% 7.48%
expected dividend 1.64*1.028 1.68592
market price 36
2.80%
2- cost of preferred stock = preferred dividend/market price 6/51 11.76%
3- before tax cost of bond (semiannual) = Using rate function in MS excel rate(nper,pmt,pv,fv,type) nper = 17*2 =34 pmt = 1000*4% = -40 pv = 1011 fv =-1000 type =0 RATE(34,-40,1011,-1000,0) 3.94%
annual rate 3.94*2 7.88
after tax cost of bond 7.88*(1-.34) 5.20
4- WAC
source market value = Units outstanding*market price market value weight = individual value/total value cost weight*cost
common stock 58000*36 2088000 0.603773585 7.48 4.516226
preferred stock 12000*51 612000 0.17696812 11.76 2.081145
bonds (750000/1000)*1011 758250 0.219258295 5.2 1.140143
total 3458250 WACC in % = sum of weight*cost 7.74

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