In: Finance
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?
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 |