Respuesta :
Answer:
8.19%
Explanation:
Calculation to determine the company's WACC
First step is to calculate the CAPM rate of equity
Using this formula
CAPM rate of equity = Risk free rate + market risk premium * beta
Let plug in the formula
CAPM rate of equity=3.75%+(11.7%-3.75%)*0.93
CAPM rate of equity=11.14%
Second step is to calculate the DDM rate of equity
Using this formula
DDM rate of equity= Expected dividend next year/Price today + Growth rate
Let plug in the formula
DDM rate of equity=3/64.8+5.3%
DDM rate of equity=9.93%
Third step is to calculate the Cost of equity using this formula
Cost of equity = Average of CAPM and DDM
Let plug in the formula
Cost of equity=(11.14%+9.93%)/2
Cost of equity= 10.54%
Fourth Step is to calculate the Cost of debt (after tax)
Cost of debt (after tax) using financial calculator to compute YTM
PV -1047.5
FV 1000
PMT 1000*6.5%/2 32.5
N 22*2 44
Compute I 3.05%
YTM =3.05%*2 6.10%
Tax rate = 23%
Hence,
Rate of debt (after tax) = 6.1%*(1-23%)
Rate of debt (after tax) = 4.70%
Fifth step is to calculate the Rate of preferred stock using this formula
Rate of preferred stock = Annual dividend/Current price
Let plug in the formula
Rate of preferred stock=4.65/94.3
Rate of preferred stock=4.93
Sixth step is to calculate the Weight
Market value
Source
equity 240000*64.8= 15552000
debt 1047.5*9300= 9741750
preferred stock 8300*94.3=782690
Total 26076440
equity 15552000/26076440= 59.64%
debt 9741750/26076440=37.36%
preferred stock 782690/ 26076440=3.00%
Now let calculate compute WACC
WACC= weight * cost
equity 59.64%*10.54%=6.28%
debt 37.36%* 4.70% =1.76%
preferred stock3.00%*4.93%=0.15%
WACC = 8.19%
(6.28%+1.76%+0.15%)
Therefore the company's WACC is 8.19%