Answer:
a.
7.00%
b.
5.96%
c.
1.20%
Explanation:
a.
First and foremost, we need to determine the yield to maturity on the bond, using a financial calculator as shown thus:
The financial calculator should be set to its default end mode before making the following inputs:
N=20(number of semiannual coupons in 10 years=10*2=20)
PMT=30(semiannual coupon=face value*coupon rate*/2=$1000*6%/2=$30)
PV=-1163.51(current price=$1,163.51)
FV=1000(face value of the bond=$1000)
CPT
I/Y=2.00%(semiannual yield=2%, annnual yield=2.00%*2=4.00%)
bond yield plus risk premium=bond yield(4.00%)+ risk premium(3%)
bond yield plus risk premium=7.00%
b.
In determining the midpoint range is the maximum plus minimum cost of equity divided by 2
Let us determine cost of equity using the Capital Asset Pricing Model and Constant Dividend Growth Model
cost of equity=risk-free rate+beta*(expected return on the market portfolio-risk-free rate)
risk-free rate=yield on Treasury bonds= 0.6%
beta=0.8
expected return on the market portfolio= 6%
cost of equity=0.6%+0.8*(6%-0.6%)
cost of equity=4.92%
cost of equity=expected dividend/share price+growth rate
expected dividend=last dividend*(1+growth rate)
expected dividend=$1.13*(1+4%)=$1.1752
share price= $39.17
growth rate=4%
cost of equity=($1.1752/$39.17)+4%
cost of equity=7.00%
midpoint range=(maximum cost of equity+minimum cost of equity)/2
midpoint rate=(7.00%+4.92%)/2
midpoint range=5.96%
c.
WACC=(weight of equity*cost of equity)+(weight of preferred stock*cost of preferred stock)+(weight of debt*after-tax cost of debt)
weight of equity= 20%
cost of equity=5.96%
weight of preferred stock=20%
cost of preferred stock=annual dividend/price
cost of preferred stock=$4.3/$135.26=3.18%
weight of debt=60%
aftertax cost of debt=4.00%*(1-34%)=2.64%
WACC=(20%*5.96%)+(20%*3.18%)*(60%*2.64%)
WACC=1.20%
