Hamlin Steel Company wishes to determine the value of CraftFoundry,a firm that it is considering acquiring for cash. Hamlin wishes to determine the applicable discount rate to use as an input to theconstant-growthvaluation model. Craft'sstock is not publicly traded. After studying the required returns of firms similar to Craft that are publiclytraded,Hamlin believes that an appropriate risk premium on Craft stock is about 9%.The risk-freerate is currently 3%.
Craft's dividend per share for each of the past 6 years is shown in the followingtable:
2019 $2.42
2018 $2.26
2017 $2.11
2016 $1.98
2015 $1.85
2014 $1.73
.
a. Given that Craft is expected to pay a dividend of $2.59
nextyear,determine the maximum cash price that Hamlin should pay for each share of Craft. (Hint:Round the growth rate to the nearest wholepercent.)
b. Describe the effect on the resulting value of Craftfrom:
(1)A decrease in its dividend growth rate of 2%from that exhibited over the
2014-2019period.
(2)A decrease in its risk premium to 8%.
(3)With a 11% required return, the maximum cash price that Hamlin should pay for each share of Craft is $.
Price is a function of the currentdividend,
▼
,
and therisk-freerate, and thecompany-specific
▼
risk premium
risk discount
risk-free rate
.
ForCraft,the lowering of the dividend growth rate
▼
increased
reduced
future cash flows resulting in
▼
an increase
a reduction
in share price. The decrease in the risk premium reflected
▼
an increase
a reduction
in risk leading to
▼
an increase
a reduction
in share price
A. if expected dividend next year is 2.59, then net present value = 9.44, DISCOUNTRATE = 9+3= 12%
Y1 | Y2 | Y3 | Y4 | Y5 | Y6 | Y7 | |
CASH FLOW | 1.73 | 1.85 | 1.98 | 2.11 | 2.26 | 2.42 | 2.51 |
PV OF CASH FLOW | 1.544643 | 1.474809 | 1.409325 | 1.340943 | 1.282385 | 1.226047 | 1.171584 |
TOTAL NPV | 9.449736 |
B. 1) Average growth rate in dividend eachyear is 7%, so 2% decrease will be 5% growth next year. So, Dividned on year 7 = 2,42*(1.05)= 2.54
so,
Y1 | Y2 | Y3 | Y4 | Y5 | Y6 | Y7 | |
CASH FLOW | 1.73 | 1.85 | 1.98 | 2.11 | 2.26 | 2.42 | 2.54 |
PV OF CASH FLOW | 1.544643 | 1.474809 | 1.409325 | 1.340943 | 1.282385 | 1.226047 | 1.149419 |
TOTAL NPV | 9.427571 |
2) a decrease in risk premium to 8% means discount rate is 8+3=11% a decrease in discount rate increases the present value of cash flow.
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