The risk-free rate is 4%; the market risk premium is 7%. PPR Company’s stock has a beta of 2. The last dividend was $4. The dividend is expected to grow at 6%. What is the expected price in four years?
I have a financial calculator if there is a way to do this on there.
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As per CAPM model:
Re= Rf+(Rm-Rf)B
Re= required rate of return.
Rf= Risk-free rate.
Rm = return on the market.
Rm-Rf =Market Risk Premium.
B = Beta, systematic risk.
Re= 4%+7%×2 = 18%
As per Gordon Growth Model of Stock Valuation:
P4=D5/(Re-g)
Po= price of the share at time 4.
D5= expected dividend at time 5 = last dividend*(1+ growth rate)^5
= 4"(1.06)^5= 5.35
g= Growth rate = 6%
Re= cost of capital = 18%
P4=5.35/(18%-6%)
P4= $44.61 (Answer).
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