In: Finance
Bob's Burgers has a beta of .8 and just paid a dividend of $1.2 that is expected to grow at 3.5%. If the risk-free rate is 3% and the market risk premium is 6%, what should be the price of the stock?
Information provided:
Risk free rate= 3%
Market risk premium= 6%
Beta= 0.8
Current dividend= $1.2
Dividend growth rate= 3.5%
First, the required return on a stock is calculated using the Capital Asset Pricing Model (CAPM)
The formula is given below:
Ke=Rf+[E(Rm)-Rf]
where:
Rf=risk-free rate of return which is the yield on default free debt like treasury notes
Rm=expected rate of return on the market.
Rm-Rf= Market risk premium
= Stock’s beta
Ke= 3% + 0.8*6%
= 3% + 4.80%
= 7.80%
Price of the stock is calculated with the help of the dividend discount model.
It is computed using the below formula:
Share price=D1/(r-g)
where:
D1=next dividend payment
r=interest rate
g=firm’s expected growth rate
Share price= $1.2*(1 + 0.035)/ 0.078 – 0.035
= 1.2420/ 0.0430
= $28.88.
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