Answer: Price of stock at year end =$53
Explanation:
we first compute the Expected rate of return using the CAPM FORMULAE that
Expected return =risk-free rate + Beta ( Market return - risk free rate)
Expected return=6% + 1.2 ( 16%-6%)
Expected return= 0.06 + 1.2 (10%)
Expected return=0.06+ 0.12
Expected return=0.18
Using the formulae Po= D1 / R-g to find the growth rate
Where Po= current price of stock at $50
D1= Dividend at $6 at end of year
R = Expected return = 0.18
50= 6/ 0.18-g
50(0.18-g) =6
9-50g=6
50g=9-6
g= 3/50
g=0.06 = 6%
Now that we have gotten the growth rate and expected return, we can now determine the price the investors are expected to sell the stock at the end of year.
Price of stock = D( 1-g) / R-g
= 6( 1+0.06)/ 0.18 -0.06
=6+0.36/0.12
=6.36/0.12= $53
