In: Finance
You find a stock priced at $27.35 with a beta of 1.5. The stock pays a dividend of $1.20 and is expected to be priced at $28.50 next year. If the risk-free rate is 2% and the market risk premium is 6%, would you buy the stock?
Step-1:Calculation of required rate of return | ||||||||||||
As per Capital Asset Pricing Model, | ||||||||||||
Required rate return | = | Risk Free return + Beta*Market risk premium | ||||||||||
= | 2.00% | + | 1.5*6% | |||||||||
= | 2.00% | + | 9.00% | |||||||||
= | 11.00% | |||||||||||
Step-2:Calculation of price of bond | ||||||||||||
Price of bond | = | (D1+P1)/(1+Ke) | ||||||||||
= | (1.20+28.50)/(1+0.11) | |||||||||||
= | $ 26.76 | |||||||||||
Where, | ||||||||||||
D1 | Dividend at the end of year 1 | = | $ 1.20 | |||||||||
P1 | Price at the end of year 1 | = | $ 28.50 | |||||||||
Ke | Required rate of return | = | 11.00% | |||||||||
As per dividend discount model, price of stock is the present value of dividend. | ||||||||||||
Since current price of stock is $ 27.35 which is more than $ 26.76, I would not buy the price at this price | ||||||||||||
as it is an overpriced stock. | ||||||||||||