In: Finance
You are considering a stock A that pays a dividend of $1. The beta coefficient of A is 1.3. The risk free return is 6%, while the market average return is 13%.
a.What is the required return for Stock A?
b. If A is selling for $10 a share, is it a good buy if you expect earnings and dividends to grow at 6%?
a. | Required return for Stock A | 15.10% | ||||||||||
Working: | ||||||||||||
As per Capital Asset Pricing model, | ||||||||||||
Required return | = | Risk free rate | + | Beta | * | (Market return - Risk free return) | ||||||
= | 6% | + | 1.3 | * | (13%-6%) | |||||||
= | 15.10% | |||||||||||
b. | Yes | |||||||||||
Working: | ||||||||||||
As per dividend discount model, current price of stock is the present value of future dividends which is calculated as follows: | ||||||||||||
Price of stock | = | D0*(1+g)/(Ke-g) | Where, | |||||||||
= | 1.00*(1+0.06)/(0.1510-0.06) | D0 | Current dividend | = | $ 1.00 | |||||||
= | $ 11.65 | g | Growth rate in dividend | = | 6% | |||||||
Ke | Discount rate | = | 15.10% | |||||||||
Current value of stock A is $ 11.65.But, it is selling at $ 10.It means that share is undervalued and it is good time to buy such stock. | ||||||||||||