150k views
1 vote
Stock R has a beta of 1.2, Stock S has a beta of 0.75, the required return on an average stock is 13%, and the risk-free rate of return is 7%. By how much does the required return on the riskier stock exceed the required return on the less risky stock

1 Answer

2 votes

Answer:

The required return on the riskier stock (R) exceed the required return on

the less risky stock (S) by = 2.7%

Step-by-step explanation:

Using the CAPM, we can calculate the required rate of return on a stock. This is the minimum return required by the investors to invest in a stock based on its systematic risk, the market's risk premium and the risk free rate.

The formula for required rate of return under CAPM is,

r = rRF + Beta * (rM - rRF)

Where,

rRF is the risk free rate

rM is the market return or return on average stock

r of stock R = 0.07 + 1.2 * (0.13 - 0.07)

r of stock R = 14.2%

r of stock S = 0.07 + 0.75 * (0.13 - 0.07)

r of stock S = 11.5%

R is the riskier stock because it has a higher beta than S which is the less riskier stock.

The required return on the riskier stock (R) exceed the required return on

the less risky stock (S) by = 14.2 - 11.5 = 2.7%

User Kevin Coulombe
by
5.7k points