In: Finance
Stock R has a beta of 1.7, Stock S has a beta of 0.6, the expected rate of return on an average stock is 11%, and the risk-free rate of return is 6%. By how much does the required return on the riskier stock exceed the required return on the less risky stock? Round your answer to two decimal places.
Solution: | ||||
Answer is 5.50 % | ||||
Working Notes: | ||||
The required return on the riskier stock exceed the required return on the less risky stock | ||||
Here , riskier stock is Stock R as it have higher beta than stock S | ||||
Expected rate of return on an average stock = Market rate = rm = 11% | ||||
Risk-free rate of return (rf) = 6% | ||||
Beta for Stock R (Br) = 1.70 | ||||
Beta for Stock S (Bs) = 0.60 | ||||
Return on stock R (Rr) = rf + (rm-rf) x Br | ||||
Return on stock R (Rr) =6% + (11% -6%) x 1.70 | ||||
Return on stock R (Rr) =6% + 5% x 1.70 | ||||
Return on stock R (Rr) =6% + 8.50% | ||||
Return on stock R (Rr) =14.50% | ||||
Return on stock S(Rs) = rf + (rm-rf) x Bs | ||||
Return on stock S(Rs) =6% + (11% -6%) x 0.60 | ||||
Return on stock S(Rs) =6% + 5% x 0.60 | ||||
Return on stock S(Rs) =6% + 3% | ||||
Return on stock S(Rs) = 9% | ||||
The required return on the riskier stock exceed the required return on the less risky stock | ||||
= Return on stock R - Return on stock S | ||||
=14.50% - 9% | ||||
=5.50% | ||||
Please feel free to ask if anything about above solution in comment section of the question. |