Question

Suppose you observe the following situation: Security Beta Expected Return A 1.16 .1137 B .92 .0984 Assume these securities are correctly priced. Based on the CAPM, what is the return on the market

Answer 1

Answer: 10.35%

Explanation:

The Capital Asset Pricing Model is used to calculate the expected return of a security with the expression

Expected return = Risk free rate + Beta ( Market return - risk free rate)

( Market return - risk free rate) is also known as the market premium and can be calculated by;

= $\frac{Expected return on A - Expected return on B}{Beta for A - Beta for B}$

= $\frac{0.1137 - 0.0934}{1.16 - 0.92}$

= 0.0153/0.24

= 6.375%

= 6.38%

Expected return A = Risk free rate + Beta A ( Market return - risk free rate)

0.1137 = Risk free rate + 1.16 (6.38%)

Risk free rate = 0.1137 - 1.16(6.38%)

Risk free rate = 3.97%

Market Expected return = Market Risk Premium + risk free rate

= 6.38% + 3.97%

= 10.35%