Question

Assume that the CAPM holds. One stock has an expected return of 8% and a beta of 0.5. Another stock has an expected return of 13% and a beta of 1.5. Part 1 IB - Attempt 1/10 for 10 pts. What is the expected return on the market?

Answer 1

Answer:

10.5%

Explanation:

In this question, we apply the Capital Asset Pricing Model (CAPM) formula which is shown below

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

For one stock

8% = Risk-free rate of return + 0.5 × (Market rate of return - Risk-free rate of return)

8% = Risk-free rate of return + 0.5 × Market rate of return - 0.5 × Risk-free rate of return

8% =  0.5 × Risk-free rate of return + 0.5 × Market rate of return

8% ÷ 0.5 = Risk-free rate of return + Market rate of return

So, Risk-free rate of return + Market rate of return = 16

Risk-free rate of return = 16 - Market rate of return             - 1

For another stock

13% = Risk-free rate of return + 1.5 × (Market rate of return - Risk-free rate of return)

13% = Risk-free rate of return + 1.5 × Market rate of return - 1.5 × Risk-free rate of return

13% =  - 0.5 × Risk-free rate of return + 1.5 × Market rate of return        - 2

Now put these equations together

13% =  - 0.5 × (16 - Market rate of return)  + 1.5 × Market rate of return

13% = - 8 + 0.5 × Market rate of return + 1.5 × Market rate of return

So, Market rate of return would be

= 21 ÷ 2

= 10.5%