Question

The risk-free rate is 6% and the expected rate of return on the market portfolio is 13%. a. Calculate the required rate of return on a security with a beta of 1.25. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) b. If the security is expected to return 16%, is it overpriced or underpriced

Answer 1

a) The required rate of return is 14.75%

b) The expected return on this stock is 16% which is more than its required rate of return 14.75%, thus it is underpriced.

Step-by-step explanation:

a)

Using the SML equation, we can calculate the required rate of return (r) of a stock.

r = rFR + β * (rM - rFR)

r = 6% + 1.25 * (13% - 6%)

r = 0.1475 or 14.75%

b)

The SML shows the return that is required on a security based on the risk is carries. Using SML we calculate the required rate of return which is the percentage return that investors require a security to provide.

If the expected return is greater than the required rate of return which means that security is expected to provide more than is required then the security is underpriced.

The expected return on this stock is 16% which is more than its required rate of return 14.75%, thus it is underpriced.