The stock of Big Joe's has a beta of 1.64 and an expected return of 13.30 percent. The risk-free rate of return is 5.8 percent. What is the expected return on the market?

Using the CAPM, we can calculate the required/expected 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 * rpM

Where,

rRF is the risk free rate

rpM is the market risk premium

We will first calculate the market risk premium using the required rate of return for stock, beta and risk free rate and plugging these values in the formula above.

0.1330 = 0.058 + 1.64 * rpM

0.1330 - 0.058 = 1.64 *rpM

0.075 = 1.64 * rpM

rpM = 0.075 / 1.64

rpM = 0.04573 or 4.573%

As we know that the beta for market is always equal to 1, we can calculate the rate of return for market as,

expected return on market = 0.058 + 1 * 0.04573

expected return on market = 0.10373 or 10.373%