What is the return on the market portfolio if the risk-free rate is 5.3 percent. If a stock has a beta of 1.8 and a required rate of return of 12.0 percent and the market is in equilibrium?

In a market in equilibrium, the Capital Asset Pricing Model (CAPM) can be used to determine the return on the market portfolio. The formula is given by:

[ R_m = R_f + \beta(R_m - R_f) ]

Where ( R_m ) is the return on the market portfolio, ( R_f ) is the risk-free rate, and ( \beta ) is the stock's beta. Given the risk-free rate of 5.3 percent and a stock with a beta of 1.8 and a required return of 12.0 percent, we can rearrange the formula to solve for ( R_m ). Solving yields ( R_m ) = 11.5 percent, indicating the market portfolio's return.