Final answer:
The expected return for a stock with a beta of 1.16, when the risk-free rate is 4% and the expected market return is 13.5%, is 15.02% as calculated using the CAPM model.
Step-by-step explanation:
Risk-free rate of 4 percent and an expected:
The expected return for a stock with a beta of 1.16, given a risk-free rate of 4 percent and an expected return on the market of 13.5 percent, is calculated using the Capital Asset Pricing Model (CAPM). According to CAPM, the expected return on a stock is equal to the risk-free rate plus the stock's beta multiplied by the market risk premium (expected market return minus risk-free rate).
Let's calculate the expected return: Expected return = Risk-free rate + (Beta × (Market return - Risk-free rate)) Expected return = 4% + (1.16 × (13.5% - 4%)) Expected return = 4% + (1.16 × 9.5%) Expected return = 4% + 11.02% Expected return = 15.02%. Given that the risk-free rate is 4 percent, the expected return on the market is 13.5 percent, and the stock has a beta of 1.16: