185k views
1 vote
the expected return on hilo stock is 15.40 percent while the expected return on the market is 12.5 percent. the beta of hilo is 1.51. what is the risk-free rate of return?

User Hyori
by
7.9k points

1 Answer

6 votes

Final answer:

The risk-free rate of return can be calculated using the Capital Asset Pricing Model (CAPM), which considers the expected return of an investment based on its beta and the market's risk-free rate of return. In this case, the risk-free rate of return is 6.8%.

Step-by-step explanation:

The risk-free rate of return can be calculated using the Capital Asset Pricing Model (CAPM). CAPM is a financial model that determines the expected return of an investment based on its beta and the market's risk-free rate of return.

The formula for calculating the expected return using CAPM is: Expected Return = Risk-free Rate + Beta * (Market Return - Risk-free Rate).

In this case, the expected return on Hilo stock is 15.40% and the expected return on the market is 12.5%. The beta of Hilo is 1.51.

Let's solve the equation using the given data:

15.40% = Risk-free Rate + 1.51 * (12.5% - Risk-free Rate)

15.40% = Risk-free Rate + 18.875% - 1.51 * Risk-free Rate

15.40% - 18.875% = -0.51 * Risk-free Rate

-3.475% = -0.51 * Risk-free Rate

Risk-free Rate = -3.475% / -0.51

Risk-free Rate = 6.8%

User Lasar
by
8.5k points