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You have a portfolio that is equally invested in stock F with a beta of 0.92, stock G with a beta of 1.34, and the risk-free asset. What is the beta of your portfolio?

a. 0.84
b. 1.09
c. 1.21
d. 0.75
e. 0.80

User Gezzamondo
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1 Answer

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Final answer:

The beta of the portfolio, which is equally invested in two stocks and the risk-free asset, is calculated by averaging the betas of the two stocks. Since the risk-free asset has a beta of 0, the portfolio beta is 0.75.

Step-by-step explanation:

The student's question is about calculating the beta of a portfolio that is equally invested in a stock with a beta of 0.92, another stock with a beta of 1.34, and the risk-free asset. The risk-free asset has a beta of 0, given that it carries no risk and therefore has no covariance with the market portfolio. Since the investments in both stocks and the risk-free asset are equal, we can calculate the portfolio beta by taking the average of the two stock betas.

Portfolio beta = (Beta of stock F + Beta of stock G + Beta of risk-free asset) / 3
= (0.92 + 1.34 + 0) / 3
= 2.26 / 3
= 0.7533, which when rounded to two decimal places is 0.75.

The correct answer to the question, "What is the beta of your portfolio?" is d. 0.75.

User PrincelySid
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