# Arbitrage Opportunity that Exists Investing

5) If the expected returns for the risk-free asset and a risky asset are 4% and 17% respectively, what percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to form a portfolio with an expected return of 0.11?

6) Discuss how the CAPM might be used in capital budgeting decisions and utility rate decisions.

7) Stocks A and B have the following characteristics:

Stock Expected Return Standard Deviation

A 10% 5%

B 15% 10%

Correlation = -1

Suppose that it is possible to borrow at the risk-free rate. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from Stocks A and B and make use of the fact that the correlation is -1)

8) The index model for stock B has been estimated with the following result:

RB = 0.01 + 1.1RM + eB

If σM = 0.2 and R2B = 0.5 what is the standard deviation of the return on stock B?

9) Security A has a beta of 1.0 and an expected return of 12%. Security B has a beta of 0.75 and an expected return of 11%. The risk-free rate is 6%. Explain the arbitrage opportunity that exists; explain how an investor can take advantage of it. Give specific details about how to form the portfolio, what to buy and what to sell.

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