In: Finance
Consider the following data on a one-factor economy. All portfolios are well-diversified. Portfolio A has a beta of 1.0 and an expected return of 11%, while another portfolio B has a beta of 0.75 and an expected return of 8%. The risk-free rate is 2%. In this scenario, an arbitrage opportunity exists and a strategy to take advantage of it would be:
To short B and use 3/4 of the proceeds to invest in A and borrow the other ¼ at the risk-free rate.
To borrow at the risk-free rate and use the proceeds to invest in A.
To short 3/4 of A and borrow 1/4 at the risk-free rate, and use the proceeds to invest in B.
To short B and use 3/4 of the proceeds to invest in A and lend the other ¼ at the risk-free rate.
To short B and use the proceeds to invest in A.