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Based on current dividend yields and expected capital gains, the expected rates of return on portfolios A and B are 11% and 14%, respectively. The beta of A is 0.8, while that of B is 1.5. The T-bill rate is currently 6%, whereas the expected rate of return of the S&P 500 index is 12%. The standard deviation of portfolio A is 10% annually, that of B is 31%, and that of the S&P 500 index is 20%.
a. If you currently hold a market-index portfolio, would you choose to add either of these portfolios to your holdings? Explain.
b. If instead you could invest only in T-bills and one of these portfolios, which would you choose? Why?
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