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15 August, 10:40

The expected rates of return on portfolios A and B are 11% and 14%, respectively. The beta of A is 0.8 and the beta of B is 1.5. The T-bill rate is currently 6%, while the expected rate of return on S&P500 index is 12%. The standard deviation of portfolio A is 10% annually, while that of B is 31%, and that of the index is 20%. If you currently hold a market index portfolio, would you choose to add either of these portfolios to your holdings? Discuss your answer.

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  1. 15 August, 11:05
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    Portfolio B has a higher return but more volatile stocks. However it depends on how the individual can tolerate risks.

    Explanation:

    Expected return = free return + Beta (Expected rate of return - risk free rate)

    Portfolio A

    6% + +.8*6%

    = 6%+4.8% = 10.8%

    Portfolio B

    6%+1.5 (6%)

    6%+9% = 15%

    It depends on different factors. Portfolio B has a higher return but more volatile stocks. However it depends on how the individual can tolerate risks.
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