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Say the optimal risky portfolio has a weight of 50% in VTI and 50% in VCIT....

  1. Say the optimal risky portfolio has a weight of 50% in VTI and 50% in VCIT. Portfolio A is the portfolio that is composed of 30% in VTI and 70% in VCIT, and Portfolio B is composed of 40% in VTI and 60% in VCIT. Which statement is False?
    a) Portfolio A has a lower expected return than Portfolio B
    b) Portfolio A has a lower volatility than Portfolio B
    c) Portfolio A has a lower Sharpe ratio than Portfolio B.                                  
    d) We cannot tell whether portfolio A or B has a higher Sharpe ratio.
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Answer #1

The below statement is false:

d) We cannot tell whether portfolio A or B has a higher Sharpe ratio.

the Sharpe ratio measures the performance of an investment compared to a risk-free asset, after adjusting for its risk. It is defined as the difference between the returns of the investment and the risk-free return, divided by the standard deviation of the investment.

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