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8. Risk and return Suppose Dina is choosing how to allocate her portfolio between two asset classes: risk-free government bonds and a risky group of

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8. Risk and return Suppose Dina is choosing how to allocate her portfolio between two asset classes: risk-free government bonds and a risky group of diversified stocks. The following table shows the risk and retum associated with different combinations of stocks and bonds. Fraction of Portfolio in Diversified Stocks (Percent) Average Annual Return (Percent) 2.00 4,50 Standard Deviation of Portfolio Return (Risk) (Percent) Combination Buo s 7.00 12.00 As the risk of Dina's portfolio increases, the average annual return on her portfolio Suppose Dina currently allocates 25% of her portfolio to a diversified group of stocks and 75% of her portfolio to risk-free bonds: that is, she chooses combination B. She wants to increase the average annual return on her portfolio from 4.5% to 9.5%. In order to do so, she must do which of the following? Check all that apply. Sell some of her stocks and use the proceeds to purchase bonds Accept more risk Sell some of her stocks and place the proceeds in a savings account Sell some of her bonds and use the proceeds to purchase stocks The table uses the standard deviation of the portfolio's return as a measure of risk. A normal random variable, such as a portfolio's return, stay within two standard deviations of its average approximately 95% of the time. Homework (Ch 14) Stocks (Percent) Retum (Percent) (Risk) (Percent) Combination 2.00 4.50 50 7.00 9.50 12.00 100 As the risk of Dina's portfolio increases, the average annual return on her portfolio Suppose Dina currently allocates 25% of her portfolio to a diversified group of stocks and 75% of her portfolio to risk-free bonds; that is, she chooses combination B. She wants to increase the average annual return on her portfolio from 4.5% to 9.5%. In order to do so, she must do which of the following? Check all that apply Sell some of her stocks and use the proceeds to purchase bonds Accept more risk Sell some of her stocks and place the proceeds in a savings account Sell some of her bonds and use the proceeds to purchase stocks The table uses the standard deviation of the portfolio's return as a measure of risk. A normal random variable, such as a portfolio's return, stays within two standard deviations of its average approximately 95% of the time Suppose Dina modifies her portfolio to contain 754 diversified stocks and 25% free government bonds, that is she chooses combination D. The average annual return for this type of portfolio is 9.5% but given the standard deviation of the returns will typically (about 95% of the time) vary from a gain of to a loss of

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