Suppose Maria 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 return associated with different combinations of stocks and bonds. Combination B с D Fraction of Portfolio in Diversified. Stocks (Percent) 0 25 50 75 100 Average Annual Return (Percent) 3.00 5.50 8.00 10.50 13.00 As the risk of Maria's portfolio increases, the average annual return on her portfolio Suppose Maria currently allocates 75% of her portfolio to a diversified group of stoc combination D. She wants to reduce the level of risk associated with her portfolio fr order to do so, she must do which of the following? Check all that apply. Standard Deviation of Portfolio Return. (Risk) (Percent) 0 falls 5 10 15 20 rises 5% of her portfolio to risk-free bonds; that is, she chooses Indard deviation of 15 to a standard deviation of 5. In 1

Essentials Of Investments
11th Edition
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Chapter1: Investments: Background And Issues
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Suppose Maria 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 return associated with different combinations of stocks and bonds.
Combination
A
B
C
Fraction of Portfolio in Diversified
Stocks
(Percent)
0
25
50
75
100
Average Annual
Return
(Percent)
3.00
5.50
8.00
10.50
13.00
As the risk of Maria's portfolio increases, the average annual return on her portfolio
Suppose Maria currently allocates 75% of her portfolio to a diversified group of stoc rises
combination D. She wants to reduce the level of risk associated with her portfolio fre
order to do so, she must do which of the following? Check all that apply.
falls
Standard Deviation of Portfolio Return
(Risk)
(Percent)
0
5
10
15
20
5% of her portfolio to risk-free bonds; that is, she chooses
ndard deviation of 15 to a standard deviation of 5. In
Transcribed Image Text:Suppose Maria 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 return associated with different combinations of stocks and bonds. Combination A B C Fraction of Portfolio in Diversified Stocks (Percent) 0 25 50 75 100 Average Annual Return (Percent) 3.00 5.50 8.00 10.50 13.00 As the risk of Maria's portfolio increases, the average annual return on her portfolio Suppose Maria currently allocates 75% of her portfolio to a diversified group of stoc rises combination D. She wants to reduce the level of risk associated with her portfolio fre order to do so, she must do which of the following? Check all that apply. falls Standard Deviation of Portfolio Return (Risk) (Percent) 0 5 10 15 20 5% of her portfolio to risk-free bonds; that is, she chooses ndard deviation of 15 to a standard deviation of 5. In
Suppose Maria currently allocates 75% of her portfolio to a diversified group of stocks and 25% of her portfolio to risk-free bonds; that is, she chooses
combination D. She wants to reduce the level of risk associated with her portfolio from a standard deviation of 15 to a standard deviation of 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
Sell some of her bonds and use the proceeds to purchase stocks
Place the entirety of her portfolio in bonds
Accept a lower average annual rate of return
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 Maria modifies her portfolio to contain 25% diversified stocks and 75% risk-free government bonds; that is, she chooses combination B. The
average annual return for this type of portfolio is 5.5%, but given the standard deviation of 5%, the returns will typically (about 95% of the time) vary
from a gain of
to a loss of
Transcribed Image Text:Suppose Maria currently allocates 75% of her portfolio to a diversified group of stocks and 25% of her portfolio to risk-free bonds; that is, she chooses combination D. She wants to reduce the level of risk associated with her portfolio from a standard deviation of 15 to a standard deviation of 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 Sell some of her bonds and use the proceeds to purchase stocks Place the entirety of her portfolio in bonds Accept a lower average annual rate of return 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 Maria modifies her portfolio to contain 25% diversified stocks and 75% risk-free government bonds; that is, she chooses combination B. The average annual return for this type of portfolio is 5.5%, but given the standard deviation of 5%, the returns will typically (about 95% of the time) vary from a gain of to a loss of
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