8. Risk and return Suppose Frances 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 D E Fraction of Portfolio in Diversified Stocks (Percent) 0 25 50 75 100 Average Annual Return (Percent) 2.00 4.50 7.00 9.50 12.00 As the risk of Frances's portfolio increases, the average annual return on her portfolio Standard Deviation of Portfolio Return (Risk) (Percent) 0 Accept more risk Sell some of her bonds and use the proceeds to purchase stocks Sell some of her stocks and place the proceeds in a savings account Sell some of her stocks and use the proceeds to purchase bonds 5 10 15 20 Suppose Frances 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.
8. Risk and return Suppose Frances 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 D E Fraction of Portfolio in Diversified Stocks (Percent) 0 25 50 75 100 Average Annual Return (Percent) 2.00 4.50 7.00 9.50 12.00 As the risk of Frances's portfolio increases, the average annual return on her portfolio Standard Deviation of Portfolio Return (Risk) (Percent) 0 Accept more risk Sell some of her bonds and use the proceeds to purchase stocks Sell some of her stocks and place the proceeds in a savings account Sell some of her stocks and use the proceeds to purchase bonds 5 10 15 20 Suppose Frances 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.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:8. Risk and return
Suppose Frances 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
с
D
E
Fraction of Portfolio in Diversified
Stocks
(Percent)
0
25
50
75
100
Average Annual
Return
(Percent)
2.00
4.50
7.00
9.50
12.00
As the risk of Frances's portfolio increases, the average annual return on her portfolio
Standard Deviation of Portfolio Return
(Risk)
(Percent)
0
Accept more risk
Sell some of her bonds and use the proceeds to purchase stocks
Sell some of her stocks and place the proceeds in a savings account
Sell some of her stocks and use the proceeds to purchase bonds
5
10
15
20
Suppose Frances 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.

Transcribed Image Text: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 Frances modifies her portfolio to contain 75% diversified stocks and 25% risk-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 15%, the returns will typically (about 95% of the
time) vary from a gain of
to a loss of
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