Question

Risk and return

Suppose Yvette 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	Fraction of Portfolio in Diversified Stocks	Average Annual Return	Standard Deviation of Portfolio Return (Risk)
	(Percent)	(Percent)	(Percent)
A	0	2.00	0
B	25	4.50	5
C	50	7.00	10
D	75	9.50	15
E	100	12.00	20

If Yvette reduces her portfolio's exposure to risk by opting for a smaller share of stocks, he must also accept a   average annual return.

Suppose Yvette 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 bonds and use the proceeds to purchase stocks

Sell some of her stocks and place the proceeds in a savings account

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 Yvette 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   .

Answer 1

Solution

1.If Yvette reduces her portfolio's exposure to risk by opting for a smaller share of stocks, he must also accept a lower / lesser average annual return

2.If Yvette wants to increase the average annual return on her portfolio from 4.5% to 9.5% then she has to :

Sell some her bonds and use the proceeds to purchase stocks

3.Given that the standard deviation of  15% in the returns when the combination D is chosen.

So,the returns will typically vary from a gain of 24.50% to a loss of 5.5%

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Answer 2

Correct: As the risk of Eleanor's portfolio increases, the average annual return on her portfoliorises   .

Correct: Suppose Eleanor 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 place the proceeds in a savings account

Sell some of her stocks and use the proceeds to purchase bonds

Accept more risk

Sell some of her bonds and use the proceeds to purchase stocks

Correct: Suppose Eleanor 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 of39.5%    to a loss of-20.5%   .