Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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Textbook Question
Chapter 6, Problem 3CP
Abigail Grace has a $900,000 fully diversified portfolio. She subsequently inherits ABC Company common stock worth $100,000. Her financial adviser provided her with the following estimates: (LO 6-5)
Risk and Return Characteristics
Expected Monthly Returns
Standard Deviation of Monthly Returns
Original Portfolio 0.67% 237%
ABC Company 1.25 2.95
The correlation coefficient of ABC stock returns with the original portfolio returns is .40.
a. The inheritance changes Grace’s overall portfolio and she is deciding whether to keep the ABC stock. Assuming Grace keeps The ABC stock, calculate the:
I. Expected return of her new portfolio which includes the ABC stock.
ii. Covariance of ABC stock returns with the original portfolio returns.
iii. Standard deviation of her new portfolio which includes the ABC stock.
b. If Grace sells the ABC stock, she will invest the proceeds in risk-free government securities yielding 0.42% monthly. Assuming Grace sells the ABC stock and replaces it with the government Securities, calculate the:
i. Expected return of her new portfolio which includes the government securities.
ii. Covariance of the government security returns with the original portfolio returns.
iii. Standard deviation of her new portfolio which includes the government securities.
c. Determine whether the beta of her new portfolio, which includes the govern mdi securities, will he higher or lower than the beta of her original portfolio.
d. Based on conversations with her husband, Grace is considering selling the $100,000 of ABC stock and acquiring $100,000 of XYZ Company common stock instead. XYZ stock has the same expected return and standard deviation as ABC stock. Her husband comments. “It doesn’t matter whether you keep all of the- ABC stock or replace it with $100.000 of XYZ stock.” State whether her husband’s comment is correct or incorrect. Justify your response.
e. In a recent discussion with her financial adviser, Grace commented, “if I just don’t lose money in my portfolio, I will be satisfied.” She went on to say. “1 am more afraid of losing money than I am concerned about achieving high returns.” Describe one weakness of using standard deviation of returns as a risk measure for Grace.
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Abigail Grace has a $900,000 fully diversified portfolio. She subsequently inherits ABC Company common stock worth $100,000. Her financial adviser provided her with the following estimates:
Risk and Return Characteristics
Expected Monthly Returns
Standard Deviation of Monthly Returns
Original Portfolio
0.67%
2.37%
ABC Company
1.25
2.95
The correlation coefficient of ABC stock returns with the original portfolio returns in .40.
If Grace sells the ABC stock, she will invest the proceeds in risk-free government securities yielding .42% monthly. Assuming Grace sells the ABC stock and replaces it with the government securities, calculate the
Expected return of her new portfolio, which includes the government securities.
Covariance of the government security returns with the original portfolio returns.
Standard deviation of her new portfolio, which includes the government securities.
David owns a two-stock portfolio that invests in Happy Dog Soap Company (HDS) and Black Sheep Broadcasting (BSB). Three-quarters of David’s portfolio value consists of HDS’s shares, and the balance consists of BSB’s shares.
Each stock’s expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table:
Market Condition
Probability of Occurrence
Happy Dog Soap
Black Sheep Broadcasting
Strong
0.20
22.5%
31.5%
Normal
0.35
13.5%
18%
Weak
0.45
-18%
-22.5%
Calculate expected returns for the individual stocks in David’s portfolio as well as the expected rate of return of the entire portfolio over the three possible market conditions next year.
•
The expected rate of return on Happy Dog Soap’s stock over the next year is .
•
The expected rate of return on Black Sheep Broadcasting’s stock over the next year is .
•
The expected rate…
Anne holds a diversified $1,000,000 portfolio consisting of 20 stocks w/ $50,000 invested in each. The portfolios beta is 1.12. She plans to sell a stock with beta=0.90 and use the proceeds to buy new stock with beta=1.50. What will the portfolios new beta be if she replaces the old stock with the new one?
Chapter 6 Solutions
Essentials Of Investments
Ch. 6.5 - Prob. 1EQCh. 6.5 - In light of each firm’s exposure to the financial...Ch. 6 - Prob. 1PSCh. 6 - When adding a risky asset to a portfolio of many...Ch. 6 - A portfolio’s expected return is 12%, its standard...Ch. 6 - An investor ponders various allocations to the...Ch. 6 - The standard deviation of the market-index...Ch. 6 - Suppose that the returns on the stock fund...Ch. 6 - Use the rate-of-return data for the stock and bond...Ch. 6 - Prob. 8PS
Ch. 6 - Prob. 9PSCh. 6 - Prob. 10PSCh. 6 - Prob. 11PSCh. 6 - Prob. 12PSCh. 6 - Stocks offer an expected rate of return of 10%...Ch. 6 - Suppose that many stocks are traded in the market...Ch. 6 - You can find a spreadsheet containing annual...Ch. 6 - Assume expected returns and standard deviations...Ch. 6 - Prob. 17PSCh. 6 - Prob. 18PSCh. 6 - A project has a 0.7 chance of doubling your...Ch. 6 - Investors expect the market rate of return this...Ch. 6 - The following figure shows plots of monthly rates...Ch. 6 - Prob. 22PSCh. 6 - Prob. 23PSCh. 6 - Prob. 25CCh. 6 - Prob. 1CPCh. 6 - Prob. 2CPCh. 6 - Abigail Grace has a $900,000 fully diversified...Ch. 6 - Prob. 4CPCh. 6 - Prob. 5CPCh. 6 - Prob. 6CPCh. 6 - Prob. 7CPCh. 6 - Prob. 1WMCh. 6 - Following the procedures in the previous question,...Ch. 6 - Prob. 3WMCh. 6 - Prob. 4WM
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