Essentials Of Investments
11th Edition
ISBN: 9781260316193
Author: Bodie
Publisher: MCG
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Textbook Question
Chapter 6, Problem 5PS
The standard deviation of the market-index portfolio is 20%. Stock A has a beta of 1.5 and a residual standard deviation of 30%. (LO 6-5)
a. What would make for a larger increase in the stock’s variance: an increase of 0.15 in its beta or an increase of 3% (from 30% to 33%) in its residual standard deviation?
b. An investor who currently holds the market-index portfolio decides to reduce the portfolio allocation to the market mdcx to 90% and to invest 10% in stock A. Which of the changes in (a) will have a greater impact on the portfolios standard deviation?
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An investor can design a risky portfolio based on two stocks, A and B. The standard deviation of return on stock A is 25%
while the standard deviation on stock B is 15%. The correlation coefficient between the return on A and B is 0.40.
What is the standard deviation of return on the minimum variance portfolio? Do not enter % in the answer box. For
example, if your answer is 0.12345 or 12.345% then enter as 12.35 in the answer box.
The expected return and standard deviation of Stock A are 12% and 24%, respectively. The expected return and standard deviation of Stock B are 5% and 19%, respectively. The correlation between the two stocks is 0.4. The risk-free rate in the economy is 1%.
A. What is the Sharpe ratio for Stock A and Stock B?
Show your calculation steps briefly and clearly.
B. Calculate the optimal risky portfolio P*.
You do not need to show your calculation steps for this subquestion.
C. Now suppose that the correlation between the two stocks is -0.2 (instead of 0.4). Re-calculate the optimal risky portfolio P* and compare it to your answer in Part B. What do you observe?
You do not need to show your calculation steps for this subquestion.
D. Using the results above, briefly explain why investors might still consider investing in stocks with a (relatively) low Sharpe ratio as a part of their portfolio.
16.
There are two stocks with the following return and risk values. The correlation between A and B is 0.2.
al
Expected Standard
Return(%) Deviation(%)
Stock
A
5.5
10
B
7.5
17
What is the standard deviation of the minimum variance portfolio(MVP) that is
a)
formed by combining assets A and B? (That is, what are the weights of stock A and stock B in
MVP?)
b)
What is the expected return of the portfolio P that is formed by investing 50% on the
MVP and 50% on a stock that has an expected return of 10%?
c) Assume that the only assets available to investors are the risk free asset and the
portfolio P. The risk free rate is 2%. Assume also that there is $100 to be invested. What is the
expected return of a NEW portfolio that is formed by combining risk free rate with a weight of -0.5
and portfolio P with a weight of 1.5? What does a negative weight mean? Explain with one
sentence
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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