Essentials Of Investments
Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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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
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Investing For Beginners (Stock Market); Author: Daniel Pronk;https://www.youtube.com/watch?v=6Jkdpgc407M;License: Standard Youtube License