Carl plans to add one of two alternative stocks to his portfolio. Stock A has a correlation of 0.70 with his portfolio and Stock B has a correlation of 0.10. Both stocks have the same standard deviation of returns. Based on this information, relative to Stock A, Stock B will result in: less total risk and more active risk for the portfolio b. less total risk and less active risk for the portfolio C. more total risk and less active risk for the portfolio d. more total risk and more

Carl plans to add one of two alternative stocks to his portfolio. Stock A has a correlation of 0.70 with his portfolio and Stock B has a correlation of 0.10. Both stocks have the same standard deviation of returns. Based on this information, relative to Stock A, Stock B will result in: less total risk and more active risk for the portfolio b. less total risk and less active risk for the portfolio C. more total risk and less active risk for the portfolio d. more total risk and more

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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An analyst who believes in the Treynor Black Model has identified one active stock, stock A, which he/she wants to combine with the passive Market Index M to form their firm's optimal risky portfolio. A regression of the excess returns of stock A on the excess returns of the market index M, have discovered that stock A's alpha is 4%, its beta is 2.0, and the residual standard deviation of the error term for stock A is 18%. The standard deviation for the market index M is 14%, the expected return on M is 11%, the risk-free rate of return is 3%, and the expected return on stock A is 22%. What is the Sharpe Ratio for the optimal risky portfolio formed by the optimal combination of the active stock A with the passive market index M? Note that the Sharpe Ratio is usually expressed as a decimal.
Which of the following is most likely to be true for a portfolio of 40 randomly selected stocks? a. The riskiness of the portfolio is the same as the riskiness of each stock if it was held in isolation. b. The beta of the portfolio is less than the average of the betas of the individual stocks. c. The beta of the portfolio is equal to the average of the betas of the individual stocks. d. The beta of the portfolio is larger than the average of the betas of the individual stocks. e. The riskiness of the portfolio is greater than the riskiness of each of the stocks if each was held in isolation.
If an investor that owns a portfolio with 3 stocks increases their portfolio to 30 stocks, which of the following is MOST LIKELY to happen? Select one: a. risk will increase b. risk would decrease c. Systematic risk would increase d. return would increase
Clay Jensen is evaluating whether to purchase one of 2 different stocks and is considering the investment in isolation (he has no other investments). Clay believes stock A has equal probabilities of returning 6%, -10%, or 22%. He believes stock B has equal probabilities of returning 9%, -20%, or 35%. The risk-free rate is 4%. What is the appropriate measure to compare these two stocks and which investment should he choose?
1. Stock Y has a beta of 1.2 and an expected return of 11.1 percent. Stock Z has a beta of .8 and an expected return of 7.85 percent. If the risk-free rate is 2.4 percent and the market risk premium is 7.2 percent, the reward-to-risk ratios for stocks Y and Z are ____ and ____ percent, respectively. Since the SML reward-to-risk is ____ percent, Stock Y is ____(undervalued/ overvalued) and Stock Z is ____(undervalued/ overvalued).
When the return on the market portfolio goes up by 5%, the return on Stock A goes up onaverage by 8% and when the market portfolio return goes down by 5%, Stock A return goes down by 6%.a) Calculate the beta of this stock.b) Assuming that CAPM holds, calculate the required rate of return on this stock by assigning values forthe risk-free rate and the expected return on the market portfolio depending on your own choice. (The useof the same risk-free rate and market return by different students will be treated as a cheat attempt).
If an investor that owns a portfolio with 3 stocks increases their portfolio to 30 stocks, which of the following is MOST LIKELY to happen? Select one: a. risk would increase b. the Sharpe ratio would increase c. return would decrease d. Sharpe would decrease
Portfolio A has an expected return of 15% and a Sharpe ratio of 0.42. Portfolio B has an expected return of 20% and a Sharpe ratio of 0.37. Portfolio C has an expected return of 25% and a Sharpe ratio of 0.31. Among A, B, and C, rational risk-averse investors prefer to include which one into her complete portfolio? O There is not enough information to choose among A, B, C. O Portfolio B O Portfolio C O Portfolio A
For a risk-averse investor, which of the following portfolios would be preferred? Portfolio B, with a Sharpe Ratio of 3. Portfolio A, with a Sharpe Ratio of 4. Portfolio D, with a Sharpe Ratio of 1. Portfolio C, with a Sharpe Ratio of 2.
A stock with a beta of more than 1.0, when added to a portfolio with a beta of 1.0, will Select one: a. Decrease portfolio’s beta b. Decrease risk of stock c. Increase portfolio’s beta d. None of the above e. Increase risk of stock
Which one of the following statements is correct? When more stocks are added into a portfolio, the beta of that portfolio will a) always decrease. The beta of ABC and XYZ is 1.95 and 0.88, respectively. This information b) implies that ABC has less market risk than XYZ. A stock has a beta of 1.5. It implies that this stock has lower total risk than c) the overall market. The beta of ABC and XYZ is 1.95 and 0.88, respectively. This information implies that ABC has higher total risk than XYZ. The risk premium investors demand from a stock will increase as the beta of the stock increases.
There are two securities: Stock G and stock H. Stcok G has expected return of 12% and a standard deviation of 20% while stock H has an expected return of 3.5% and a standard deviation of 4%. The correlation coefficient between the two securities is 0.35. The risk free rate is 3%. 1. What is the weight of stock G in the optimal risky portfolio ? 2. What does a negative weight in stock H mean?

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