Which of the following statements is CORRECT? a. A large portfolio of randomly selected stocks will always have a standard deviation of returns that is less than the standard deviation of a portfolio with fewer stocks, regardless of how the stocks in the smaller portfolio are selected. b. Diversifiable risk can be reduced by forming a large portfolio, but normally even highly-diversified portfolios are subject to market (or systematic) risk. C. A large portfolio of randomly selected stocks will have a standard deviation of returns that is greater than the standard deviation of a 1-stock portfolio if that one stock has a beta less than 1.0. d. A large portfolio of stocks whose betas are greater than 1.0 will have less market risk than a single stock with a beta = 0.8. e. If you add enough randomly selected stocks to a portfolio, you can completely eliminate all of the market risk from the portfolio.

Which of the following statements is CORRECT? a. A large portfolio of randomly selected stocks will always have a standard deviation of returns that is less than the standard deviation of a portfolio with fewer stocks, regardless of how the stocks in the smaller portfolio are selected. b. Diversifiable risk can be reduced by forming a large portfolio, but normally even highly-diversified portfolios are subject to market (or systematic) risk. C. A large portfolio of randomly selected stocks will have a standard deviation of returns that is greater than the standard deviation of a 1-stock portfolio if that one stock has a beta less than 1.0. d. A large portfolio of stocks whose betas are greater than 1.0 will have less market risk than a single stock with a beta = 0.8. e. If you add enough randomly selected stocks to a portfolio, you can completely eliminate all of the market risk from the portfolio.

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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Identify the FALSE statement a. Where two securities are perfectly positively correlated, there is no reduction in unsystematic risk through diversification. b. Portfolio theory, as initially developed by Markowitz (1952), assumes that the returns from investments are normally distributed. c. Beta is calculated by finding the covariance between the return on the asset and the return on the market and dividing it by the variance of the return on the market. d. A well-diversified portfolio should have a beta significantly less than one.
Some assumptions of Markowitz Portfolio Theory are said to be : (a) Investors consider each investment alternative as being presented by a probability distribution of expected returns over some holding period. (b) Investors estimate the return of the portfolio on the basis of the variability of expected Risk. (c) Investors base decisions solely on expected return and risk, so their utility curves are a function of expected return and the expected variance (or standard deviation)of returns only. (d) Investors minimize one-period expected utility, and their utility curves demonstrate diminishing marginal utility of wealth. a. B & C only b. B , C and D only c. All of the above d. A ,C and D only
Which of the following statements is correct concerning a mean-variance efficient portfolio of risky assets in a world where there is also a risk-free asset? OA. It will be impossible to form a different portfolio yielding a lower level of risk unless the portfolio also earns a lower return, O B. Risk averse investors will only choose to invest in the market portfolio (M) regardless of the risk-free rate. OC. The portfolio will always achieve the maximum possible returns. O D. The portfolio will always be inside the feasible set.
Which of the following statements regarding non-systematic risk, systematic risk and total risk is/are true? Select one or more:a. As the number of assets within a portfolio increases, the total risk of a portfolio will go to zero.b. A riskfree asset must have zero non-systematic risk.c. A well diversified portfolio must have zero systematic riskd. Under the Capital Asset Pricing Model (CAPM).an asset with zero systematic risk must have expected return equal to the riskfree rate.
When seeking to diversify and eliminate unsystematic risk in your portfolio, do you want stocks whose movements have high correlation (i.e. move together) or low correlation (i.e. don't move togeter). a) High correlation b) Low correlation
Which of the following statements about the minimum-variance portfolio of all risky securities is valid? (Assume short sales are allowed.) Explain.a. Its variance must be lower than those of all other securities or portfolios.b. Its expected return can be lower than the risk-free rate.c. It may be the optimal risky portfolio.d. It must include all individual securities.
Which ones of the following statements about portfolio beta are correct? O 1. If portfolio beta is between 0 and 1, then the portfolio expected return is between risk-free rate and the market expected return. O 2. If the return of an asset has zero correlation with the market portfolio returns, the beta of this asset must be zero. O 3. A portfolio that has the same portfolio weights as the market portfolio should have a beta of 1. O 4. Diversification is not a way to reduce portfolio beta. O 5. If two portfolios have the same portfolio weights, but different dollar values, their betas are the same.
Which of the following statements is CORRECT? a. The higher the correlation between the stocks in a portfolio, the lower the risk inherent in the portfolio. b. An investor can eliminate almost all risk if he or she holds a very large and well diversified portfolio of stocks. c. Once a portfolio has about 40 stocks, adding additional stocks will not reduce its risk by even a small amount. d. An investor can eliminate almost all diversifiable risk if he or she holds a very large, well-diversified portfolio of stocks. e. An investor can eliminate almost all market risk if he or she holds a very large and well diversified portfolio of stocks.
Suppose that stocks are exposed to systematic risks only so that stock i has the following return structure: Ri,t = mį + Si,t where mi is the average return, and si,t is the systematic risk. When we construct a portfolio including more and more stocks, which of the following would happen? The portfolio volatility gradually decreases and eventually converges to a certain positive value. ● The portfolio volatility gradually decreases and eventually converges to zero. The portfolio volatility stays unchanged.
A portfolio that is positively correlated with the market portfolio but not particularly sensitive to market risk factors would have a beta that is A. Equal to zero. B. Equal to one. C. Less than zero. D. Between 0 and 1. E. Greater than 1.
Which of the following statements is most correct? A. If you add enough randomly selected stocks to a portfolio, you can completely eliminate all the market risk from the portfolio. B. If you form a large portfolio of stocks each with a beta greater than 1.0, this portfolio will have more market risk exposure than a single stock with a beta of 0.8. C. Company-specific (or unsystematic) risk can be reduced by forming a large portfolio, but normally even highly diversified portfolios are subject to market (or systematic) risk. D. Statements B and C are correct. E. All of the above statements are correct.
Which of the following statements is CORRECT? 1. a. Tests have shown that the betas of individual stocks are unstable over time, but that the betas of large portfolios are reasonably stable over time. 2. d. Tests have shown that the betas of individual stocks are stable over time, but that the betas of large portfolios are much less stable. 3. c. Tests have shown that the risk/return relationship appears to be linear, but the slope of the relationship is greater than that predicted by the CAPM. 4. e. The most widely cited study of the validity of the CAPM is one performed by Modigliani and Miller. 5. b. Richard Roll has argued that it is possible to test the CAPM to see if it is correct

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