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. 04. 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 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. 04. 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.

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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(Singular) Suppose there are two stocks that are uncorrelated. Each of these has variance of 1, and there are expected returns are 7₁ and 72, respectively. The risk-free rate is rf. Find the portfolio of weights w₁ and w2 for the Markowitz (market) portfolio. Show that for some value of rf there is no Markowitz portfolio.
Consider the following portfolio choice problem. The investor has initial wealth w andutility u(x) = (x^n) /n. There is a safe asset (such as a US government bond) that has netreal return of zero. There is also a risky asset with a random net return that has onlytwo possible returns, R1 with probability 1 − q and R0 with probability q. We assumeR1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A isinvested in the safe asset.i) What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving?ii) Find A as a function of w.
Consider a risky portfolio, A, with an expected rate of return of 0.15 and a standard deviation of 0.15, that lies on a given indifference curve. Which one of the following portfolios might lie on the same indifference curve? A. E(r) = 0.15; Standard deviation = 0.20 B. E(r) = 0.20; Standard deviation = 0.15 C. E(r) = 0.10; Standard deviation = 0.10 D. E(r) = 0.10; Standard deviation = 0.20 E. E(r) = 0.15; Standard deviation = 0.10
A beta of 1.0 represents an asset that O is less responsive than the market portfolio has the same response as the market portfolio O is unaffected by market movement O is more responsive than the market portfolio
4. Which of the following statements about the Sharpe ratio is false? (a) The Sharpe ratio is equal to the excess return of a portfolio over the market return divided by the total risk of the portfolio. (b) The Sharpe ratio can be used to evaluate absolute performance of undiversified portfolios. (c) The Sharpe ratio considers both the systematic and unsystematic risks of a portfolio. (d) The Sharpe ratio is derived from the capital market line.
For a market timer, the ________ will be higher when the market risk premium is higher Select one: a. portfolio’s idiosyncratic risk b. portfolio’s standard deviation c. portfolio’s beta d. security selection component of the portfolio e. portfolio’s alpha
At a minimum, which of the following would you need to know to estimate the amount of additional reward you will receive for purchasing a risky asset instead of a risk-free asset? 1. I. Asset's standard deviation 2. II. Asset's beta 3. III. Risk-free rate of return 4. IV. Market risk premium I, III, and IV only I, II, III, and IV I and III only II and IV only III and IV only ооо O
You are testing the no-arbitrage principle of the APT, and you find a well-diversified portfolio with a β of 0.9 with respect to the market portfolio, M. You also have a risk-free asset, rf. Create a mimicking portfolio and show that it’s beta is also 0.9.
Consider the following portfolio choice problem. The investor has initial wealth w and utility u(x)=. There is a safe asset (such as a US government bond) that has net real return of zero. There is also a risky asset with a random net return that has only two possible returns, R₁ with probability 1-q and Ro with probability q. We assume R₁ 0. Let A be the amount invested in the risky asset, so that w - A is invested in the safe asset. 1) Does the investor put more or less of his portfolio into the risky asset as his wealth increases?
Unsystematic risk: is compensated for by the risk premium. is measured by standard deviation. is related to the overall economy. can be effectively eliminated by portfolio diversification. is measured by beta.
Portfolio provides average risk but much lower return. The key is the negative correlations among individual stocks. True False Answer should be correct(Be fast)
The following expected return and the standard deviation of current returns are known: Security (i) Expected Return Standard Deviation βi A 0.20 0.12 1.1 B 0.12 0.10 0.8 T-Bills 0.05 0 0 Market Portfolio 0.20 0.15 1 Required: Determine which of A or B is over-valued or undervalued.

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