АВ С8% 13% 5%AssetReturnStandard Deviation12%20%0%Cov(A,B)There are two types of investors in themarket.Investor X: has a Risk aversion level of 0.5Investor Y: has a Risk aversion level of 4.5For both investors find the respectiveweights of assets in (1) optimal risky portfolioand the (2) optimal complete portfolio giventhe following market situations:Lending is allowed at risk-free rate androwing is allowed at 7%72

The most efficient sections of the risk-return premium spectrum are occupied by an optimal…

Answered: Asset Return Standard Deviation12%20%0%…

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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Similar questions

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?
1. Portfolio Choice 1 Assume that .02 E(R)-.18 and market) portfolio. Suppose that an investor's preferences are given by 3 where T. denotes the tangency (or U-ER)-20; where P denotes the investor's portfolio choice which combines proportion W of the market portfolio and proportion 1-W of the risk-free asset. A. Is this investor risk loving or risk averse? Please explain your reasoning. B. If the investor wants to maximize utility by allocating her wealth between the market portfolio and the risk-free asset, what proportion of wealth should she hold in the risk- free asset (1-W)? What is the risk and expected return of this utility-maximizing portfolio? Please explain your answers and illustrate graphically, being careful to label all axes.
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Op 1.45 1.20 0.75 1.00 Portfolio: X Y Z Market Risk-free Rp 11.00% 10.00 8.10 10.40 5.20 Information ratio Op 33.00% 28.00 18.00 23.00 0 Assume that the tracking error of Portfolio X is 9.10 percent. What is the information ratio for Portfolio X? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 4 decimal places. 02148 0
The following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 o(R) 0.4 0.45 [H]Z 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. Figure (1) shows an investor with a conservative investment behavior. In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. 0.15 Figure 2 0.2 0.25 o (R) 0.3 0.35 0.4 0.45
For each of the cases shown in the following table, use the capital asset pricing model (CAPM) to find the required return and explain your answer. Case Risk-free rate Market return Beta (%) (%) 8 A 5 1.3 В 8. 13 0.9 C 9 12 -0.2 D 10 15 1.0 E 10 0.6
You are given the following Information concerning three portfollos, the market portfolio, and the risk-free asset Portfolio Rp Op X 13.0% Y 12.0 Z Market Risk-free 7.2 11.0 5.6 24 ཝིཙྪཱཙྪལ༤ 39% 1.75 1.30 .85 1.00 0 What are the Sharpe ratio, Treynor ratio, and Jensen's alpha for each portfolio? (A negative value should be Indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Do not round Intermediate calculations. Round your ratio answers to 5 decimal places. Enter your alpha answers as a percent rounded to 2 decimal places.) Portfolio Sharpe Ratio Treynor Ratio Jensen's Alpha X % Y % Z % Market %
Manipulating CAPM Use the basic equation for the capital asset pricing model (CAPM) to work each of the following problems. a. Find the required return for an asset with a beta of 1.48 when the risk-free rate and market return are 8% and 13%, respectively. b. Find the risk-free rate for a firm with a required return of 14.684% and a beta of 1.47 when the market return is 12%. c. Find the market return for an asset with a required return of 12.040% and a beta of 0.95 when the risk-free rate is 5%. d. Find the beta for an asset with a required return of 13.312% when the risk-free rate and market return are 10% and 12.3%, respectively. C a. The required return for an asset with a beta of 1.48 when the risk-free rate and market return are 8% and 13%, respectively, is %. (Round to two decimal places.)
We believe that the single factor model can predict any individual asset’s realized rate of return well. Both Portfolio A and Portfolio B are well-diversified: ri = E(ri) + βiF + Ei, where E(ei) = 0 and Cov(F, i) = 0 A B β 1.2 0.8 E(r) 0.1 0.08 (1) What is the rate of return of the risk-free asset? (2) What is the expected rate of return of the well-diversified portfolio C with βC = 1.6, which also exists in the market? (3) A fund constructs a well-diversified portfolio D. Studies show that βD = 0.6. The expected rate of return of D is 0.06. Is there an arbitrage opportunity? If so, construct a trading strategy to earn profits with no risk. If not, why?
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Rp X 15.0% Y 14.0 Z 9.0 Market 10.3 Risk-free 4.2 op 32% 27 17 22 0 Portfolio X Y Z Market 6p 1.40 1.10 0.75 1.00 What are the Sharpe ratio, Treynor ratio, and Jensen's alpha for each portfolio? (A negative value should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Leave your ratio answers as a decimal rounded to 5 places (e.g., 0.23546). Enter your alpha answers as a percent rounded to 2 decimal places (e.g., 0.22%).) Sharpe Ratio Treynor Ratio Jensen's Alpha % % % %
Question Five: Which of the following is not an assumption that underpins the capital asset pricing model (CAPM)? Investors behave in accordance with Markowitz mean-variance portfolio theory. Investors are rational and risk averse. Investors all invest for the same period of time. Investors have heterogeneous expectations about expected returns and return variances for all assets. There is a risk free rate at which all investors can borrow or lend any amount. Capital markets are perfectly competitive, frictionless and efficient. Question Six: Which of the following expressions best describes the slope of the security market line? The slope of the security market line is equal to the Sharpe ratio. The slope of the security market line is equal to the Treynor ratio. The slope of the security market line is equal to alpha. The slope of the security market line is equal to the market risk premium. The slope of the security market line is equal to the standard deviation of the risky…
Problem 3: Evaluating portfolio performance Assume you have two investment opportunities. 1. Corporate Disasters (CD) has expected returns E(RcD) = 4% and standard deviation of returns 9%. 2. Nevada beach front properties (NBF) has expected returns E(RygF) = 10% and standard deviation of returns 18% Risk free rate is R; = 1%. a) Calculate Sharpe ratios of these two portfolios. b) Assume you can invest only in one of those companies (and a risk free rate). Assume your target rate of return is 6%. Calculate portfolios with CD&RF and NBF&RF which would deliver this return. Which portfolio has smaller standard deviation and why? c) Assume you have a portfolio which is not efficient. Assume Corporate Disasters have market beta of ßep = 0.5 and Nevada beach front properties have market beta BNef = 4. Calculate Treynor measures for those securities. Which one should you add to your portfolio to increase the Sharpe ratio.
Which asset in the following table has the most market risk (also known as systematic or non-diversifiable risk)? (Ch. 8) Asset Return Beta Standard Deviation Asset A 9% 0.95 20% Asset B 13% 1.10 35% Asset C 10% 1.00 40% Group of answer choices Asset A Asset C Asset B and Asset C Asset B

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