You compute the optimal risky portfolio to have the expected return of 12% and standard deviation of 20%. The risk free rate is 4%. VWhat will be the standard deviation of the complete portfolio of risk free asset and the optimal risk portfolio, for a risk averse investor with risk aversion index A=6. O 1.11 O 3.33

You compute the optimal risky portfolio to have the expected return of 12% and standard deviation of 20%. The risk free rate is 4%. VWhat will be the standard deviation of the complete portfolio of risk free asset and the optimal risk portfolio, for a risk averse investor with risk aversion index A=6. O 1.11 O 3.33

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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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 0.4 0.45 o (R) E[R] Figure (1) shows an investor with a conservative investment behavior. 0.3 0.25 0.2 0.15 0.1 0.05 0 0 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. 0.05 0.1 0.15 In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. O In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. Figure 2 0.2 0.25 o(R) 0.3 0.35 0.4 0.45
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
Given the non-satiation and risk aversion assumptions, which of the following five portfolios has the most desirable risk and return characteristics and thus will be chosen by investors ? The risk-free rate of return is 6%. (Explain or justify your answer briefly.) Portfolio Average Annual Return (%) Standard Deviation (%) R2 14 21 0.70 K 16 24 0.98 Q 24 28 0.96 17 25 0.92 11 18 0.60
Using the following data: Scenario Probability return K1 return K2 0.2 -10% 5% W2 0.4 0% 30% W3 0.4 20% -5% compute the weights in the portfolio with minimum risk. What are the expected return and risk of this minimum risk portfolio?
You compute the optimal risky portfolio to have the expected return of 12% and standard deviation of 20%. The risk free rate is 4%. In the complete portfolio of risk free asset and the optimal risk portfolio, what fraction of his investment will a risk averse investor invest in risky portfolio if his risk aversion index A-3. O 20 O 40 0.67 O.80 O None of above
Assume you have an optimal risky portfolio with an expected return of 17% and a standard deviation of 27%, if the current risk free rate is 5% what is the optimal percentage to invest in ORP (y*)? Please write all percentages as decimals (for example write .242 instead of 24.2%). Use a risk aversion measure (A) of 2. Note: Correct answer is 0.8230 Please explain?
The risk free rate is 3%. The optimal risky portfolio has an expected return of 9% and standarddeviation of 20%. Answer the following questions.a) Assume the utility function of an investor is U = E(r) − 0.5Aσ2. What is condition ofA to make the investors prefer the optimal risky portfolio than the risk free asset? b) Assume the utility function of an investor is U = E(r) − 2.5σ2. What is the expectedreturn and standard deviation of the investor’s optimal complete portfolio?
A portfolio has an expected rate of return of 0.15 and a standard deviation of 0.15. The risk-free rate is 6%. An investor has the following utility function: U = E(r) - (A/2)s2. Which value of A makes this investor indifferent between the risky portfolio and the risk-free asset? A. 5 B. 8 C. 6 D. 7
Assume the APT equation for portfolios A and B with the following system of equations: E[rA] = λ0 + (λ1)3 + (λ2)0.2 = 11.0 E[rB] = λ0 + (λ1)2 + (λ2)1 = 13.0 Assume the following: . The risk free rate is λ0 = Rf = 5 . The expected return on the market portfolio is RM = 10 . Expected returns are consistent with the CAPM. . (hint: note that λ1 = E[RA] − Rf and λ2 = E[RB] − Rf ). Answer the following: (a) What are λ1 and λ2? (b) What is the CAPM β associated with the pure portfolio associated with factor 1? (c) What is the CAPM β associated with the pure portfolio associated with factor 2?
You are given the following Information concerning three portfolios, the market portfollo, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 14.10% 13.10 8.50 12.00 7.20 Information ratio op 39.00% 34.00 1.15 0.90 1.00 0 Assume that the tracking error of Portfolio X is 8.90 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. 6p 1.50 24.00 29.00 0
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Y Z Market Risk-free Rp 13.5% бр 35.00% 12.5 30.00 7.1 20.00 10.6 4.4 25.00 0 Вр 1.55 1.20 0.80 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.70. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places. × Answer is complete but not entirely correct. R-squared 0.9785
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 %

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