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Consider a portfolio that offers an expected
What is the maximum level of risk aversion for which the risky portfolio is still preferred to T-bills? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
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- Consider a portfolio that offers an expected rate of return of 9% and a standard deviation of 26%. T-bills offer a risk-free 2% rate of return. What is the maximum level of risk aversion for which the risky portfolio is still preferred to T-bills? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Maximum level of risk aversion must be less thanAssume 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?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
- Consider a portfolio that offers an expected rate of return of 13% and a standard deviation of 20%. T-bills offer a risk-free 4% rate of return. What is the maximum level of risk aversion for which the risky portfolio is still preferred to T-bills? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Maximum level of risk aversion must beAssume you have an optimal risky portfolio with an expected return of 17% and a standard deviation of 34%, 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. Please use 5 decimal places in your responseAssume 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?
- Asset W has an expected return of 8.8 percent and a beta of .9O. If the risk-free rate is 2.6 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Do not round intermediate calculations. Enter your expected returns as a percent rounded to 2 decimal places, e.g., 32.16, and your beta answers to 3 decimal places, e.g., 32.161.) Answer is complete and correct. Percentage of Portfolio in Asset W Portfolio Expected Portfolio Return Beta % 2.60 % 25 4.15 % 0.225 50 5.70 % 0.450 75 7.25 % 0.680 100 8.80 % 0.900 125 10.35 % 1.130 150 11.90 % 1.350 you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) If X Answer is not complete. Slope of the lineAsset W has an expected return of 13.4 percent and a beta of 1.6. If the risk-free rate is 5.0 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Do not round intermediate calculations and enter your expected return answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 3 decimal places, e.g., 32.161.) Asset W has an expected return of 13.4 percent and a beta of 1.6. If the risk-free rate is 5.0 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Do not round intermediate calculations and enter your expected return answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 3 decimal places, e.g., 32.161.)Asset W has an expected return of 8.8 percent and a beta of .90. If the risk-free rate is 2.6 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Do not round intermediate calculations. Enter your expected returns as a percent rounded to 2 decimal places, e.g., 32.16, and your beta answers to 3 decimal places, e.g., 32.161.) Percentage of Portfolio in Portfolio Expected Portfolio Asset W Return Beta 0 % % 25 % 50 % 75 % 100 % 125 % 150 % If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Slope of the line %
- Asset W has an expected return of 13.55 percent and a beta of 1.36. If the risk-free rate is 4.61 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Enter your portfolio expected return answers as a percent rounded to 2 decimal places, e.g., 32.16. Enter your portfolio beta answers rounded to 3 decimal places, e.g., 32.161.) Answer is complete but not entirely correct. Percentage of Portfolio in Asset W Portfolio Expected Return % Portfolio Beta 0% % 25 % 50 % 75 % 100 % 125 % 150 %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 0.45The 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?
