### Optimal Risky Portfolio Calculation**Question:**You compute the optimal risky portfolio to have the expected return of 12% and standard deviation of 20%. The risk-free rate is 4%. What will be the standard deviation of the complete portfolio of the risk-free asset and the optimal risk portfolio for a risk-averse investor with risk aversion index A=6.**Options:**- 1.11- 3.33- 5.67- 6.67- None of the above**Explanation:**To solve this problem, you'll need to use the following formula for the standard deviation of the complete portfolio when combining a risk-free asset and the risky portfolio:\[ \sigma_C = y \cdot \sigma_P \]Where:- \( \sigma_C \) is the standard deviation of the complete portfolio.- \( y \) is the proportion of the risky asset in the complete portfolio.- \( \sigma_P \) is the standard deviation of the risky portfolio.Step-by-step, you typically first calculate the proportion \( y \) based on the risk aversion index \( A \), and the expected excess return over the risk-free rate.For educational purposes, detailed calculations and explanations can follow up, ensuring students understand every step involved in achieving the correct answer.

Expected return E(r) = 12% Risk free rate (Rf) = 4% Standard Deviation (SD) = 20% Risk Aversion (A)…

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

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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 beta on risky asset A is 1.8 and the beta on risky asset Bis 1.1. The expected return on the market portfolio is 10% and the risk free rate of return is 4%. Consider a portfolio comprising the two riskypssets and the risk-free asset where you invest 50% in risky asset A and 30% in risky asset B. What is (i) the beta of a portfolio and fi) the expected return of the portfolio? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a None of the above b. (i) 0.97 and (ii) 9.829% (1) 1.23 and (ii) 9.8296 (1) 1.23 and (ii) 11.38% ) 0.97 and (ii) 11.38% e
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Use the following information: E[rXOM] = 15.6%, standard deviationyOM = 15.9% %3D E[IMSI=29.7%, standard deviationMS = 35.2% Correlation of returns: PXOM.MS = 0.139, r=10% If the optimal amount to invest in the first asset (w) is 0.43, what is the variance of the risky portfolio when w=0.43? (write in decimal format using 5 decimal places)
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Consider two well-diversified portfolios: Portfolio 1 has an expected return of 8% and a beta of 0.80 while Portfolio 2 has an expected return of 13% and a beta of 1.50. If the risk-free rate is 1.5%, which portfolio would a rational risk-averse investor prefer and why? O A. Portfolio 2 because it has the higher reward to risk ratio. O B. Portfolio 1 because it has the higher reward to risk ratio. OC. Portfolio 2 because it has the higher reward. O D. Portfolio 1 because it has the lower risk.
The beta on risky asset A is 1.8 and the beta on risky asset B is 1.1. The expected return on the market portfolio is 10% and the risk free rate of return is 4%. Consider a portfolio comprising the two risky assets and the risk-free asset where you invest 50% in risky asset A and 30% in risky asset B. What is (i) the beta of a portfolio and (ii) the expected return of the portfolio? a None of the above b (i) 0.97 and (ii) 9.82% c (i) 1.23 and (ii) 9.82% d (i) 1.23 and (ii) 11.38% e (i) 0.97 and (ii) 11.38%
Portfolio Suppose rA ~ N (0.05, 0.01), rB ~ N (0.1, 0.04) with pA,B = 0.2 where rA and rB are CCR’s. a) Suppose you construct a portfolio with 50% for A and 50% for B. Find the variance of the portfolio CCR. b) Find the portfolio expected gross return. c) Find the expected portfolio CCR.
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