Problem 13-18 Optimal Sharpe Portfolio Value-at-Risk (LO3, CFA6) You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 10 percent and 13 percent. respectively. The standard deviations of the assets are 32 percent and 40 percent, respectively. The correlation between the two assets is 47 and the risk-free rate is 3.6 percent. What is the optimal Sharpe ratio in a portfolio of the two assets? What is the smallest expected loss for this portfolio over the coming year with a probability of 16 percent? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your Sharpe ratio answer to 4 decimal places and the z-score value to 3 decimal places when calculating your answer. Enter your smallest expected loss as a percent rounded to 2 decimal places.) Sharpe ratio Smallest expected loss

Problem 13-18 Optimal Sharpe Portfolio Value-at-Risk (LO3, CFA6) You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 10 percent and 13 percent. respectively. The standard deviations of the assets are 32 percent and 40 percent, respectively. The correlation between the two assets is 47 and the risk-free rate is 3.6 percent. What is the optimal Sharpe ratio in a portfolio of the two assets? What is the smallest expected loss for this portfolio over the coming year with a probability of 16 percent? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your Sharpe ratio answer to 4 decimal places and the z-score value to 3 decimal places when calculating your answer. Enter your smallest expected loss as a percent rounded to 2 decimal places.) Sharpe ratio Smallest expected loss

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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INV 1 4a You have invested in a portfolio of 60% in risky assets (Portfolio R) and 40% in T-bills. The risky portfolio is described below: E(rR)=12% σR =15% If the T-bill rate is 3%, what is the expected return on your overall portfolio, including both portfolio R and the T-bills?
Portfolio Expected return Standard deviation Q 7.8% 10.5% R 10.0% 14.0% S 4.6% 5.0% T 11.7% 18.5% U 6.2% 7.5% Q) If you are only willing to make an investment with a standard deviation of 7.0%, is it possible for you to earn a return of 7.0%?
Question 3 A portfolio consisting of 5 securities could have its beta factor computed Security % of portfolio Beta factor of A B с D E 20 10 15 20 35 security 0.90 1.25 1.10 1.15 0.70 as follows: Weighted beta factor 0.180 0.125 0.165 0.230 0.245 If the risk-free rate of return is 12% and the expected return on the market is 20%. Determine the expected return of this portfolio.
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QUESTION 12 Use the table below to answer questions 12 through 15. What is the portfolio tracking error? O A. 81.35 basis points OB. 86.35 basis points O C. 83.35 basis points D. 80.35 basis points Month January February March April May June July August September October November December Portfolio A's Return (%) 2.15 0.89 1.15 -0.47 1.71 0.10 1.04 2.70 0.66 2.15 -1.38 -0.59 Benchmark Index Return (%) 1.65 -0.10 0.52 -0.60 0.65 0.33 2.31 1.10 1.23 2.02 -0.61 -1.20
<Urgent> please answer M9,M10,M11
Problem 5 Assume that you manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The T-bill rate (risk-free rate) is 7%. Your client chooses to invest 70% in the risky portfolio in your fund and 30% in a T-bill money market fund. We assume that investors use mean-variance utility: U = E(r) – 0.5 x Aa?, where E(r) is the expected return, A is the risk aversion coefficient and o? is the variance of returns. a) What is the expected value and standard deviation of the rate of return on your client's portfolio? b) What is the reward-to-volatility ratio (Sharpe ratio) of your risky portfolio? What is the reward-to-volatility ratio (Sharpe ratio) of your client's risky portfolio? Comment on the relationship between these two Sharpe ratio calculated and explain the intuition behind. c) Draw the Capital Allocation Line (CAL) of your portfolio on an expected return- standard deviation diagram. What is the slope of the CAL? Show the position of your…
Consider the following portfolio of assets: Loan Weight 1 0.30 2 0.70 Expected returni ம σ2 13% 11% 9.06% 82.0% P12=-0.87 8.72% 76.0% 012-75.0% What is the variance of the portfolio (round to two decimals)? Note: a^2 denotes the square of a. For example, 2^2 = 4, 3^2=9 (0.3)^2*(82.0%) + (0.7)^2*(76.0%) + (0.3) (0.7)(-0.87) (9.06%) (8.72%) = 30.19 (0.3)^2 (82.0%) + (0.7)^2*(76.0%) + 2(0.3) (0.7)(-0.87) (9.06 %) (8.72%) = 15.75 (0.3)^2*(82.0%) + (0.7)^2*(76.0%) + [(0.3) (0.7)]^2 (-0.87) (9.06%) (8.72%) = 41.59 (0.3) (82.0%) + (0.7) (76.0%) + 2(0.3) (0.7)(-0.87) (9.06 %) (8.72%) = 48.93
✓ Question 4 FI Two assets, Q & R, each have an expected return of 11.75%. Asset Q's standard deviation is 13% and Asset R's standard deviaion is 13.2%. A rational investor will choose: A. Either asset R or asset Q. B. Asset R. C. Asset Q. Question 5 Answers: 2 An investor whose portfolio is not diversified is subject to: Answers: A. systematic risk. Thursday, June 30, 2022 2:15:10 AM EDT W 4+ *3 B. non-systematic risk. C. both systematic risk and non-systematic risk. E $ 4 F4 R с F5 % 5 T F6 6 H Y F7 & 7 F8 U * 00 8 F9 81 L ( 9 F10 - F11 0 *+ F12 P PrtSc [ # 0 c Del Ba
Fund A Fund B Expected Ret. E(r) 13.2% 8.3% Standard Deviation - \sigma 15.5% 14.7% The table above contains expected annual returns for funds A and B. Assuming that the risk free rate is 1.34% and that the correlation of returns between funds A and B is 0.32, calculate the weight of Fund A in the Optimal two - risky asset portfolio comprised of funds A and B. Note: Enter your answer in percentages rounded to the nearest one digit after the decimal point. For example, if the weight of Fund A is 15.437% or 0.15437, enter it as: 15.4
Question 2 You calculated that the average return of your portfolio is 3% and the standard deviation is 22%, what is the value at risk (VaR) at 5% for your portfolio? -33.3%

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