**Portfolio Management Exercise**You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 36%. The T-bill rate is 6%.Your risky portfolio includes the following investments in the given proportions:- **Stock A:** 27%- **Stock B:** 35%- **Stock C:** 38%---Suppose that your client decides to invest in your portfolio a proportion \( y \) of the total investment budget so that the overall portfolio will have an expected rate of return of 15%.**a. What is the proportion \( y \)?** *(Round your answer to the nearest whole number.)*- **Proportion \( y \):** [Input Box] %---**b. What are your client’s investment proportions in your three stocks and the T-bill fund?** *(Do not round intermediate calculations. Round your answers to 2 decimal places.)*| | **Investment Proportions** ||---------------------------|----------------------------|| **T-Bills** | [Input Box] % || **Stock A** | [Input Box] % || **Stock B** | [Input Box] % || **Stock C** | [Input Box] % |---**c. What is the standard deviation of the rate of return on your client’s portfolio?** *(Do not round intermediate calculations. Round your answer to 2 decimal places.)*- **Standard deviation:** [Input Box] %

Risky portfolio rate of return (Re) = 18% Risky portfolio standard deviation (Se) = 36% T bill rate…

Answered: You manage a risky portfolio with an…

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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You manage a risky portfolio with an expected rate of return of 14% and a standard deviation of 29%. The T-bill rate is 3%. Your client chooses to invest 65% of a portfolio in your fund and 35% in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? Your client's? Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Your reward-to-volatility (Sharpe) ratio Client's reward-to-volatility (Sharpe) ratio
a. Using the data provided in problem 3, determine the return and risk for a portfolio made up of the following three stocks if you want to distribute your investment as follows: 20% in ADRE; 65% in MSFT and 15% in GOOG.b. How would the portfolio be affected if you distributed your investment in the following way: 30% in ADRE; 25% on MSFT and 45% on GOOG?c. Which of the two portfolios would a risk seeking investor prefer and why?
You are currently considering in investing Rs.1.2 million in equity investment portfolio. Your analysis reveals that equity stock of the following three companies are suitable options for your investment. Company P R Expected retum (%) Standard deviation (%) Correlation coefficient; 25 22 20 30 26 24 PQ QR -0.5 +0.4 PR +0.6 You are required to; (a) Calculate the expected returm of the portfolio if Rs.1.2 million is equally invested in the stocks of all three companies.
Assume that you manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 27%. The T-bill rate is 7%. Your risky portfolio includes the following investments in the given proportions: Stock A Stock B Stock C 27% 33 40 Your client decides to invest in your risky portfolio a proportion (y) of his total investment budget with the remainder in a T-bill money market fund so that his overall portfolio will have an expected rate of return of 15%. Required: a. What is the proportion y? (Round your answer to 1 decimal place.) Proportion y 0.8 X %
Suppose an investor uses two stocks A and B to build a risky portfolio. The following information is given: E(r_A)=10%,E(r_B)=12%,0_A=15%,o_B=20%, p_AB=0.4,r_f=2%. Denote the optimal risky portfolio investor can achieve with the highest Sharpe ratio by portfolio O. Calculate the weights of A and B (w_A and w_B) in the optimal risky portfolio O. Calculate the expected return and standard deviation of return for portfolio O. Calculate the Sharpe ratio of portfolio O.
You manage a risky portfolio with an expected rate of return of 14% and a standard deviation of 30%. The T-bill rate is 2%. Your client chooses to invest 65% of a portfolio in your fund and 35% in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? Your client's? Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Your reward-to-volatility (Sharpe) ratio Client's reward-to-volatility (Sharpe) ratio
Question 1: Assume that you manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 27%. The T-bill rate is 7%. Your client chooses to invest 70% of a portfolio in your fund and 30% in a T-bill money market fund. Stock A Stock B Stock C 1. Calculate the client expected return on the complete portfolio 2. Calculate the reward-to-variability ratio (Sharpe ratio): Part B A three-asset portfolio has the following characteristics: Expected Return Asset X Y Z 15% 10 6 Standard Deviation What is the expected return on this three-asset portfolio? 27% 33% 40% 22% 8 3 Weight 0.50 0.40 0.10
You manage a risky portfolio with an expected rate of return of 19% and a standard deviation of 32%. The T-bill rate is 7%. Your client chooses to invest 50% of a portfolio in your fund and 50% in a T-bill money market fund. Suppose that your risky portfolio includes the following investments in the given proportions: Stock A Stock B Stock C 33 % 32 % 35 % What are the investment proportions of your client's overall portfolio, including the position in T-bills? (Round your answers to 1 decimal place.) T-Bills Stock A Stock B Stock C Investment Proportions % % % %
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 15% and a standard deviation of return of 16.0%. Stock B has an expected return of 11% and a standard deviation of return of 4%. The correlation coefficient between the returns of A and B is 0.50. The risk-free rate of return is 7%. The proportion of the optimal risky portfolio that should be invested in stock A is __________.
K You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 37%. The T-bill rate is 4%. Your client chooses to invest 80% of a portfolio in your fund and 20% in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? Your client's? Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Your reward-to-volatility (Sharpe) ratio Client's reward-to-volatility (Sharpe) ratio
You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 34%. The T-bill rate is 4%. Suppose that your client prefers to invest in your fund a proportion y that maximizes the expected return on the complete portfolio subject to the constraint that the complete portfolio's standard deviation will not exceed 10%. Required: a. What is the investment proportion, y? b. What is the expected rate of return on the complete portfolio?

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