You manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 28%. The T-bill rate is 7%. Your client's degree of risk aversion is A = 2.0, assuming a utility function u = E(r) - Ao². a. What proportion, y, of the total investment should be invested in your fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Investment proportion y b. What are the expected value and standard deviation of the rate of return on your client's optimized portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Expected return Standard deviation % % %

You manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 28%. The T-bill rate is 7%. Your client's degree of risk aversion is A = 2.0, assuming a utility function u = E(r) - Ao². a. What proportion, y, of the total investment should be invested in your fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Investment proportion y b. What are the expected value and standard deviation of the rate of return on your client's optimized portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Expected return Standard deviation % % %

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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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?
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Asset W has an expected return of 12.6 percent and a beta of 1.25. If the risk-free rate is 4.6 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 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 Asset W 0% 25 50 75 100 125 150 - Slope of the line Portfolio Expected Return % % % % % % % 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.) Portfolio Beta %
There are two risky assets and a riskfree asset. The riskfree rate is 0.03. The first risky asset has expected rate of return 0.18 and standard deviation 0.3; the second risky asset 0.09 and 0.2. Their correlation is 0.1. A portfolio on the best feasible CAL has an expected return of 0.12. Then this portfolio's portfolio weight on the first risky asset is 0%. (Enter a percentage number and keep 3 decimal places).
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 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.)
Suppose you came up with the following calculations; Assume your utlity function is represented by U E(Rp) 1/2A\sigma_p^2 where your risk aversion parameter A = 25. What is the weight that you must invest in Stock C in order to create your Optimal Portfolio? Present result in decimals, for example, 0.78, not 78 %. Round to 4 decimals. Your Answer: Answer
(Portfolio VaR) Suppose there are two investments A and B. Either investment A or B has a 4.5% chance of a loss of $15 million, a 2% chance of a loss of $2 million, and a 93.5% change of a profit of $2 million. The outcomes of these two investments are independent of each other.
A single mispriced asset has an alpha a = 3.0%, a beta ẞ = 1, and unsystematic risk σ² = 9%. The market risk premium is 5.0% and the market's standard deviation is 0.1. What is the information ratio of the mispriced asset? In constructing an optimal allocation between this mispriced asset and the market portfolio, what proportion of your investment would you place in the mispriced asset? Oa. 0.1; 6.67% O b. 0.33; 6.67% O c. 0.33; 6.90% O d. 0.1; 66.67% O e. 0.1; 6.90%
In the following exercise, separate the investments according to the type of Keynesian demand they are: Transactions (0% to 5%), Precautionary (6% to 9%), and Speculative demand (greater than 10%). Investment in each category has the same risk. So you want to invest in the highest return for the same risk. Take each demand type and choose the highest return and put that amount into the investment. For example, if Bond fund A has a return of 4% and Fund B has a return of 5%, they have the same risk, so you would put $70 into bond fund B. You have the following investments Opportunities ad returns. Fidelity Bonds 11% Fidelity Magellan 9% Putman Bonds one 4% Putman bonds Two 12% Growth Stock One 15% Growth and Income 8% Income Fund 3% Putman Growth…
Consider the following risk-return characteristics for funds A and B: Expected return Risk Fund A (Equity) 12% 20% Fund B (Debt) 9% 16% The correlation coefficient between the returns of fund A and fund B is 0.4. 1. Which Fund is riskier? Write 1 if your answer is Fund A, write 2 if your answer is Fund B, or write 3 if your answer is undetermined. 2.1 What is the weight of fund A in the minimum variance portfolio? 2.4 What is the risk of the minimum variance portfolio? 2.2 What is the weight of Fund B in the minimum variance portfolio? 2.3 What is the expected return of the minimum variance portfolio?
Asset W has an expected return of 13.15 percent and a beta of 1.28. If the risk free rate is 4.53 percent, complete the following table for portfollos of Asset W and a risk-free asset. Note: 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 beto answers rounded to 3 decimal places, e.g. 32.161. Percentage of Portfolio Expected Portfolio in Asset W Return 0% 25 50 25 100 125 150 453 % 669% 184% 11.00% 13.15 % 15.31% 17.46% Portfolio Beta 0250 0640 1024 1.200 6057 006
Nikul

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