You invest $96 in a risky asset and the T-bill. The risky asset has an expected rate of return of 19% and a standard deviation of 0.22, and a T-bill with a rate of return of 4%. A portfolio that has an expected outcome of $110 is formed by investing what dollar amount in the risky asset? Round your answer to the nearest cent (2 decimal places).

You invest $96 in a risky asset and the T-bill. The risky asset has an expected rate of return of 19% and a standard deviation of 0.22, and a T-bill with a rate of return of 4%. A portfolio that has an expected outcome of $110 is formed by investing what dollar amount in the risky asset? Round your answer to the nearest cent (2 decimal places).

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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An investor with a risk aversion of 3.5 can buy a risk-free asset with an expected return of 3% and risky asset with an expected return of 25% and a standard deviation of 50%. What will be the expected return of the complete portfolio? 8.5% 9.2% 10.7% 12.1%
An investor has an opportunity to invest in two risky assets and a risk-free asset. Theexpected return of the two risky assets are μ1 = 0.12, μ2 = 0.15. Their standarddeviations are σ1 = 0.05 and σ2 = 0.1, and the correlation coefficient between theirreturn is 0.2. The risk-free rate is 0.05. Suppose the investor has $1000 and he wantsto hold a portfolio with expected return of 0.1. If the investor is risk averse, how muchshould he invest in the two risky assets and the risk-free asset?
An investor can design a complete portfolio based on a risky portfolio and a risk-free asset. The risky portfolio has an expected return of 10% and a standard deviation of 20%. Risk-free rate is 5%. If the investment weight on the risky portfolio is 70% and the weight on the risk-free asset is 30%, what is expected return and standard deviation of the complete portfolio?
You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 30%. The T-bill rate is 6%. Your client’s degree of risk aversion is A = 3.4, assuming a utility function U = E(r) - ½Aσ². 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.) b. What is 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.)
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You manage a risky portfolio with an expected rate of return of 19% and a standard deviation of 34%. The T-bill rate is 8%. 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 19%. a. What is the investment proportion, y? (Round your answer to 2 decimal places.) Investment proportion y b. What is the expected rate of return on the complete portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Rate of return % %
kindly be as detailed as possible with the calculations. Preferably in excel.
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You invest 50% of your wealth in risky asset A and 50% in the risk-free asset. E(ra) is 10% and OA is 16%, while the risk- ree rate is 3%. The expected return on your portfolio is________ while the standard deviation is_________ Multiple Choice 6.50%,; 8.00% 7.90%; ,11.20% 5.80%; ,6.40% 7.20%; ,9.60%
Two investments generated the following annual returns: % -Select- a. What is the average annual return on each investment? Round your answers to one decimal place. The average annual rate of return on X: The average annual rate of return on Y: b. What is the standard deviation of the return on investments X and Y? Round your answers to two decimal places. Standard deviation of X: % Standard deviation of Y: c. Based on the standard deviation, which investment was riskier? was riskier. 20X0 20X1 20X2 20X3 20X4 Investment X 11% 22 30 16 9 Investment Y 22% 24 10 13 12
(Expected return and risk) Universal Corporation is planning to invest in a security that has several possible rates of return. Given the probability distribution of returns in the popup window, , what is the expected rate of return on the investment? Also compute the standard deviation of the returns. What do the resulting numbers represent? a. The expected rate of return on the investment is ☐ %. (Round to two decimal places.) b. The standard deviation of the returns is %. (Round to two decimal places.) c. What do the resulting numbers represent? (Select the best choice below.) ○ A. Universal could expect a return of 8.75 percent with a 67 percent possibility that this return would vary up or down by 8.04 percent. B. Universal could expect a return of 8.04 percent with a 67 percent possibility that this return would vary up or down by 8.75 percent. C. Universal could expect a return of 8.75 percent with a 25 percent possibility that this return would vary up or down by 8.04 percent.…
You invest in a portfolio of 5 stocks with an equal investment in each one. The betas of the 5 stocks are as follows: 0.8, -1.3, 0.95, 1.2, and 1.4. The risk-free return is 3% and the market return is 7%. a. Compute the beta of the portfolio. b. Compute the required return of the portfolio.

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