Consider the following information about a risky portfolio that you manage and a risk-free asset: E(rp)13%, op = 17%, rf = 5%.%3Da. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on heroverall or complete portfolio equal to 7%. What proportion should she invest in the risky portfolio, P, and what proportion in the risk-free asset? (Do not round intermediate calculations. Round your answer to 2 decimal places.)Risky portfolio%Risk-free asset%b. What will be the standard deviation of the rate of return on her portfolio? (Do not round intermediate calculations. Round youranswer to 2 decimal places.)Standard deviation%

The portfolio is framed by taking into consideration the overall return and risk that the investor…

Answered: Consider the following information…

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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Consider the following portfolio choice problem. The investor has initial wealth w and utility u(x)=. There is a safe asset (such as a US government bond) that has net real return of zero. There is also a risky asset with a random net return that has only two possible returns, R₁ with probability 1-q and Ro with probability q. We assume R₁ 0. Let A be the amount invested in the risky asset, so that w - A is invested in the safe asset. 1) Does the investor put more or less of his portfolio into the risky asset as his wealth increases?
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An investment requires a total return that comprises: O a real rate of return and compensation for inflation. a real rate of return, compensation for inflation, and a risk premium. compensation for inflation and a risk premium. a real rate of return, compensation for inflation, a risk premium, and compensation for time and effort devoted to researching alternative investments. None of the above
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%
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?
Review the table below listing performance metrics for selected assets. The metrics are defined in the same way as in CAPM. Compute the CAPM alpha for the four assets (data attached as image).
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?
a. What are the expected return and standard deviation of your client's portfolio?
(a) Determine the expected return of security X (b) To reduce the systematic risk of the portfolio, Anna is considering 3 securities to add to the portfolio. Security A has a beta of 0, security B has a beta of 0.5 and Security C has a beta of -0.3. Discuss which security will be most effective in reducing the portfolio’s systematic risk? How would portfolio expected return change (higher or lower) if you add this security?
Answer whether each of the following statements is correct and explain your argument. \ (a) According to CAPM, the expected return of a risky asset is larger than the risk free rate. (b) According to CAPM, the expected return of a risky asset increases with its variance. (c) According to the separation property, the optimal risky portfolio for an investor dependson the investor’s personal preference. (d) A less risk-averse investor has a steeper indifference curve for the utility function.
Portfolio A has an expected return of 15% and a Sharpe ratio of 0.42. Portfolio B has an expected return of 20% and a Sharpe ratio of 0.37. Portfolio C has an expected return of 25% and a Sharpe ratio of 0.31. Among A, B, and C, rational risk-averse investors prefer to include which one into her complete portfolio? O There is not enough information to choose among A, B, C. O Portfolio B O Portfolio C O Portfolio A
For a risk-averse investor, which of the following portfolios would be preferred? Portfolio B, with a Sharpe Ratio of 3. Portfolio A, with a Sharpe Ratio of 4. Portfolio D, with a Sharpe Ratio of 1. Portfolio C, with a Sharpe Ratio of 2.

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