A mean - variance optimising investor forms a portfolioof a risky stock and the risk - free asset. The risky stockhas an expected return of 13% with a standarddeviation of 24%. The risk - free rate is 6%. Theinvestor has risk-aversion coefficient A = 5. What isthe optimal wealth share (i.e. weight) allocated to therisky stock?

Answer image:Allocation of Capital between Risk free assets and Optimal risky portfolio can be…

Answered: A mean - variance optimising investor…

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 a risky portfolio, A, with an expected rate of return of 0.16 and a standard deviation of 0.25, that lies on a given indifference curve. Which one of the following portfolios is not likely to lie on the same indifference curve for a risk-averse investor with a mean- variance utility function? a. Expected return = 0.20; Standard deviation = 0.15 b. Expected return = 0.10; Standard deviation = 0.20 Expected return= 0.15; Standard deviation = 0.20 Expected return = 0.12; Standard deviation = 0.10 Expected return = 0.10; Standard deviation = 0.10 C. d. e.
Explain well all question with proper answer. And type the answer step by step.
A stock's risk premium is equal to the: expected market risk premium times beta. expected market risk premium multiplied by beta plus the risk-free return. Risk-free return plus expected market return. expected market return times beta.
The appropriate measure of risk used in Sharpe's measure of portfolio evaluation is a. Range b. Variance c. Beta d. Standard deviation
If a stock's expected return plots on or above the SML, then the stock's return is SML, the stock's return is to compensate the investor for risk. cent to compensate the investor for risk. If a stock's expected return plots below the The SML line can change due to expected Inflation and risk aversion. If inflation changes, then the SML plotted on a graph will shift up or down parallel to the old SML. If risk aversion changes, then the SML plotted on a graph will rotate up or down becoming more or less steep if investors become more or less risk averse. A firm can influence market risk (hence its beta coefficient) through changes in the composition of its assets and through changes in the amount of debt it uses. Quantitative Problem: You are given the following information for Wine and Cork Enterprises (WCE): Tar 4%; 10 % ; RPM 6%, and beta - 1.1 What is WCE's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places. -75 % If inflation…
A stock has a market beta of 0.86 and a standard deviation of 0.28. If the market standard deviation is 0.30, what is the covariance between the stock return and the market return?
Consider the stocks in the table with their respective beta coefficients to answer the following questions:a. Which of the assets represents the most sensitive to fluctuations or changes in market returns and why? What impact in terms of risk and return would this asset have if you add it to an investment portfolio in a higher proportion than all other assets? b. Which of the assets represents the least sensitive to fluctuations or changes in market returns and why? What impact in terms of risk and return would this asset have, if you add it to an investment portfolio in a greater proportion than all other assets? Stock Beta SKT 0.65 COST 0.90 SU 1.42 AMZN 1.57 V 0.94
9. A risk averse, wealth maximising, investor is faced with a choice between four investments (P, Q, R and S) that have profiles as follows:   Mean return (%) Variance (%) P 19 18   Q 16 17  R 22 16   S 20 16   Between which pair of these investments would the investor find it impossible to distinguish on the basis of the above information? A. P and Q   B. R and S   C. P and S   D. Q and R
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.
1. Consider an environment of 40 individual risky securities and one risk free asset. One investoris selecting between the Markowitz mean-variance frontier framework and the index model inthe portfolio analysis. (a) How many parameters are used as the input to construct the mean-variance frontier? (b) How many inputs are used for the index model?
The optimal proportion of the risky asset in the complete portfolio is given by the equation below y*= E(Rp− Rf) A0² For each of the variables on the right side of the equation, discuss the impact of the variable's effect on y* and why the nature of the relationship makes sense intuitively. Assume the investor is risk averse
The security market line (SML) is an equation that shows the relationship between risk as measured by beta and the required rates of return on individual securities. The SML equation is given below: Required return on Stock = Risk-free return + (Market risk premium) (Stock's beta) If a stock's expected return plots on or above the SML, then the stock's return is sufficient ✓to compensate the investor for risk. If a stock's expected return plots below the SML, the stock's return is insufficient to compensate the investor for risk. The SML line can change due to expected inflation and risk aversion. If inflation changes, then the SML plotted on a graph will shift up or down parallel to the old SML. If risk aversion changes, then the SML plotted on a graph will rotate up or down becoming more or less steep if investors become more or less risk averse. A firm can influence market risk (hence its beta coefficient) through changes in the composition of its assets and through changes in the…

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