You can invest in a portfolio of two assets: the riskfree asset with rate of return 6%, and a risky portfolio with expcected return 16% andstdev 30%. You optimally choose to invest equal amount in both assets. What is your risk aversion (keep 2 decimal places)?A=

The question is based on the basis of calculation for risk aversion in the Indian system. The risk…

Answered: You can invest in a portfolio of two…

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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Assume you have an optimal risky portfolio with an expected return of 17% and a standard deviation of 27%, if the current risk free rate is 5% what is the optimal percentage to invest in ORP (y*)? Please write all percentages as decimals (for example write .242 instead of 24.2%). Use a risk aversion measure (A) of 2. Note: Correct answer is 0.8230 Please explain?
Consider the following portfolio choice problem. The investor has initial wealth w andutility u(x) = (x^n) /n. There is a safe asset (such as a US government bond) that has netreal return of zero. There is also a risky asset with a random net return that has onlytwo possible returns, R1 with probability 1 − q and R0 with probability q. We assumeR1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A isinvested in the safe asset.i) What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving?ii) Find A as a function of w.
a) First, ignore the fact that r,rf depends on whether you are long or short the risk-free asset. Suppose rrf = 2%. Solve for the tangency portfolio. b) asset. Suppose rrf = 9%. Solve for the tangency portfolio. Again, ignore the fact that rrf depends on whether you are long or short the risk-free Now, for parts c) to f) of the questions, let's take into account that rrf depends on whether c) you are long or short the risk-free asset. Draw out the shape of the efficient frontier. (Hint: think about what (E, o) pairs you can achieve via investing positive amounts in the risk-free asset, and investing negative amounts in the risk-free asset (borrowing). You will use your answers to parts A. and B.). The drawing does not need to be to scale, but needs to illustrate correctly the shape of the efficient frontier. d) deviation of 10%. Solve for the optimal portfolio for the client (that is, the weights wA, WB,Wrf which maximize the client's expected return, conditional on the standard…
At a minimum, which of the following would you need to know to estimate the amount of additional reward you will receive for purchasing a risky asset instead of a risk-free asset? 1. I. Asset's standard deviation 2. II. Asset's beta 3. III. Risk-free rate of return 4. IV. Market risk premium I, III, and IV only I, II, III, and IV I and III only II and IV only III and IV only ооо O
Think about whether a risk-free asset should earn a risk-premium beyond the risk-free rate. Thinking about that should give you an idea of the beta for a risk-free asset. Or, look again at the CAPM equation: E(Ri)=Rf+βi[E(RM)−Rf] Given this equation, what beta sets the E(R) of the risk free asset equal to the risk-free rate? A) zero B) 0.5 C) 1.0 D) its random
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?
An investor has a portfolio of two assets A and B. The details are shown in the below table. Portfolio Details Asset Expectedreturn Standarddeviation Covariance (A, B) Expected Portfolio Return A 0.06 0.5 0.12 0.1 B 0.08 0.8 Which one of the following statements is NOT correct? a. The portfolio weight in asset A is -100%. b. The correlation of asset A and B’s returns is 0.3. c. The investor can benefit from a fall in the price of asset A. d. The variance of the portfolio is 2.33. e. The order of short selling is borrowing, buying, selling, and returning.
Asset A has a standard deviation of 0.17, and asset B has a standard deviation of 0.52. Assets A and B have a correlation coefficient of 0.44. What is the standard deviation of a portfolio consisting with a weight of 0.40 in asset A, a weight of 0.24 in asset B, and the remainder invested in a risk-free asset? Give your answer to four decimal places.
Two assets have the following expected returns and standard deviations when the risk-free rate is 5%: Asset A E(rA) = 10% σA = 20% Asset B E(rB) = 15% σB = 27% An investor with a risk aversion of A = 3 would find that _________________ on a risk return basis. only Asset A is acceptable only Asset B is acceptable neither Asset A nor Asset B is acceptable both Asset A and Asset B are acceptable
2. Suppose that you have a riskfree asset and N risky assets for investment. The rate of return on the riskfree asset is r,, while the (Nx1) vector of the rate of return on the N risky assets is r, which is multivariate normal, i.e., r N(u, E). Your utility function for a portfolio that consists of the riskfree asset and the N risky asset is u(r,)=r,-=o, 2 Suppose that the sum of investment proportions on the riskfree and risky assets is one. Answer the following question. A. What is your optimal investment proportion in the risky assets? How is your investment on the riskfree asset affected by different values of 2? B. Suppose that there is only one risky asset i. Show the effects of the Sharpe ratio (4,/0, ) on the investment proportion in the risky asset.
Suppose you have an investment portfolio with fraction x invested in a market portfolio and (1-x) in a risk- free asset. Increasing fraction x invested in the market portfolio and consequently decreasing (1-x) invested in the risk-free asset shall (select any correct answer, if there are multiple correct answers) Select one or more: O decrease the Sharpe ratio of the resulting portfolio O decrease the expected return of the resulting portfolio increase the Sharpe ratio of the resulting portfolio increase the expected return of the resulting portfolio Dincrease the risk of the resulting portfolio
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 %

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You can invest in a portfolio of two assets: the riskfree asset with rate of return 6%, and a risky portfolio with expcected return 16% and stdev 30%. You optimally choose to invest equal amount in both assets. What is your risk aversion (keep 2 decimal places)? A=