Question 5. You can invest in two risky assets, rị and r, and one risk-free asset, rf . The tworisky assets are uncorrelated, and values are E[r] = 8%, E[r2] = 6%, Var[r] = 10%,Var[r2] = 3%,and rf = 3%If you have a mean-variance optimizer with a risk aversion A = 2, what is the optimal portfolio?

The optimal portfolio can be found by solving the mean-variance optimization problem: Maximize:…

Question 5. You can invest in two risky assets, r₁ and r2 and one risk-free asset, r. The two risky assets are uncorrelated, and values are E[ri] = 8%, E[r₂] = 6%, Var[r₁] = 10%,Var[r₂] = 3%, and rf = 3% If you have a mean-variance optimizer with a risk aversion A = 2, what is the optimal portfolio?

Question 5. You can invest in two risky assets, r₁ and r2 and one risk-free asset, r. The two risky assets are uncorrelated, and values are E[ri] = 8%, E[r₂] = 6%, Var[r₁] = 10%,Var[r₂] = 3%, and rf = 3% If you have a mean-variance optimizer with a risk aversion A = 2, what is the optimal portfolio?

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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Suppose two asset returns are described by a two factor model, n = 0% + 11 + 1.82 + e1 2 = -1% + 2/1 + 0.52 + e2 where the volatility of first factor is 30%, the volatility of the second factor is 10%, and the correlation between the two factors is 0.5. Suppose also that the volatilities of the error terms ej and ez are both 10%. What is the covariance of n and r2 ? (Nearest 0.0001).
Suppose the utility function is U = E(r) - 0.5Ao2. Draw the indifference curve corresponding to a utility level of 0.2 for an investor with a risk aversion coefficient of 3. Please note the vertical line indicates expected return, and plot standard deviation on the horizontal line.
3. A market consists of two risky assets and no risk-free asset. Let R₁ and R₂ denote the return on each of the risky assets. Using market data the following have been estimated: E[R₁] = 0.10, E[R₂] = 0.15, o² = Var(R₁) = 0.1², o² = Var(R₂) = 0.2² and p1,2 = -1/2 where P1,2 denotes the correlation coefficient for R₁ and R₂. (i) Given that an investor is targeting a total expected return of portfolio, what is the minimum variance that can be achieved? = 0.125 on a (ii) Determine the global minimum variance portfolio and the expected return and variance of return on this portfolio. (iii) Using your answers to parts (i) and (ii) make a rough sketch of the minimum- variance set in - o2 space. You should indicate the efficient frontier and the global minimum variance portfolio. (iv) Without further calculation, explain how you would expect the variance of return calculated in (ii) to change if the two risky assets were independent.
PLEASE PUT IT IN EXCEL, IT HAS TO BE IN EXCEL NO OTHER WAY OTHER THEN IN EXCEL. USE EXCEL! Question 2: Consider two risky assets, S and B, with the following characteristics: E(rs) 9%, Os 20% E(TB) 5%, OB 5% and PBS - 1 a) Is it possible to combine the two assets a portfolio such that the portfolio has zero risk (i.e. zero standard deviation)? If so, what is the composition of the zero risk portfolio? b) Suppose that in addition to trading in the risky assets S and B, investors can also freely buy, sell or short-sell a risk-free asset with risk-free rate rf. What must be the risk-free rate re? What would happen otherwise?
18. If one were to plot the expected returns of assets (y axis) against the systematic risk (x-axis) and construct a frontier of investments, then the indifference curves of a risk-neutral investor would: Select one or more: a. Would be straight horizontal lines b. Would be undefined and impossible to plot on such a diagram c. Would increase in utility as you go up along the y-axis d. Would be straight vertical lines e. Coincide over top the efficient frontier boundary at all points f. Would increase in utility as you go left along the x-axis
Question 1 Are the following statements true or false? Provide a short justification for your answer. (You are evaluated on your justification.) Remember that a statement is false if any part of the statement is false. A single correct counterexample is sufficient to show that a statement is false. a) assets A, B, C, with expected returns and standard deviations: Suppose you are a mean-variance optimizer. The risk-free rate is 3%. There are three risky E [řa] = 10%, SD [FA] = 5% E [řB] = 15%, SD [řB] = 7% E [řc] = 12%, SD [řc] = 9% You cannot invest in all three risky assets. Instead, you have to choose whether to invest in only assets (A, B), or only assets (A, C). Asset B mean-variance dominates asset C, since it has higher return and lower standard deviation than asset C. Thus, as long as you are risk-averse, you would always prefer the set of assets (A, B) to the set assets (A, C). b) the same market B's. The covariance matrix between A, B, C is: Suppose the CAPM holds. Consider…
A diagram of the CML and SML for the market M, risk-free asset ry, an inefficient portfolio P, and a complete portfolio C is shown below. The diagram is not to scale. E(r) E(13) CML & CALP E(12) P C E(r) M 01 02 03 P βρ SML M Вм The values of the labeled variables are E[1] = 3.0%, E[12] = 10.3%, E[3] = 16.7%, σ₁ = 17.9%, σ = 30.0%, 03 = 44.3%. What is the standard deviation of nonsystematic risk for the complete portfolio σc under the CAPM? O a. 0.1374 O b. 0.1180 O c. 0.0988 d. 0.1105 O e. 0.0791 O f. 0.0913 Og. 0.0858 O h. 0.1443
DO NOT COPY FROM OTHER WEBSITES Correct and detailed answer will be Upvoted else downvoted. Thank you!
2. The following table gives information on the return and variance of assets A and B, whose covariance is 0.0003: A B 0} 0,0009 0,0012 E (R₂) 0,05 0,06 a. Does the portfolio (1/3 of A and 2/3 of B) dominate the portfolio (2/3 of A and 1/3 of B)? b. Does the portfolio (1/2, 1/2) belong to the efficient frontier? c. If there were the possibility of lending and borrowing at 2%, would the portfolio (1/2, 1/2) belong to the new efficient frontier?
True or false? Beta of MSFT is 0.7 and beta of RCL is 1.33. One can conclude that unsystematic risk of RCL is higher than unsystematic risk of MSFT.
choose the answer only
Asset A has an expected return of 20% and a standard deviation of 25%. The risk free rate is 10%. What is the reward-to- variability ratio (Sharpe ratio)? O 40 O .50 O .75 O.80

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