PS04-solution

Hi there, I am trying to figure out how to calculate 5 data points so I can plot the feasible set of portfolios for A, B and C on a graph. I am unsure of the process to calculate the data points.   ρ23 is +1.0 Thank you

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(Click on the icon here into a spreadsheet.) T in order to copy the contents of the data table below Investment X Y Z Expected return 17% 17% 17% Standard deviation 7% 8% 9%

6. Use Excel, Calculator, and Formula. Show your work. Based on the data below, estimate the following: E(r) = [Probability of Economic State x Return in Economic State 0² (r) = [[Return in State; - E(r)]³ x Probability of State; a. Estimate the expected return and risk of Asset A (TESLA) b. Estimate the Expected Return and risk of Asset B (APPLE) c. Estimate the Expected return and risk of a 60A and 40B portfolio d. Summarize your results and determine whether the Portfolio Diversification helped decrease the investment risk. Explain your answer. State of the Economy Probability of Economic State S Pr 1 N 0.6 Return In Economic State TESLA APPLE R R 0.27 -0.10 -0.15 0.35

Question 1 Fill the parts in the above table that are shaded in yellow. You will notice that there are nineline items.  Question 2Using the data generated in the previous question (Question 1);a) Plot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above and below the SML? d) If an investment’s expected return (mean return) does not plot on the SML, what doesit show? Identify undervalued/overvalued investments from the graph

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Question 1Fill the parts in the above table that are shaded in yellow. You will notice that there are nineline items. Question 2 Using the data generated in the previous question (Question 1)a) Plot the Security Market Line b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above and below the SML?d) If an investment’s expected return (mean return) does not plot on the SML, what doesit show? Identify undervalued/overvalued investments from the graph

Assume you are risk-averse and have the following three choices. Standard Deviation Project A B C Expected Value $ 2,520 2,930 2,480 $ 1,420 1,050 1,040 a. Compute the coefficient of variation for each. Note: Round your answers to 3 decimal places. Project A B C Coefficient of Variation b. Which project will you select? O Project C O Project A O Project B

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Analyze investment M and investment J using the below. Scenario Probability M Return J Return Strong .30 18% 20% Normal .30 15% 12% Weak .40 9% 5% 1. What is the range for M? 2. What is the average exp. return for M ? 3. What is the standard deviation* M? 3.85 (given) 4. What is the CV for M? 5. What is the range for J? 6. What is the average exp. return for J? 7. What is the standard deviation J? 6.22 (given) 8. What is the CV for J? 9. Which is the better choice?

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- Exercise 2 An investor who maximizes a linear mean-variance utility, U(µp, σp) μpaσ, optimally invests half of her wealth in asset 1, having expected re- turn μ₁ = 10% and standard deviation σ1 10%, and half of her wealth in a risk-free asset, having return FR = 4%. = (a) Find the efficient frontier and represent it in the plane (σp, μP) (assuming that the investor feasible portfolios can include a short position in the risk- free asset). (b) Find the risk-aversion parameter a of the investor. (c) Using the same efficient frontier, for which levels of risk-aversion parameter the investor has a negative position in the risk-free asset? =