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- The portfolio opportunity set (i.e., all possible combinations) between two uncorrelated assets is a. a triangle b. a curve c. two straight lines that reach the zero-risk portfolio d. a straight linevuunyiuunu assumption of "y. Q2. How portfolio return and risk is calculated? Explain the role of correlation among asset in portfolio? Why this correlation is important?3.1 Show that for any portfolio w = equal to (wi,..., wn) the Beta of the portfolio is Bw = wiB1 + + wn Bn, !! ... where B; for i = 1,...,n are Betas of individual assets.
- An efficient portfolio is one that: Select one: a. maximises return for a given level of risk. b. maximises risk for a given level of return. c. minimises risk for a given rate of return. d. Both A and C. are efficient portfolios.Q .1 What is the Sharpe measure of:i. Portfolio A?ii. Portfolio C?iii. Portfolio E? Q.2 What is the Treynor measure of:i. Portfolio A?ii. Portfolio C?iii. Portfolio E?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.
- b. Suppose that you have the following information of three risky assets. Security Return (%) Standard Covariance with Deviation (%) A B A 11 10 4 14 6. 30 17 Risk free rate = 6%, (assume that A = 6). Requirement: Find the optimal portfolio weight of risky assets. How do you allocate the capital between optimal portfolio of risky asset and risk-free assets.The Capital Market Line (CML) expresses the risk-return trade-off for a portfolio as follows: E(Rport )=RFR+Oport [(E(Rm)-RFR)/om ] Required: Extend this expression to allow for the evaluation of any individual risky Asset i. Explain the steps in details.Portfolio risk is comprised of risk risk. Select one: O a. firm-specific; plus diversifiable b. systematic; minus unsystematic O c. diversifiable; plus unsystematic O d. market; plus non-diversifiable O e. market; plus firm-specific
- (b) The graph below shows possible portfolios with different combinations of risky portfolio and risk-free investment on new efficient frontier. E(R port ) NEW EFFICIENT FRONTIER PA RFR E(o pon) port i. Explain how do investors achieve new efficient frontier. ii. Explain the investor's risk profile of portfolio Pa and portfolio Pg.As diversification increases, the firm-specific risk of a portfolio approaches A. 1. B. infinity. C. 0. D. (n – 1) × n.6. Capital market line A. is formed by combining the risk-free asset with an efficient portfolio B. contains portfolios that provide the highest Sharp ratio C. is tangent to the efficient frontier of risky assets D. all of the above