QUESTIONS AND PROBLEMS 1. Assume that the following two-index model describes returns: R=a+b+b212 +e; Assume that the following three portfolios are observed. Portfolio ABC Expected Return 12.0 13.4 12.0 bil b₁₂ 0.5 1 0.2 3 -0.5 3 Find the equation of the plane that must describe equilibrium returns. 111 illustrate the arbitrage opportunities that
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- choose which one ? 3.Assume CAPM holds. What is the correlation between an efficient portfolio and the market portfolio?a.1b.-1c.0d.Not enough informationvuunyiuunu 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?Draw the profit diagram of the portfolio above (and clearly state any assumptions you make).Recall that the profit is equal to the difference between the payoff of the portfolio at expiry (maturity) date and the cost of the portfolio. Is the cost of the portfolio positive?
- 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 averse6. Equilibrium pricing: Let the subscripts: j = 0 denote the risk-free asset, j = 1,...,n the set of available risky securities, and M the market portfolio. For the questions that follow, assume that CAPM provides an accurate description of reality. a. b. C. d. State the CAPM equation. (1) Use the CAPM equation to show that the following condition is true s; ≤ SM for any j. What is the significance of this condition when interpreted in the context of the capital market line? (5) Assume that B = 0.8, μM = 0.1 and r = 0.05. Using the CAPM, determine the expected return from holding one unit of asset j for one period. (2) Given your answer to c.), what could you conclude (from the perspective of the security market line) if a market survey indicated that the forecasted one- period return on asset j was 8 percent? Describe and motivate the rational trading response that is consistent with your conclusion. (4)Consider the following performance data for a portfolio manager: Benchmark Portfolio Index Portfolio Weight Weight Return Return Stocks 0.65 0.7 0.11 0.12 Bonds 0.3 0.25 0.07 0.08 Cash 0.05 0.05 0.03 0.025 a.Calculate the percentage return that can be attributed to the asset allocation decision. b.Calculate the percentage return that can be attributed to the security selection decision.
- A. Realized return B. Ex ante alpha C. Ex post alpha D. Realized beta Question 7 (MCQ) One example of a build up model is: A. A macroeconomic model B. Capital Asset Pricing Model (CAPM) C. Bond yield plus risk premium D. Fama and French modelrisk premium (RP) expected return on a portfolio,r^P realized rate of return, r¨ diversification correlation coefficient, ρρ firm-specific (diversifiable) risk market (nondiversifiable) risk relevant risk beta coefficient, ββ capital asset pricing model (CAPM) security market line (SML) market risk premium (RPM) equilibrium Define all termsYou are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 11.0% ор 33.00% 10.0 28.00 8.1 10.4 5.2 18.00 23.00 Ө вр 1.45 1.20 0.75 1.00 Ө Assume that the correlation of returns on Portfolio Y to returns on the market is 0.66. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places. R-squared
- explain 1. inefficient and efficient portfolio 2. min risk per unit of return and max risk per unit of return 3. expected return 4. required rate of returnwhich one is correct? QUESTION 6 Given a portfolio of stocks, the envelope curve containing the set of best possible combinations is known as the a. efficient frontier. b. utility curve. c. last frontier. d. efficient portfolio. e. capital asset pricing model.Refer to the graph below, what is the beta of portfolio X under CAPM? E(r) A 0.14 0.10 0.06 N Beta of portfolio X = place) M X o(r) (to the nearest 1 decimal