Information about Three investments as below Years Probability Investment A Investment B Investment C 1 0.1 300 850 500 2 0.2 350 560 600 3 0.35 280 450 700 4 0.2 460 680 800 5 0.15 500 700 900 If the investor wants to invest in any two of the above investments equally, which combination of two investments you select based on the portfolio risk?
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- An investor wants to determine the safest way to structure a portfolio from several investments, whose annual returns under different scenarios are as follows: Returns Scenario A B. D Probability 1. 0.11 -0.09 0.10 0.07 0.10 -0.11 0.12 0.14 0.06 0.10 3 0.09 0.15 0.11 0.08 0.10 4 0.25 0.18 0.33 0.07 0.30 0.18 0.16 0.1 0.06 0.40 9. Suppose the investor ignores the scenarios have different probabilities. If he has determined his risk aversion value is 0.75, what percentage of his portfolio should be invested in A? percent 2.Q/ Demonstrating the formation of an investment portfolio from the two sides (G.H) if the rates of return are favorable for each of them As follows - RG = 0.16,0.24,0.26, 0.14,0.20 RII = 0.32,0.24,0.28,0.20,0.36 %3D Required 1- Assuming that the investor will shape this portfolio. He allocated u of his wealth to the first investment and 25% of it to the second investment, and the correlation coefficient = 1 %3D what is The expected rate of return for the portfolioThe 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 averse
- (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.Consider the following information: The possible rate of return for a portfolio for an investment is shown below.Probability Possible rate of return 0.25 0.09 0.25 0.11 0.25 0.13 0.25 0.16What is the expected rate of return for the investment?1. Portfolio Choice 1 Assume that .02 E(R)-.18 and market) portfolio. Suppose that an investor's preferences are given by 3 where T. denotes the tangency (or U-ER)-20; where P denotes the investor's portfolio choice which combines proportion W of the market portfolio and proportion 1-W of the risk-free asset. A. Is this investor risk loving or risk averse? Please explain your reasoning. B. If the investor wants to maximize utility by allocating her wealth between the market portfolio and the risk-free asset, what proportion of wealth should she hold in the risk- free asset (1-W)? What is the risk and expected return of this utility-maximizing portfolio? Please explain your answers and illustrate graphically, being careful to label all axes.
- 1. calculate the beta of the portfolio below consisting of assets x, y and z. discuss the meaning of the number calculated and include in your answer what type of investor is likely to invest in this portfolio. Asset Weight (Wi) Beta (βi) X 0.30 0.09 Y 0.50 0.90 Z 0.20 0.16Assess how the Modern Portfolio Theory (MPT) may be used by investors to classify, estimate, and control expected risk to maximize portfolio expected return for a given investment. Help me with this. TQ.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.
- The following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 0.4 0.45 o (R) E[R] Figure (1) shows an investor with a conservative investment behavior. 0.3 0.25 0.2 0.15 0.1 0.05 0 0 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. 0.05 0.1 0.15 In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. O In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. Figure 2 0.2 0.25 o(R) 0.3 0.35 0.4 0.45(Portfolio VaR) Suppose there are two investments A and B. Either investment A or B has a 4.5% chance of a loss of $15 million, a 2% chance of a loss of $2 million, and a 93.5% change of a profit of $2 million. The outcomes of these two investments are independent of each other.You 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