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- Which of the following available portfolios most likely falls below the efficient frontier? The expected return and expected standard deviation of portfolio A is 7. 14 for portfolio B is 9, 26 and for portfolio C is 12, 22. B OC NoneThe 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 averseWhich of the following statements regarding the graph of the SML is most accurate? Select one O A. O B. B-1.0 The beta of Portfolios A, B, and C are identical as they fall directly on the line. The expected return of Portfolio C is the difference between the market's expected return and the risk-free rate. O C. Portfolio A has lower systematic risk than Portfolio B. OD. The slope of the line is the market risk premium.
- The Sharpe ratio Select one: O is computed using idiosyncratic risk only is computed using systematic risk only Ois maximized for the risk-free asset is the highest for a minimum variance portfolio is the same along the capital market lineIn a two-asset portfolio, a ________ covariance of returns between the two securities will lead to the greatest reduction in the variance of the portfolio. O negative O positive O relative systematicConsider the expected return and standard deviation of the following two assets: Asset 1: E[r1]=0.1 and σ1=0.2 Asset 2: E[r2]=0.3 and σ2=0.4 (a) Draw (e.g. with Excel) the set of achievable portfolios in mean-standard deviation space for the cases: (i) ρ12= -1, (ii) ρ12=0. (b) Suppose ρ12=-1. Which portfolio has the minimal variance? What is the variance and expected return of that portfolio? (c) Derive the formula for the variance of a portfolio with four assets.
- A portfolio that is positively correlated with the market portfolio but not particularly sensitive to market risk factors would have a beta that is A. Equal to zero. B. Equal to one. C. Less than zero. D. Between 0 and 1. E. Greater than 1.On the basis of the utility formula below, which investment would you select if you were risk averse with A = 4? Investment Expected return E(r) Standard deviation σ 1 0.12 0.30 2 0.15 0.50 3 0.21 0.16 4 0.24 0.21Which of the following statements is correct concerning a mean-variance efficient portfolio of risky assets in a world where there is also a risk-free asset? OA. It will be impossible to form a different portfolio yielding a lower level of risk unless the portfolio also earns a lower return, O B. Risk averse investors will only choose to invest in the market portfolio (M) regardless of the risk-free rate. OC. The portfolio will always achieve the maximum possible returns. O D. The portfolio will always be inside the feasible set.
- You are given the following Information concerning three portfolios, the market portfollo, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 14.10% 13.10 8.50 12.00 7.20 Information ratio op 39.00% 34.00 1.15 0.90 1.00 0 Assume that the tracking error of Portfolio X is 8.90 percent. What is the information ratio for Portfolio X? Note: A negative value should be indicated by a minus sign. Do not round Intermediate calculations. Round your answer to 4 decimal places. 6p 1.50 24.00 29.00 0The 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 o(R) 0.4 0.45 [H]Z 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. Figure (1) shows an investor with a conservative investment behavior. In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. 0.15 Figure 2 0.2 0.25 o (R) 0.3 0.35 0.4 0.45Which one of the following statements is correct? Multiple Choice The risk-free rate of return has a risk premium of 1.0. The reward for bearing risk is called the standard deviation. Risks and expected return are inversely related. The higher the expected rate of return, the wider the distribution of returns. Risk premiums are inversely related to the standard deviation of returns.