Rational risk-averse investors will always prefer portfolios located on the efficient frontier to those located on the tangent capital market line located on the tangent capital market line to those located on the efficient frontier at or near the minimum variance point on the efficient frontier Rational risk-averse investors prefer the risk-free asset to all other assets
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- Consider two investors A and B.If the Certainty-Equivalent end-of-period wealth of A is less than the Certainty-Equivalent end-of-period wealth of B for the same portfolio choice,then A. Risk aversion of A > Risk aversion of B B. Risk aversion of A = Risk aversion of B C. Risk aversion of A< Risk aversion of B D. Not enough Information Justify your choice in a sentence or two:Suppose the expected return on the tangent portfolio is 12% and its volatility is 30%.The risk-free rate is 3%.(a) What is the equation of the Capital Market Line (CML)?(b) What is the standard deviation of an efficient portfolio whose expected return of16.5%? How would you allocate $3,000 to achieve this positionIn stock index future hedging, the optimal number of contracts used to hedge depends on the beta of the equity portfolio when the stock index represents the entire stock market. Which of the following regarding the beta (in the above statement) is correct? The beta is the slope of the best fit line when the futures price (on the y-axis) is regressed against the spot price (on the x-axis). The beta is the slope of the best fit line when the spot price (on the y-axis) is regressed against the futures price (on the x-axis). The beta is the slope of the best fit line when the change in the futures price (on the y-axis) is regressed against the change in the spot price (on the x-axis). The beta is the slope of the best fit line when the change in the spot price (on the y-axis) is regressed against the change in the futures price (on the x-axis). None of the above
- Unsystematic risk is not compensated in equilibrium because it can be eliminated for free through diversification. Select one: True FalseThe information contained in the table below shows the expected return and standard deviation for the market and Treasury Bills. Market Data Rate of Return Standard Deviation Treasury Bills 4.25% 0.00% S&P 500 12.00% 21.00% Required: Using the information in the table above and the varying risk aversions below, please calculate allocations to the risky and risk-free assets. (Use cells A5 to C6 from the given information to complete this question.) Risk Aversion Percent Allocated to the Market (S&P 500) Percent Allocated to Treasury Bills 4.00 2.00 1.50which one is correct? QUESTION 12 Exhibit 6B.1 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) The general equation for the weight of the first security to achieve the minimum variance (in a two-stock portfolio) is given by: W1 = [E(σ1)2 − r1.2 E(σ1) E(σ2)] &χεδιλ; [E(σ1)2 + E(σ2)2 − 2 r1.2 E(σ1) E(σ2)] Refer to Exhibit 6B.1. Show the minimum portfolio variance for a portfolio of two risky assets when r1.2 = − 1. a. E(σ1) &χεδιλ; [E(σ1) − E(σ2)] b. E(σ2) &χεδιλ; [E(σ1) − E(σ2)] c. None of these are correct. d. E(σ1) &χεδιλ; [E(σ1) + E(σ2)] e. E(σ2) &χεδιλ; [E(σ1) + E(σ2)]
- Portfolios A, B, and C all lie on the efficient frontier that allows for risk-free borrowing and lending. Portfolio A and B have the following expected returns and return variances: A: μ_A=0.0925 , σ_A^2=0.0225 ; B: μ_B=0.11 , σ_B^2=0.04. Portfolio C’s return has variance σ_C^2=0.1225. What is the expected return and Sharpe ratio of Portfolio C? What is the risk-free interest rate? Explain your calculationsWhich statement is true: The minimum variance hedge Select one: a. is the point at the utmost left of the efficient frontier of risky assets b. minimizes the variance of the hedged position of spot and futures c. can be obtained from linearly regressing the changes in the spot price on the changes of the market portfolio d. None of the above statements is true.QUESTION 1 Elizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into stock 2. She assumes that the expected returns will be 10% and 18%, respectively, and that the standard deviations will be 15% and 24%, respectively. Compute the standard deviation of the returns on the portfolio assuming that the two stocks' returns are uncorrelated. 17.4%. 27.4%. 7.4%. 11.4%. QUESTION 2 Elizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into stock 2. She assumes that the expected returns will be 10% and 18%, respectively, and that the standard deviations will be 15% and 24%, respectively. Describe what happens to the standard deviation of the portfolio returns when the coefficient of correlation ρ decreases. The standard deviation of the portfolio returns decreases as the coefficient of correlation decreases. The standard deviation of the portfolio returns increases as the coefficient…
- Consider an economy where Capital Asset Pricing Model holds. In this economy, stocks A and B have the following characteristics: • Stock A has and expected return of 22% and a beta of 2. • Stock B has an expected return of 15% and a beta of 0.8. The standard deviation of the market portfolio’s return is 18%. (a) Assuming that stocks A and B are correctly priced according to the CAPM, compute the risk-free rate and the market risk premium.Find the Pratt - Arrow risk - aversion function for a utility function U(W) = log(0.5-W + 500), where W is the amount of wealth in €. Suppose that an investor's wealth is subject to outcomes -800 €, 500 €, 500 € and 1, 000 € which affect the initial amount of 2,500 € with probabilities of their occurrence 40%, 15%, 15% and 30%, respectively. a) Using the Taylor approximation to certainty equivalent, calculate an approximate expected utility value. b) Calculate the certain equivalent of the investor's uncertain wealth. Interpret.Elizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into stock 2. She assumes that the expected returns will be 10% and 18%, respectively, and that the standard deviations will be 15% and 24%, respectively. Describe what happens to the standard deviation of the portfolio returns when the coefficient of correlation ρ decreases. The standard deviation of the portfolio returns decreases as the coefficient of correlation decreases. The standard deviation of the portfolio returns increases as the coefficient of correlation increases. The standard deviation of the portfolio returns decreases as the coefficient of correlation increases. The standard deviation of the portfolio returns increases as the coefficient of correlation decreases.