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)?
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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 of
16.5%? How would you allocate $3,000 to achieve this position
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- 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 calculationsElizabeth 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.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 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:Given the following information, what is the standard deviation of the returns on a portfolio that is invested 35 percent in both Stocks A and C, and 30 percent in Stock B? (see attached chart)You are considering two portfolios. Portfolio A has an expected return of 15% and a standard deviation of 30%. Portfolio B has an expected return of 6% and a standard deviation of 19%. What is the certainty equivalent of these portfolios, specifically when your risk aversion is such that you are indifferent between portfolio A and portfolio B?
- Which statement about portfolio diversification is CORRECT? i) Typically, as more securities are added to a portfolio, total risk would be expected to decrease at an increasing rate.ii) Proper diversification can reduce or eliminate total risk.iii) The risk-reducing benefits of diversification do not occur meaningfully until at least 50-60 individual securities have been purchased.iv) Because diversification reduces a portfolio's total risk, it necessarily reduces the portfolio's expected return.Consider the following portfolio choice problem. The investor has initial wealth w and utility u(x) = X^n/n . There is a safe asset (such as a US government bond) that has a net real return of zero. There is also a risky asset with a random net return that has only two possible returns, R1 with probability 1 − q and R0 with probability q. We assume R1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w−A is invested in the safe asset. Now find the share of wealth, α, invested in the risky asset. How does α change with wealth?which 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)]
- Consider the following portfolio choice problem. The investor has initial wealth w and utility u(x) = x^n/n . There is a safe asset (such as a US government bond) that has net real return of zero. There is also a risky asset with a random net return that has only two possible returns, R1 with probability 1 − q and R0 with probability q. We assume R1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A is invested in the safe asset. 1. What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving? 2. Find A as a function of w. 3. Does the investor put more or less of his portfolio into the risky asset as his wealth increases? 4. Now find the share of wealth, α, invested in the risky asset. How does α change with wealth? 5. Calculate relative risk aversion for this investor. How does relative risk aversion depend on wealth?Consider the following portfolio choice problem. The investor has initial wealth w and utility u(x) = (x^n)/n . There is a safe asset (such as a US government bond) that has net real return of zero. There is also a risky asset with a random net return that has only two possible returns, R1 with probability 1 − q and R0 with probability q. We assume R1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w−A is invested in the safe asset. What are risk preferences of this investor, are they risk-averse, risk- neutral or risk-loving? Find A as a function of w. Does the investor put more or less of his portfolio into the risky asset as his wealth increases?.Explain how a given investor chooses an optimal portfolio. Will this choice always be a diversified portfolio, or could it be a single asset? Explain your answer based on the utility curves and the efficient frontier.