Homework Answers
The optimal risky portfolio is found at the point where the CAL is tangent to the efficient frontier. Hence it is also known as tangency portfolio.
When you analyze a set of assets using mean-variance analysis, the tangency portfolio is the portfolio with the highest Sharpe ratio. It's called the tangency because it's located at the tangency point of the Capital Allocation Line and the Efficient Frontier.
The selection of the optimal portfolio set depends upon the degree of risk aversion of the investor.
It is not the same for all investors. Since we have to choose the incorrect choice, Option A is correct.
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Which of the following statement is wrong about the optimal risky portfolio? It is the same...
An investor's risk aversion determines her a. optimal mix of assets in her risky portfolio b....
An investor's risk aversion determines her a. optimal mix of assets in her risky portfolio b. risk-free rate on borrowing c. Sharpe ratio d. capital allocation line e. optimal risky portfolio f. risk-free rate on lending
Which of the following is a TRUE statement? A The tangent portfolio is the risky portfolio...
Which of the following is a TRUE statement? A The tangent portfolio is the risky portfolio on the efficient frontier whose tangent line cuts the horizontal axis at the risk-free rate. B The new (or super) efficient frontier represents the portfolios composed of the risk-free rate and the tangent portfolio that offers the highest expected rate of return for any given level or risk. C The separation theorem states that the investment decision, (how to construct the portfolio of risky...
2. Consider an economy with 2 risky assets and one risk free asset. Two investors, A...
2. Consider an economy with 2 risky assets and one risk free asset. Two investors, A and B, have mean-variance utility functions (with different risk aversion coef- ficients). Let P denote investor A's optimal portfolio of risky and risk-free assets and let Q denote investor B's optimal portfolio of risky and risk-free assets. P and Q have expected returns and standard deviations given by P Q E[R] St. Dev. 0.2 0.45 0.1 0.25 (a) What is the risk-free interest rate...
which of the following statement is true regarding the selection of a portfolio from this e...
which of the following statement is true regarding the selection of a portfolio from this e that lie on the capital allocation line? a. less risk-averse investors will invest more in the risk -free security and less in the optimal risky portfolio than more risk averse investors. b. more risk-averse investors will invest less in the optimal risky portfolio and more in the risk-free security than less risk -averse investors. c. all investors will have the same capital allocation d....
Tom has $10,000. He can invest the money in (1) a corporate bond, (2) a stock,...
Tom has $10,000. He can invest the money in (1) a corporate bond, (2) a stock, and (3) the risk-free T-bill. The table below provides these assets’ expected returns and standard deviations: Bond (D) Stock (E) T-Bill (F) Expected Return 5% 10% 2% Standard Deviation 10% 20% 0 The coefficient of correlation between the corporate bond and the stock (ρDE) is 30%. Tom has a risk aversion coefficient of A=5. To construct the optimal portfolio with two risky assets and...
A. Capital Allocation Lines The optimal CAL is found as the ray from the risk free...
A. Capital Allocation Lines The optimal CAL is found as the ray from the risk free rate that is tangent to the _____________ and is called the ________________. efficient frontier; CML minimum variance portfolio; high range CAL indifference curve; SML lower half of the investment opportunity set; CAPM B. Capital Allocation Portfolio 1 has a standard deviation of 35% and a Sharpe ratio of 0.48. Portfolio 2 has a standard deviation of 29% and a Sharpe ratio of 0.44. Portfolio...
15. Which of the following statements is True? When creating a complete portfolio by a risky...
15. Which of the following statements is True? When creating a complete portfolio by a risky portfolio and a risk-free asset, a higher allocation to the risky portfolio increases the Sharpe ratio. The lower the risk-free rate, the lower the Sharpe ratios of levered portfolios. With a positive and fixed risk-free rate, doubling the expected return and standard deviation of the risky portfolio will double the Sharpe ratio. Holding constant the risk premium of the risky portfolio, a higher risk-free...
Question 19 5 pts A risky fund has an expected return of 10% and standard deviation...
Question 19 5 pts A risky fund has an expected return of 10% and standard deviation of 18%. The risk-free rate is 6%. Arisk-averse investor having a risk aversion coefficient (A) equal to 3.5. is considering investing a portion of her retirement money in the risky fund with the remainder in cash. The Sharpe ratio of her optimal complete portfolio is: O 0.22 045 0.35 Can't tell from information provided. Need the return and risk of the optimal complete portfolio....
An investor having a risk aversion coefficient (A) equal to 1.5 is considering three portfolios of varying ris as s...
An investor having a risk aversion coefficient (A) equal to 1.5 is considering three portfolios of varying ris as shown in the table below. Assuming a risk-free rate equal to 4%, which statement below is CORRECT? Investment Table Portfolio Return Volatility Sharpe Ratio Low Risk 7% 10% 0.30 Medium Risk 10% 20% 0.30 High Risk 13% 30% 0.30 Utility of High Risk Portfolio = 6.25% Of the three portfolios, the Medium Risk portfolio provides the highest utility to the investor....
Say the optimal risky portfolio has a weight of 50% in VTI and 50% in VCIT....
Say the optimal risky portfolio has a weight of 50% in VTI and 50% in VCIT. Portfolio A is the portfolio that is composed of 30% in VTI and 70% in VCIT, and Portfolio B is composed of 40% in VTI and 60% in VCIT. Which statement is False? a) Portfolio A has a lower expected return than Portfolio B b) Portfolio A has a lower volatility than Portfolio B c) Portfolio A has a lower Sharpe ratio than Portfolio...
2. Consider an economy with 2 risky assets and one risk free asset. Two investors, A and B, have mean-variance utility functions (with different risk aversion coef- ficients). Let P denote investor A's optimal portfolio of risky and risk-free assets and let Q denote investor B's optimal portfolio of risky and risk-free assets. P and Q have expected returns and standard deviations given by P Q E[R] St. Dev. 0.2 0.45 0.1 0.25 (a) What is the risk-free interest rate...
15. Which of the following statements is True? When creating a complete portfolio by a risky portfolio and a risk-free asset, a higher allocation to the risky portfolio increases the Sharpe ratio. The lower the risk-free rate, the lower the Sharpe ratios of levered portfolios. With a positive and fixed risk-free rate, doubling the expected return and standard deviation of the risky portfolio will double the Sharpe ratio. Holding constant the risk premium of the risky portfolio, a higher risk-free...
Question 19 5 pts A risky fund has an expected return of 10% and standard deviation of 18%. The risk-free rate is 6%. Arisk-averse investor having a risk aversion coefficient (A) equal to 3.5. is considering investing a portion of her retirement money in the risky fund with the remainder in cash. The Sharpe ratio of her optimal complete portfolio is: O 0.22 045 0.35 Can't tell from information provided. Need the return and risk of the optimal complete portfolio....
An investor having a risk aversion coefficient (A) equal to 1.5 is considering three portfolios of varying ris as shown in the table below. Assuming a risk-free rate equal to 4%, which statement below is CORRECT? Investment Table Portfolio Return Volatility Sharpe Ratio Low Risk 7% 10% 0.30 Medium Risk 10% 20% 0.30 High Risk 13% 30% 0.30 Utility of High Risk Portfolio = 6.25% Of the three portfolios, the Medium Risk portfolio provides the highest utility to the investor....
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