Consider two perfectly negatively correlated riskysecurities A and B. A has an expected rate ofreturn of 10% and a standard deviation of 16%. Bhas an expected rate of return of 8% and astandard deviation of 12%. An investor whowishes to form a portfolio that lies to the right ofthe optimal risky portfolio on the CapitalAllocation Line must:A. lend some of her money at the risk-free rate.B. borrow some money at the risk-free rate andinvest in the optimal risky portfolioC. invest only in risky securitiesD. such a portfolio cannot be formedE. both borrow some money at the risk-free rateand invest in the optimal risky portfolio and investonly in risky securities

Capital allocation line graphically depicts the risk-reward profile of assets which helps in…

Answered: standard deviation of 12%. An investor…

standard deviation of 12%. An investor who wishes to form a portfolio that lies to the right of the optimal risky portfolio on the Capital Allocation Line must:

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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The risk-free rate is currently 3.3%, and the market return is 14.8%. Assume you are considering the following investments: Investment Beta A 1.54 B 1.16 C 0.51 D 0.11 E 2.14 . a. Which investment is most risky? Least risky? b. Use the capital asset pricing model (CAPM) to find the required return on each of the investments. c. Find the security market line (SML), using your findings in part b. d. On the basis of your findings in part c, what relationship exists between risk and return? Explain.
There are two risky assets and a riskfree asset. The riskfree rate is 0.03. The first risky asset has expected rate of return 0.18 and standard deviation 0.3; the second risky asset 0.09 and 0.2. Their correlation is 0.1. A portfolio on the best feasible CAL has an expected return of 0.12. Then this portfolio's portfolio weight on the first risky asset is 0%. (Enter a percentage number and keep 3 decimal places).
Consider two types of assets: market portfolio (M) and stock A. The expected return is 8% and standard deviation of the market portfolio is 15%. The risk-free rate is 2%. The standard deviation of market portfolio returns is 15%. The standard deviation of stock A is 30%, and the beta coefficient is 1. Draw the capital market line and show the position of stock A.
Considering the attached set of securities and portfolio returns: Find the combination of the weights that minimizes CV of the portfolio. How does the CV of the optimal portfolio compare with the CVs of its constituents?
Calculate the optimal risky portfolio for the following cases when short-sales are allowed. Compute its expected return and the standard deviation of its returns. 1. Two risky assets: Rp = 3, R' = [6, 9], and 4 5 5 20 2. Three risky assets: Rp = 4, R' = [5,9, 8], and [10 0 0 E=0 40 0 0 20 3. Three risky assets: Rp = 5, R' = [12, 9, 8], and 40 10 -5] E= 10 20 0 5 0 30 4. Five risky assets: Rp = 2, R' = [5, 3, 18, 9, 2], and %3D 2 16 0. -12 5 -12 20 16 10 7 14 27 14 9. -13 8. 7 27 13
The expected return for asset A is 4.00% with a standard deviation of 9.00%, and the expected return for asset B is 6.75% with a standard deviation of 3.00%. Based on your knowledge of efficient portfolios, fill in the blanks in the following table with the appropriate answers. Proportion of Portfolio in Security A WA 1.00 0.75 0.50 0.25 0.00 Proportion of Portfolio in Security B WB 0.00 0.25 0.50 0.75 1.00 Expected Portfolio Return FP 4.00% 4.69% 6.06% 6.75% Standard Deviation Op Case I (PAB= -0.4) 6.5 4.1 2.5 3.0 Standard Deviation op Case II (PAB= 0.3) 9.0 5.2 3.6 3.0 The minimum risk portfolio allocation to asset A within the portfolio for case III is. Therefore, you are better off Standard Deviation op Case III (PAB=0.8) 9.0 7.4 5.8 ▼ 3.0
You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 34%. The T-bill rate is 4%. Suppose that your client prefers to invest in your fund a proportion y that maximizes the expected return on the complete portfolio subject to the constraint that the complete portfolio's standard deviation will not exceed 10%. Required: a. What is the investment proportion, y? b. What is the expected rate of return on the complete portfolio?
You are evaluating various investment opportunities currently available and you have the fol-lowing information about five different well-diversified portfolios of risky assets. Interest raterf = 3% a) Calculate the Sharpe ratio for each portfolio. (b) Explain which of these five portfolios is most likely to be the optimal risky portfolio. (c) Suppose you are willing to invest with an expected return of 6%. What would be theinvestment proportions in the riskless asset and the optimal risky portfolio? What is thestandard deviation of the return for this investment?
The risky portfolio expected return and standard deviation is 14% and 20%, respectively. The risk free rate is 5%. The risk aversion coefficient A is 2.5 and 4 for Mary and Kim, respectively. Answer the following questions: A. Who is more risk averse? B. What is the capital allocation y to the risky portfolio for each investor? C. Suppose investors have the following utility function: U = E(R) - ¹2 Ao² Calculate the Utility level for each investor's optimal complete portfolio.
For a risk-averse investor, which of the following portfolios would be preferred? Portfolio B, with a Sharpe Ratio of 3. Portfolio A, with a Sharpe Ratio of 4. Portfolio D, with a Sharpe Ratio of 1. Portfolio C, with a Sharpe Ratio of 2.

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