2. Consider two assets, S and B. The expected return on S is 12.2% while the expected return on B is 5.8 %. The standard deviation of Asset S returns is 20 %, while the standard deviation of Asset B returns is 10%. The correlation between Asset S and Asset B returns is 0.05. (a) What is the expected return on a portfolio with 20% of invested funds in S and 80% of invested funds in B? (b) What is the standard deviation of returns for a portfolio with 20% of invested funds in S and 80% of invested funds in B? (c) Compare your answers obtained in part (b) to the expected return and standard deviation of a portfolio will all funds invested in B, and summarize the principle demonstrated by the comparison. (d) Assume that the correlation of 0.05 was based on

2. Consider two assets, S and B. The expected return on S is 12.2% while the expected return on B is 5.8 %. The standard deviation of Asset S returns is 20 %, while the standard deviation of Asset B returns is 10%. The correlation between Asset S and Asset B returns is 0.05. (a) What is the expected return on a portfolio with 20% of invested funds in S and 80% of invested funds in B? (b) What is the standard deviation of returns for a portfolio with 20% of invested funds in S and 80% of invested funds in B? (c) Compare your answers obtained in part (b) to the expected return and standard deviation of a portfolio will all funds invested in B, and summarize the principle demonstrated by the comparison. (d) Assume that the correlation of 0.05 was based on

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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Suppose the average return on Asset A is 6.6 percent and the standard deviation is 8.6 percent and the average return and standard deviation on Asset B are 3.8 percent and 3.2 percent, respectively. Further assume that the returns are normally distributed. Use the NORMDIST function in Excel® to answer the following questions. a. What is the probability that in any given year, the return on Asset A will be greater than 11 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the probability that in any given year, the return on Asset B will be greater than 11 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c-1. In a particular year, the return on Asset A was −4.25 percent. How likely is it that such a low return will recur at some point in the future? (Do…
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1. Determine the expected return and the variance of the portfolio formed by the two assets S₁, S₂ with weights ₁ = 0.6, x2 = 0.4. The assets returns are described by the following scheme: scenario W1 2لا W3 probability 0.1 0.4 0.5 T1 -20% 0% 20% 12 -10% 20% 40%
uppose the average return on Asset A is 7.1 percent and the standard deviation is 8.3 percent, and the average return and standard deviation on Asset B are 4.2 percent and 3.6 percent, respectively. Further assume that the returns are normally distributed. Use the NORMDIST function in Excel® to answer the following questions. a. What is the probability that in any given year, the return on Asset A will be greater than 12 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the probability that in any given year, the return on Asset B will be greater than 12 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c-1. In a particular year, the return on Asset A was −4.38 percent. How likely is it that such a low return will recur at some point in the future? (Do not round…
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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
Q6. ) A portfolio is formed by investing 32% in Asset-1; 28% in Asset-2; and 40% in Asset-3. The covariances of the three assets with the market portfolio are 24, 36, and 48. The variance of the market portfolio is 40. If the risk - less rate is 7.5%, and the expected return on the market portfolio is 12.5%, what is the expected return of this portfolio, assuming that the CAPM is valid?

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