You are going to invest in Asset J and Asset S. Asset J has an expected return of 13.6 percent and a standard deviation of 54.6 percent. Asset S has an expected return of 10.6 percent and a standard deviation of 19.6 percent. The correlation between the two assets is 60. What are the standard deviation and expected return of the minimum variance portfolio? (Round your answer to 2 decimal places. Omit the "%" sign in your response.) Standard deviation Expected return % %

You are going to invest in Asset J and Asset S. Asset J has an expected return of 13.6 percent and a standard deviation of 54.6 percent. Asset S has an expected return of 10.6 percent and a standard deviation of 19.6 percent. The correlation between the two assets is 60. What are the standard deviation and expected return of the minimum variance portfolio? (Round your answer to 2 decimal places. Omit the "%" sign in your response.) Standard deviation Expected return % %

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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Asset W has an expected return of 13.4 percent and a beta of 1.6. If the risk-free rate is 5.0 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Do not round intermediate calculations and enter your expected return answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 3 decimal places, e.g., 32.161.) Asset W has an expected return of 13.4 percent and a beta of 1.6. If the risk-free rate is 5.0 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Do not round intermediate calculations and enter your expected return answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 3 decimal places, e.g., 32.161.)
Asset W has an expected return of 8.8 percent and a beta of .9O. If the risk-free rate is 2.6 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Do not round intermediate calculations. Enter your expected returns as a percent rounded to 2 decimal places, e.g., 32.16, and your beta answers to 3 decimal places, e.g., 32.161.) Answer is complete and correct. Percentage of Portfolio in Asset W Portfolio Expected Portfolio Return Beta % 2.60 % 25 4.15 % 0.225 50 5.70 % 0.450 75 7.25 % 0.680 100 8.80 % 0.900 125 10.35 % 1.130 150 11.90 % 1.350 you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) If X Answer is not complete. Slope of the line
Asset W has an expected return of 8.8 percent and a beta of .90. If the risk-free rate is 2.6 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Do not round intermediate calculations. Enter your expected returns as a percent rounded to 2 decimal places, e.g., 32.16, and your beta answers to 3 decimal places, e.g., 32.161.) Percentage of Portfolio in Portfolio Expected Portfolio Asset W Return Beta 0 % % 25 % 50 % 75 % 100 % 125 % 150 % If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Slope of the line %
Calculate the standard deviation of a portfolio with 0.24 invested in Asset A, 0.33 invested in Asset B, and the rest invested in Asset C. Express your answer as a decimal with four digits after the decimal point (e.g., 0.1234, not 12,34%). Std Dev(A) = 0.43, Std Devirg) = 0.67. Std Dev(rc)=0.53 Correlation(A) =-0.24, Correlation(Arc)-0.32, Correlationirere)=0.09 Type your answer.....
An investor has a portfolio of two assets A and B. The details are shown in the below table. Portfolio Details Asset Expectedreturn Standarddeviation Covariance (A, B) Expected Portfolio Return A 0.06 0.5 0.12 0.1 B 0.08 0.8 Which one of the following statements is NOT correct? a. The portfolio weight in asset A is -100%. b. The correlation of asset A and B’s returns is 0.3. c. The investor can benefit from a fall in the price of asset A. d. The variance of the portfolio is 2.33. e. The order of short selling is borrowing, buying, selling, and returning.
Asset W has an expected return of 8.8 percent and a beta of .85. If the risk-free rate is 2.6 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Leave no cells blank be certain to enter "0" wherever required. Do not round intermediate calculations. Enter your expected return answers as a percent rounded to 2 decimal places, e.g., 32.16, and beta answers to 3 decimal places, e.g., 32.161.) Percentage of Portfolio Portfolio Expected in Asset W Return 0% 25 50 75 100 125 150 - Slope of the line % % % % % % % If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Portfolio Beta %
Consider the expected return and standard deviation of the following two assets: Asset 1: E[r1]=0.1 and σ1=0.2 Asset 2: E[r2]=0.3 and σ2=0.4 (a) Draw (e.g. with Excel) the set of achievable portfolios in mean-standard deviation space for the cases: (i) ρ12= -1, (ii) ρ12=0. (b) Suppose ρ12=-1. Which portfolio has the minimal variance? What is the variance and expected return of that portfolio? (c) Derive the formula for the variance of a portfolio with four assets.
You are going to invest in Asset J and Asset S. Asset J has an expected return of 14.2 percent and a standard deviation of 55.2 percent. Asset S has an expected return of 11.2 percent and a standard deviation of 20.2 percent. The correlation between the two assets is .50. What are the standard deviation and expected return of the minimum variance portfolio? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Omit the "%" sign in your response.) Standard deviation Expected return 11.01 % %
If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) | Slope of the line %
Asset W has an expected return of 12.6 percent and a beta of 1.25. If the risk-free rate is 4.6 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Leave no cells blank be certain to enter "0" wherever required. Do not round intermediate calculations. Enter your expected returns as a percent rounded to 2 decimal places, e.g., 32.16, and your beta answers to 3 decimal places, e.g., 32.161.) Percentage of Portfolio in Asset W 0% 25 50 75 100 125 150 - Slope of the line Portfolio Expected Return % % % % % % % If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Portfolio Beta %
An investiment portfolio consists of two securities, X and Y. The weight of X is 30%. Asset X's expected return is 15% and the standard deviation is 28%. Asset Y's expected return is 23% and the standard deviation is 33%. Assume the correlation coefficient between X and Y is 0.37. A. Calcualte the expected return of the portfolio. B. Calculate the standard deviation of the portfolio return. C. Suppose now the investor decides to add some risk free assets into this portfolio. The new weights of X, Y and risk free assets are 0.21, 0.49 and 0.30. What is the standard deviation of the new portfolio?
An asset has normally-distributed returns, with mean of 10.6% and standard deviation of 14.8%. What is the 2% VaR (value at risk) return? Enter answer in percents.

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