Asset A has a standard deviation of 0.17, and asset B has a standard deviation of 0.52. Assets A and B have a correlation coefficient of 0.44. What is the standard deviation of a portfolio consisting with a weight of 0.40 in asset A, a weight of 0.24 in asset B, and the remainder invested in a risk-free asset? Give your answer to four decimal places.

Asset A has a standard deviation of 0.17, and asset B has a standard deviation of 0.52. Assets A and B have a correlation coefficient of 0.44. What is the standard deviation of a portfolio consisting with a weight of 0.40 in asset A, a weight of 0.24 in asset B, and the remainder invested in a risk-free asset? Give your answer to four decimal places.

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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Consider two assets A and B with expected return as 9% and 5%, respectively. Standard deviation of Asset A is 18% and B is 4.5%. A portfolio is created with 40% in asset A and 60% in asset B. What is the expected return and standard portfolio? deviation of the Correlation between the two asset is -0.5. 6.6%,3.4% 4.5%,3.3% 6.6%,6.3% 5.5%,6.3%
Assume I am holding a portfolio of two risky assets with standard deviations of 1. Assume also that I am holding the minimum variance portfolio of these two assets. I do not know the correlation of these assets but I do know that it's not equal to one. Which of the below statements is true based on the information above? O Portfolio's standard deviation is equal to 1/2. Portfolio's return is equal to 1/2. O Portfolio weights of the two assets are equal to 1/2. None of the above statements is true. Portfolio's Sharpe ratio is equal to 1/2.
You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 9 percent and 14 percent, respectively. The standard deviations of the assets are 25 percent and 33 percent, respectively. The correlation between the two assets is .33 and the risk - free rate is 4.2 percent. What is the optimal Sharpe ratio in a portfolio of the two assets? What is the smallest expected loss for this portfolio over the coming year with a probability of 2.5 percent? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your Sharpe ratio answer to 4 decimal places and the z-score value to 3 decimal places when calculating your answer. Enter your smallest expected loss as a percent rounded to 2 decimal places.)
Consider two risky assets that have returns variances of 0.0625 and 0.0324, respectively. The assets' standard deviations of returns are then 25% and 1 8%, respectively. Calculate the variances and standard deviations of portfolio returns for an equal-weighted portfolio of the two assets when their correlation of returns is 1.
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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Assuming that the rates of return associated with a given asset investment are normally distributed; that the expected return, r, is 18.7%; and that the coefficient of variation, CV, is 1.88, answer the following questions: a. Find the standard deviation of returns, sigma Subscript rσr. b. Calculate the range of expected return outcomes associated with the following probabilities of occurrence: (1) 68%, (2) 95%, (3) 99%.
D5)
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 %
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Y Z Market Risk-free Rp 16.00% бр 32.00% 15.00 27.00 7.30 17.00 11.30 5.80 22.00 0 Bp 1.90 1.25 0.75 1.00 0 Assume that the tracking error of Portfolio X is 13.40 percent. What is the information ratio for Portfolio X? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 4 decimal places. Information ratio
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Bella Wans is interested in buying a new motorcycle. She has decided to borrow the money to pay the $20,000 purchase price of the bike. She is in the 30% income tax bracket. She can either borrow the money at an interest rate of 7% from the motorcycle dealer, or she could take out a second mortgage on her home. That mortgage would come with an interest rate of 8%.Interest payments on the mortgage would be tax deductible for Bella, but interest payments on the loan from the motorcycle dealer could not be deducted on Bella's federal tax return. a. Calculate the after-tax cost of borrowing from the motorcycle dealership. b. Calculate the after-tax cost of borrowing through a second mortgage on Bella's home. c. Which source of borrowing is less costly for Bella?

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