Consider two stocks, Stock D with an expected return of 21 percent and a standard deviation of 36 percent and Stock I, an international company, with an expected return of 9 percent and a standard deviation of 24 percent. The correlation between the two stocks is -22. What are the expected return and standard deviation of the minimum variance portfolio? (Round your answer to 2 decimal places. Omit the "%" sign in your response.) Expected return Standard deviation % %
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- Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% Calculate covariance and coefficient of correlation between the returns of thestocks A and B.v. Now suppose you have $100,000 to invest and you want to a hold a portfoliocomprising of $45,000 invested in stock A and remaining amount in stock B.Calculate risk and return of your portfolio.Suppose the expected returns and standard deviations of Stocks A and B are E(RA) = .092, E(RB) = 152, đA = .362, and Og = .622. %3D Calculate the expected return of a portfolio that is composed of 37 percent A and 63 percent B when the correlation between the returns on A and B is .52. (Do not a-1. round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio that is composed of 37 percent A and 63 percent B when the correlation coefficient between the returns on A and B is .52. а-2. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio with the same portfolio weights as in h part (a) when the correlation coefficient between the returns on A and B is -.52. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a-1.…Given the returns and probabilities for the three possible states listed below, calculate the covariance between the returns of Stock A and Stock B. For convenience, assume that the expected returns of Stock A and Stock B are 8.10 percent and 11.60 percent, respectively. (Round answer to 4 decimal places, e.g. 0.0768.) Good OK Poor Covariance Probability 0.22 0.60 0.18 Return on Stock A 0.30 0.10 -0.25 Return on Stock B 0.50 0.10 -0.30
- The index model has been estimated for stock A with the following results: RA = 0.01 + 1.2RM + eA. σM = 0.15; σ(eA) = 0.10. The standard deviation of the return for stock A isSuppose the expected returns and standard deviations of Stocks A and B are E(RA) = .092, E(RB) = 152, OA = .362, and og = .622. Calculate the expected return of a portfolio that is composed of 37 percent A and а-1. 63 percent B when the correlation between the returns on A and B is .52. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio that is composed of 37 percent A and 63 percent B when the correlation coefficient between the returns on A and B is .52. а-2. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio with the same portfolio weights as in part (a) when the correlation coefficient between the returns on A and B is -.52. (Do b. not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)2. (a) You have a two-asset portfolio that comprises Stock PY and Stock NY with the following information: Proportion of Stock PY in the portfolio Proportion of Stock NY in the portfolio Standard deviation of Stock PY's returns Standard deviation of Stock NY's returns 48% 52% 3% 5% Calculate the standard deviation if the correlation coefficient of returns between both stocks is 0.15.
- Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 0.03 + 0.7 RM + eA RB = -0.02+ 1.2 RM + eB σM =0.20; R-square A = 0.25 R-square B = 0.20 What is the standard deviation of A & B, respectively? Group of answer choices 0.54, 0.28 0.28, 0.54 0.45, 0.50 0.50, 0.45(Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.25 0,50 0.25 Probability 0.10 0.40 0.40 0.10 (Click on the icon in order to copy its contents into a apreadsheet) Common Stock B Return 10% 17% 18% Return -4% 7% 13% 20% G a. Given the information in the table, the expected rate of return for stock A is 15.5% (Round to two decimal places) The standard deviation of stock A is (Round to two decimal places.)The index model for stock A has been estimated with the following result: RA = 0.01 + 0.9RM + eA. If σM = 0.25 and R2A = 0.25, the standard deviation of return of stock A is:
- You are given the following probability distribution of returns for a stock. Use the data to calculate the expected return, standard deviation of returns, and coefficient of variation of returns for the stock. Report the CV to 4 decimal places (13.36% = 0.1336). Return Probability 8.0% 0.20 10.0% 0.10 12.0% 0.40 15.0% 0.20 16.0% 0.10(Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.20 0.60 0.20 Probability 0.15 0.35 0.35 0.15 (Click on the icon in order to copy its contents into a spreadsheet.) Common Stock B Return 13% 14% 18% Return - 6% 7% 15% 21% a. Given the information in the table, the expected rate of return for stock A is 14.6 %. (Round to two decimal places.) The standard deviation of stock A is %. (Round to two decimal places.)From the following information, calculate covariance between stocks A and B and expected return and risk of a portfolio in which A and B are equally weighted.Which stock would be recommend if investment in individual stock is to be made? Justify answer using numerical calculations. Stock A Stock B Expected return 24% 35% Standard deviation 12% 18% Coefficient of correlation 0.65 0.65