Refer to the table below: Expected return, E(R) Standard deviation, o Correlation 3 Doors, Inc. Expected return Standard deviation 15% 30 .39 Using the information provided on the two stocks in the table above, find the expected return and standard deviation on the minimum variance portfolio. (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) % % Down Co. 10% 18
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- Refer to the table below: Expected return, E(R) Standard deviation, o Correlation 3 Doors, Inc. 18% 33 Standard Deviation = 0.22 Down Co. 6% 17 Using the information provided on the two stocks in the table above, find the expected return and standard deviation on the minimum variance portfolio. (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Expected Return =Refer to the table below: 3 Doors, Inc. Down Co. Expected return, E(R) Standard deviation, o Correlation 15% 10% 30 18 0.39 Using the Information provided on the two stocks in the table above, find the expected return and standard deviation on the minimum variance portfolio. (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Expected return % Standard deviation %Consider the rate of return of stocks ABC and XYZ. Year rABC rXYZ 1 20 % 28 % 2 8 11 3 16 19 4 4 1 5 2 −9 a. Calculate the arithmetic average return on these stocks over the sample period. b. Which stock has greater dispersion around the mean return? A. ABC B. XYZ c. Calculate the geometric average returns of each stock. What do you conclude? (Do not round intermediate calculations. Round your answers to 2 decimal places.) d. If you were equally likely to earn a return of 20%, 8%, 16%, 4%, or 2%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.) e. What if the five possible outcomes were those of stock XYZ? f. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance? A. Arithmetic B. Geometric
- Based on the following information: State of Economy Probability of State of Economy Return on Stock J Return on Stock K Bear .20 -.030.024 Normal .55.128.052 Bull .25 .208.082 a. Calculate the expected return for each of the stocks. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation for each of the stocks. ( Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g , 32.16.) c. What is the covariance between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) d. What is the correlation between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., .1616.)The market and Stock J have the following probability distributions: Probability rM rJ 0.3 14 % 18 % 0.4 10 4 0.3 18 13 Calculate the expected rates of return for the market and Stock J. Round your answers to one decimal place. Expected rate of return (Market): % Expected rate of return (Stock J): % Calculate the standard deviations for the market and Stock J. Do not round intermediate calculations. Round your answers to two decimal places. Standard deviation (Market): % Standard deviation (Stock J): %Compute the abnormal rates of return for the following stocks during period t (ignore differential systematic risk): Stock % % % % BFT % B F T UE Rit = return for stock i during period t Rmt = return for the aggregate market during period t Use a minus sign to enter negative values, if any. Round your answers to one decimal place. ARBE: ARF: ARTI: ARC: AREL: с Rit 11.5% 9.2 12.5 12.5 15.9 Rmt 4.7% 6.2 6.6 15.2 11.1
- 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, 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.)Consider the rate of return of stocks ABC and XYZ. Year rABC rXYZ 1 20 % 28 % 2 8 11 3 16 19 4 4 1 5 2 −9 (PLEASE SKIP THE FIRST THREE QUESTIONS) a. Calculate the arithmetic average return on these stocks over the sample period. b. Which stock has greater dispersion around the mean return? multiple choice A. ABC B. XYZ c. Calculate the geometric average returns of each stock. What do you conclude? (Do not round intermediate calculations. Round your answers to 2 decimal places.) d. If you were equally likely to earn a return of 20%, 8%, 16%, 4%, or 2%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.) e. What if the five possible outcomes were those of stock XYZ? f. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future…
- K (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 Common Stock B Return 13% 17% 18% Probability 0.10 0.40 0.40 0.10 (Click on the icon in order to copy its contents into a spreadsheet.) Return -7% 5% 16% 21% www a. Given the information in the table, the expected rate of return for stock A is 16.40 %. (Round to two decimal places.) The standard deviation of stock A is 1.74 %. (Round to two decimal places.) b. The expected rate of return for stock B is 9.8 %. (Round to two decimal places.) The standard deviation for stock B is 6.12 %. (Round to two decimal places.)8. (Portfolio of two stocks) The following spreadsheet presents data for stocks A and B. A B C 1 2 RETURN STATISTICS OF STOCKS A AND B Stock A Stock B 3 Average return 15% 10% 4 Variance 0.12 0.07 5 Standard deviation 34.64% 26.46% 6 7 Covariance of return, Cov(AIB) 0.0160 0.1746 <=B7/(B5*C5) a. 8 Correlation of return What are the return and the standard deviation of a portfolio com- posed of 30% of stock A and 70% of stock B? b. What are the return and the standard deviation of an equally weighted portfolio of stocks A and B?Expected Returns: Discrete Distribution The market and Stock J have the following probability distributions: Probability rM rJ 0.3 15% 20% 0.4 9 7 0.3 18 10 Calculate the expected rates of return for the market and Stock J. Round your answers to one decimal place. Expected rate of return (Market): % Expected rate of return (Stock J): % Calculate the standard deviations for the market and Stock J. Do not round intermediate calculations. Round your answers to two decimal places. Standard deviation (Market): % Standard deviation (Stock J): %