The table given below reports last five years data on rates of return on two stocks. Calculate and give the final answer. Year Stock A Stock B 21 -.05 2 -.09 15 3 -.12 05 4 14 10 11 15 1. Arithmetic mean for both the stocks. 2. Standard deviation for both stocks 3. Covariance 4. Correlation coefficient.
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- The table below presents the returns on stocks ABC and XYZ for a five-year period. Year ABC XYZ 1 0.16 0.12 2 0.42 0.62 3 -0.02 -0.23 4 -0.26 -0.62 5 0.48 0.52 Calculate the average return, and standard deviation of stock ABC and XYZ. Also calculate the correlation between the two stocks. What does the correlation tell you about the return movements of the two stocks? Calculate the weight of each stock in the minimum variance portfolio, assume the expected return equals to average return for each stock. Find the mix of stocks ABC and XYZ that gives a portfolio on the efficient frontier AND demonstrate why this portfolio is on the efficient frontier by showing that there exists another portfolio of stocks ABC and XYZ that has the same level of risk (portfolio standard deviation) but inferior return. Hint: manipulate the weights you get from part b. Suppose the risk-free rate is 6%. Also assume the…The table given below reports last five years data on annual rates of return (HPYS) on two stocks Year Stock A (%) Stock B (%) 1 16 -10 24 40 30 10 5 -20 20 pre 3. Compute the coefficient of variation for each stock. By this measure which stock is preferable.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…
- The table given below reports last five years data on annual rates of return (HPYS) on two stocks Year Stock A (%) Stock B (%) 1 16 -10 24 40 30 10 5 -20 20 2. Compute the standard deviation for each stock. Which stock is preferable by this measure measureConsider 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. GeometricBased 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 figure in the popup window, a. The expected return. b. The standard deviation of the return. Note: Make sure to round all intermediate calculations to at least five decimal places. Graph/chart Probability (%) 35- 30- 25- 20 15- 10- 5 9 -25% shows the one-year return distribution for RCS stock. Calculate -10% 0% Return 10% 25% - Q Q 2 XFrom the information attached below, calculate: a. the average stock return from 20x1- 20x3. b. The standard deviation over the same period.You have developed data which give (1) the average annual returns of the market for the past five years and (2) similar information on Stocks A and B. If these data are as follows, which of the possible answers best describes the historical beta for A and B? Please circle the correct answer: Years Market Stock A Stock B 1 .03 .16 .05 2 -.05 .20 .05 3 .01 .18 .05 4 -.10 .25 .05 5 .06 .14 .05 a. bA > 0; bB = 1. b. bA > +1; bB = 0. c. bA = 0; bB = -1. d. bA < 0; bB = 0. e. bA < -1; bB = 1.
- Using the data in the following table,, estimate the: a. Average return and volatility for each stock. b. Covariance between the stocks. c. Correlation between these two stocks. a. Estimate the average return and volatility for each stock. The average return of stock A is %. (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Year 2010 2011 20% 2013 - 1% - 13% Stock A Stock B 20% 12% - 9% Print 2012 8% 9% C Done 2014 4% - 9% 2015 11% 27% - XSuppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 5.0% + 1.30RM + eA RB= -2.0% + 1.6RM + eB sigmaM= 20% ; R-squareA= 0.20 ; R-squareB= 0.12 What is the standard deviation of each stock (write as percentage, rounded to 2 decimal places)?The figure in the popup window, a. The expected return. b. The standard deviation of the return. Note: Make sure to round all intermediate calculations to at least five decimal places. Graph/chart Probability (%) 35- 30- 25- 20- 15 10- 5 shows the one-year return distribution for RCS stock. Calculate: -20% -10% 0% Return 10% 20% - Q Q G X