Stocks A and B have the following historical returns: Year Stock A's Returns, rA Stock B's Returns, rA 2014 (19.00 (14.70 %) 2015 34.75 19.50 2016 13.75 30.90 2017 (4.25 (9.30 ) 2018 34.25 33.10 Calculate the coefficient of variation for each stock and for the portfolio. Round your answers to two decimal places. Stock A Stock B Portfolio CV Assuming you are a risk-averse investor, would you prefer to hold Stock A, Stock B, or the portfolio?
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Stocks A and B have the following historical returns:
Year | Stock A's Returns, rA | Stock B's Returns, rA | |
2014 | (19.00 | (14.70 | %) |
2015 | 34.75 | 19.50 | |
2016 | 13.75 | 30.90 | |
2017 | (4.25 | (9.30 | ) |
2018 | 34.25 | 33.10 |
- Calculate the coefficient of variation for each stock and for the portfolio. Round your answers to two decimal places.
Stock A Stock B Portfolio CV - Assuming you are a risk-averse investor, would you prefer to hold Stock A, Stock B, or the portfolio?
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- Directions: Compute the returns, average of returns and standard deviation of the following stocks and the PSEI. 1. 2. AGI SM Year Stock Return x x (x--x)² Year Stock Return x x (x-x)² Price Price 30/1/2014 27.100 30/1/2014 704.500 28/2/2014 30.000 28/2/2014 694.000 31/3/2014 28.500 31/3/2014 705.000 30/4/2014 31.150 30/4/2014 725.000 30/5/2014 29.650 30/5/2014 786.000 30/6/2014 29.100 30/6/2014 816.000 31/7/2014 26.350 31/7/2014 797.000 29/8/2014 24.600 29/8/2014 772.000 30/9/2014 26.000 30/9/2014 803.500 31/10/2014 25.300 31/10/2014 783.500 28/11/2014 24.800 28/11/2014 804.500 29/12/2014 22.550 29/12/2014 815.000 PSEI Year Stock Return x X (x-X)? 30/6/2014 6,844.31 Price 31/7/2014 6,864.82 30/1/2014 6,041.19 29/8/2014 7,050.89 3. 28/2/2014 6,424.99 30/9/2014 7,283.07 31/10/2014 7,215.73 31/3/2014 6,428.71 28/11/2014 7,294.38 30/4/2014 6,707.91 29/12/2014 7,230.57 30/5/2014 6,647.65Stocks A and B have the following historical returns:YearStock A's Returns, raStock B's Returns, ra2016(18.60%)(14.50%)201734.2520.40201814.7539.902019(1.00)(9.70)202026.7520.05a. Calculate the average rate of return for each stock during the period 2016 through 2020. Round your answers to two decimal places.Stock A:11.23%Stock B:11.23%b. Assume that someone held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would the realized rate of return on the portfolio have been each year? Round your answers to two decimal places. Negative values should be indicated by a minus sign.YearPortfolio2016-16.55%201727.33201827.33%2019-5.35202023.40What would the average return on the portfolio have been during this period? Round your answer to two decimal places.11.23c. Calculate the standard deviation of returns for each stock and for the portfolio. Round your answers to two decimal places.Stock AStock BPortfolioStandard Deviationd. Calculate the coefficient of variation for each…Stocks A and B have the following historical returns: Stock A's Returns (24.25%) 18.50 38.67 14.33 39.13 Year 2015 2016 2017 2018 2019 Assume the risk-free rate during this time was 3.5%. What are the Sharpe ratios for Stocks A and B and the portfolio over this time period using their average returns? Answers: a) Sharpe ratio for Stock A b) Sharpe ratio for Stock B 0.5332 0.8839 c) Sharpe ratio for Portfolio AB Stock B's Returns 5.50% 26.73 48.25 (4.50) 43.86 Note: enter your answers with 4 decimal places
- Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 3.2% + 1.10RM + eA RB = -1.4 % + 1.25RM + eB OM= 30%; R-squareд = 0.28; R-squareg = 0.12 What is the covariance between each stock and the market index? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round your intermediate calculations. Round your answers to nearest whole number. Answer is complete but not entirely correct. Stock A Stock B Covariance 93 x 101 xYou are given the following information concerning a stock and the market Year 2017 2018 2019 2020 2021 2022 Returns Market 18% 11 12 -14 37 15 Correlation Beta a. Calculate the average return and standard deviation for the market and the stock. Note: Use Excel to complete the problem. Enter your answers as a percent rounded to 2 decimal places. Average return Standard deviation Stock 34% 27 3 -21 16 22 Market % Stock % % b. Calculate the correlation between the stock and the market, as well as the stock's beta. Note: Use Excel to complete the problem. Round your correlation answer to 2 decimal places and beta answer to 4 decimal places.Suppose 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)?
- Stock A Stock BRate of Return Probability Rate of Return Probability14 0.15 20 0.2016 0.20 18 0.1817 0.30 16 0.3219 0.15 14 0.1420 0.20 10 0.16 a. Calculate the expected return for both stock A and stock B b. Calculate the standard deviation for both stock A and stock B c. Calculate the coefficient of variation for both stock A and stock B.Using the data in the following table, and the fact that the correlation of A and B is 0.06, calculate the volatility (standard deviation) of a portfolio that is 70% invested in stock A and 30% invested in stock B. The 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.) Realized Returns Year Stock A Stock B 2017 15% 24% 2018 12% 22% 2019 9% 10% 2020 -4% -4% 2021 4% -3% 2022 11% 22%The index model has been estimated from the excess returns for stock A with the following results: = RA 12.00% +1.55RM+ eA °M = 24.00% σ(eд) = 18.50% What is the standard deviation of the return for stock A? (Round your answer to 2 decimal places.) Standard deviation %
- Stocks A and B have the following historical returns: Year 2016 2017 2018 2019 2020 Stock A's Returns, ra (15.40%) 29.00 14.25 (5.00) 26.00 Stock B's Returns, ra (15.80%) 21.10 37.30 (6.20) 12.45 a. Calculate the average rate of return for each stock during the period 2016 through 2020. Round your answers to two decimal places. Stock A: Stock B: b. Assume that someone held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would the realized rate of return on the portfolio have been each year Round your answers to two decimal places. Negative values should be indicated by a minus sign. Portfolio CV Year 2016 2017 2018 2019 2020 What would the average return on the portfolio have been during this period? Round your answer to two decimal places. % % % c. Calculate the standard deviation of returns for each stock and for the portfolio. Round your answers to two decimal places. Stock A Stock B Portfolio Standard Deviation d. Calculate the coefficient of variation for each…The index model has been estimated for stocks A and B with the following results: = 0.12 +0.670RM+еA RA= RB=0.04 +1.512RM + еB °M= 0.330 σ(eд) = 0.20 σ(eB) = 0.10 What is the covariance between each stock and the market index? (Round your answers to 4 decimal places.) Stock A covariance Stock B covarianceConsider 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