Stock W and Stock M's annual returns are as following, calculate the average return, standard deviation for Stock W, Stock M, and an equally weighted portfolio WM (i.e., 50% in W and 50% in M). A: \rho = -1 Year Stock W Stock M Portfolio WM 2008 40 % -10% 2009 -10% 40% 2010 40 % -10% 2011 -10% 40% 2012 15% 15% Avg. Return Stan. Dev. B: \rho = 0.35 Year Stock W Stock M Portfolio WM 2008 40% 40% 2009 -10% 15% 2010 35% -5% 2011 -5% -10% 2012 15% 35% Avg. Return Stan. Dev.
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- a) Consider these three stock returns with the following annualised characteristics: Stock A Stock B Stock C Expected Return 16% 10% 3% Stock A Stock B Stock C Standard deviation 26% 22% 11% Stock A 1 0.4 0.2 According to the Capital Asset Pricing Model (CAPM), which stock is a better buy, when the market's expected return is 8%, and risk-free rate is 4%? What is the alpha of each stock? Plot the Security Market Line (SML) and each stock's risk-return point on one graph. b) Now suppose that the same stock returns have the following correlation matrix: Beta Stock B 1.5 1.1 0.3 1 0.3 Stock C 1 Weights 55% 35% 10% If we form a three-stock portfolio by investing 55%, 35% and 10% in Stock A, B and C, respectively, what is the expected return and variance of this portfolio?Observe the mean, the standard deviation, and the CV of the annual rate of return of the portfolio. Tesla Historical Annual Stock Price Data Year Average Stock Price Year Open Year High Year Low Year Close Annual % Change 2020 289.9971 86.0520 705.6700 72.2440 705.6700 743.44% 2019 54.7060 62.0240 86.1880 35.7940 83.6660 25.70% 2018 63.4620 64.1060 75.9140 50.1120 66.5600 6.89% 2017 62.8633 43.3980 77.0000 43.3980 62.2700 45.70% 2016 41.9535 44.6820 53.0840 28.7340 42.7380 -10.97% 2015 46.0085 43.8620 56.4520 37.0000 48.0020 7.91% 2014 44.6658 30.0200 57.2080 27.8680 44.4820 47.85% 2013 20.8803 7.0720 38.6740 6.5820 30.0858 344.14% 2012 6.2337 5.6160 7.6020 4.5580 6.7740 18.59% 2011 5.3609 5.3240 6.9880 4.3660 5.7120 7.25% 2010 4.6683 4.7780 7.0940 3.1600 5.3260 0.00% Amazon Historical Annual Stock Price Data Year Average Stock Price Year Open Year High Year Low Year Close Annual % Change 2021 3315.9774 3186.6300 3731.4100 2951.9500…Using the data in the following table, calculate the volatility (standard deviation) of a portfolio that is 60% invested in stock A and 40% in stock B. The volatility of the portfolio is %. (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Year Stock A Stock B 2010 2011 2012 2013 2014 2015 -10% 19% 4% -3% 5% 12% 19% 39% 24% -8% -8% 35% Print Done Х
- 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 placesUsing 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 annual returns of a stock and the risk-free interest rate are given as follows: Year 2010 2011 2012 2013 2014 Stock Return % 5% -9% 6% 15% Rf 2% 1% 2% 0.5% 1% Calculate the arithmetic average stock return. 7+5+-9+6+15= 17/5= 3.4 Calculate the geometric average stock return. G=[(1+7%)(1+5%)(1+-9%)(1+6%)(1+15%)]^1/5-1 = 1.246387^1/5-1=4.5% Calculate the standard deviation of stock returns (could be done by Excel). Calculate the risk premium of the stock. Calculate the standard deviation of the excess returns. Calculate the Sharpe ratio of the stock.
- Below are the annual returns of the stock A, B, C and D and the market portfolio for the period 2018-2022. Find the expected return and standard deviation of the stock A, B, C, D and the market Year Prob. Asset A Asset B Asset C Asset D Market 2018 0,20 11,00 9,00 12,00 15,00 14,00 2019 0,25 13,00 11,00 15,00 13,00 12,00 2020 0,10 9,00 8,00 11,00 10,00 9,00 2021 0,20 12,00 12,00 11,00 13,00 12,00 2022 0,25 15,00 10,00 9,00 12,00 13,00Solve for no. 3 onlyWhat is Stock X's geometric returns if it has the following returns? Year 1 8% Year 2 - 5% Year 3 10% Year 4 - 6% Year 5 15% a. 4.1%. b. 5.2% c. 6.8% d. 8.5%
- Find the annualized holding rate of return and the average rate of return for a stock that returned -30% in year 1 and +30% in year 2. Annualized holding rate of return = -7.00% A. -9.00% B. -15.00% C. 0.00%The historical returns for the past three years for Stock B and the stockmarket portfolio are: Stock B: 24%, 0%, 24%; Market portfolio:10%, 12%, 20% . Calculate the beta for Stock B. A. 1.13 B. 1.00 C. 0.86Your stock's returns for the past four years are as follows. t Return t1 19.79% t2 -0.58% t3 8.55% t4 4.68% Compute the geometric average return for this stock. Please enter your answer as a PERCENT rounded to 2 decimal places.