Consider the following realized annual returns for the Index HG200: Year End Index Realized Return 2000 23.6% 2001 24.7% 2002 30.5% 2003 9.0% 2004 -2.0% 2005 -17.3% 2006 -24.3% 2007 32.2% 2008 4.4% 2009 7.4% Compute: 1) average annual return on the Index from 2000 to 2009; 2) standard deviation of the returns on the Index from 2000 to 2009.
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- The JCI Index showed the following Rs for a 6-year period: 11.1%, -5.2%, 20.3%, 26.7%, -12.4%, and 2,2%. (a) Calculate the arithmetic mean return for the 6-year period. (b) Calculate the geometric mean return for the 6-year period.Compute the mean return, variance, and standard deviation of returns, and the coefficient variation of Stock y based on the returns of the 5-year period below: Stock Q Year Stock Z Year 2016 2.60% 2016 0.60% 2017 -1.50% 2017 2.50% 2018 4.20% 2018 -1.20% 2019 3.60% 2019 3.60% 2020 0.50% 2020 0.90% 1. Based on your computation, which stock are you going to choose if you have the money to invest? 2. Why did choose it?Stocks C and F have the following historical returns: Year return (HPY) of C return (HPY) of F 2016 −18.00% −14.50% 2017 33.00% 21.80% 2018 15.00 % 30.50% 2019 −0.50% −7.60% 2020 27.00% 26.30% Required Calculate the geometric rate of return for each stock during the 5-year period. Calculate the standard deviation of returns for each stock. Calculate the coefficient of variation for each stock. If you are a risk-averse investor then, assuming these are your only choices, discuss whether you would prefer to hold Stock C or Stock F.
- Given the following yearly percentage price changes for 3 market indexes. Compute the Covariance of PSEI & SSE; SSE & RUSSELL 100 Year PSEI SSE RUSSELL 100 1 0.03 0.02 0.04 2 0.07 0.06 0.1 3 -0.02 -0.01 -0.04 4 0.01 0.03 0.03 5 0.05 0.04 0.11 6 0.07 0.06 0.1 7 -0.02 -0.01 -0.04 8 0.01 0.03 0.03 9 0.05 0.04 0.11 10 -0.06 -0.04 -0.08The following are monthly percentage price changes for three market indexes Month DJIA S&P 500 Nasdaq 1 0.02 0.03 0.05 2 0.07 0.07 0.23 -0.02 -0.02 -0.05 0.01 0.0 0.05 5 0.05 0.05 0.13 6-0.06 -0.04 -0.06 What is the covariance between the rates of return for S&P 500 and Nasdaq? 4 Oa. 0.0041 The following are monthly percentage price changes for three market indexes Month DJIA S&P 500 Nasdaq 1 0.02 0.05 0.07 0.2 -0.02 -0.05 0.01 0.05 5 0.05 0.13 6 -0.06 -0.06 What is the covariance between the rates of return for S&P 500 and Nasdaq? 2 3 4 a 0.0041 0.03 0.07 -0.02 0.03 0.05 -0.04Observe 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…
- . You have observed the following returns over time: Stock X Stock Y Year Price Div Price Div Market Returns 2005 20 0 11 0 0 2006 24 1.2 13 1.6 0.25 2007 26 0.5 17 0.5 0.18 2008 31 1 20 0.9 0.11 2009 33 1.5 23 1.2 0.12 2010 40 2 27 1.5 0.15 a. Calculate the annual returns for each stock (2006-2010) b. Calculate the average returns for each of the stocks and the market c. Calculate the covariance between the stocks d. Compute the portfolio return and portfolio risk if the Stock A and Stock B are combined equally in a portfolio.Stocks C and F have the following historical returns:Year return (HPY) of C return (HPY) of F2016 −18.00% −14.50%2017 33.00% 21.80%2018 15.00 % 30.50%2019 −0.50% −7.60%2020 27.00% 26.30%Required i. Calculate the geometric rate of return for each stock during the 5-year period. ii. Calculate the standard deviation of returns for each stock. iii. Calculate the coefficient of variation for each stock. iv. If you are a risk-averse investor then, assuming these are your only choices, discusswhether you would prefer to hold Stock C or Stock F.Calculate the arithmetic average for the following returns: Year Return O 2.4 % O 2.2% O 3.1% O 3.4% Calculate the geometric average for the following returns: Year Return O 2.2% O 2.4% O 3.1% O 3.4% Calculate the standard deviation for the following returns: Year Return O 8.4% O 8.1% O 7.6% O 7.3% 2017 12.03% 2017 12.03% 2017 12.03% 2018 -8.24% 2018 -8.24% 2018 -8.24% 2019 1.34% 2019 1.34% 2019 1.34% 2020 4.55% 2020 4.55% 2020 4.55%
- Assume these are the stock market and Treasury bill returns for a 5-year period: Year 2016 2017 2018 2019 2020 Stock Market Return (%) 33.30 13.20 -3.50 14.50 23.80 Required: a. What was the risk premium on common stock in each year? b. What was the average risk premium? c. What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) 3 Required A Required B T-Bill Return Complete this question by entering your answers in the tabs below. Standard deviation (%) 0.12 0.12 0.12 0.07 0.09 x Answer is complete but not entirely correct. Required C What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. 13.69 X % घBased on the provided data what is the standard deviation of the VOO ETF total returns for the 3-year period between 2021 to 2023? Year 2023 2022 2021 2020 2019 T-bill total return 4.29% -3.82% -0.60% 3.16% 3.59% 20% average return ≤ 25% 25% < average return ≤ 30% 30% < average return ≤ 35% 35% average return S&P 500 total VOO ETF total return return 26.29% 26.33% -18.11% -18.15% 28.71% 28.60% 18.40% 18.40% 31.49% 31.47%A market-cap weighted index includes the below three stock, where the value at the beginning of the year was 100 point. What will be the value of the index at the end of the year a) 44.3 b) 110.6 c) 93.8