The table below shows the annual returns for a stock over the last four years. Year Return 2018 -12% 2019 15% 2020 27% 2021 -34% a. What is the stock’s average return over the 2018–2021 period? b. What is the standard deviation of returns over this same period?
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A: Geometric Rate of return= [(1+r1)*(1+r2)......(1+r3)1/n-1 r1= .10 r2=.20 n=2 years
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A: Expected return and Standard deviation can be computed as follows:
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A: Returns 9.4% 8.2% -8.3% 4.1% 9.5%
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A: Working note:
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A: Initial price = $40 Expected return =16% per annum Volatility = 20% per annum
Q: geometric
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A: The formula used is shown:
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A: Given:
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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 6,647.65Assume 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 % घAssume these are the stock market and Treasury bill returns for a 5-year period: T-Bill Return Year Stock Market Return (8) (8) 2016 32.50 0.07 2017 11.80 0.07 2018 -2.40 0.07 2019 13.70 0.25 2020 22.40 0.27 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.) Complete this question by entering your answers in the tabs below. Required A Required B Required C What was the risk premium on common stock in each year? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Negative values should be entered with a negative sign.. Year Risk Premium 2016 % 2017 % 2018 % 2019 % 2020 %
- Assume these are the stock market and Treasury bill returns for a 5-year period: Year Stock Market Return (%) T-Bill Return (%) 2016 13.0 0.2 2017 21.0 0.8 2018 -6.2 1.8 2019 29.8 2.1 2020 20.6 0.4 Required: What was the risk premium on common stock in each year? What was the average risk premium? What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.)-- expressed in % (NOTE: 11.31% is incorrect)Assume these are the stock market and Treasury bill returns for a 5-year period: Year Stock Market Return (%) T-Bill Return (%) 2016 13.0 0.2 2017 21.0 0.8 2018 -6.2 1.8 2019 29.8 2.1 2020 20.6 0.4 Required: What was the risk premium on common stock in each year? What was the average risk premium? What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.)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…
- You 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.Your 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.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?
- Two stock prices for six days are given below. Price A Price B 25 55 27 59 30 64 28 62 26 58 32 61 1. Calculate the Standard Deviation of Stock A? 2. Calculate the Mean Return of Stock A? 3. Calculate the Coefficient of Variation (CV) of Stock A?Assume these are the stock market and Treasury bill returns for a 5-year period: ITT Stock Market T-Bill Return Year Return (%) (%) 2013 33.70 0.13 2014 13.30 0.13 2015 -3.60 0.13 2016 14.70 0.08 2017 24.20 0.10 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.) Complete this question by entering your answers in the tabs below. Required A Required B Required C What was the risk premium on common stock in each year? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Year Risk Premium 2013 % 2014 % 2015 % 2016 2017 %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%