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 T-Bill Return (%) 0.12 0.12 0.12 0.07 0.09 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.)
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Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
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- Assume these are the stock market and Treasury bill returns for a 5-year period: 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.)Assume these are the stock market and Treasury bill returns for a 5-year period: 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. 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.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.)Assume 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 %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 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
- Q.Which of the following statements are true/false: I: The implied volatility of a stock can be calculated by deternining the standard deviation of stock returns over the last one year. II: The implied volatility of a stock can be calculated by deternining the standard deviation of stock returns over the last six months. A. I is true, II is false B. I is false, II is true C. I and II are both false D. I and II are both trueAssume these are the stock market and Treasury bill returns for a 5-year period: Stock Market T-Bill Return Return (%) (%) 0.14 Year 2013 34.20 2014 13.90 0.14 2015 -3.80 0.14 2016 14.80 0.09 2017 24.30 0.11 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 standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Standard deviation %Assume these are the stock market and Treasury bill returns for a 5-year period: Stock Market T-Bill Year Return (%) Return (%) 2013 31.7 0.02 2014 10.9 0.02 2015 -1.6 0.02 2016 13.0 0.20 2017 21.3 0.80 Required: a. What was the risk premium on common stock in each year? (Negative values should be entered with a negative sign.) 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.) es 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 vear? (Do not round intermediate calculations. Enter vour answers as e to search
- Assume these are the stock market and Treasury bill returns for a 5-year period: Year Stock Market Return (%) T-Bill Return (%) 2013 36.00 0.22 2014 15.40 0.22 2015 −5.20 0.22 2016 17.00 0.09 2017 26.00 0.11 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.)Assume these are the stock market and Treasury bill returns for a 5-year period: Stock Market T-Bill Return (%) 0.02 0.02 0.02 0. 20 Return (%) Year 2013 2014 2015 2016 2017 31.7 10.9 -1.6 13.0 21.3 0.80 Required: a. What was the risk premium on common stock in each year? (Negative values should be entered with a negative sign.) 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.)1.2. Refer to the following observations for stock A and the market portfolio in the table: Month Rate of return Stock A Market portfolio 1 0.30 0,12 0.24 0,08 3 -0,04 -0,10 -0,02 0,08 0,07 4 0,10 5 0,06 6 0,10 a) Calculate the main statistic measures to explain the relationship between stock A and the market portfolio: i) The sample covariance between rate of return for the stock A and the market. ii) The sample Beta factor of stock A. iii) The sample correlation coefficient between the rates of return of the stock A and the market. iv) The sample coefficient of determination associated with the stock A and the mar- ket. b) Draw in the characteristic line of the stock A and give the interpretation - what does it show for the investor? c) Calculate the sample residual variance associated with stock's A characteristic line and explain how the investor would interpret the number of this statistic. d) Do you recommend this stock for the investor with the lower tolerance of risk?