turns earned over a given time period are called realized returns. Historical data on realized returns is often used to esti alysts across companies use realized stock returns to estimate the risk of a stock. e years of realized returns for Blue Llama Mining Inc. (Blue Llama) are given in the following table: 2016 Stock return 10.00% so note that: 2017 2018 6.80% 12.00% 2019 16.80% 2020 5.20%
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- Historical Realized Rates of Return Stocks A and B have the following historical returns: Year 2012 -15.10% -14.90% 2013 21.50 27.00 2014 12.50 31.60 2015 -4.00 -6.10 2016 29.25 6.55 Calculate the average rate of return for each stock during the 5-year period. Round your answers to two decimal places. Stock A % Stock B % Assume that someone held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would have been the realized rate of return on the portfolio in each year? What would have been the average return on the portfolio during this period? Round your answers to two decimal places. Year Portfolio 2012 % 2013 % 2014 % 2015 % 2016 % Average return % Calculate the standard deviation of returns for each stock and for the portfolio. Round your answers to two decimal places. rA rB Portfolio Std. Dev. % % % If you are a risk-averse investor then, assuming these are your only choices, would you prefer…3. Measuring stand-alone risk using realized (historical) data Returns earned over a given time period are called realized returns. Historical data on realized returns is often used to estimate future results. Analysts across companies use realized stock returns to estimate the risk of a stock. Consider the case of Falcon Freight Inc. (FF): Five years of realized returns for FF are given in the following table. Remember: 1. While FF was started 40 years ago, its common stock has been publicly traded for the past 25 years. 2. The returns on its equity are calculated as arithmetic returns. 3. The historical returns for FF for 2014 to 2018 are: 2014 2015 2016 2017 2018 Stock return 20.00% 13.60% 24.00% 33.60% 10.40% Given the preceding data, the average realized return on FF’s stock is _______. The preceding data series represents ________ of FF’s historical returns. Based on this conclusion, the standard deviation of FF’s…Stocks A and B have the following historical returns: 2017 2018 2019 2020 Year Stock A's Returns, "A Stock B's Returns, r 2016 (23.80%) 22.50 (17.70%) 24.50 ITT 14.25 (2.25) 25.00 24.00 (9.70) 14.60 % 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. Year Portfolio 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. Standard Deviation Stock A % Stock B % Portfolio % d. Calculate the coefficient of…
- You are considering an investment in either individual stocks or a portfolio of stocks. The two stocks you are researching, Stock A and Stock B, have the following historical returns: Year TA TB 2017 -17.00% -8.00% 2018 34.00 14.00 2019 29.00 -18.00 2020 -5.00 55.00 2021 21.00 19.00 a. Calculate the average rate of return for each stock during the 5-year period. Do not round intermediate calculations. Round your answers to two decimal places. Stock A: 12.40 % Stock B: 12.40 b. Suppose you had held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would have been the realized rate of return on the portfolio in each year? What would have been the average return on the portfolio during this period? Do not round intermediate calculations. Round your answers to two decimal places. Negative values, if any, should be indicated by a minus sign.Stocks 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…Assume these are the stock market and Treasury bill returns for a 5-year period: Year Stock Market Return (%) T-Bill Return (%) 2013 35.90 0.21 2014 15.20 0.21 2015 -5.10 0.21 2016 16.90 0.08 2017 25.90 0.10 a. 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 % b. What was the average risk premium? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) 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.)
- Roundall dollar answers to 2 decimal places and record all interest rate, coupon rate and growth rate answers as a percentrounded to one decimal place. 26. The historical stock returns for GAF, Inc. are listed below: Year -Annual Stock Return2013 -12%2014 14%2015 35%2016 2%2017 -16%2018 8%2019 0%2020 34%2021 12%2022 6% What is the standard deviation of returns for GAF, Inc. stock over the 10-year time period? (Compute the standard deviation assuming this is a population of returns, not a sample – that is, use the procedure describedin the textbook for calculating the standard deviation of a series of stock returns).27. The end of year stock price and the dividend paid each year for Maxwell, Inc. stock for years 0 through 6 arelisted in the table below: Year -End of Year Stock Price- Dividend0 $12.00 $ 01 $14.86 $1.802 $7.95 $1.883 $8.00…Historical Realized Rates of Return You are considering an investment in either individual stocks or a portíolio of stocks. The two stocks you are researching, Stock A and Stock B, have the folloving historical retums: Year 2015 -22.00% -4.00% 2016 34.00 17.00 2017 29.00 -15.00 2018 -2.00 46.00 2019 30.00 25.00 a. Calculate the average rate of return for each stock during the 5-year period. Do not round intermediate calculations. Round your ansvers to two decimal places. Stock A: Stock 8: b. Suppose you had held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would have been the realized rate of return on the portfolio in each year? What would have been the average return on the portfolio during this period? Do not round intermediate calculations. Round your ansviers to bwo decimal places. Negative values, if any, should be indicated by a minus sign. Year Portfolio 2015 2016 2017 2018 2019 Average return c. Calculate the standard deviation of returns for each stock…The analysis of risk and the search for yield in companies is determinant for financial success. In this case, consider the stock price and dividends of the companies Power Electric Industries, Riviera Power Inc. and Nature Energy Corp. for the period from 2014 to 2019. Power Electric Industries Power Electric Industries Riviera Power Inc. Riviera Power Inc. Nature Energy Corp. Nature Energy Corp. year Year Stock price Dividends Year Stock price Dividends Year Stock price Dividends 2019 $18.5 $1.50 $38.5 $4.50 $58.5 $3.50 2018 $15.93 $1.10 $40.93 $3.10 $50.93 $2.10 2017 $10.20 $1.00 $43.20 $3.00 $53.20 $3.00 2016 $9.80 $0.90 $50.80 $2.90 $50.80 $2.90 2015 $8.50 $0.85 $48.50 $2.85 $48.50 $2.75 2014 $8.00 $0.80 $45.00 $2.80 $45.00 $2.60 1. Consider the companies' data to calculate annual rates of return. Determine the average return for each figure over the 5-year period. (You…
- A Residual Earnings Valuation (Easy) An analyst presents you with the following pro forma (in millions of dollars) that gives her forecast of earnings and dividends for 2013-2017. She asks you to value the 1,380 million shares outstanding at the end of 2012, when common shareholders' equity stood at $4,310 million. Use a required return for equity of 10 percent in your calculations. Earnings Dividends 2013E 388.0 115.0 2014E 570.0 160.0 2015E 599.0 349.0 2016E 629.0 367.0 2017E 660.4 385.4 Chapter 5 Accrual Accounting and Valuation: Pricing Book Values 169 a. Forecast book value, return on common equity (ROCE), and residual earnings for each of the years 2013-2017. b. Forecast growth rates for book value and residual earnings for each of the years 2014-2017. c. Calculate the per-share value of the equity from this pro forma. Would you call this a Case 1, 2, or 3 valuation? d. What is the premium over book value given by your calculation? What is the P/B ratio?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)Stocks A and B have the following historical returns: Year Stock A’s Returns, rA Stock B’s Returns, rB 2010 (18.00%) (14.50%) 2011 33.00 21.80 2012 15.00 30.50 2013 (0.50) (7.60) 2014 27.00 26.30 Calculate the average rate of return for each stock during the period 2010 through 2014. 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? What would the average return on the portfolio have been during this period? Calculate the standard deviation of returns for each stock and for the portfolio. Calculate the coefficient of variation for each stock and for the portfolio. Assuming you are a risk-averse investor, would you prefer to hold Stock A, Stock B, or the portfolio? Explain thoroughly why.