Suppose an investor wants to include Goodman Industries stock in his or her portfolio. Stocks...
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Suppose an investor wants to include Goodman Industries stock in his or her portfolio. Stocks A, B, and C are currently in the portfolio, and their betas are 0.769, 0.985, and 1.423, respectively. Calculate the new portfolios required return if it consists of 30% of Goodman, 20% of Stock A, 30% of Stock B, and 20% of Stock C.
a. Use the data given to calculate annual returns for Goodman, Landry, and the Market Index, and then calculate average returns over the five-year period. (Hint: Remember, returns are calculated by subtracting the beginning price from the ending price to get the capital gain or loss, adding the dividend to the capital gain or loss, and dividing the result by the beginning price. Assume that dividends are already included in the index. Also, you cannot calculate the rate of return for 2015 because you do not have 2014 data.) Data as given in the problem are shown below: Goodman Industries Year Stock Price Dividend 2020 $30.32 $2.23 2019 $23.53 $2.65 2018 $28.61 $2.73 2017 $15.21 $2.57 2016 $12.63 $2.23 2015 $13.21 $2.25 Landry Incorporated Stock Price $85.12 $79.32 $74.32 $87.12 $95.12 $84.25 Market Index Dividend Includes Divs. $3.52 18,475.97 $3.65 12,174.55 $3.45 12,019.97 $3.47 10,743.05 $3.55 9,455.42 $3.25 8,163.96 We now calculate the rates of return for the two companies and the index: Goodman Landry Index 2020 2019 2018 2017 2016 Average Note: To get the average, you could get the column sum and divide by 5, but you could also use the function wizard, fx. Click fx, then statistical, then Average, and then use the mouse to select the proper range. Do this for Goodman and then copy the cell for the other items. b. Calculate the standard deviation of the returns for Goodman, Landry, and the Market Index. (Hint: Use the sample standard deviation formula given in the chapter, which corresponds to the Use the function wizard to calculate the standard deviations. Goodman Landry Index Standard deviation of returns c. Construct a scatter diagram graph that shows Goodman's and Landry' returns on the vertical axis and the Market Index's returns on the horizontal axis. It is easiest to make scatter diagrams with a data set that has the X-axis variable in the left column, so we reformat the returns data calculated above and show it just below. Year 2020 2019 2018 2017 2016 Index 0.0% 0.0% 0.0% 0.0% 0.0% Goodman 0.0% 0.0% 0.0% 0.0% 0.0% Landry 0.0% 0.0% 0.0% 0.0% 0.0% g. Suppose an investor wants to include Goodman Industries' stock in his or her portfolio. Stocks A, B, and C are currently in the portfolio, and their betas are 0.769, 0.985, and 1.423, respectively. Calculate the new portfolio's required return if it consists of 25% of Goodman, 15% of Stock A, 40% of Stock B, and 20% of Stock C. Beta Goodman Stock A Stock B Stock C 0.769 0.985 1.423 Portfolio Weight 30% 20% 30% 20% 100% Portfolio Beta * Required return on portfolio: Risk-free rate - Market Risk Premiun Beta a. Use the data given to calculate annual returns for Goodman, Landry, and the Market Index, and then calculate average returns over the five-year period. (Hint: Remember, returns are calculated by subtracting the beginning price from the ending price to get the capital gain or loss, adding the dividend to the capital gain or loss, and dividing the result by the beginning price. Assume that dividends are already included in the index. Also, you cannot calculate the rate of return for 2015 because you do not have 2014 data.) Data as given in the problem are shown below: Goodman Industries Year Stock Price Dividend 2020 $30.32 $2.23 2019 $23.53 $2.65 2018 $28.61 $2.73 2017 $15.21 $2.57 2016 $12.63 $2.23 2015 $13.21 $2.25 Landry Incorporated Stock Price $85.12 $79.32 $74.32 $87.12 $95.12 $84.25 Market Index Dividend Includes Divs. $3.52 18,475.97 $3.65 12,174.55 $3.45 12,019.97 $3.47 10,743.05 $3.55 9,455.42 $3.25 8,163.96 We now calculate the rates of return for the two companies and the index: Goodman Landry Index 2020 2019 2018 2017 2016 Average Note: To get the average, you could get the column sum and divide by 5, but you could also use the function wizard, fx. Click fx, then statistical, then Average, and then use the mouse to select the proper range. Do this for Goodman and then copy the cell for the other items. b. Calculate the standard deviation of the returns for Goodman, Landry, and the Market Index. (Hint: Use the sample standard deviation formula given in the chapter, which corresponds to the Use the function wizard to calculate the standard deviations. Goodman Landry Index Standard deviation of returns c. Construct a scatter diagram graph that shows Goodman's and Landry' returns on the vertical axis and the Market Index's returns on the horizontal axis. It is easiest to make scatter diagrams with a data set that has the X-axis variable in the left column, so we reformat the returns data calculated above and show it just below. Year 2020 2019 2018 2017 2016 Index 0.0% 0.0% 0.0% 0.0% 0.0% Goodman 0.0% 0.0% 0.0% 0.0% 0.0% Landry 0.0% 0.0% 0.0% 0.0% 0.0% g. Suppose an investor wants to include Goodman Industries' stock in his or her portfolio. Stocks A, B, and C are currently in the portfolio, and their betas are 0.769, 0.985, and 1.423, respectively. Calculate the new portfolio's required return if it consists of 25% of Goodman, 15% of Stock A, 40% of Stock B, and 20% of Stock C. Beta Goodman Stock A Stock B Stock C 0.769 0.985 1.423 Portfolio Weight 30% 20% 30% 20% 100% Portfolio Beta * Required return on portfolio: Risk-free rate - Market Risk Premiun Beta
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