a. Calculate the actual portfolio return, rp. for each of the 6 years. b. Calculate the average return for each stock and for the portfolio over the 6-year period. c. Calculate the standard deviation of returns for each asset and for the portfolio. How does the portfolio standard deviation compare to the standard deviations of the individual assets? ...........

a. Calculate the actual portfolio return, rp. for each of the 6 years. b. Calculate the average return for each stock and for the portfolio over the 6-year period. c. Calculate the standard deviation of returns for each asset and for the portfolio. How does the portfolio standard deviation compare to the standard deviations of the individual assets? ...........

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter2: Risk And Return: Part I

Section: Chapter Questions

Problem 13P

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Jamie Wong is thinking of building an investment portfolio containing two stocks, L and M. Stock L will represent 50% of the dollar value of the portfolio, and stock M will account for the other 50%. The historical returns over the next 6 years, 2013−2018,for each of these stocks are shown in the following table: (see attached table) a. Calculate the actual portfolio return, rp, for each of the 6 years. b. Calculate the expected value of portfolio returns, rp, over the 6-year period. c. Calculate the standard deviation of expected portfolio returns, σrp, over the 6-year period.
4. Jamie Wong is thinking of building an investment portfolio containing two stocks, L and M. Stock L will represent 44% of the dollar value of the portfolio, and stock M will account for the other 56%. The historical returns over the last 6 years, 2013-2018, for each of these stocks are shown in the following table 4. a. Calculate the actual portfolio return, r,, for each of the 6 years. b. Calculate the average return for each stock and for the portfolio over the 6-year period. c. Calculate the standard deviation of returns for each asset and for the portfolio. How does the portfolio standard deviation compare to the standard deviations of the individual assets? d. How would you characterize the correlation of returns of the two stocks L and M? e. Discuss any benefits of diversification achieved by Jamie through creation of the portfolio. Review Only Click on the icon to see the Worked Solution. a. The average portfolio return for 2013 is %. (Enter as a percentage and round to one…
Jamie Wong is thinking of building an investment portfolio containing two stocks, L and M. Stock L will represent 40% of the dollar value of the portfolio, and stock M will account for the other 60%. The historical returns over the last 6 years, 2013–2018, for each of these stocks are shown in the following table. Expected return. Year Stock L Stock M 2013 14 20 2014 14 18 2015 16 16 2016 17 14 2017 17 12 2018 19 10 A. Calculate the actual portfolio return,, for each of the 6 years. B. Calculate the average return for each stock and for the portfolio over the 6-year period. C. Calculate the standard deviation of returns for each asset and for the portfolio. How does the portfolio standard deviation compare to the standard deviations of the individual assets? D. How would you characterize the correlation of returns of the two stocks L and M? E. Discuss any benefits of diversification achieved by Jamie through creation of the portfolio.
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Using the data in the table, consider a portfolio that maintains a 35% weight on stock A and a 65% weight on stock B. a. What is the return each year of this portfolio? (2010-2015) b. Based on your results from part (a), compute the average return and volatility of the portfolio. c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.9. d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks.
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You are examining a portfolio consisting of three stocks. Using the data in the table a. Compute the annual returns for a portfolio with 25% invested in North Air, 25% invested in West Air, and 50% invested in Tex Oil. b. What is the lowest annual return for your portfolio in part (a)? How does it compare with the lowest annual return of the individual stocks or portfolios in the table above. a. Compute the annual returns for a portfolio with 25% invested in North Air, 25% invested in West Air, and 50% invested in Tex Oil. The annual return for 2014 will be: (Round to two decimal places.) Year 2014 Year 2016 North Air 21% Year 2018 North Air The annual return for 2015 will be: (Round to two decimal places.) Year 2019 29% 6% Year 2015 The annual return for 2016 will be: (Round to two decimal places.) North Air North Air West Air West Air -6% 8% North Air -1% West Air North Air 21% 8% 6% The annual return for 2017 will be: (Round to two decimal places.) West Air Year 2017 The annual…
Imagine you wish to estimate the betas for two investments, A and B. You have gathered the following return data for the market and for each of the investments over the past 10 years, 2010-2019 2019 Year 2010 2011 2012 2013 2014 2015 2016 2017 2018 12% Market returns 2% 13% -7% 1% 9% 10% 21% -10% 4% 10% Stock A returns 5% 10% -2% 0% 5% 12% 15% -9% 1% 15% Stock B returns 7% 9% 3% -2% 11% 9% 10% -11% 2% a. On a set of market return (x-axis)-investment return (y-axis) axes, use the data to draw the characteristic lines for investments A and B on the same graph. b. Use the characteristic lines from part a to estimate the betas for investments A and B. c. Use the betas found in part b to comment on the relative risks of investments A and B
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a) Assume that you bought 200 stock B in your portfolio for total investment of $1200, now the market price of the stock is $75, the dividend paid for this stock is $2 each year. How much is the capital gain of this stock? b) Assume that the following data available for the portfolio, calculate the expected return, variance and standard deviation of the portfolio given stock A accounts for 45% and stock B accounts for 55% of your portfolio? A B Expected return 12.50% 18.50% Standard Deviation of return 15% 20% Correlation of coefficient (p) 0.4
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