a. Calculate the expected portfolio return, rp, for each of the 6 years. b. Calculate the expected value of portfolio returns, , over the 6-year period. c. Calculate the standard deviation of expected portfolio returns, over the 6-year period.
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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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- 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.P8-3 Portfolio Return At the beginning of the month, you owned $12,000 of FordMotor, $18,000 of Netflix, and $20,000 of Wayfair. The monthly returns for Ford Motor,Netflix, and Wayfair were 1.50 percent, 1.0 percent, and − 1.50 percent. What is yourmonthly portfolio return? What is your effective annual portfolio return? To solve, first you must calculate each stock’s weight of the total portfolio.Times that weight for the stock’s contribution to the portfolio return, thensum all three stocksJamie Wong is thinking of building an investment portfolio containing two stocks, L and M. Stock L will represent 20%of the dollar value of the portfolio, and stock M will account for the other 80%. 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. 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.
- 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.Suppose you have portfolio of four stocks Stock A, B, C and D, Total investment in these stocks is equal to 2019331015 $, Beta of these stocks is 1.5, (0.5), 1.25, and 0.75 and proportion invested is 22%, 20%, 30%, and remaining in D. If the Risk free rate is 6% and market rate of return is 15%. Calculate a) Investment in each stock. b) Market premium c) Required Rate of return for each stock. d) Required rate of return of Portfolio. e) If expected rate of return of stock A is 10%, what do you think if it is overvalued or undervalued.The investment funds for your company includes the following: Stock $ Amount Invested Beta for Each Stock A $ 600,000 .8 B $ 1,800,000 1.4 C $ 2,400,000 1.7 D $ 700,000 -.6 E $ 3,000,000 1.1 You need to calculate the required rate of return for the investment. The market’s required return for Year 2020 is 12% and the risk free rate is 3% Show your work on the following: Calculate the average beta for the portfolio. Calculate the required rate of return for the entire portfolio. The CFO of your company is anticipating that the stock market will be decreasing in the near future. Please give a recommendation on which stock the company should sell and which stock the company should buy. The CFO also wants you to explain your answer.
- You have $10,000 to invest - $3,500 in Company ABC, the remaining amount in Company CBA. The expected returns for these stocks are 20% and 15%, respectively. The expected return on your portfolio is 18.25% 16.75%13.50%17.50%Stock A and stock C have the following historical returns: Year Stock A Return Beta Stock C Return Beta 2017 (18%) 0.80 (14.50) 0.90 2018 33% 1.5 21.80% 2.0 2019 15% 2.0 30.50% 1.0 2020 (5.50%) -0.90 (7.60%) -0.50 2021 27% 1.0 26.30% 1.5 a. Calculate the average rate of return for each stock during the period 2017-2021 b. Assume you want to create a portfolio consisting of 60 percent of stock A and 40 percent of stock C, b.1. What would be your realized rate of return on the portfolio have been each year? b.2. What would be your average rate of return on the portfolio have been during this period? c. Calculate the standard deviation of the portfolio return d. Calculate the coefficient of variation for each stock and for the portfolio. e. Assuming you are a risk-averse investor, would you prefer to hold Stock A, Stock B, or the portfolio? Why?2-9 We have the following information on a portfolio consisting of Stocks A, B, and C: A B C Expectd annual return 25% 20% 15% Standard Deviation of Return 35% 30% 25% Price per share 100 85 75 # shares 100,000 150,000 200,000 correlation coefficient (A,B) 0.5 correlation coefficient (A,C) 0.2 correlation coefficient (B,C) .8 number of days per year 365 What…
- Currently, the risk free return is 5 percent and the expected market rate of return is 12 percent. What is the expected return of the following three-stock portfolio? Amount invested Beta P400,000 1.5 500,000 2.0 100,000 4.0Listed below are the annual rates of return earned on Stock X, Stock Yand Stock Z over the past 6 years.Year Stock X Stock Y Stock Z2014 20% 16% 0%2015 15% 17% -2%2016 -10% 15% 1%2017 30% 11% 0%2018 25% 5% 1%2019 14% -25% 1%As risk-adverse investor, what portfolio would you choose? Here are the options:Stock X only, Stock Y only, Stock Z only, a 50/50 split portfolio made of X & Y,or a 90/10 split portfolio made of X & Y. Show your calculations and support yourchoice.Based on five years of monthly data, you derive the following information forthe companies listed: Company SDi rm Padma 11.10% 0.82 Meghna 12.60% 0.63 Jamuna 6.60% 0.45 Karnafully 9.70% 0.70 SD on Market 7.60% 1.00 Assuming a risk-free rate of 9% and expected return for the market portfolio is 16 % compute the expected (required) return for all the stocks.