The returns on Relnvest Ltd. and GEM Inc. stocks over the past five months are as follows: Relnvest Ltd GEM Inc January 15% -3% February -3% 3% March 8% 4% April -1% 13% May -4% -2% a. Calculate the standard deviation of the returns of each stock. b. Calculate the standard deviation of the returns of a portfolio that invests in both stocks equally each month. c. Which stock is least risky if held on its own? Is the standard deviation of your portfolio returns smaller or higher than the standard deviation of this stock? What is the underlying reason to this

The returns on Relnvest Ltd. and GEM Inc. stocks over the past five months are as follows: Relnvest Ltd GEM Inc January 15% -3% February -3% 3% March 8% 4% April -1% 13% May -4% -2% a. Calculate the standard deviation of the returns of each stock. b. Calculate the standard deviation of the returns of a portfolio that invests in both stocks equally each month. c. Which stock is least risky if held on its own? Is the standard deviation of your portfolio returns smaller or higher than the standard deviation of this stock? What is the underlying reason to this

Financial Management: Theory & Practice

16th Edition

ISBN:9781337909730

Author:Brigham

Publisher:Brigham

Chapter6: Risk And Return

Section: Chapter Questions

Problem 4P: An analyst gathered daily stock returns for Feburary 1 through March 31, calculated the Fama-French...

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An analyst gathered daily stock returns for Feburary 1 through March 31, calculated the Fama-French factors for each day in the sample (SMBt and HMLt), and estimated the Fama-French regression model shown in Equation 6-21. The estimated coefficients were ai = 0, bi = 1.2, ci = 0.4, and di = 1.3. On April 1, the market return was 10%, the return on the SMB portfolio (rSMB) was 3.2%, and the return on the HML portfolio (rHML) was 4.8%. Using the estimated model, what was the stocks predicted return for April 1?
The monthly rates of return for two corporations are given below:Month ABC Ltd. XYZ Ltd.January -.06 .09February .08 -.04March -.09 -.12April .14 .17May -.02 -.08June .05 .04Compute the following:a. Expected monthly rate of return [E(Ri)] for each stock. b. Standard deviation of returns for each stock. c. The covariance between the rates of return. d. The correlation coefficient between the rates of return.Considering the correlation coefficient, would these two stocks offer a good chance fordiversification? Why or why not?
The following are the monthly rates of return for Madison Cookies and for Sophie Electric during a six-month period. Month Madison Cookies Sophie Electric 1 -0.04 0.07 2 0.06 -0.02 3 -0.07 -0.10 4 0.12 0.15 5 -0.02 -0.06 6 0.05 0.02 Compute the following: a) Average monthly rate of return for each stock b) Standard deviation of returns for each stock c) Covariance between the rates of returns d) The correlation coefficient between the rates of return e) What level of correlation would you have expected before performing your calculations? f) How did your expectations compare with the computed correlation? g) Would these two stocks be good choices for diversification? Why or why not?
The following are the monthly rates of return for Madison Cookies and for Sophie Electric during a six-month period. Month Madison Cookies Sophie Electric 1 −0.04 0.072 0.06 −0.023 −0.07 −0.104 0.12 0.155 −0.02 −0.066 0.05 0.02 Compute the following. a. Average monthly rate of return Ri for each stockb. Standard deviation of returns for each stockc. Covariance between the rates of returnd. The correlation coefficient between the rates of returnWhat level of correlation did you expect? How did your expectations compare with the computed…
How do i start this question? Ford stock produced the following monthly returns (January - May): 1%, 10%, 6%, 3%, and 2%. I) Calculate the average return for each stock. II) Calculate the standard deviation of monthly return for each stock.
The following are the monthly rates of return for Madison Cookies and for Sophie Electric during a six-month period. Month Madison Cookies Sophie Electric 1 -0.04 0.07 2 0.06 -0.02 3 -0.07 -0.10 4 0.12 0.15 5 -0.02 -0.06 6 0.05 0.02 Compute the following: a. Average monthly rate of return, Ri, for each stock b. Standard deviation of returns for each stock c. Covariance between the rates of return d. The correlation coefficient between the rates of return What level of correlation would you have expected before performing your calculations? How did your expectations compare with the computed correlation? Would these two stocks be good choices for diversification? Why or why not?
Here are the returns on two stocks. Digital Executive Cheese Fruit January +15 +8 February -2 +1 March +4 +6 April +6 +16 May -3 +2 June +2 +6 July -1 -2 August -7 -1 Required: a-1. Calculate the variance and standard deviation of each stock. a-2. Which stock is riskier if held on its own? b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. c. Is the variance more or less than halfway between the variance of the two individual stocks? Complete this question by entering your answers in the tabs below. Req A1 Req A2 Req B Req C Calculate the variance and standard deviation of each stock. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Variance Standard deviation Digital Cheese Retum Executive Fruit Return % %
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Here are the returns on two stocks. Digital Executive Cheese Fruit January +19 +8 February -3 +1 March +5 +4 April +7 +17 May 4 +2 June +3 +4 July August 2 8 aces Required: a-1. Calculate the variance and standard deviation of each stock. a-2. Which stock is riskier if held on its own? b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. c. Is the variance more or less than halfway between the variance of the two individual stocks?
3. The following are the monthly rates of return for Madison Cookies and for Sophie Electric during a six-month period. Month 1 2 345WN 6 Madison Cookies -0.04 0.06 -0.07 0.12 -0.02 0.05 Sophie Electric 0.07 -0.02 -0.10 0.15 -0.06 0.02 Compute the following. a. Average monthly rate of return R; for each stock b. Standard deviation of returns for each stock c. Covariance between the rates of return d. The correlation coefficient between the rates of return What level of correlation did you expect? How did your expectations compare with the computed correlation? Would these two stocks be good choices for diversification? Why or why not?
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 Plot the following estimated returns for the nest year on the SML and indicate which stocks are undervalued or overvalued.a. Padma – 22 percentb. Meghan – 17 percentc. Jamuna – 16 percentd. Karnafully – 12 percent.
GM stock produced the following monthly returns (Jan.- May): 5%, 8%. -2%, 12%and 15% Ford stock produced the following monthly returns ( Jan.- May): 1%, 10%, 6%, 3% and 2%. 1) Calculate the average return for each stock 2) Calculate the standard deviation of monthly return for each stock. 3) Calculate the correlation coefficient b/w GM and Ford Stock. PLEASE SHOW ME THE STEPS. THANK YOU.