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.

EBK CFIN
6th Edition
ISBN:9781337671743
Author:BESLEY
Publisher:BESLEY
Chapter8: Risk And Rates Of Return
Section: Chapter Questions
Problem 18PROB
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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

 

  1. Calculate the average rate of return for each stock during the period 2010 through 2014.
  2. 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?
  3. Calculate the standard deviation of returns for each stock and for the portfolio.
  4. Calculate the coefficient of variation for each stock and for the portfolio.
  5. Assuming you are a risk-averse investor, would you prefer to hold Stock A, Stock B, or the portfolio? Explain thoroughly why. 
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