You are considering an investment in either individual stocks or a portfolio of stocks. The two stocks you are researching, stocks A and B, have the following historical returns: Year rA rB 2009 -20.00% -5.00% 2010 42.00 15.00 2011 20.00 -13.00 2012 -8.00 50.00 2013 25.00 12.00 a. Calculate the average rate of return for each stock during the 5-year period. b. Suppose you had held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would have been the realized rate of return on the portfolio in each year? What would have been the average return on the portfolio during this period? c. Calculate the standard deviation of returns for each stock and for the portfolio. d. If you are a risk-averse investor, then, assuming these are your only choices, would you prefer to hold Stock A, Stock B, or the portfolio? Why?

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
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You are considering an investment in either individual stocks or a portfolio of stocks. The two stocks you are researching, stocks A and B, have the following historical returns:

Year

rA

rB

2009

-20.00%

-5.00%

2010

42.00

15.00

2011

20.00

-13.00

2012

-8.00

50.00

2013

25.00

12.00

a. Calculate the average rate of return for each stock during the 5-year period.

b. Suppose you had held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would have been the realized rate of return on the portfolio in each year? What would have been the average return on the portfolio during this period?

c. Calculate the standard deviation of returns for each stock and for the portfolio.

d. If you are a risk-averse investor, then, assuming these are your only choices, would you prefer to hold Stock A, Stock B, or the portfolio? Why?

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