You are considering an investment in either individual stocks or a portfolio of stocks. The two stocks you are researching, Stock A and Stock B, have the following historical returns:  Year rA rB 2014 -20.00% -5.00% 2016 42.00 15.00 2017 20.00 -13.00 2018 -8.00 50.00 2019 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.

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

Year

rA

rB

2014

-20.00%

-5.00%

2016

42.00

15.00

2017

20.00

-13.00

2018

-8.00

50.00

2019

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. Suppose you are a risk-averse investor. Assuming Stocks A and B are your only choices, would you prefer to hold Stock A, Stock B, or the portfolio? Why? 

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