Q#3. Stocks A and B have the following historical returns: Year rA rB 2015 -18% 56% 2016 44% 8% 2017 -22% -4% 2018 22% 24% 2019 34% -24% A. Calculate the average rate of return for each stock during the 5-year period. As that someone held a portfolio consisting of 50% of Stock A and 50% of Stock What would have been the realized rate of return on the portfolio in each year? would have been the average return on the portfolio for the 5-year period? Now oloulate the stondard doviationn of rotuurn for ook for the por D
Q#3. Stocks A and B have the following historical returns: Year rA rB 2015 -18% 56% 2016 44% 8% 2017 -22% -4% 2018 22% 24% 2019 34% -24% A. Calculate the average rate of return for each stock during the 5-year period. As that someone held a portfolio consisting of 50% of Stock A and 50% of Stock What would have been the realized rate of return on the portfolio in each year? would have been the average return on the portfolio for the 5-year period? Now oloulate the stondard doviationn of rotuurn for ook for the por D
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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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.
Question
![Q#3.
Stocks A and B have the following historical returns:
Year
rA
rB
2015
-18%
56%
2016
44%
8%
2017
-22%
-4%
2018
22%
24%
2019
34%
-24%
A. Calculate the average rate of return for each stock during the 5-year period. Assume
that someone 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 for the 5-year period?
B. Now calculate the standard deviation of returns for each stock and for the portfolio.
C. Looking at the annual returns data on the two stocks, would you guess that the
correlation coefficient between returns on the two stocks is closer to 0.8 or to 20.8?
D. If you added more stocks at random to the portfolio, which of the following is the
most accurate statement of what would happen to o,?
O, would remain constant.
O, would decline to somewhere in the vicinity of 20%.
II.
I.
I.
O, would decline to zero if enough stocks were included.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc425735f-6c58-4353-96a6-fe0d91f99ec2%2F25ae6431-02da-4bc8-ad69-b329f31adf32%2Fjq3cqro_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q#3.
Stocks A and B have the following historical returns:
Year
rA
rB
2015
-18%
56%
2016
44%
8%
2017
-22%
-4%
2018
22%
24%
2019
34%
-24%
A. Calculate the average rate of return for each stock during the 5-year period. Assume
that someone 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 for the 5-year period?
B. Now calculate the standard deviation of returns for each stock and for the portfolio.
C. Looking at the annual returns data on the two stocks, would you guess that the
correlation coefficient between returns on the two stocks is closer to 0.8 or to 20.8?
D. If you added more stocks at random to the portfolio, which of the following is the
most accurate statement of what would happen to o,?
O, would remain constant.
O, would decline to somewhere in the vicinity of 20%.
II.
I.
I.
O, would decline to zero if enough stocks were included.
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