Covariance and Correlation The following table shows the expected returns from six different stocks in three different states of the economy: State of Economy Probability Return Stock A Return Stock B Return Stock C Return Stock D Return Stock E Return Stock F Growth 0.25 31% 3% 15% 21% 0% 18% Status Quo 0.50 21% 1% 3% 7% 4% 3% Recession 0.25 20% 4% -5% -6% 6% -4% Consider of a portfolio consisting of 50% in Stock E and 50% in Stock F. Calculate the covariance between Stocks E and F. Calculate the expected return of the portfolio. Calculate the standard deviation of the portfolio.
Covariance and Correlation The following table shows the expected returns from six different stocks in three different states of the economy: State of Economy Probability Return Stock A Return Stock B Return Stock C Return Stock D Return Stock E Return Stock F Growth 0.25 31% 3% 15% 21% 0% 18% Status Quo 0.50 21% 1% 3% 7% 4% 3% Recession 0.25 20% 4% -5% -6% 6% -4% Consider of a portfolio consisting of 50% in Stock E and 50% in Stock F. Calculate the covariance between Stocks E and F. Calculate the expected return of the portfolio. Calculate the standard deviation of the portfolio.
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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Covariance and Correlation
The following table shows the expected returns from six different stocks in three different states of the economy:
|
State of Economy |
Probability |
Return Stock A |
Return Stock B |
Return Stock C |
Return Stock D |
Return Stock E |
Return Stock F |
|
Growth |
0.25 |
31% |
3% |
15% |
21% |
0% |
18% |
|
Status Quo |
0.50 |
21% |
1% |
3% |
7% |
4% |
3% |
|
Recession |
0.25 |
20% |
4% |
-5% |
-6% |
6% |
-4% |
- Consider of a portfolio consisting of 50% in Stock E and 50% in Stock F. Calculate the covariance between Stocks E and F. Calculate the expected return of the portfolio. Calculate the standard deviation of the portfolio.
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