# What is the variance of portfolio returns?

Returns on stocks X and Y are listed below:

 Period 1 2 3 4 5 6 7 Stock X 8% 0% 3% -2% 5% 12% 7% Stock Y 5% -2% 4% 7% 1% 12% -3%

What is the correlation of returns on the two stocks?

Note that the correct answer will be evaluated based
on the full-precision result you would obtain using Excel.

Q2)

Returns on stocks X and Y are listed below:

 Period 1 2 3 4 5 6 7 Stock X 4% 7% -2% 40% 0% 10% -1% Stock Y 2% -5% 7% 4% 6% 11% -4%

Consider a portfolio of 10% stock X and 90% stock Y.

What is the mean of portfolio returns?

Please specify your answer in decimal terms and round your answer to the nearest thousandth (e.g., enter 12.3 percent as 0.123).

Q3)

Returns on stocks X and Y are listed below:

 Period 1 2 3 4 5 6 7 Stock X 4% 7% -2% 40% 0% 10% -1% Stock Y 2% -5% 7% 4% 6% 11% -4%

Consider a portfolio of 10% stock X and 90% stock Y.

What is the (population) standard deviation of portfolio returns?

Please specify your answer in decimal terms and round your answer to the nearest thousandth (e.g., enter 12.3 percent as 0.123).

Note that the correct answer will be evaluated based
on the full-precision result you would obtain using Excel.

Q4)

Summary statistics for returns on two stocks X and Y are listed below.

 Mean Variance Stock X 3.41% 0.003000 Stock Y 5.25% 0.004000

The covariance of returns on stocks X and Y is 0.001800. Consider a portfolio of 20% stock X and 80% stock Y.

What is the mean of portfolio returns?

Please specify your answer in decimal terms and round your answer to the nearest thousandth (e.g., enter 12.3 percent as 0.123).

Q5)

Summary statistics for returns on two stocks X and Y are listed below.

 Mean Variance Stock X 2.85% 0.005000 Stock Y 5.91% 0.006000

The covariance of returns on stocks X and Y is 0.002800. Consider a portfolio of 30% stock X and 70% stock Y.

What is the variance of portfolio returns?