Question $1$

$2$ points

During the past $10$ years, the percent returns on two mutual funds $($aggressive and passive$)$ expressed in percentages were as follows:

Year Aggressive Fund Passive Fund

$-100\%2\%$

$-96\%4\%$

$-80\%4\%$

$-71\%3\%$

$-69\%4\%$

$-52\%3\%$

$-46\%4\%$

$-31\%2\%$

$-22\%4\%$

Last Year $5\%3\%$

Note that this is a sample of returns.

a$)$ Compute the expected return for the two funds. Round your answers to two decimal places.

Aggressive $=$

Number

Passive $=$

Number

b$)$ Compute the variance and standard deviation of the returns of the two funds. Round your answers to two decimal places.

Variance:

Aggressive $=$

Number

Passive $=$

Number

Standard Deviation:

Aggressive $=$

Number

$\%$

Passive $=$

Number

$\%$