Problem $6-6($Algo$)$

Consider the following table:

Scenario Probability Stock Fund

Rate of Return Bond Fund

Rate of Return

Severe recession $0\mathrm{.}1044\%11\%$

Mild recession $0\mathrm{.}2024\%17\%$

Normal growth $0\mathrm{.}4029\%10\%$

Boom $0\mathrm{.}3034\%7\%$

Required:

a$.$ Calculate the values of mean return and variance for the stock fund. $($Do not round intermediate calculations. Round "Mean return" value to $1$ decimal place and "Variance" to $2$ decimal places.$)$

b$.$ Calculate the value of the covariance between the stock and bond funds. $($Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$