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Consider the following table:

Scenario Probability Stock Fund

Rate of Return Bond Fund

Rate of Return

Severe recession $0\mathrm{.}0527\%12\%$

Mild recession $0\mathrm{.}257\%18\%$

Normal growth $0\mathrm{.}4012\%11\%$

Boom $0\mathrm{.}3017\%8\%$

Required:

Calculate the values of mean return and variance for the stock fund.

Note: Do not round intermediate calculations. Round "Mean return" value to $1$ decimal place and "Variance" to $2$ decimal places.

Calculate the value of the covariance between the stock and bond funds.

Note: Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to $2$ decimal places.

Required:

a$.$ Calculate the values of mean return and variance for the stock fund.

Note: 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.

Note: Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to $2$

decimal places.