Table $1$: Scenario Analysis for Returns $($A$)$ Scenario$($B$)$ Probability$($C$)$ Rate of Return$($D$)($E$)($F$)($G$)$Severe recession$0\mathrm{.}05-27\%$Mild recession$0\mathrm{.}25-7\%$Normal growth$0\mathrm{.}4012\%$Boom$0\mathrm{.}3017\%$Expected Return $=$Variance $=$Standard Deviation $=$ Table $2$: Stock and Bond Fund Returns $($A$)$ Scenario$($B$)$ Probability$($C$)$ Stock Fund$($D$)$ Bond Fund$($E$)($F$)$Severe recession$0\mathrm{.}05-17\mathrm{.}90\%$Mild recession$0\mathrm{.}2512\mathrm{.}10\%$Normal growth$0\mathrm{.}405\mathrm{.}10\%$Boom$0\mathrm{.}30-13\mathrm{.}90\%$Covariance $=$ Consider the following table $(14$ Marks$)$:Stock Fund Rate of ReturnBond Fund Rate of Return a$)$ Calculate the values of mean return and variance for the stock fund $(7$ Marks$).)$ Calculate the value of the covariance between the stock and bond funds $(7$ Marks$).$