The standard deviation of the market$-$index portfolio is $50\%.$ Stock A has a beta of $1\mathrm{.}30$ and a residual standard deviation of $60\%.$

Required:

a$.$ Calculate the total variance for an increase of $0\mathrm{.}20$ in its beta. $($Do not round intermediate calculations.$)$

Total variance

b$.$ Calculate the total variance for an increase of $59$ percentage points in its residual standard deviation. $($Do not round intermediate calculations.$)$

Total variance

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