The standard deviation of the market$-$index portfolio is $40\%.$ Stock A has a beta of $1\mathrm{.}75$ and a residual standard deviation of $50\%.$

Required:

a$.$ Calculate the total variance for an increase of $0\mathrm{.}10$ in its beta. $($Do not round intermediate calculations.$)$

Answer is complete but not entirely correct.

b$.$ Calculate the total variance for an increase of $3$ percentage points in its residual standard deviation. $($Do not round intermediate

calculations.$)$

Answer is complete but not entirely correct.