Big Dom's Pawn Shop charges an interest rate of $13$ percent per month on loans to its customers. Like all lenders, Big Dom must report an APR to consumers.

a$.$ What rate should the shop report?

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$.$ What is the effective annual rate?

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

Answer is complete but not entirely correct.

$\backslash$table$[[$a$.$ Annual percentage rate,$1,856\mathrm{.}56x,\%$