You plan to buy a $$220000$ home with a $10\%$ down payment. The bank you want to finance the purchase suggests two options $($use semiannual compounding$)$:

Option $1$:$20-$year mortgage at $8\mathrm{.}36\%$ nominal annual interest rate.

Option $2$:$30-$year mortgage at $10\mathrm{.}96\%$ nominal annual interest rate.

What is the equivalent monthly interest rate for each option? $($Keep $4$ decimal places in answers$)$

Equivalent monthly interest rate Option $1$:

$\%$

Equivalent monthly interest rate Option $2$:

$\%$

What is the monthly payment of each option? $($Keep $2$ decimal places in answers$)$

Monthly payment Option $1$:$

Monthly payment Option $2$: $