You purchased a house and took a $$650,000$ loan with a $30-$year term at $4\mathrm{.}5\%$ nominal annual interest rate compounded monthly.

a$)$ What is your monthly payment to the nearest penny?

b$)$ If you pay off the loan at the end of $5$ years $($after ${60}^{th}$ payment$)$ how much will you have to pay the bank at that time to the nearest penny?