A real estate investor purchased a property for $$1$ million. He made a $10\%$ down payment

and financed the remaining $$900,000$ at a $4\mathrm{.}5\%$ annual interest rate for $30$ years.

a$.$ Compute the monthly mortgage payment.

b$.$ Compute the mortgage loan balance after five years assuming every payment was

made on time and no additional loan payments were made.