Suppose you want to buy a house for $$420,000$ and you have $$40,000$ in savings you can use as a down payment.

The rest you finance with a $5-$year mortgage $($monthly payments$)$ with a quoted interest rate of $5\mathrm{.}34\%($APR$,$ COMPOUNDED SEMI ANNUALLY$)$

Assume that this mortgage is amortized over $25$ years.

a$)$ What are the monthly payments over the $5-$year term of the mortgage?