The mortgage on your house is five years old. It required monthly payments of $$1402,$ had an original term of $30$ years, and had an interest rate of $10\%($APR$).$ During the past five years, interest rates have fallen and so you have decided to refinance$$that is$,$ you will roll over the outstanding balance into a new mortgage. The new mortgage has a $30-$year term, requires monthly payments, and has an interest rate of $6\mathrm{.}625\%($APR$).5$a$.$ What is your outstanding balance of the mortgage?