You have decided to refinance your mortgage. You plan to borrow whatever is outstanding on your current mortgage. The current monthly payment is $ $2,488\mathrm{.}71$ and you have made every payment on time. The original term of the mortgage was $30$years$,$ and the mortgage is exactly four years and eight months old. You have just made your monthly payment. The mortgage interest rate is $5\mathrm{.}125\%($APR$).$ How much do you owe on the mortgage$$ today? $($Note$$: Be careful not to round any intermediate steps less than six decimal$$ places.$)$

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Part $1$

The amount you owe today is $$$