Suppose that $4$ years ago you took a mortgage loan for $$237,077$ at $9\%$ for $30$ years, monthly payments. This loan has a prepayment penalty of $5\%$ of the outstanding balance for the first $8$ years of life. The market rate on new mortgages now is $3\mathrm{.}7\%.$ Lenders are charging $4\%$ financing costs on new loans. Your opportunity cost is $3\mathrm{.}7\%.$

Suppose you want to have no out$-$of$-$pocket expenses and you want to extend the term on the new loan to $30$ years. Also, assume the contract rate on the new loan remains at $3\mathrm{.}7\%$ and the loan is held to maturity. Determine whether you should refinance the payoff of the existing loan by calculating the NPV$.$

Note: If your NPV is negative, make sure to enter it as a negative number $($should not refinance$).$ If your NPV is positive, make sure to enter it as a positive number $($should refinance$).$