You purchase a house for $$535,000$ exactly $9$ years ago using a $75\%$ LTV fixed rate mortgage amortized over $30$ years ar $6\mathrm{.}25\%.$ This loan had a $5\%$ prepayment penalty associated with it$.$ You are thjnking of refinancing your outstandinf balance and have defided to pay any costs inchrred in the process out of pocket. The best rate currently available is $2\mathrm{.}25\%$ for $30$ years with monthly payments. This new loan has a $1\%$ origination fee, $3$ discount points and no prepayment penalty. You intend to remain in the home for $11$ more years