Ronnie and his wife Lori have a home mortgage of $$250,000$ at $4\mathrm{.}0\%$ annual interest for $30$ years. Their current monthly payment is $$1,193\mathrm{.}54.$ How much do they save in interest expense over the life of the mortgage, if they re$-$finance the loan $($same loan amount$)$ for $15$ years at an interest rate of $2\mathrm{.}25\%?$

Group of answer choices

$$134,885\mathrm{.}62$

$$108,229\mathrm{.}98$

$$44,788\mathrm{.}15$

$$179,673\mathrm{.}77$