You have just purchased $($today$)$ a new home for $$800,000.$ You borrowed $80\%$ of the purchase price from Wells Fargo. You agree to make $240$ monthly payments. The interest rate is $9\%$ APR $($monthly compounding$).$ The first payment is due one month from today. Wells offers to reduce the interest rate from $9\%$ to $8\mathrm{.}75\%$ if you pay a fee of $$5,000$ today. Determine the savings $($positive$/$negative$)($savings are net of the $$5,000$ fee$).$