Mary is buying a town house priced at $$360,000\mathrm{.}00.$ Mortgage A calls for her to make equal monthly payments for $10$ years at a monthly interest rate of $0\mathrm{.}96\%$ with her first payment due in $1$ month. However, her loan officer has offered her a new opportunity involving equal monthly payments for $15$ years at a monthly interest rate of $1\mathrm{.}26\%$ with her first payment due later today. By how much would switching from mortgage A to the new opportunity reduce the amount of Mary's monthly loan payment?

$$80\mathrm{.}32($plus or minus $10$ cents$)$

$$60\mathrm{.}48($plus or minus $10$ cents$)$

$$10\mathrm{.}31($plus or minus $10$ cents$)$

$$24\mathrm{.}83($plus or minus $10$ cents$)$

none of the answers are within $10$ cents of the correct answer