Derrick has an investment worth $$156,315\mathrm{.}50.$ The investment will make a special payment of X to Derrick in $5$ months from today and the investment also will make regular, fixed monthly payments of $$2,160\mathrm{.}00$ to Derrick forever. The expected return for the investment is $1\mathrm{.}52$ percent per month and the first regular, fixed monthly payment of $$2,160\mathrm{.}00$ will be made to Derrick in one month from today. What is X$,$ the amount of the special payment that will be made to Derrick in $5$ months? An amount less than $$14,300\mathrm{.}00$ or an amount greater than $$157,350\mathrm{.}00$ An amount equal to or greater than $$14,300\mathrm{.}00$ but less than $$24,100\mathrm{.}00$ An amount equal to or greater than $$24,100\mathrm{.}00$ but less than $$89,000\mathrm{.}00$ An amount equal to or greater than $$89,000\mathrm{.}00$ but less than $$149,250\mathrm{.}00$ An amount equal to or greater than $$149,250\mathrm{.}00$ but less than $$157,350\mathrm{.}00$