An annuity has the first monthly payment of $750$ occurring in five years. Each payment thereafter is $1\mathrm{.}0\%$ greater than the preceding payment. The final payment occurs exactly $15$ years after the first payment. The annuity has a present value of P based on an annual nominal interest rate of $7\mathrm{.}2\%$ compounded monthly. Calculate P$.$An annuity has the first monthly payment of $750$ occurring in five years. Each payment thereafter is $1\mathrm{.}0\%$ greater than the preceding payment. The final payment occurs exactly $15$ years after the first payment. The annuity has a present value of P based on an annual nominal interest rate of $7\mathrm{.}2\%$ compounded monthly. Calculate P$.$