A $12-$year annuity pays $$1,400$ per month, and payments are made at the end of each month. The interest rate is $14$ percent compounded monthly for the first five years and $13$ percent compounded monthly thereafter.

What is the present value of the annuity?

Multiple Choice

$$98,538\mathrm{.}73$

$$96,567\mathrm{.}95$

$$100,509\mathrm{.}50$

$$1,182,464\mathrm{.}71$

$$137,124\mathrm{.}88$