You bought an annuity selling at $$4,188\mathrm{.}65$ today that promises to make equal payments at the beginning of each year for the next four years $($N$).$ If the annuity$$s appropriate interest rate $($I$)$ remains at $5\mathrm{.}00\%$ during this time, what will be the value of the annual annuity payment $($PMT$)?$

$$1,406\mathrm{.}25$

$$1,631\mathrm{.}25$

$$2,303\mathrm{.}76$

$$1,125\mathrm{.}00$