What is the price of a long$-$term discount security with a face value $$1,000,$ yield of $3\mathrm{.}25\%$ p$.$a$,3$ years to maturity and compounded monthly.

Group of answer choices

$$1098\mathrm{.}76$

$$1000$

$$968\mathrm{.}51$

$$907\mathrm{.}22$