Tom purchased a zero$-$coupon bond with a face value of $$1,000$ and $3$ years to maturity. If the yield to maturity $($YTM$)$ is $7\%,$ calculate the present value of the bond.

$$1,121\mathrm{.}30$

$$816\mathrm{.}30$

$$1000$

$$934\mathrm{.}85$