What is the value of zero$-$coupon bond with a par value of $$1,000$ and a yield to maturity of $6\mathrm{.}40\%?$ The bond has $8$ years to maturity.

$$654\mathrm{.}03$

$$644\mathrm{.}16$

$$608\mathrm{.}79$

$$588\mathrm{.}16$

$$639\mathrm{.}15$