What is the value of a $$1,000$ par value bond that has $10$ years left to maturity and pays an annual coupon interest rate of $4\mathrm{.}6\%$ if bonds of similar risk are yielding $6\mathrm{.}5\%?$

$$1,000\mathrm{.}00$

$$1,149\mathrm{.}61$

$$863\mathrm{.}41$

$$777\mathrm{.}78$