A bond with face value $$1,000$ has a current yield of $6\mathrm{.}4\%$ and a coupon rate of $8\mathrm{.}4\%.$

If interest is paid annually, what is the bond$$s price?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

If the bond is selling at $$966,$ is its yield to maturity more or less than $8\mathrm{.}4\%?$