A bond with face value $$1,000$ has a current yield of $6\mathrm{.}7\%$ and a coupon rate

of $8\mathrm{.}7\%.$

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

Note: Do not round intermediate calculations. Round your answer to

$2$ decimal places.

b$.$ If the bond is selling at $$963,$ is its yield to maturity more or less than

$8\mathrm{.}7\%?$