If you require an "effective" annual interest rate $($not a nominal rate$)$ of $9\mathrm{.}45\%,$ how much should you be willing to pay for the bond? Do not round intermediate steps. Round your answer to the nearest cent.

you are considering a $10-$year, $$1,000$ par value bond. Its coupon rate is $9\%,$ and interest is paid semiannually.