You are considering a $10$ year, $$1,000$ par value bond. Its coupon rate is $9\%,$ and interest is paid semi$-$annually. If you require an "effective" annual interest rate $($not a nominal rate$)$ of $8\mathrm{.}25\%,$ how much should you be willing to pay for the bond?

Group of answer choices

$$975\mathrm{.}85$

$$1188\mathrm{.}45$

$$1,098\mathrm{.}60$

$$835\mathrm{.}87$

$$1,061\mathrm{.}84$