On Thursday, $29$ February $2024,$ you purchase a $$1,000$ Treasury bond that matures on May $15,2031($settlement occurs one day after purchase, so you receive actual ownership of the bond on Friday, March $1,2024).$ The coupon rate on the Treasury$-$note is $4\mathrm{.}00$ percent. The last coupon payment occurred on November $15,2023,$ and the next coupon payment will be paid on May $15,2024.$ The price that your dealer quotes you is $$981\mathrm{.}59.$ Yields on similar bonds are currently $4\mathrm{.}5$ percent.

Calculate the clean price of this bond.