Today is March 21, 2023. Jack plans to buy a Treasury bond that matures in May 2052. The bond pays coupons semi-annually on May 15 and November 15 of each year. The Treasury bond has an annual coupon rate of 5 percent. If Jack buys the bond today, there are 56 days to the next coupon payment (out of the 184 days in the current semi-annual period). How much must Jack pay for the bond if he knows the clean price of this bond is $1,150?