A 20-year bond with a face value of $1,000 is redeemable at par. The bond will pay annual coupons at a rate of 5% per year and is priced at $885.30 to yield an annual effective rate of 6%. The bond has a modified duration of 11.904 and a modified convexity of 197.238. If the yield were decreased to 5%, the second-order modified approximation of the new price would be $X, while the actual new price would be $Y . Find the difference X Y .

(A) -9.31

(B) -0.58

(C) 0.00

(D) 0.58

(E) 9.31