A mortgage pass-through security (PT) has a par value of $100,000, a 4% coupon paid monthly, and is based on 30-year mortgages. The current market rate for similar bonds is 3.5%, and prepayments currently equal $100 per month. Assume rates immediately rise to 4.5%, and prepayments drop to $40 as a result. The PT will now be paid off in month 310. What is the price of the PT today?

(A) $94,737.4877

(B) $184,274.6844

(C) $98,323.2214

(D) $102,365.1248