12. (Term structure and bond price) You are given an incomplete specification of the term structure, as specified by the spot rates and forward rates noted next. You also know that the price of a 6-year bond with coupon rate 10% is $145.749 and the price of a 6-year bond with coupon rate 5% is $100.315. For all bonds, the face value is $100, and the coupons are paid annually. Assuming continuous compounding, find the missing rates. $i =?, 52 =6.9%, $3 = 7.5%, 4 =?, $5 = 8.4%, 56=? f1.2 = 7.8%, 12,3 = 8.7%, 15.6 =?, f1,3 = 8.25%, 52,4 = 11.55%