Suppose its December 1989 (the Wall had just came down, Milli Vanilli was all the rage, Freddie Mercury was alive, and yours truly was practicing for the local precursor to the X Factor, where his band was finalist with a cover of Close to Me and original work that sounded like grunge before grunge was a thing, though, of course, Nirvana and the like where doing it on purpose, we were just incompetent1so sorry for people who had not been born then, they just dont know what they missed). You are looking into a new 30-year bondits first payment will take place in December of 1990, the last in December 2019that the US government is about to issue.

a. Find the coupon rate that the bond should be issued so that it starts trading as close to par as possible, given that coupon rates change in .125% increments (i.e., there are 2.5% coupon rates, 2.625% coupon rates, but no 2.55% coupon rates).given data is zero-coupon yield curve from 1985 to 2020.