Sam purchased a Treasury bond with a coupon rate of 4.07% and face value of $100. The maturity date of the bond is 15 April 2029. (b) In fact, Billy purchased Sam's bond on 4 February 2018. What was Billy's purchase price (rounded to four decimal places)? Assume a yield of 3.84% p.a. compounded half-yearly.

a. 101.3041 b. 103.2408 c.103.3201 d. 103.3243