Today is 1 July 2018. Matt is 30 years old today. Matt has a portfolio which consists of three Treasury bonds (henceforth referred to as bond A, bond B and bond C). There are 200 units of bond A, 300 units of bond B and 500 units of bond C. Bond C is a Treasury bond which matures on 1 January 2021. One unit of bond C has a coupon rate of j2 = 3.35% p.a. and a face value of $100. Matt purchased this Treasury bond on 1 January 2018. The purchase yield rate was j2 = 3.4% p.a. Find the purchase price of one unit of bond C.