Today is 1 July 2021. Joan has a portfolio which consists of two different types of financial instruments (henceforth referred to as instrument A and instrument B). Joan purchased all instruments on 1 July 2017 to create this portfolio and this portfolio is composed of 204 units of instrument A and 303 units of instrument B. Instrument A is a zero-coupon bond with a face value of 100. This bond matures at par. The maturity date is 1 January 2030. Instrument B is a Treasury bond with a coupon rate of j2 = 3.28% p.a. and face value of 100. This bond matures at par. The maturity date is 1 January 2024. (a) Calculate the current price of instrument A per $100 face value (today's value). Round your answer to four decimal places. Assume the yield rate is j2 =4.47% p.a.

a. 47.5492

b. 56.2873

c. 57.5453

d. 68.6763