Today is 1 July 2021. Sarah has a portfolio which consists of two differenttypes of financial instruments (henceforth referred to as instrument A and instrumentB). Joan purchased all instruments on 1 July 2015 tocreate this portfolio and this portfolio is composed of 298 units of instrumentA and 475 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 = 3.38% p.a. and face value of 100. This bond matures at par. The maturity date is 1 January 2024.

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 isj₂ =3.69% p.a.

a.58.8503

b.73.2867

c.54.0099

d.57.7841