Today is 1 July, 2019. Heidelinde has a portfolio which consists of two different types of financial instruments (henceforth referred to as instrument A and instrument B). Heidelinde purchased all instruments on 1 July 2010 to create this portfolio, which is composed of 37 units of instrument A and 30 units of instrument B.

• Instrument A is a zero-coupon bond with a face value of $100. This bond matures at par. Its maturity date is 1 January 2029.
• Instrument B is a Treasury bond with a coupon rate of j₂ = 2.47% p.a. and a face value of $100. This bond matures at par. Its maturity date is 1 January 2022.

Calculate the current price of instrument A per $100 face value. Round your answer to four decimal places. Assume the yield rate is j₂ = 3.63% p.a.

a.

$71.0520

b.

$50.7897

c.

$51.4002

d.

$50.4839