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 385 units of instrument A and 334 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 = 2.99% p.a. and face value of 100. This bond matures at par. The maturity date is 1 January 2024. (b) Calculate the current price of instrument B per $100 face value (today's value). Round your answer to four decimal places. Assume the yield rate is j₂ = 4.07% p.a. and Joan has just received the coupon payment. a. 96.9788 O b. 98.9523 c. 93.8860 O d. 97.4573

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter6: Fixed-income Securities: Characteristics And Valuation
Section: Chapter Questions
Problem 9P
Question
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 385 units of instrument A and 334 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 = 2.99% p.a. and face value of 100. This bond matures at par. The maturity date is 1 January 2024.
(b) Calculate the current price of instrument B per $100 face value (today's value). Round your answer to four decimal places. Assume the yield rate is j₂ = 4.07% p.a. and Joan has just received the coupon payment.
a. 96.9788
O b. 98.9523
c. 93.8860
O d. 97.4573
Transcribed Image Text: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 385 units of instrument A and 334 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 = 2.99% p.a. and face value of 100. This bond matures at par. The maturity date is 1 January 2024. (b) Calculate the current price of instrument B per $100 face value (today's value). Round your answer to four decimal places. Assume the yield rate is j₂ = 4.07% p.a. and Joan has just received the coupon payment. a. 96.9788 O b. 98.9523 c. 93.8860 O d. 97.4573
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