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. (c) What is the current duration of instrument B? Express your answer in terms of years and round your answer to three decimal places. Assume the yield rate is j₂ = 4.07% p.a. a. 2.890 O b. 4.853 ○ c. 2.426 ○ d. 5.779

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.
(c) What is the current duration of instrument B? Express your answer in terms of years and round your answer to three decimal places. Assume the yield rate is j₂ = 4.07% p.a.
a. 2.890
O b. 4.853
○ c. 2.426
○ d. 5.779
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. (c) What is the current duration of instrument B? Express your answer in terms of years and round your answer to three decimal places. Assume the yield rate is j₂ = 4.07% p.a. a. 2.890 O b. 4.853 ○ c. 2.426 ○ d. 5.779
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
steps

Unlock instant AI solutions

Tap the button
to generate a solution

Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
EBK CONTEMPORARY FINANCIAL MANAGEMENT
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:
9781337514835
Author:
MOYER
Publisher:
CENGAGE LEARNING - CONSIGNMENT