Today is 1 July, 2019. Camilla has a portfolio which consists of two different types of financial instruments (henceforth referred to as instrument A and instrument B). Camilla purchased all instruments on 1 July 2011 to create this portfolio, which is composed of 22 units of instrument A and 22 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=3.46% p.a. and a face value of $100. This bond matures at par. Its maturity date is 1 January 2022.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
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Chapter6: Fixed-income Securities: Characteristics And Valuation
Section: Chapter Questions
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Today is 1 July, 2019. Camilla has a portfolio which
consists of two different types of financial instruments
(henceforth referred to as instrument A and instrument
B). Camilla purchased all instruments on 1 July 2011 to
create this portfolio, which is composed of 22 units of
instrument A and 22 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=3.46% p.a. and a face value of $100. This
bond matures at par. Its maturity date is 1 January
2022.
What is the duration of instrument B? Express your
answer in terms of years and round your answer to three
decimal places. Assume a yield rate of j2=2.99% p.a.
a. 4.834 years
b. 2.876 years
c. 5.753 years
d. 2.417 years
Transcribed Image Text:Today is 1 July, 2019. Camilla has a portfolio which consists of two different types of financial instruments (henceforth referred to as instrument A and instrument B). Camilla purchased all instruments on 1 July 2011 to create this portfolio, which is composed of 22 units of instrument A and 22 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=3.46% p.a. and a face value of $100. This bond matures at par. Its maturity date is 1 January 2022. What is the duration of instrument B? Express your answer in terms of years and round your answer to three decimal places. Assume a yield rate of j2=2.99% p.a. a. 4.834 years b. 2.876 years c. 5.753 years d. 2.417 years
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