Today is 1 July, 2019. Siobhán has a portfolio which consists of two different types of financial instruments (henceforth referred to as instrument A and instrument B). Siobhán purchased all instruments on 1 July 2012 to create this portfolio, which is composed of 34 units of instrument A and 28 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=4.18% p.a. and a face value of $100. This bond matures at par. Its maturity date is 1 January 2022. Calculate the current duration of Siobhán's portfolio using a yield to maturity of j₂=4.52% p.a. Express your answer in terms of years and round your answer to two decimal places. O a. 5.23 years 7.00 years b. c. 5.56 years O d. 6.49 years

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Today is 1 July, 2019. Siobhán has a portfolio which consists
of two different types of financial instruments (henceforth
referred to as instrument A and instrument B). Siobhán
purchased all instruments on 1 July 2012 to create this
portfolio, which is composed of 34 units of instrument A
and 28 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=4.18% p.a. and a face value of $100. This bond
matures at par. Its maturity date is 1 January 2022.
Calculate the current duration of Siobhán's portfolio using a
yield to maturity of j₂=4.52% p.a. Express your answer in
terms of years and round your answer to two decimal
places.
O a. 5.23 years
b. 7.00 years
O c. 5.56 years
O d. 6.49 years
Transcribed Image Text:Today is 1 July, 2019. Siobhán has a portfolio which consists of two different types of financial instruments (henceforth referred to as instrument A and instrument B). Siobhán purchased all instruments on 1 July 2012 to create this portfolio, which is composed of 34 units of instrument A and 28 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=4.18% p.a. and a face value of $100. This bond matures at par. Its maturity date is 1 January 2022. Calculate the current duration of Siobhán's portfolio using a yield to maturity of j₂=4.52% p.a. Express your answer in terms of years and round your answer to two decimal places. O a. 5.23 years b. 7.00 years O c. 5.56 years O d. 6.49 years
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