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. (d) Based on the price in part a and part b, and the duration value in part c, calculate the current duration of Joan's portfolio. Express your answer in terms of years and round your answer to two decimal places. a. 5.25 O b. 6.38 ○ c. 6.79 O d. 5.20
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. (d) Based on the price in part a and part b, and the duration value in part c, calculate the current duration of Joan's portfolio. Express your answer in terms of years and round your answer to two decimal places. a. 5.25 O b. 6.38 ○ c. 6.79 O d. 5.20
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 5SE: What is an annuity?
Question
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.
(d) Based on the price in part a and part b, and the duration value in part c, calculate the current duration of Joan's portfolio. Express your answer in terms of years and round your answer to two decimal places.
a. 5.25
O b. 6.38
○ c. 6.79
O d. 5.20
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