First, it is known that two bonds have the same redemption value and coupon rate and are priced at the same yield rate. The first bond has a tenor of 4 years, while the second bond has a tenor of 10 years. The market yield rate then falls by 1% such that the prices of the first and second bonds change by D1% and D₂%, respectively, from their initial prices. Determine the relationship between D1 and D₂ Notes: |x| is the absolute value of x. a. D1 and D2 have negative signs and |D1|>|D2|. b. D1 and D2 have a positive sign and |D1|>|D2|. c. D1 and D2 have positive signs and |D1|<|D2|. d. D1 and D2 have different signs and |D1|>|D2|. e. D1 and D2 have different signs and |D1|<|D2|

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
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First, it is known that two bonds have the same redemption value and coupon rate and are priced at the same yield rate. The first bond has a tenor of 4 years, while the second bond has a tenor of 10 years. The market yield rate then falls by 1% such that the prices of the first and second bonds change by D1% and D₂%, respectively, from their initial prices. Determine the relationship between D1 and D₂ Notes: |x| is the absolute value of x.

a. D1 and D2 have negative signs and |D1|>|D2|.
b. D1 and D2 have a positive sign and |D1|>|D2|.
c. D1 and D2 have positive signs and |D1|<|D2|.
d. D1 and D2 have different signs and |D1|>|D2|.
e. D1 and D2 have different signs and |D1|<|D2|

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