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Basic Question 8 of 24

What is the relationship between effective duration and modified duration for bonds with embedded options?

I. Effective duration will differ from modified duration because of the changing cash flows.
II. Effective duration will be shorter than modified duration when a bond may be called.
III. Effective duration is affected by changing cash flows while modified duration assumes that the cash flows do not change.

User Contributed Comments 2

User Comment
01827 why II? I dont understand how effective duration prices embedded options beyond adjusting cash flows to change yield rates...
dbedford Correct me if I'm wrong but I would think that Effective = changing CF with constant rate and Modified = constant CF with changing rates; therefore, Effective will be be shorter than Modified when a bond is called because a called bond has a shorter duration than the modified's fixed duration.
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I am using your study notes and I know of at least 5 other friends of mine who used it and passed the exam last Dec. Keep up your great work!
Barnes

Barnes

Learning Outcome Statements

explain why effective duration and effective convexity are the most appropriate measures of interest rate risk for bonds with embedded options

calculate the percentage price change of a bond for a specified change in benchmark yield, given the bond's effective duration and convexity

CFA® 2025 Level I Curriculum, Volume 4, Module 13.