Effective duration not mentioned

Hi,

How do we know that bond A has the same effective duration? I don’t see the logic here.

Thanks in advance!

Q from question practice pack CFA website

There is information missing. I googled part of the question and this shows up on the internet

Are you sure? I remember this information from another quesiton.

Duration is measured in years.
Bond A is non-callable 1-year

Macaulay Duration = the weighted average number of years to maturity of cash flows.
What is the Macaulay Duration of a Bond A?
Answer: if there’s only 1 coupon (at maturity) it will be 1 year;
if there are 2 coupons a year, it will be less than 1

How is Modified Duration related to Macaulay Duration?
Modified Duration = Macaulay Duration / (1 + YTM/n)
YTM = yield to maturity
n = number of coupon periods per year.
The Modified Duration of Bond A will be less than 1

Bond A is a non-callable 1 year bond, so its effective duration will be the same as its modified duration.
The Effective Duration of Bond A will be less than 1.

How can a 1 year non-callable bond have an effective duration of 7.48621?

My guess would be that somehow parts of 2 different questions have been mixed together.
.

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Thank you. I might ask the support then to review this question :slight_smile:

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