Duration and Convexity [Concepts Series]

Byrne Hobart
4 min readSep 2, 2020

Want to get an explainer like this in your inbox every Wednesday morning? Sign up to Capital Gains, my weekly newsletter breaking down topics in finance, economics, and corporate strategy.

Duration is a fundamental financial concept, but it’s more part of the fixed income investor toolkit than the equity investors’. For reasons I’ll get into, duration is usually a misleading concept for equity investors, but there are a few cases where that’s changing.

Duration in bond investing refers to two different measures, which are, conveniently, measured roughly the same way:

  1. The weighted average time in the future at which a bond pays its returns — i.e. the number of years from now when you’ll realize half of the net present value of the bond, and
  2. A bond price’s sensitivity to changes in interest rates, all else being equal.

It’s intuitive that these concepts would be related: the longer in the future a given stream of cash flows is, the more sensitive its value is to interest rates.

Here’s a quick table, looking at a bond with a 4% coupon paid every six months:

The important things to pay attention to are the discount rates (at the top) and the PV/Duration numbers at the bottom. The PV number is the present value of the cash…

--

--

Byrne Hobart

I write about technology (more logos than techne) and economics. Newsletter: https://diff.substack.com/