How curvy is the Phillips curve?

Staff working papers set out research in progress by our staff, with the aim of encouraging comments and debate.
Published on 10 January 2025

Staff Working Paper No. 1,107

By Philip Bunn, Lena Anayi, Emily Barnes, Nicholas Bloom, Aaron Jalca, Paul Mizen, Gregory Thwaites and Ivan Yotzov

Macro evidence suggests a convex relationship between inflation and slack, but causal identification is challenging. Using large firm-panel surveys in the UK and US, we show that price responses to demand shocks are convex at the firm level, across hypothetical survey shocks, realised sales shocks, and Covid-induced demand shocks. Convexity is strongest when firms and industries face higher inflation, fades beyond two years, and applies to cost shocks. We rationalise these findings with a menu-cost model in which trend inflation moves firms closer to price-increase thresholds. We estimate that this non-linearity explains about one quarter of the 2022 inflation overshoot.

This version was updated in July 2026.

How curvy is the Phillips curve?