We derive a traditional Phillips curve under the assumption that firms optimize their prices in the context where a fraction of their output is contracted on previous prices, and where they face potential losses and gains from such contracts. Our derivation delivers an augmented exact...

We derive the backward-looking Keynesian wage-price spiral from micro-foundations. The optimal price Phillips curve features one lag of price inflation, the lag of the labour share, excess demand pressure, speed-limit effects and supply shocks. The wage Phillips curve features current and lagged...

We derive the backward-looking Keynesian wage-price spiral from micro-foundations. The optimal price Phillips curve features one lag of price inflation, the lag of the labour share, excess demand pressure, speed-limit effects and supply shocks. The wage Phillips curve features current and lagged...