Phillips curve in US: New insights in time and frequency

The paper explores the co-movement between unemployment and inflation rates in US by using a battery of wavelet tools. The dataset covers the period 1945Q1–2017Q4, having quarterly frequency.The main findings reveal a not stable Phillips curve in US, depending on economic context, seasonality and time-persistence. The Phillips curve is not validated during economic turbulences, while it works over expansion economic periods. Even so, the trade-off between unemployment and inflation is unstable under seasonal growth components and time-persistence, running from short- to medium-term. No link between unemployment and inflation is found in the long-term.