Two-Step Medical Inflation Forecasts: Econometric Performance and Related Issues
This paper examines medical inflation forecasting based on a two-step method proposed by Gilbert (2019), whereby the medical inflation rate is forecast via the sum of two terms: a broad inflation published forecast and a historical average of the inflation gap—this being the difference between medical inflation and broad inflation. In a simple forecasting experiment, the two-step method compares favorably to the one-step method of forecasting medical inflation based on its past values alone. Stationarity tests applied to the inflation gap mostly support stationarity, with a possible historical break. The econometric results generally support the use of the two-step method, with a limited historical window for inflation gap averaging, consistent with Gilbert (2019).Abstract

Broad Inflation and Its 10-Year Published FRBC Forecast

Broad Inflation and Its 10-Year Forecast from an AR(1) Model

Simulated AR(1) Time Series and Its 10-Year Forecast

Broad Inflation and Its 10-Year Forecasts via Yield Spread and FRBC

Time Plot of Broad & Medical CPI Inflation Rates, Years 1948-2020.

Time Plot of the Medical Inflation Gap, Years 1948-2020.

Time Plot of Moving Averages for the Medical Inflation Gap.

MC and 2-Step Forecasts (10, 20, 30 year GAP averaging), Years 1992-2020.

MC and 1-Step Forecasts (10, 20, 30 year MC averaging), Years 1992-2020.
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