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
![Figure 1.](/view/journals/foen/31/1/inline-i2374-8753-31-1-49-f01.png)
Broad Inflation and Its 10-Year Published FRBC Forecast
![Figure 2.](/view/journals/foen/31/1/inline-i2374-8753-31-1-49-f02.png)
Broad Inflation and Its 10-Year Forecast from an AR(1) Model
![Figure 3.](/view/journals/foen/31/1/inline-i2374-8753-31-1-49-f03.png)
Simulated AR(1) Time Series and Its 10-Year Forecast
![Figure 4.](/view/journals/foen/31/1/inline-i2374-8753-31-1-49-f04.png)
Broad Inflation and Its 10-Year Forecasts via Yield Spread and FRBC
![Figure 5.](/view/journals/foen/31/1/inline-i2374-8753-31-1-49-f05.png)
Time Plot of Broad & Medical CPI Inflation Rates, Years 1948-2020.
![Figure 6.](/view/journals/foen/31/1/inline-i2374-8753-31-1-49-f06.png)
Time Plot of the Medical Inflation Gap, Years 1948-2020.
![Figure 7.](/view/journals/foen/31/1/inline-i2374-8753-31-1-49-f07.png)
Time Plot of Moving Averages for the Medical Inflation Gap.
![Figure 8.](/view/journals/foen/31/1/inline-i2374-8753-31-1-49-f08.png)
MC and 2-Step Forecasts (10, 20, 30 year GAP averaging), Years 1992-2020.
![Figure 9.](/view/journals/foen/31/1/inline-i2374-8753-31-1-49-f09.png)
MC and 1-Step Forecasts (10, 20, 30 year MC averaging), Years 1992-2020.
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