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Segmented Inflation Dynamics (SID): Identifying Trend Inflation from the Price Index

Author

Listed:
  • André Binette
  • Colleen Smith

Abstract

This note presents Segmented Inflation Dynamics (SID), a data-driven tool for assessing trend inflation. SID uses time-series segmentation to divide the price index into contiguous segments with stable inflation rates. The segmentation breaks are identified from the data. The slope of each segment provides a well-defined estimate of trend inflation that is stable but responsive to persistent shifts. Using Canadian data from 1992 to 2025, the note describes the resulting inflation segments, tests the robustness of the method and assesses its real-time properties. Results show that SID offers a stable, interpretable measure of trend inflation, with limited sensitivity to short-term volatility and quick adjustment to shifts in inflation dynamics. Based on data through December 2025, SID indicates that Canada’s trend inflation has been near 2 percent since early 2024.

Suggested Citation

  • André Binette & Colleen Smith, 2026. "Segmented Inflation Dynamics (SID): Identifying Trend Inflation from the Price Index," Staff Analytical Papers 2026-43, Bank of Canada.
  • Handle: RePEc:bca:bocsap:26-43
    DOI: 10.34989/sap-2026-43
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    JEL classification:

    • C - Mathematical and Quantitative Methods
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E - Macroeconomics and Monetary Economics
    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E5 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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