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Understanding the Phillips Curve and Inflation

May 9, 2025

Lecture Notes: The Phillips Curve and Inflation

Introduction

  • Importance: The Phillips Curve is a significant model in macroeconomics.
  • Lecture Scope: This lecture will not cover material for the upcoming quiz; focuses on understanding the Phillips Curve and its implications.

The Origin of the Phillips Curve

  • A.W. Phillips: In 1958, discovered a negative relationship between unemployment and inflation using historical data up to the 1950s.
  • Named by Paul Samuelson and Robert Solow: Labeled the 'Phillips Curve' after Phillips' empirical findings.

Understanding the Phillips Curve

  • Empirical Relationship: Negative correlation between unemployment and inflation.
  • Theory Development: Built on wage-setting and price-setting equations.
    • Wage-setting: Wages depend on expected prices, unemployment, and institutional variables.
    • Price-setting: Prices marked up over wages.

Deriving the Phillips Curve

  • From Price Level to Inflation: Transitioned from a relationship between price levels to inflation.
    • Algebra: Divided by previous period prices, took logarithms, and approximated small inflation rates.
    • Result: Inflation negatively related to unemployment; derived from price and wage dynamics.

Historical Perspective on the Phillips Curve

  • 1960s U.S. Data: Showed a negative slope; policymakers exploited the trade-off between inflation and unemployment.
  • 1970s Data Anomaly: The curve became unreliable; no clear negative relationship.
    • Reasons: Oil shocks increased costs (markup), and inflation expectations became unanchored.

Inflation Expectations and the Phillips Curve

  • Model of Expectations: Transition from constant expectations to ones influenced by recent inflation.
    • Accelerationist Phillips Curve: Focused on changes in inflation relative to unemployment.
  • Re-anchoring Expectations: By the mid-1990s, expectations were re-anchored, restoring a negative relationship.

Implications for Central Banks

  • Natural Rate of Unemployment: Key concept for evaluating labor market tightness.
    • Philips Curve Adjustment: Inflation relates to the gap between actual and natural unemployment rates.
  • Current Economic Context
    • High aggregate demand and low unemployment are driving inflation in the U.S.
    • Policies: Recession as a potential tool to control inflation.

Discussion

  • Effect of Z (Institutional Variables) on Natural Unemployment: Increases in Z require higher unemployment to maintain equilibrium.
  • Labor Force Participation: Increasing participation could help manage inflation without raising unemployment.

Conclusion

  • Future Topics: Will review material for the upcoming quiz in the next lecture.
  • Current Challenges: Central banks aim to control inflation by influencing expectations and managing unemployment rates.