Macroeconomic model reference

New Keynesian Phillips Curve Model

A forward-looking Phillips Curve derived from Calvo pricing, linking current inflation to expected future inflation and the output gap.

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New Keynesian Phillips Curve: question, structure, and use cases

A forward-looking Phillips Curve derived from Calvo pricing, linking current inflation to expected future inflation and the output gap.

How does expected future inflation and the real marginal cost channel shape current price-setting behavior?

Background

The New Keynesian Phillips Curve derives inflation from price-setting with nominal rigidity. Calvo pricing supplies the standard microfoundation: only some firms can reset prices each period.

Inflation today depends on expected future inflation and real marginal cost, often proxied by the output gap in teaching versions. Galí and Gertler's empirical work made the marginal-cost specification central to the modern debate.

The model is forward-looking. It is not the old Phillips Curve with expectations pasted on; it is a pricing equation derived from firms that set prices while looking ahead.

Composition

The discount factor weights future inflation. If firms expect future inflation, price setters who can adjust today raise prices more now.

The slope parameter kappa captures how strongly real activity or marginal cost passes into inflation. More flexible prices or stronger real rigidities change that slope.

Cost-push shocks shift inflation independently of the output gap. That is why central banks face a tradeoff after supply disturbances.

pipi
Inflation

Current-period inflation rate.

ygapy_gap
Output gap

Deviation of real output from its natural (flexibl...

piepi_e
Expected inflation

Rational expectation of next-period inflation form...

Application

Central banks use NKPC logic to interpret inflation persistence and the role of expectations. Anchored expectations flatten the near-term inflation response to shocks.

Estimating the slope is difficult. Output gaps are revised, marginal cost is hard to observe, and inflation expectations vary across households, firms, and markets.

The route is best read as the inflation block in a larger New Keynesian model, not as a standalone forecast model.

Questions That Test the Model

Q1Expected inflation rises while the output gap is zero. What happens to current inflation?
Q2Why does a cost-push shock create a policy tradeoff?
Q3How does Calvo pricing generate inflation persistence?
Q4What evidence would make real marginal cost a better predictor than the output gap?

New Keynesian Phillips Curve

Macroeconomic chart static chart preview showing NKPC, Target, Equilibria

Inflation

1.98

Output gap

0.00

Expected inflation

2.00

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