Phillips Curve Calculator

What Is the Phillips Curve?

The Phillips Curve describes the historical inverse relationship between inflation and unemployment in an economy. When unemployment is low, inflation tends to rise as employers compete for workers and raise wages. When unemployment is high, inflation typically falls as demand weakens. This calculator applies a standard linear Phillips Curve model to estimate the expected inflation rate given a specific unemployment rate.

How the Calculation Works

The calculator uses the following formula:

Expected Inflation = Natural Rate of Inflation + (Unemployment Gap × Sensitivity Factor)

Where:

• Natural Rate of Inflation — the baseline inflation rate when the economy is at full employment (the NAIRU).
• Unemployment Gap — the difference between the current unemployment rate and the natural rate of unemployment.
• Sensitivity Factor — a coefficient that determines how strongly changes in unemployment affect inflation.

If the unemployment rate is below the natural rate, the gap is negative, and inflation is expected to rise above the natural rate. If unemployment is above the natural rate, inflation is expected to fall.

How to Use the Calculator

1. Enter the current unemployment rate (as a percentage).
2. Enter the natural rate of unemployment (the rate consistent with stable inflation).
3. Enter the natural rate of inflation (the baseline inflation expectation).
4. Enter the sensitivity factor (typically between 0.25 and 1.0).
5. Click Calculate to see the estimated inflation rate.

Example

Suppose the current unemployment rate is 4.5%, the natural rate of unemployment is 5.0%, the natural rate of inflation is 2.0%, and the sensitivity factor is 0.5.

Unemployment Gap = 4.5% − 5.0% = −0.5%

Expected Inflation = 2.0% + (−0.5% × 0.5) = 2.0% − 0.25% = 1.75%

In this scenario, because unemployment is below the natural rate, inflation is estimated to be slightly lower than the baseline — reflecting the model's assumption that a tight labor market pushes inflation upward.

Understanding the Results

The output is an estimated inflation rate based on the Phillips Curve relationship. This is a simplified model and should be interpreted as an approximation, not a precise forecast. Real-world inflation is influenced by many factors beyond unemployment, including supply shocks, monetary policy, and global commodity prices.

Key points to keep in mind:

• A negative unemployment gap (unemployment below natural rate) suggests upward pressure on inflation.
• A positive unemployment gap suggests downward pressure on inflation.
• The sensitivity factor determines how large the inflation response is for each percentage point of the unemployment gap.

Limitations of the Model

The standard Phillips Curve model has several important limitations:

• It assumes a stable, linear relationship that may not hold in all economic conditions.
• It does not account for supply shocks, such as oil price spikes or global disruptions.
• It ignores expectations-driven inflation, where anticipated future inflation becomes embedded in current prices.
• The natural rate of unemployment is not directly observable and must be estimated.

This calculator is intended for educational and illustrative purposes, not for policy decisions or financial forecasting.

Practical Use Cases

• Economics students exploring the relationship between unemployment and inflation.
• Analysts performing quick scenario analysis with different unemployment assumptions.
• Educators demonstrating how changes in labor market conditions affect inflation expectations.