Phillips Curve
Calculate the Phillips Curve relationship between unemployment and inflation rates using the New Classical model. Analyze trade-offs with breakdown charts and interactive tools.
About This Calculator
The Phillips Curve Calculator helps economists, students, and policymakers analyze the relationship between unemployment and inflation using the New Classical Phillips Curve model. This economic tool computes the inflation rate based on expected inflation, the current unemployment rate, the natural rate of unemployment (NAIRU), the sensitivity coefficient, and supply shocks.
The calculator uses the expectations-augmented Phillips Curve formula: π = πe - β(u - un) + ε. The unemployment gap (u - un) captures cyclical unemployment; when actual unemployment exceeds the natural rate, inflation falls, and vice versa. The sensitivity coefficient β determines how strongly inflation responds to the unemployment gap. Supply shocks ε represent unexpected events like oil price changes or productivity shifts that directly affect inflation independent of the labor market.
The chart toggles between two views: a Breakdown bar chart showing each component's contribution to inflation, and a Phillips Curve line graph illustrating the inverse relationship between unemployment and inflation across different unemployment rates.
Regional Notes
United States: The Federal Reserve targets a 2% inflation rate and estimates the natural rate of unemployment (NAIRU) around 4.0-4.5%. The Phillips Curve guides interest rate decisions in the Fed's dual mandate of price stability and maximum employment. Expected inflation is often anchored by the Fed's 2% target.
United Kingdom: The Bank of England targets 2% CPI inflation and monitors the unemployment gap to set monetary policy. UK estimates of NAIRU range from 4.0-5.0%. Supply shocks like Brexit and energy prices have significantly affected UK inflation dynamics in recent years.
India: The Reserve Bank of India (RBI) targets 4% CPI inflation with a 2-6% tolerance band. India's NAIRU is estimated at 5.0-6.0% due to structural labor market characteristics. Supply shocks, particularly food and fuel prices, play a larger role in Indian inflation dynamics compared to advanced economies.
Frequently Asked Questions
What is the Phillips Curve?
The Phillips Curve is an economic concept that illustrates the inverse relationship between inflation and unemployment in the short run. It shows that when unemployment is low, inflation tends to rise, and when unemployment is high, inflation tends to fall. The relationship was first described by economist A. William Phillips in 1958 based on UK wage data.
How does the Phillips Curve calculator work?
This calculator uses the New Classical Phillips Curve formula: π = πe - β(u - un) + ε. Enter expected inflation, the current unemployment rate, the natural rate of unemployment (NAIRU), the sensitivity coefficient, and any supply shocks to compute the resulting inflation rate. The results show each component's contribution with interactive charts.
What is the natural rate of unemployment (NAIRU)?
The natural rate of unemployment, also called NAIRU (Non-Accelerating Inflation Rate of Unemployment), is the level of unemployment at which inflation remains stable. At this rate, there is no upward or downward pressure on inflation. Typical estimates range from 3.5% to 5.5% depending on the country and economic conditions.
What is the difference between short-run and long-run Phillips Curve?
In the short run, the Phillips Curve shows a trade-off between inflation and unemployment, so policymakers can reduce unemployment at the cost of higher inflation. In the long run, the curve is vertical at the natural rate of unemployment, meaning there is no permanent trade-off, and inflation expectations adjust to nullify any short-term gains.
What causes a supply shock on the Phillips Curve?
Supply shocks, such as oil price spikes, natural disasters, or technological breakthroughs, shift the Phillips Curve. A negative supply shock (e.g., rising oil prices) increases both inflation and unemployment simultaneously, a condition known as stagflation. Positive supply shocks (e.g., productivity improvements) lower both inflation and unemployment.
How is the Phillips Curve used in monetary policy?
Central banks like the Federal Reserve, Bank of England, and Reserve Bank of India use the Phillips Curve framework to set interest rates. When inflation is above target and unemployment is low, central banks raise rates to cool the economy. When inflation is below target and unemployment is high, they lower rates to stimulate growth.
Is the Phillips Curve still relevant today?
Yes, the Phillips Curve remains a key tool in modern macroeconomics, though its reliability has been debated. During the 1970s, stagflation challenged the original model, leading to the expectations-augmented version. Today, central banks in the US, UK, and India still reference the Phillips Curve for forecasting inflation and guiding policy decisions.
What is the sensitivity coefficient (β) in the Phillips Curve?
The sensitivity coefficient beta measures how strongly changes in the unemployment gap affect inflation. A higher beta means inflation responds more sharply to changes in unemployment. Typical values range from 0.3 to 0.8 in empirical studies. A beta of 0.5 means that a 1 percentage point increase in unemployment above the natural rate reduces inflation by 0.5 percentage points.