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Okun's Law Calculator

Calculate the relationship between unemployment and GDP gap using Okun's Law

Calculate Using Okun's Law

Labor Market Data (to calculate Output Gap)

%

Current actual unemployment rate

%

Long-run equilibrium unemployment rate

Default: -0.45 for US. Typically ranges from -0.15 to -0.85

Okun's Law Results

0.00%
Output Gap (Ỹ)
Economy is near equilibrium
0.00%
Implied Actual GDP Growth
0.00%
Unemployment Gap

Okun's Law Formula: (U - U*) = β × (Y - Y*) or Ỹ = (U - U*) / β

Interpretation: Output and unemployment are close to their natural levels

Coefficient Used: -0.45 (negative values indicate inverse relationship)

Economic Cycle Analysis

Example: US Economic Analysis

Scenario: Post-Recession Recovery

Unemployment Rate: 8.5%

Natural Unemployment Rate: 5.5%

Okun Coefficient: -0.45 (US historical average)

Output Gap Calculation

Output Gap = (U - U*) / β

Output Gap = (8.5% - 5.5%) / (-0.45)

Output Gap = 3.0% / (-0.45)

Output Gap = -6.67%

This indicates GDP is 6.67% below its potential, suggesting significant economic slack.

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Okun Coefficients by Country

United States-0.45
Spain-0.85
Germany-0.30
Japan-0.15
United Kingdom-0.40

Higher absolute values indicate greater sensitivity of unemployment to output changes

Key Economic Relationships

Negative relationship between unemployment and GDP gap

Higher unemployment indicates lower economic output

Coefficient varies by country's labor market flexibility

Useful for economic forecasting and policy analysis

Incorporates labor hoarding and workforce participation effects

Understanding Okun's Law

What is Okun's Law?

Okun's Law describes the empirical relationship between unemployment and economic output (GDP). Discovered by economist Arthur Okun in the 1960s, it shows that for every 1% increase in unemployment above its natural rate, GDP falls by approximately 2-3% below its potential level.

Why is it Important?

  • Economic forecasting and policy planning
  • Assessing the cost of unemployment in economic terms
  • Understanding business cycle dynamics
  • Guiding monetary and fiscal policy decisions

Mathematical Formulation

(U - U*) = β × (Y - Y*)

  • U: Actual unemployment rate
  • U*: Natural unemployment rate
  • Y: Actual GDP growth
  • Y*: Potential GDP growth
  • β: Okun coefficient (typically negative)

Alternative Form

Output Gap = (U - U*) / β

This form directly calculates how much GDP deviates from its potential based on unemployment gaps.

Economic Factors Behind Okun's Law

Labor Hoarding
Firms retain workers during downturns
Reduces one-to-one unemployment-output relationship
Workforce Participation
People enter/exit labor force
Affects measured unemployment rates
Productivity Changes
Output per worker varies with cycles
Modifies unemployment-GDP relationship
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