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Okun’s Law: The rule that works, until it doesn’t

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Economists love laws. Reality loves exceptions. Okun’s Law sits awkwardly in between: famous enough to earn a capital letter, modest enough to come with an implied shrug. It links the labour market to the business cycle by stating, in essence, that when output disappoints, unemployment tends to rise; when output accelerates, joblessness tends to fall. Arthur Okun’s original 1960s rule of thumb translated a painful labour-market statistic into a national-income cost, suggesting that a one-percentage-point rise in unemployment is associated with output being roughly two percentage points below potential (Okun, 1962). The appeal is obvious: it offers a quick conversion rate between people without work and production not produced.

This is the opening post in a short series on that relationship. First comes intuition (this post). Next comes methodology: how economists actually try to estimate these relationships without fooling themselves. Then comes the empirical test bed: we will verify Okun’s Law using data from the former Yugoslavia countries, and see where the law behaves like a law, where it behaves like a rumour, and where it behaves like a politician’s promise.

Okun’s Law is discussed in every major macroeconomics textbook for a reason (Mankiw, 2021; Blanchard & Johnson, 2012; Dornbusch, Fisher & Startz, 2010; Abel, Bernanke & Croushore, 2013). It is simple enough to be taught and useful enough to be used. But it is not a law of nature. The estimated relationship varies across countries and time, and it can be disturbed by productivity changes, labour-force participation shifts, hours worked, and the institutional “plumbing” of labour markets. Prachowny (1993) pushes back on the original formulation using a production-function perspective, showing that the GDP–unemployment link is mediated by more than just headcounts. Gordon (2010) highlights how productivity-driven recoveries can produce “jobless” episodes in which GDP rises without a proportional improvement in employment. In other words: even when the economy expands, the labour market can refuse to clap on cue.

Okun’s Law is best read as a disciplined way of thinking about a messy reality. And messy reality is precisely what makes it worth studying.

1. Okun’s Law as a rule of thumb, and why it refuses to behave

At its core, Okun’s Law reflects a simple idea. When a country produces less than it could, some labour resources sit idle. When production ramps up, firms need more workers (or more worker-hours), and unemployment tends to fall. The relationship feels intuitive because it translates a high-level macro outcome, GDP, into an everyday outcome, jobs. It also works in the opposite direction as a narrative: when unemployment rises, it signals that the economy is not using its capacity, and output growth is likely weak.

The difficulty is that neither side of the relationship is as straightforward as it looks. Output can rise because more people work, because each worker produces more, because hours per worker increase, or because capital deepening and technology do the heavy lifting. Unemployment can fall because jobs are created, because people exit the labour force, because hours are cut instead of workers being fired, or because migration and informality absorb shocks. A stable relationship between GDP and the unemployment rate would require a stable relationship between output and labour input, and a stable relationship between labour input and measured unemployment. Economies are not that cooperative.

Empirically, Okun’s Law remains surprisingly resilient, up to a point. Ball, Leigh & Loungani (2017), looking across decades and multiple countries, find that an Okun-type relationship remains strong, but not constant: the coefficient changes with country features and over time. Knotek (2007) shows robustness across specifications but also sensitivity to business cycles, productivity shocks, and institutions. Sögner & Stiassny (2002) find instability and structural breaks, especially in recessions and periods of institutional change. That combination, often useful, frequently unstable, is the reason Okun’s Law continues to be cited, re-estimated, and argued over.

One more complication: causality. The standard textbook story runs from output to unemployment. Output rises; labour demand rises; unemployment falls. But the reverse channel is plausible too. High unemployment reduces incomes, weakens aggregate demand, lowers sales, and can dampen growth. The relationship is therefore not just a “GDP causes jobs” tale; it can be a feedback loop in which labour-market weakness becomes part of the growth problem rather than merely a symptom of it.

2. Two ways to tell the story: Changes and gaps

Okun’s Law is typically written in two families of models. They sound technical. Their intuition is not.

The first is the difference model, which focuses on changes. Instead of asking whether the level of output is “high” or “low”, it asks whether output growth is strengthening or weakening and whether unemployment is rising or falling. The underlying intuition is short-run and cyclical: when growth accelerates, unemployment tends to drop; when growth slows, unemployment tends to increase. It is the economist’s version of watching the speedometer rather than the odometer.

A simple single-country version can be written as:

 UR_t - UR_{t-1} = \alpha + \beta,(GDP_t - GDP_{t-1}) + \varepsilon_t

Here unemployment changes are linked to GDP growth (often using log GDP). The slope coefficient, (\beta), is the “Okun coefficient” in this setting: it tells you how much unemployment tends to move when output growth changes. In practice, the sign is typically negative in this formulation: faster growth is associated with falling unemployment, and slower growth with rising unemployment.

The second is the gap model, which focuses on slack. Instead of looking at changes, it looks at deviations from “normal”. Output is compared to potential output, and unemployment is compared to the natural rate (often linked to the NAIRU concept). The output gap is the difference between actual and potential GDP; the unemployment gap is the difference between actual unemployment and its “equilibrium” rate. When output is above potential, positive slack on the activity side, unemployment is typically below its natural rate; when output is below potential, unemployment tends to be above it. Formal versions exist and mirror the logic above, but expressed in terms of gaps rather than changes.

The distinction matters because these are not merely two ways of writing the same thought; they imply different emphases. The difference model is a “what just happened?” story. The gap model is a “where are we relative to sustainable capacity?” story. The first is often used for near-term dynamics. The second appeals to policymakers who care about overheating, slack, and the medium-term position of the economy.

And because they emphasise different objects, growth changes versus estimated gaps, they inherit different strengths, and different vulnerabilities.

3. What the coefficient is really saying

Okun’s coefficient is sometimes treated like a universal constant, as if the labour market had an exchange rate: so many jobs per percentage point of growth. The study’s repeated warning is that this is a temptation worth resisting.

In the difference model, the coefficient is a short-run mapping from growth to unemployment changes. A larger absolute value means unemployment responds strongly to growth accelerations and slowdowns. A smaller absolute value means growth can move without much visible movement in the unemployment rate, at least in the short run. That difference changes the interpretation of an expansion. In a high-responsiveness setting, a growth disappointment is quickly felt in labour-market statistics. In a low-responsiveness setting, growth may be weak while unemployment barely budges, because adjustment happens through hours, participation, informality, migration, or productivity rather than through the measured unemployment rate.

In the gap model, the coefficient links cyclical slack to cyclical unemployment. It is therefore closer to a statement about how tightly the economy’s utilisation of labour resources moves with its utilisation of productive capacity. But this comes with a catch: to speak of “gaps” is to speak of things we do not observe directly. Potential output is not written on the side of the national accounts. The natural rate of unemployment is not printed on the unemployment register. These are estimated constructs, useful, but uncertain.

That uncertainty is not a technical footnote. It shapes what the coefficient appears to be. If potential output is estimated in a way that absorbs some cyclical movements into the trend, the measured output gap shrinks, and the relationship with unemployment gaps can look weaker. If the natural rate is estimated as shifting over time, some movements in actual unemployment are reclassified as structural rather than cyclical, again changing the measured gap and the implied sensitivity.

This is why cross-country work often finds that the coefficient varies with institutions and economic structure. Lee (2000) finds Okun’s Law in OECD countries but highlights variation connected to structural features, and notes that the gap version can perform better for identifying long-run trends. Cazes, Verick & Al Hussami (2013) use Okun’s Law to interpret divergent unemployment responses around the 2008 crisis, emphasising labour-market flexibility, institutional setups, and the scale of stimulus as factors that modify the relationship. The coefficient is therefore not merely a number; it is a compact summary of how an economy adjusts to shocks.

4. Strengths, weaknesses, and the danger of false precision

The difference model has the charm of not pretending to know too much. It is simple: relate changes in unemployment to changes in output. That simplicity makes it relatively easy to estimate and interpret. It also helps remove long-term trends that might obscure the short-run co-movement, including the slow drift in productivity or demographics. By focusing on first differences, it tries to isolate the cyclical link that Okun had in mind.

Its weakness is precisely what its simplicity excludes. In the real world, unemployment and output are influenced by other variables, monetary policy, inflation dynamics, shifts in demand and supply, institutional reforms, that can create omitted-variable bias if ignored. The model is also sensitive to short-term fluctuations and volatility. In calm periods, it may look clean. In turbulent periods, it can look like a relationship drawn with a shaky hand: a recession or structural break can make the coefficient appear unstable, because the economy’s adjustment mechanism is changing in real time.

The gap model promises something more ambitious: an explicit focus on slack. If you care about whether the economy is overheating or underperforming relative to its sustainable capacity, the gap language is exactly what you want. It can be more suitable for long-term analysis because it ties unemployment dynamics to output relative to potential rather than to raw growth changes. This framing also aligns naturally with policy discussions of the output gap and the unemployment gap, terms that sit comfortably in central-bank speeches.

But the price of that comfort is estimation risk. The gap model requires potential output and the natural rate of unemployment to be estimated, and those estimates are inherently uncertain. There are several ways to do this. Potential output can be estimated using production-function approaches that combine labour, capital and productivity (OECD, 2001; Denis et al., 2006). It can be extracted statistically using the HP filter (Hodrick & Prescott, 1997), with related contributions and critiques about cyclical filtering (Baxter & King, 1999). It can be decomposed into permanent and transitory components using Beveridge–Nelson methods (Beveridge & Nelson, 1981; Morley, Nelson & Zivot, 2003). It can be modelled using unobserved components and filtering approaches in the tradition of Harvey (1989), including Kalman and Bayesian methods as in Planas, Rossi & Fiorentini (2008). Each approach has a logic, and each can yield different “gaps”.

The same is true on the labour-market side. The natural rate can be inferred from inflation-unemployment dynamics in the spirit of Phillips-curve estimation (Staiger, Stock & Watson, 1997; Ball & Mankiw, 2002). It can be grounded in structural search-and-matching frameworks (Mortensen & Pissarides, 1994; Pissarides, 2000). It can be extracted as an unobserved component using filters (Harvey, 1989; Laubach, 2001; Apel & Jansson, 1999). Or it can be related to labour-market indicators and institutions (Elmeskov, 1993; Nickell, Nunziata & Ochel, 2005). Again: multiple lenses, multiple estimates, multiple implied gaps.

For this series, it matters that later empirical work will rely mainly on the HP filter, precisely because it is widely used and comparatively simple. For this introductory post, the key point is smaller: gap-based models are appealing, but they smuggle in judgement through measurement choices. The danger is false precision, reporting a tidy coefficient without acknowledging the uncertainty in the objects it relies upon.

5. Why “verification” is trickier than it sounds

If Okun’s Law were a physical law, it would hold whether economists liked it or not. But it is an empirical regularity built from economic behaviour, institutional structure, and measurement. That makes “verification” less like checking gravity and more like judging a habit: present most of the time, absent in certain moods, altered by life events.

One challenge is instability over time. Structural reforms can change how quickly firms adjust employment. Productivity shocks can alter the mapping from output to labour demand. Recessions can produce non-linearities in hiring and firing. Sögner & Stiassny (2002) highlight instability and breaks, especially around recessions and institutional change. Knotek (2007) emphasises sensitivity to business cycles and shocks. Even Ball, Leigh & Loungani (2017), who find a strong relationship across decades, treat the coefficient as varying rather than fixed.

Another challenge is asymmetry. The document notes patterns in which unemployment rises quickly in recessions but falls slowly in recoveries, a flattening of the relationship on the way up, and a stickiness on the way down. In the difference model, this can appear as a smaller absolute coefficient in expansions, or as parameter instability across different windows. In plain terms: bad news travels fast in labour markets; good news sometimes arrives late.

A third challenge is what unemployment measures, and what it misses. Unemployment is not the same as slack. People can be out of work but not counted as unemployed if they are discouraged or inactive. Adjustment can occur through hours per worker rather than headcount. Informal work can absorb shocks. Disability and inactivity can rise. Emigration can reduce measured unemployment without domestic job creation. These margins weaken the link between GDP changes and the unemployment rate, not because the economy is not adjusting, but because it is adjusting elsewhere.

A fourth challenge, one we will keep brief here, is that gap models depend on estimated unobservables. Potential output and the natural rate are not observed, and different estimation methods imply different gaps. The HP filter, for instance, is widely used but is sensitive to sample length and parameter choices and is criticised for endpoint problems. Other methods emphasise different decompositions and uncertainties. In gap models, then, instability can reflect genuine changes in cyclical sensitivity, but also shifts in measured potential output and the natural rate. A productivity trend change can alter potential output; a shift in matching efficiency can alter equilibrium unemployment. Both can change gaps mechanically even if observed GDP and unemployment look similar.

Finally, there is the causality issue again. If growth affects unemployment and unemployment affects growth, then a simple one-direction story can miss feedback effects. High unemployment can reduce income and demand, dampening future output; prolonged unemployment can worsen skills and reduce employability, changing the supply side of the economy and the path of potential output. The relationship is therefore not just a contemporaneous correlation; it can be part of a dynamic, interdependent system.

All of this explains why “verifying” Okun’s Law is not just about estimating a slope. It is about asking: in this country, in this period, with this labour-market structure and these measurement choices, what does output growth imply for unemployment, and what does unemployment imply for output?

6. When the relationship breaks, and why that matters now

The document offers a pragmatic way to think about “breaks” in Okun’s Law: they occur because GDP growth (or the output gap) is not a sufficient statistic for labour demand, and unemployment is not a sufficient statistic for labour-market slack. Three broad considerations follow from that premise, and they matter differently depending on whether one is working with changes or with gaps.

First, labour-market frictions and composition effects matter. Hiring is not instantaneous; matching is imperfect; skills can become misaligned with vacancies. Recoveries can be constrained by mismatch, recruiting frictions, and the slow rebuilding of job matches. In such settings, output can expand while unemployment falls only modestly, especially after a shock that disrupts matching efficiency. Structural models in the Mortensen–Pissarides tradition highlight how job creation, destruction, and matching frictions depend on institutions and technology, and how equilibrium unemployment can shift with policy and structural change (Mortensen & Pissarides, 1994; Pissarides, 2000). When matching efficiency changes, the same output improvement can generate very different labour-market outcomes.

Second, adjustment can occur through margins other than unemployment. Participation shifts can hide slack. Discouraged workers can exit the labour force. Hours per worker can rise instead of headcount. Informal work can substitute for formal employment. Migration can change labour supply. These channels can all weaken the visible relationship between output and unemployment. The economy adjusts; the unemployment rate does not fully record it. This is one reason the relationship can look “broken” even when firms are responding in plausible ways.

Third, technological change and diffusion can reshape the mapping from output to labour demand and introduce lags. Gordon (2010) points to jobless recoveries associated with productivity innovations. More broadly, a task-based perspective makes clear how automation can displace labour from some tasks while raising productivity (Autor, 2013). Acemoglu and Restrepo (2020) provide evidence of negative local employment effects of industrial robots in the United States, illustrating a displacement channel that can weaken the link between output and unemployment. In difference-model language, output growth driven by automation can coincide with a smaller fall in unemployment: the coefficient flattens. In gap-model language, automation can raise potential output by boosting trend productivity, shrinking the measured output gap even if actual output rises, which can make the gap relationship appear weaker.

The study also emphasises that these technology channels are not only about destruction. Adoption can transform job content, shifting labour demand toward new roles, maintenance, data, supervisory tasks, rather than simply reducing headcount. And diffusion can be slow. That matters because it creates timing mismatches: productivity gains can arrive before labour-market adjustments, or labour reallocation can lag behind output changes. The result is that Okun’s relationship can appear unstable precisely in periods when the economy is changing most.

These mechanisms are not academic curiosities. They are the concrete reasons why a coefficient estimated in one decade may fail to describe the next. They also explain why debates about whether “growth is working” often turn into arguments about what kind of growth it is, how labour markets match workers to jobs, and whether unemployment statistics are capturing the true slack.

7. What comes next in this series

Okun’s Law endures because it is both useful and flawed: useful enough to guide intuition, flawed enough to punish complacency. The difference model offers a straightforward short-run relationship between growth changes and unemployment changes. The gap model offers a policy-friendly framing around slack and sustainability. Both can be informative. Both can mislead if treated as mechanical.

Next comes the methodology post, where we will step away from storytelling and into the craft: how to estimate these relationships responsibly, how to think about instability, and how to interpret coefficients without mistaking them for constants of nature. After that, we turn to the real test: an empirical verification of Okun’s Law using data from the former Yugoslavia countries, where economic transitions, institutional shifts, and structural change provide a rich setting to see whether Okun’s “law” behaves like a law, or like a rule of thumb that occasionally forgets its own rules.

If the point of economics is to reduce the world to a few relationships, Okun’s Law is a reminder that the world still gets a vote.

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Director of Wellington based My Statistical Consultant Ltd company. Retired Associate Professor in Statistics. Has a PhD in Statistics and over 45 years experience as a university professor, international researcher and government consultant.