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AP Macroeconomics Notes

3.5.2 Long-Run Equilibrium at Full Employment

AP Syllabus focus: ‘Long-run equilibrium occurs when AD and SRAS intersect on LRAS at the full-employment level of real output.’

Long-run equilibrium is the AD-AS model’s benchmark for a healthy macroeconomy: output equals sustainable capacity, and the economy has no built-in pressure for wages, input prices, or production to keep changing.

Long-Run Equilibrium in the AD-AS Model

What “long-run equilibrium” means on the graph

Long-run equilibrium: The macroeconomic situation in which aggregate demand (AD) and short-run aggregate supply (SRAS) intersect on the long-run aggregate supply (LRAS) curve, so real GDP equals full-employment output.

In the AD-AS diagram, long-run equilibrium is identified by a single point where all three curves meet:

Pasted image

Aggregate demand (AD) intersects short-run aggregate supply (AS/SRAS) at point E, determining an equilibrium price level and real GDP in the short run. The vertical Potential GDP/LRAS line marks full-employment (potential) output, which is the output level consistent with long-run capacity. Long-run equilibrium occurs when the intersection point lies on that vertical line. Source

  • The price level on the vertical axis is the equilibrium overall price level.

  • The quantity of real output (real GDP) on the horizontal axis equals the economy’s sustainable capacity.

Full-employment level of real output

Full-employment output (potential output): The level of real GDP produced when the economy’s resources (labor, capital, natural resources, entrepreneurship) are fully employed at normal rates, so output is sustainable in the long run.

Full employment does not mean “everyone has a job at all times.” It means the economy is operating at its normal, capacity-consistent level of production.

Core Condition: AD and SRAS Intersect on LRAS

A long-run equilibrium requires two simultaneous equalities:

  • Goods market equilibrium in the short run: firms are producing the amount that buyers are demanding at the current price level (the AD–SRAS intersection).

  • Consistency with long-run capacity: that intersection occurs exactly at LRAS, the vertical line at full-employment output.

This is why the syllabus phrasing is precise: long-run equilibrium is not just “where AD meets SRAS,” but where that meeting point lies on LRAS.

YLR=YFE Y_{LR} = Y_{FE}

YLR Y_{LR} = Real GDP in long-run equilibrium (real output)

YFE Y_{FE} = Full-employment (potential) real GDP (real output)

AD=SRAS=LRAS at (PLR,,YFE) AD = SRAS = LRAS \text{ at } (P_{LR},, Y_{FE})

PLR P_{LR} = Long-run equilibrium price level (index value)

What Is True When the Economy Is in Long-Run Equilibrium

Output and employment implications

When the intersection occurs on LRAS:

  • Real GDP equals potential: the economy is producing at its maximum sustainable level.

  • Factor markets are aligned with capacity: the overall use of labor and other inputs is neither unusually high nor unusually low.

  • Firms have no broad-based reason to systematically expand or cut production beyond normal because the economy is already at capacity-consistent output.

Price level implication

Long-run equilibrium includes a well-defined equilibrium price level (the vertical coordinate of the intersection). Importantly:

  • The level of prices can be higher or lower depending on where AD intersects LRAS.

  • Long-run equilibrium does not require a particular price level; it requires capacity-consistent output.

“No pressure to change” intuition

At long-run equilibrium, the economy is at a point where:

  • Buyers’ planned spending (AD) is matched by firms’ planned production (SRAS), and

  • The resulting production level is exactly what the economy can sustain with fully adjusted wages and input prices (LRAS).

If the economy is not at this point, some combination of output and pricing conditions would be inconsistent with long-run capacity; long-run equilibrium is the state where that inconsistency is absent.

How to Recognise Long-Run Equilibrium Quickly (AP Skill)

Use a checklist approach on any AD-AS graph:

  • Find the LRAS vertical line (potential output).

  • Locate where AD intersects SRAS (short-run equilibrium).

  • Verify whether that intersection lies on the LRAS line.

Pasted image

AD and SRAS intersect at a short-run equilibrium point that lies to the left of the vertical LRAS line, illustrating an economy producing below potential output. The horizontal distance to LRAS is labeled as a recessionary gap, highlighting the diagnostic step of comparing the AD–SRAS intersection to full-employment output. In long-run equilibrium, this gap would be zero because the intersection would occur on LRAS. Source

  • If yes: the economy is in long-run equilibrium at full employment.

  • If no: the economy is only in short-run equilibrium, not long-run equilibrium.

In AP graphing and explanation, the key phrase to use is: “AD and SRAS intersect on LRAS at full-employment real GDP.”

FAQ

No. Full employment is consistent with a normal amount of job-search and job-matching.

It typically includes:

  • frictional unemployment (people between jobs)

  • structural unemployment (skills/location mismatches)

Yes. If LRAS (capacity) is unchanged, different AD positions can intersect LRAS at different price levels.

Long-run equilibrium pins down output at $Y_{FE}$, not a unique price level.

It is inferred using statistical and structural methods (e.g., production-function approaches, trend GDP filters).

Because it is unobservable, estimates are revised as new data arrive.

They are related but not identical.

Potential GDP focuses on capacity-consistent output given current institutions, technology, and factor supplies; trend GDP is often a smoothed statistical measure of GDP over time.

They may use different estimates of potential output or interpret labour-market “normal” conditions differently.

Disagreements also arise from data lags, revisions, and differing views on how flexible wages and prices are.

Practice Questions

(2 marks) State the condition for long-run equilibrium in the AD-AS model.

  • 1 mark: AD intersects SRAS.

  • 1 mark: The intersection occurs on LRAS at full-employment (potential) real GDP.

(5 marks) Explain how to identify long-run equilibrium at full employment on an AD-AS diagram and state two implications for the economy.

  • 1 mark: Identify LRAS as the full-employment (potential output) line.

  • 1 mark: Identify the short-run equilibrium as the AD–SRAS intersection.

  • 1 mark: State that long-run equilibrium requires this intersection to lie on LRAS (all three curves meet).

  • 1 mark: Implication—real GDP equals YFEY_{FE} (capacity-consistent output).

  • 1 mark: Implication—there is a corresponding equilibrium price level PLRP_{LR} at that intersection.

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