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AP Macroeconomics Notes

3.4.3 Why the LRAS Curve Is Vertical

AP Syllabus focus: ‘The LRAS curve is vertical at full-employment output because wages and prices fully adjust in the long run.’

In the AD-AS model, long-run outcomes depend on the economy’s productive capacity, not the price level. This page explains why LRAS is drawn vertical and what that implies for real output.

Core idea: real output is fixed in the long run

Long-run adjustment of wages and prices

In the long run, nominal wages and other input prices are fully flexible. If the overall price level changes, workers and firms eventually renegotiate wages and contracts so real incentives (purchasing power and real profits) return to where markets clear.

  • If the price level rises, firms’ output prices rise at first, but:

    • workers demand higher nominal wages to maintain purchasing power

    • other input costs (rent, interest costs embedded in contracts, intermediate goods prices) adjust upward over time

  • If the price level falls:

    • nominal wages and other input prices adjust downward

    • firms’ costs fall along with revenues

Because costs and revenues adjust together in the long run, firms have no lasting reason to produce more or less solely because the price level changed.

Productive capacity determines long-run output

Long-run real output is pinned down by real factors—the quantities and productivity of resources—rather than by nominal variables like the price level.

Pasted image

This diagram highlights that LRAS is vertical at full-employment real GDP, but its position can shift when productive capacity changes. A leftward shift from YfY_f to Yf1Y_{f1} represents a decrease in potential output due to real factors (resource quantity/quality or productivity), not a change in the price level. Source

Long-Run Aggregate Supply (LRAS): The relationship between the price level and the quantity of real GDP supplied when wages and input prices are fully flexible, so output equals the economy’s full-employment (potential) level.

A vertical LRAS means the economy has a specific full-employment level of real GDP (often written as YY^*) that does not change when the price level changes.

Why “vertical” follows from full flexibility

Price-level changes become “neutral” for real GDP

When wages and prices fully adjust, a higher price level does not permanently increase real purchasing power or real profitability. In effect, the economy can experience a different nominal environment (higher or lower PP) while producing the same real quantity of output.

The intuition is that long-run equilibrium reflects:

  • Labour market clearing at the natural (full-employment) level of employment

  • Capital utilisation consistent with normal rates of return

  • Technology and productivity that determine how effectively inputs become output

These do not automatically improve just because the price level is higher.

A compact way to express this “real factors determine YY^*” idea is:

Y=f(K,L,A) Y^* = f(K, L, A)

Y Y^* = Full-employment (potential) real GDP, measured in real output units

K K = Capital stock (machines, structures), measured in real terms

L L = Labour input at full employment, measured in worker-hours

A A = Total factor productivity (technology/efficiency), index

This representation highlights why LRAS is vertical: changing PP does not directly change KK, LL at full employment, or AA.

The LRAS line: fixed quantity, varying price level

Graphically, a vertical LRAS at YY^* means:

  • the horizontal coordinate (real GDP) is fixed at full employment

  • the vertical coordinate (price level) can be higher or lower depending on aggregate demand and nominal conditions

  • long-run output remains at YY^* because wages and prices fully adjust

In AP terms, this directly matches the specification: the LRAS curve is vertical at full-employment output because wages and prices fully adjust in the long run.

Common interpretation pitfalls (and how to avoid them)

  • “Vertical means output can never change.” Output can change, but not because of the price level in the long run. A vertical LRAS specifically says: at any price level, long-run real GDP is YY^*.

  • “Higher prices automatically mean higher profits and more output forever.” Any short-lived profit increase from higher output prices is competed away as nominal wages and input costs rise too.

  • “LRAS is vertical because firms hit capacity in every industry.” The key AP reasoning is not “capacity constraints” alone; it is full wage and price flexibility restoring the economy to full-employment output.

FAQ

Not necessarily. It assumes that over time, contracts are renegotiated and agents learn from outcomes, so systematic wage/price misperceptions fade.

Imperfect information can matter temporarily, but LRAS is a long-run statement.

Long-term contracts can delay adjustment, but LRAS assumes they eventually reset.

Indexing clauses, renegotiation dates, and competition in labour/product markets help nominal terms catch up to the price level.

Many AP treatments use the classical long-run view: money is neutral and $Y^*$ is set by real factors.

Some frameworks allow longer-lasting real effects, but the AP LRAS convention is vertical due to full flexibility.

Full employment allows for normal job search and matching.

So $Y^*$ corresponds to the level of output when unemployment equals its non-zero, normal baseline rather than disappearing.

A line is a simplification: it communicates one key claim—long-run real GDP is fixed at $Y^*$ regardless of $P$.

In reality, measurement error and gradual adjustment could make the long-run relationship look less exact, but AP uses the clean vertical depiction.

Practice Questions

Question 1 (1–3 marks) Explain why the long-run aggregate supply (LRAS) curve is vertical.

  • 1 mark: States LRAS is vertical at full-employment (potential) output YY^*.

  • 1 mark: Explains that in the long run wages and prices are fully flexible.

  • 1 mark: Concludes that changes in the price level do not change real GDP in the long run.

Question 2 (4–6 marks) Using long-run reasoning, describe what happens to real output and wages if the price level rises, and explain how this supports a vertical LRAS.

  • 1 mark: Identifies that the economy’s long-run real output remains at YY^* (full-employment output).

  • 1 mark: States that the price level increase initially raises nominal revenues (recognition of nominal change).

  • 1 mark: Explains workers/firms renegotiate so nominal wages rise with the price level.

  • 1 mark: Explains input costs rise so real wages/real profits return toward prior levels.

  • 1 mark: Links restored real incentives to firms producing the same long-run quantity (YY^*).

  • 1 mark: Explicitly ties full adjustment of wages/prices to the vertical shape of LRAS.

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