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What is the short-run trade-off between unemployment and inflation, and why does it vanish in the long run?

Topic 5.2 The Phillips Curve: explain the short-run trade-off between inflation and unemployment, the vertical long-run Phillips curve at the natural rate, and how the curves shift.

A focused answer to AP Macroeconomics Topic 5.2, covering the short-run Phillips curve and its trade-off, the vertical long-run Phillips curve at the natural rate of unemployment, the link to the AD-AS model, and how supply shocks and expectations shift the curve, with a worked graphing question.

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  1. What this topic is asking
  2. The short-run Phillips curve
  3. The long-run Phillips curve
  4. What shifts the curves
  5. Try this

What this topic is asking

Topic 5.2 is the Phillips curve, which shows the relationship between inflation and unemployment. The College Board wants you to explain the short-run trade-off, the vertical long-run Phillips curve at the natural rate, how the two link to the AD-AS model, and what shifts the curves. The Phillips curve mirrors AD-AS in inflation-unemployment space.

The short-run Phillips curve

The SRPC is just the AD-AS model in different axes:

The long-run Phillips curve

So expansionary policy can push unemployment below the natural rate only temporarily; in the long run unemployment returns to the natural rate, leaving only higher inflation.

What shifts the curves

Try this

Q1. Why is the long-run Phillips curve vertical? [2 points]

  • Cue. In the long run unemployment returns to the natural rate whatever the inflation rate, so there is no permanent trade-off.

Q2. A negative supply shock occurs. Which way does the short-run Phillips curve shift, and what happens to inflation and unemployment? [2 points]

  • Cue. The SRPC shifts right (outward); inflation and unemployment both rise (stagflation).

Exam-style practice questions

Practice questions written in the style of College Board exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

AP 2019 (style)1 marksMultiple choice. The long-run Phillips curve is vertical at the natural rate of unemployment because, in the long run, (A) inflation and unemployment always rise together. (B) there is no trade-off; unemployment returns to its natural rate regardless of the inflation rate. (C) the central bank controls unemployment. (D) wages are sticky. (E) inflation is always zero.
Show worked answer →

The answer is (B). In the long run the economy returns to full employment (the natural rate of unemployment) whatever the inflation rate, so there is no permanent trade-off. The long-run Phillips curve is therefore vertical at the natural rate, the mirror image of the vertical LRAS.

(A) is false. (C) overstates central bank power over real variables. (D) explains the short-run curve, not the long run. (E) is false. The no-trade-off result gives (B).

AP 2021 (style)5 marksFree response. (a) Draw a correctly labelled graph of the short-run and long-run Phillips curves, marking the natural rate of unemployment. (b) Expansionary policy moves the economy up the short-run Phillips curve. Show this and state what happens to inflation and unemployment in the short run. (c) State where the economy ends up in the long run. (d) A negative supply shock occurs. Show its effect on the short-run Phillips curve. (e) State what happens to inflation and unemployment after the supply shock.
Show worked answer →

A 5-point graphing FRQ.

(a) Graph (1 point): vertical axis inflation rate, horizontal axis unemployment rate; downward-sloping short-run Phillips curve (SRPC) and vertical long-run Phillips curve (LRPC) at the natural rate unu_n.

(b) Movement (1 point): show a move up and to the left along the SRPC; inflation rises and unemployment falls in the short run.

(c) Long run (1 point): the economy returns to the natural rate of unemployment unu_n (on the LRPC), but at a higher inflation rate.

(d) Shift (1 point): a negative supply shock shifts the SRPC right (outward), worsening the trade-off.

(e) Result (1 point): both inflation and unemployment rise (stagflation).

Markers reward the vertical LRPC at unu_n, the up-left short-run movement, the long-run return to unu_n, and the rightward SRPC shift from a supply shock.

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