What it means
Central banks can always stop inflation by crushing demand. The sacrifice ratio prices that cure: the percentage of a year's output lost for each percentage point of inflation wrung out.
The concept rose with the great disinflations: when the Fed crushed 1970s inflation, unemployment soared, and economists began measuring what the victory cost in lost production. The Federal Reserve's own research on sacrifice ratios surveys the estimates: typical figures run from about one to five percent of annual output per inflation point, varying by country, era, and method.
The arithmetic reads off the Phillips curve history: cumulate the output gaps during a disinflation, divide by the inflation decline achieved, and the quotient is the episode's sacrifice ratio. Credibility is the ratio's enemy: when people believe the central bank, expectations adjust quickly and disinflation comes cheaper, which is why institutions guard their inflation-fighting reputations like capital.
Cold turkey versus gradualism is the policy debate the ratio frames: fast disinflations cost more per year but less per point in some models, while slow ones stretch the pain without reducing it. Supply shocks scramble the arithmetic: when inflation comes from energy rather than demand, squeezing demand sacrifices output without addressing the source, and the ratio balloons.
For a non-finance reader, the sacrifice ratio is the invoice for price stability: disinflation is never free, and the only real policy choices are how much to pay and how honestly to say so. The concept disciplines political debate: opponents of tightening quote the ratio's upper estimates, advocates quote the credible-policy lower ones, and both are using the same literature.
Measurement fights plague the numbers: dating the disinflation's start, defining the output gap, and assigning multi-year losses make each episode's ratio a range wearing a point estimate's clothes.
In practice
Real-world examples.
Example
A central bank estimates its ten-point disinflation will cost about 30 percent of one year's output at a sacrifice ratio of three. The invoice arrived over five years.
Example
A credible inflation target lowers the effective sacrifice ratio as expectations adjust faster than contracts.
Example
A supply-driven inflation punished with demand compression shows a ballooning sacrifice ratio and little disinflation.
Formula
Calculation
Sacrifice ratio = cumulative output loss, as a percentage of annual GDP, / reduction in trend inflation in percentage points. Estimates across disinflation episodes typically run from about 1 to 5, depending on credibility, institutions and shock type.
Worked example: output runs below potential by 5%, 8% and 5% in three successive years, so cumulative output loss = 5 + 8 + 5 = 18% of one year's GDP. Over the same period trend inflation falls from 9% to 3%, a reduction of 6 percentage points, so the sacrifice ratio = 18 / 6 = 3.
For an economy with annual GDP of $200 billion, an 18% loss of one year's output is $200 billion x 18% = $36 billion over the three years. That is the price paid for the 6-point fall in inflation, or $6 billion per percentage point.Case study
Seen in the real world.
This case study is fictional and illustrative. A made-up emerging-market central bank inherits 14 percent inflation and a public tired of it. The governor's staff models two paths: a sharp tightening cutting inflation to 4 percent in two years, and a gradual one taking five, each with its own sacrifice arithmetic. The historical estimates drive the presentation: at the country's estimated sacrifice ratio of three, the ten-point disinflation costs roughly 30 percent of one year's output spread across the adjustment, and the only question the models cannot answer is who pays it.
The sharp path concentrates the loss in two brutal years of unemployment; the gradual path spreads a smaller annual loss across a parliament's whole term, and the board chooses gradualism with an explicit public target, hoping credibility itself lowers the ratio, as the research suggests it can. Five years later inflation prints 4.2 percent, the cumulative output cost lands close to the staff's middle estimate, and the governor's farewell lecture names the real policy variable: the ratio was never fixed, it was a price that fell every quarter the public believed the bank would finish, and rose every time politics suggested otherwise. The lecture's closing line enters the country's economics curriculum: disinflation is bought with output, but the currency of payment is credibility.
Watch out
Common mistakes.
- Treating the ratio as a constant; it varies with credibility, wage-setting institutions, and shock type, and a country's own past is a fragile guide.
- Applying it to supply shocks; squeezing demand against energy-driven inflation sacrifices output without addressing the cause, inflating the measured cost.
- Reading it as an argument against disinflation; the ratio prices the transition, while the costs of staying at high inflation accumulate forever.
Questions
People also ask.
What is the sacrifice ratio?
The cumulative output lost, in percent of annual GDP, per percentage point of inflation reduced, measuring the cost of disinflation.
What are typical values?
Estimates across countries and episodes run roughly from 1 to 5, depending on central bank credibility, labour institutions, and the shock being fought.
Can policy lower it?
Yes: credible targets and clear communication speed expectation adjustment, reducing the output cost per point of disinflation.
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