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Inverted Yield Curve

A yield curve is inverted when longer-dated debt yields less than shorter dated debt, which is the reverse of the usual arrangement. It is studied because inversions have generally preceded US recessions, and the Federal Reserve Bank of New York publishes a model built on exactly that relationship.

Last reviewed by Steven Fox, CFP®, EA on

Quick Summary

  • An inversion means the market is paying less to lend for ten years than for three months, which reverses the normal ordering.
  • Saying "the yield curve inverted" is incomplete without naming the spread, because the common measures do not invert at the same time.
  • The New York Fed's model defines the term spread as the difference between 10-year and 3-month Treasury rates and outputs a probability of recession twelve months ahead.
  • Its stated lead time is about four to six quarters, which is long, variable, and not a date.
  • The model produces a probability rather than a call, and the recessions it is scored against are dated by the NBER long after the fact.

Definition

An inverted yield curve is a yield curve on which longer maturities yield less than shorter ones, so a lender is paid more to commit money for months than for years. The shape is unusual and it draws attention because it has generally appeared in advance of US recessions, which is why the Federal Reserve Bank of New York maintains a published model, "The Yield Curve as a Leading Indicator," built on the relationship.

The first thing to establish about any statement that the curve has inverted is which two rates are being compared. The New York Fed's model uses what it calls the term spread, and it is specific about the definition: "the term spread is defined as the difference between 10-year and 3-month Treasury rates." Its published chart carries the same label, "Treasury Spread: 10 yr bond rate-3 month bill rate." Market commentary frequently uses a different pair, the ten-year against the two-year, and the New York Fed's own FAQ notes that "the ten-year minus two-year spread may invert earlier than the ten-year minus three-month spread, which tends to be larger." Two measures, two answers, two dates. A claim that the curve inverted without naming the spread has left out the part that determines whether it is true.

Advanced Explanation

What the New York Fed's model actually produces is a probability, not a verdict. The model uses the slope of the yield curve to calculate the probability of a recession in the United States twelve months ahead. Its FAQ summarizes the underlying evidence this way: the term spread has borne a consistent negative relationship with subsequent real economic activity in the United States, "with a lead time of about four to six quarters," and models predicting recessions or real GDP growth "tend to explain 30 percent or more of the variation" in the measure of activity. A relationship that explains some of the variation, a year or more in advance, is a serious research finding and is not a timing instrument.

The historical record as the New York Fed states it, with its own qualifications attached. The FAQ reports that the yield curve "has predicted essentially every U.S. recession since 1950 with only one 'false' signal," which preceded the credit crunch and slowdown in production in 1967, an episode the NBER did not classify as a recession despite a marked decline in industrial production. On the narrower question of inversions specifically, it states that since 1960 an inversion measured on the ten-year against the three-month "has preceded every recession on record," and that in monthly averages the ten-year rate was at least 12 basis points below the three-month rate before each of those recessions. It also records the near misses that make the threshold matter: in two episodes during the 1990s the spread fell to very low positive levels, 42 and 12 basis points, without inverting, and activity continued in both cases. Two cautions belong with all of this. The FAQ is a summary of a research literature whose citations run to the mid-2000s, so it does not speak to more recent episodes. And the number of US recessions in the period is small, so a record of being right nearly every time rests on a handful of observations.

The FAQ is unusually candid about what is missing, and it is the honest part to quote. In its own words, "no theory establishes a clear connection specifically between yield curve inversions and recessions." The relationship is empirical. Two technical points from the same source sharpen how the signal should be read. First, it is the level of the spread that carries the information, "not the change in the spread, nor even the source of the change in the spread," so an inversion produced by short rates rising is not read differently from one produced by long rates falling. Second, persistence matters: one-day moves of more than 25 basis points in the spread occur about two and a half percent of the time, so "a signal that lasts only one day may be dismissed, but a signal that persists for a month or more should be looked at carefully," which is why the work is generally done on monthly averages.

The part that matters for a household is the arithmetic of the lead time. Suppose the signal is read correctly and a recession does follow. The lead is four to six quarters, the model's output is a probability rather than a date, the depth is not forecast at all, and the NBER dates the recession retrospectively, typically many months after the turning point it names. A decision to change a long-term allocation on this basis requires being right about the signal, right about the timing of the exit, and right again about when to return, which is the general problem covered under market timing. The indicator's usefulness is as a description of financial conditions, not as an instruction.

Used in a Sentence

“Priya's newsletter said the market was watching for an inverted yield curve, which sent her to look up which two Treasury rates the writer was comparing.”

How It Works

Take two Treasury yields of different maturities on the same day and subtract the shorter from the longer. A positive result means the curve slopes upward between those two points; a negative result means it is inverted between them. The New York Fed's model uses the ten-year minus the three-month, on monthly averages, and reports the resulting recession probability twelve months ahead.

A hypothetical example of why naming the spread is not pedantry. On one day, three-month bills yield 4.60%, two-year notes yield 4.05%, and ten-year notes yield 4.15%.

On the New York Fed's measure the spread is 4.15% − 4.60% = −0.45 percentage points, or −45 basis points. That curve is inverted, and it is well past the 12 basis point margin the FAQ associates with pre-recession readings.

On the ten-year against the two-year the spread is 4.15% − 4.05% = +0.10 percentage points, or +10 basis points. That measure is not inverted at all.

Same day, same Treasury market, one curve. A reader told only that "the yield curve inverted" cannot tell which of these two descriptions they have been given, and the two would produce different dates for the same episode.

Pros and Cons

Pros

  • The underlying data is published daily by the Treasury and the model by a Federal Reserve bank, so the indicator is transparent and free to check.
  • The historical association with subsequent recessions is long-standing and has been examined in a substantial published literature.
  • The New York Fed's summary of that literature reports that it compares well with other leading indicators, and that none of the alternatives examined dominates it as a predictor.
  • It is a single number, computed the same way each month, which makes it hard to fit to a story after the fact.

Cons

  • The result depends on which spread is used, and the common measures invert at different times.
  • The lead time is about four to six quarters and varies, so the signal identifies a period rather than a date.
  • The model reports a probability of recession, not the depth of one or what markets will do, and those are the questions an investor actually faces.
  • The New York Fed states that no theory establishes a clear connection specifically between inversions and recessions, so the basis is empirical.
  • The record rests on a small number of US recessions, and the FAQ summarizing it cites work through the mid-2000s.

People Also Asked

Answers to the most frequently asked questions.

Which spread is "the" yield curve inversion?
There is no single one, which is why the measure has to be named. The New York Fed's leading-indicator model defines its term spread as the difference between 10-year and 3-month Treasury rates, and publishes its chart under that label. Commentary often uses the ten-year against the two-year instead. The New York Fed notes that the ten-year minus two-year spread may invert earlier than the ten-year minus three-month spread, which tends to be the larger of the two.
Does an inverted yield curve mean a recession is coming?
It raises a modeled probability, over a long and variable horizon. The New York Fed's model calculates the probability of a recession twelve months ahead, and its summary of the literature reports a lead time of about four to six quarters. The same source is explicit that no theory establishes a clear connection specifically between inversions and recessions, and that the relationship is empirical. A raised probability a year out is a different statement from a prediction.
How long does an inversion have to last to count?
Longer than a day. The New York Fed points out that one-day moves of more than 25 basis points in the spread happen about two and a half percent of the time, often from temporary supply and demand conditions in the Treasury market rather than from any change in expectations. Its guidance is that a signal lasting a single day may be dismissed while one persisting for a month or more deserves attention, which is why the analysis is usually done on monthly averages.
Should I change my investments when the curve inverts?
Nothing about the indicator answers that question, and its own properties argue against treating it as a trigger. The output is a probability over roughly a year, it says nothing about how deep a downturn would be or how markets would respond, and acting on it requires being right about the exit and about the return. A household whose allocation would need to change because a recession might arrive within a year is describing a mismatch between its holdings and its timeline, which is a question about the allocation itself rather than about the curve.
Has the yield curve ever been wrong?
By the New York Fed's own account, once in the period it reviews: a signal preceding the 1967 credit crunch and slowdown in industrial production, which the NBER did not classify as a recession. Its FAQ also records two episodes in the 1990s when the spread fell to very low positive levels, 42 and 12 basis points, without inverting and without a recession following. That summary reflects a literature cited through the mid-2000s and does not address more recent episodes.

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