Taylor Rule Calculator

Estimate the monetary-policy interest rate the Taylor Rule prescribes from current inflation, the inflation target, the output gap, the neutral real rate, and response weights.

Quick Facts

Formula
i = r* + π + aπ(π - π*) + ay(y)
Sets the nominal policy rate from the neutral real rate, current inflation, and weighted inflation/output gaps.
Origin
Proposed by economist John Taylor, 1993
Taylor's original rule used r*=2%, a target of 2% inflation, and equal weights of 0.5 on both gaps.

Your Results

Calculated
Recommended policy rate
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Taylor Rule prescribed nominal rate
Implied real interest rate
-
Policy rate minus current inflation
Inflation-gap contribution
-
aπ × (inflation - target)
Output-gap contribution
-
ay × output gap

Ready

Enter inflation, the output gap, and the neutral real rate, then press Calculate.

What the Taylor Rule Calculator does

The Taylor Rule is a monetary-policy guideline, proposed by Stanford economist John Taylor in 1993, that recommends a nominal short-term interest rate — historically framed around the U.S. federal funds rate — from three ingredients: how far inflation sits from its target, how far the economy's output sits from its sustainable potential, and an estimate of the "neutral" real interest rate that neither stimulates nor restrains growth. This calculator applies the standard formula directly to the numbers you enter.

The formula

i = r* + π + aπ(π − π*) + ay(y)

Where i is the recommended nominal policy rate, r* is the equilibrium real interest rate, π is current inflation, π* is the inflation target, y is the output gap (the percent by which actual GDP sits above or below potential GDP), and / ay are response weights that control how aggressively the rate reacts to each gap. Taylor's original 1993 paper set r* = 2%, π* = 2%, and aπ = ay = 0.5 — those are the calculator's defaults, and every field can be adjusted to test other assumptions or later variants of the rule.

Worked example

With the defaults — 3% inflation, a 2% target, a 0.5% output gap, a 2% neutral real rate, and 0.5 weights on both gaps — the rule computes: inflation-gap contribution = 0.5 × (3 − 2) = 0.5, output-gap contribution = 0.5 × 0.5 = 0.25, so the recommended rate is i = 2 + 3 + 0.5 + 0.25 = 5.75%. Subtracting current inflation gives an implied real policy rate of 5.75 − 3 = 2.75%.

Reading the gaps

  • Inflation gap (π − π*): positive when inflation runs above target, which pushes the recommended rate up to cool price growth; negative when inflation is below target, pulling the recommended rate down.
  • Output gap (y): positive when the economy is producing above its estimated potential (typically associated with a tightening labor market), which also raises the recommended rate; negative when output is below potential, lowering it.
  • Response weights (aπ, ay): larger weights make the recommended rate react more sharply to each gap. Some later variants — notably the "Taylor 1999" rule — raise ay toward 1.0 for a more activist response to economic slack.

Limitations to keep in mind

The Taylor Rule is a benchmark, not a forecast or a binding formula. The neutral real rate and the output gap are themselves estimates that economists revise over time and often disagree about, so the calculator's output changes with the assumptions you feed it. Central banks weigh the rule alongside financial-stability risks, employment data, credit conditions, and forward guidance — they do not mechanically set rates to match it. Treat the result as a transparent reference point for understanding the logic of rules-based monetary policy, not as investment or policy advice.

Frequently Asked Questions

What is the Taylor Rule formula?
The Taylor Rule, proposed by economist John Taylor in 1993, is i = r* + π + aπ(π − π*) + ay(y), where i is the recommended nominal policy interest rate, r* is the equilibrium real interest rate, π is current inflation, π* is the inflation target, y is the output gap (percent deviation of actual from potential GDP), and aπ and ay are response weights (0.5 in Taylor's original rule).
What do the inflation gap and output gap mean?
The inflation gap is current inflation minus the target inflation rate; a positive gap means inflation is running above target, which the rule answers with a higher rate. The output gap is the percent difference between actual GDP and estimated potential GDP; a positive output gap signals an economy running above its sustainable capacity, which also pushes the recommended rate up.
Why do the response weights matter?
The weights aπ and ay set how aggressively the rule reacts to each gap. Taylor's 1993 rule used 0.5 for both. Later variants, such as the "Taylor 1999" rule, raise the output-gap weight toward 1.0 for a more activist response to slack. Raising either weight makes the recommended rate more sensitive to that gap.
Is this the actual rate a central bank will set?
No. The Taylor Rule is a benchmark, not a binding formula — central banks such as the Federal Reserve consider it as one input among many, alongside financial stability, employment data, and forward guidance. Estimates of the neutral real rate and the output gap are themselves uncertain, so the rule's output should be read as a reference point, not a precise target.