Pain Index

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Ulcer Index's linear cousin. Measures the average underwater distance.

Quick Answer

What is Pain Index?

Pain Index is the average magnitude of drawdown over a window — calculated as the mean of absolute drawdowns at every observation. Unlike Ulcer Index (which squares drawdowns), Pain Index uses linear absolute values, so it penalizes shallow-but-sustained drawdowns more proportionately than deep-but-brief ones.

Pain Index = (1/n) · Σ |DDᵢ|

Formula

Pain Index = (1/n) · Σi=1..n |DDi|
|DDi| = absolute value of drawdown at observation i · n = number of observations

Equivalent to the average distance below the running peak across the entire window. A portfolio that spent 100% of the time at a peak has Pain Index 0; one that spent the entire window at exactly −10% has Pain Index 10%.

Intuition — what is this number telling you?

Pain Index captures the simple intuitive measure: "on average, how far below my peak was I?" A portfolio with one brief −40% drawdown and otherwise at peaks has small Pain Index but large Max DD. A portfolio that lingered at −15% for years has moderate Pain Index but smaller Max DD.

For investors who care about the full underwater experience and not just the worst moment, Pain Index is more honest than Max DD.

Worked example

Step-by-step

Drawdowns over 12 months: 0%, 0%, −3%, −8%, −12%, −10%, −7%, −5%, −2%, 0%, 0%, −4%.

Absolute values: 0, 0, 3, 8, 12, 10, 7, 5, 2, 0, 0, 4. Sum = 51. Mean = 4.25%.

That is your Pain Index — on average across the year, your portfolio was 4.25% below its running peak.

What's a good Pain Index value?

Pain Index is in the same percentage units as Ulcer Index but usually slightly lower (linear vs. quadratic averaging). For the S&P 500 long-run, Pain Index averages around 3–5%.

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Related metrics

Ulcer Index  ·  Maximum Drawdown  ·  Martin Ratio  ·  Drawdown

Frequently asked questions about Pain Index

How is Pain Index different from Ulcer Index?

Pain Index uses absolute drawdowns; Ulcer Index uses squared. Pain Index is linear in depth; Ulcer Index is quadratic — penalizing deep drawdowns more.

What is a "Pain Ratio"?

Excess return divided by Pain Index. Conceptually similar to Martin Ratio but with linear pain weighting.

When should I use Pain Index?

When you care equally about all underwater time, regardless of depth. For investors who weight deep drawdowns more, Ulcer Index is the better choice.

Does Foliolytic compute Pain Index?

Yes — alongside Ulcer Index and Max DD in the drawdown section.

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