Concept · example: ETH, week of 19 April 2021

Sensitivity analysis

How do you test whether a conclusion survives when one input behind it is changed?

In plain words

Sensitivity analysis re-runs a conclusion while moving one input at a time and holding the others fixed, to see how far the output shifts. If the output barely moves, the conclusion is robust; if a small change in the input flips it, the conclusion rests on that input.

Why it matters

Most risk judgements depend on assumptions chosen by whoever built the model: a reference price, a volatility estimate, a threshold. Sensitivity analysis shows which of those choices the verdict actually depends on, and therefore where the judgement is fragile rather than well supported.

In a real week: ETH, week of 19 April 2021

For ETH in the week of 19 April 2021, a rule that calls a week strong when its return exceeds the historical median reads a 3.79% close, the 58th percentile of 166 weeks, as strong. Change one input: measure the same week from its low of 2055.00 on Tuesday 20 April at 07:00 UTC to its high of 2644.47 on Thursday 22 April at 16:00 UTC, and the week shows a 28.68% range, far larger than the closing figure.

A common mistake

Mistaking sensitivity for probability. It shows how much a conclusion depends on an input, not how likely that input is to change, and moving several inputs at once hides which one drove the result.

Related ideas

scenario analysisstress testrisk modelassumption

Research notes on real market weeks, not investment advice. Sources: Binance spot BTCUSDT and ETHUSDT 1-hour candles and USD-M perpetual funding rates; weekly figures computed by WSTiger.

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