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Sensitivity Analysis: Testing How Much a Result Changes When One Input Moves

Learn what sensitivity analysis is, how it is used in finance, and why it helps identify the assumptions that matter most.

Sensitivity analysis tests how a financial result changes when one input changes while the other assumptions stay constant.

It is one of the most useful tools in valuation and project analysis because it shows which assumptions the conclusion depends on most heavily.

Why It Matters

Finance models often look precise, but their outputs depend on assumptions about:

  • growth

  • margins

  • discount rate

  • capital spending

  • exit multiples

Sensitivity analysis helps answer:

“Which assumption matters most, and how fragile is my conclusion if it changes?”

How It Works

The logic is simple:

  1. Choose an output, such as NPV, valuation, or IRR.

  2. Change one input.

  3. Hold the others constant.

  4. Observe how the output changes.

This isolates the effect of a single assumption.

Common Uses

Sensitivity analysis is widely used in:

For example, an analyst may test how valuation changes if the discount rate moves from 8% to 10% while everything else stays unchanged.

Why It Is Valuable

Sensitivity analysis does not predict the future. Its value is diagnostic.

It tells you:

  • where the model is most exposed

  • which assumptions deserve the most attention

  • whether a decision remains attractive under modest changes

If a model breaks under a tiny assumption change, the conclusion may not be robust.

Sensitivity Analysis vs. Scenario Analysis

This distinction matters:

  • sensitivity analysis changes one variable at a time

  • Scenario Analysis changes multiple assumptions together in a coherent story

Sensitivity analysis isolates drivers. Scenario analysis tests combined outcomes.

FAQs

Does sensitivity analysis tell you which outcome is most likely?

No. It shows how the result reacts to a changed assumption, not the probability of that assumption.

Why change one variable at a time?

Because it isolates cause and effect, making it easier to see which input is driving the result.

Can a model be sensitive to more than one assumption?

Yes. In practice many finance models are highly sensitive to several inputs, especially discount rate and terminal value assumptions.
Revised on Monday, May 18, 2026