At a glance

Expected monetary value, or EMV, weights a monetary outcome by its probability. It answers: what is the average monetary effect if situations like this repeat?

EMV = probability × impact (in money)Probability is a fraction between zero and one. Impact is the additional monetary consequence if the event occurs.

For a single threat with no additional cost if it does not occur, multiply its probability by its cost. With several mutually exclusive outcomes, add probability × value for each outcome instead.

When to use it

Use it when…

You can estimate probability and money on a consistent basis. EMV helps compare response options and make assumptions explicit. It is also a starting point for discussing aggregate exposure.

Do not use it alone when…

A rare outcome would be unaffordable, the impact cannot sensibly be monetised, or the probabilities are guesses with no defensible basis. Use scenarios, ranges and judgement alongside it.

How to use it

  1. Define the event and time window.Be clear about what could happen and when. Use the same scope and period for every option you compare.
  2. State your inputs and units.Estimate the event probability and its additional cost or gain. Record the evidence and a plausible range. Use one currency and one price basis.
  3. Multiply, then label the result.Convert a percentage to a fraction before multiplying. Say “expected loss” or “expected gain”, rather than an ambiguous signed number.
  4. Compare complete options.Add the response cost to its residual expected loss. Keep the no-response baseline visible. Check sensitivity to the uncertain inputs.
  5. Check the decision against the downside.Ask whether you can withstand the full impact. EMV is not a confidence level, a cash reserve requirement or a promise.

Worked example: overtime exposure

A delivery team may need overtime to finish a planned release. There is an estimated 50% chance of €15,000 in additional overtime cost. Otherwise, no extra overtime cost arises.

50 ÷ 100 × €15,000 = €7,500Expected loss, in euros

The expected loss is €7,500. Under this simplified scenario, the actual extra cost is either zero or €15,000. The average is not a third possible outcome.

What would change your decision?

If the estimate is fragile, test a lower and a higher probability. If the full overtime cost is unaffordable, a low expected loss does not solve the funding problem.

The risk-response example takes the next step: comparing a paid response with accepting the exposure.

Common pitfalls

  • Multiplying by a percentage as if it were a whole number. Convert the probability before calculating.
  • Mixing losses and gains. State the sign convention. Do not silently treat an uncertain opportunity as available funding.
  • Double-counting the same consequence. Overlapping risk descriptions can include the same cost more than once.
  • Assuming independence is needed to add expected values. It is not, but dependencies matter greatly for the combined downside and required reserve.
  • Presenting precise arithmetic as precise evidence. The inputs may be uncertain even when the multiplication is exact.

Where the bodies place it

These are reading pointers, not a claim that the qualifications are equivalent.

IPMA® — Individual competence baseline

ICB4 §4.5.11 addresses identifying, assessing and responding to uncertainty. EMV is included among the supporting techniques.

Read the official source

PMI® — Guide and exam outline

The eighth-edition guide includes a risk performance domain. The July 2026 exam outline places risk and issue work in Business Environment, tasks 4 and 5.

Read the official source

APM — Qualification handbook

The qualification handbook covers risk and issue work in objective 23, including response choices and contingency planning. This is a topic pointer, not an exam weighting.

Read the official source

Guide context: the official eighth-edition guide overview. Checked 27 September 2026.

Attribution & source

EMV applies the general mathematical definition of expected value. The worked example comes from the series’ E16 handout; the practitioner explanation is by fannarmaximus. No single originator is attributed to this standard calculation.

Source: E16 study handout, “Expected monetary value (EMV)”. This page uses positive amounts for expected losses and expected gains, keeping the two categories separate.