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Glossary
Expected value
Expected value (EV), used here as expected monetary (or other numeric payoff) value, is the probability-weighted average of possible outcomes for a decision. It summarizes a set of payoff states into one figure of merit when probabilities are meaningful — and misleads when probabilities are invented to force a calculation. Expected value is related to, but not the same as, expected utility: expected utility applies a utility function to outcomes and can rank risky prospects differently from raw monetary EV when risk preferences matter.
Why it matters
EV helps compare alternatives when upside and downside are asymmetric and probabilities can be defended. It is not a prediction of what will happen; it is a weighted summary of what might happen under stated assumptions.
A simple calculation: an opportunity with a 40% chance of generating €100,000 and a 60% chance of losing €20,000 has expected net value EV = 0.40 × 100,000 + 0.60 × (−20,000) = €28,000. The positive EV does not eliminate the possibility of loss, nor does it decide risk tolerance, cash constraints, or ruin risk — a firm can still prefer a lower-EV option with a bounded downside.
Keep expected monetary value separate from expected utility. Expected utility folds in how decision makers value gains and losses; two leaders can share the same EV table and still choose differently if their utilities differ. Operators also confuse EV with the “most likely” case or with certainty.
Example (enterprise): A product team compares two launch packages. Package A has a high probability of modest contribution; Package B has a lower probability of a large enterprise win. EV favors B only after probabilities are tied to pipeline evidence — and still requires a separate check that downside does not breach cash covenants.
Mechanisms
- Enumerate mutually exclusive outcomes with payoffs on a consistent unit and horizon.
- Assign probabilities that reflect evidence — or refuse EV when probabilities are not credible.
- Compute the probability-weighted sum and compare alternatives; stress-check tails separately.
Boundaries
- Expected value ≠ the outcome that will occur; it is a weighted average across possibilities.
- Expected monetary value ≠ expected utility; utility reflects risk preference and can change rankings.
- Expected value ≠ risk; risk concerns dispersion and downside, which EV compresses away.
- Fabricated probabilities do not create rigorous EV analysis.
- Positive EV does not guarantee a positive realized result or acceptable downside.
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