EMV Calculator – Expected Monetary Value
Results are estimates based on the values you enter. Recheck your inputs and assumptions before using the output for decisions.
Calculate expected monetary value from two possible outcomes and their probabilities.
EMV Calculator – Expected Monetary Value
Free online EMV calculator to estimate expected monetary value from possible outcomes and their probabilities. This calculator is useful for project managers, finance teams, business owners, risk analysts, students, procurement teams, and decision-makers who want a simple way to compare uncertain choices in money terms. EMV stands for expected monetary value, and it is commonly used in risk analysis, project planning, tender evaluation, investment screening, and business decision-making where more than one financial outcome is possible.
The calculator works with two outcomes and their probabilities. Outcome 1 value can be a gain or a loss, and Outcome 2 value can also be a gain or a loss. Each outcome has its own probability percentage. Once those values are entered, the calculator shows the weighted value of each outcome, the total expected monetary value, and the combined probability total. This makes it easier to judge whether a risky option has a positive expected value, a negative expected value, or a low value relative to alternatives.
The formula of expected monetary value
Weighted outcome 1 = Outcome 1 value x Outcome 1 probability
Weighted outcome 2 = Outcome 2 value x Outcome 2 probability
Expected monetary value (EMV) = Weighted outcome 1 + Weighted outcome 2
Probability total = Outcome 1 probability + Outcome 2 probability
Here outcome value means the monetary result of one scenario, and probability means the chance of that scenario happening. The EMV result shows the average monetary value you would expect over time if the same decision were repeated under the same probabilities.
Solved Example
Example 1: Find the EMV if Outcome 1 value is $120,000 with a 60% probability, and Outcome 2 value is -$50,000 with a 40% probability.
Solve: Weighted outcome 1 = 120000 x 0.60 = $72,000
Weighted outcome 2 = -50000 x 0.40 = -$20,000
Expected monetary value = 72000 + (-20000) = $52,000
Probability total = 60% + 40% = 100%
Example 2: Find the result if Outcome 1 value is $80,000 with a 35% probability, and Outcome 2 value is -$15,000 with a 65% probability.
Solve: Weighted outcome 1 = 80000 x 0.35 = $28,000
Weighted outcome 2 = -15000 x 0.65 = -$9,750
Expected monetary value = 28000 + (-9750) = $18,250
Example 3: Find the result if Outcome 1 value is $200,000 with a 25% probability, and Outcome 2 value is -$60,000 with a 75% probability.
Solve: Weighted outcome 1 = 200000 x 0.25 = $50,000
Weighted outcome 2 = -60000 x 0.75 = -$45,000
Expected monetary value = 50000 + (-45000) = $5,000
Table of EMV calculator
| Outcome 1 | Prob. 1 | Outcome 2 | Prob. 2 | EMV |
|---|---|---|---|---|
| $80,000 | 35% | -$15,000 | 65% | $18,250 |
| $120,000 | 60% | -$50,000 | 40% | $52,000 |
| $200,000 | 25% | -$60,000 | 75% | $5,000 |
| $300,000 | 20% | -$90,000 | 80% | -$12,000 |
How to use this EMV calculator
Enter the first outcome value in the proper input field. After that, enter the probability percentage for that outcome. Then enter the second outcome value and its probability percentage. Finally, click the calculate button. The calculator will show the weighted value of each outcome, the expected monetary value, and the combined probability total in the result box. Make sure the two outcomes belong to the same decision and that the probabilities are based on the same scenario set.
This calculator is useful when comparing risky choices, tender opportunities, project alternatives, and decision-tree branches. If EMV is strongly positive, the decision may offer attractive average value over time. If EMV is negative, the decision may destroy value on average unless there are strategic reasons to proceed. Looking at the weighted outcome values helps explain whether the result is driven by a large upside, a large downside, or the probability balance between the two. The probability total also helps you check whether your assumptions are internally complete.
When using the result, remember that EMV is an average-value tool, not a guarantee of what will happen in one real-world case. A project with a positive EMV can still fail in one instance, and a project with a negative EMV can still succeed by chance. EMV should be read together with risk tolerance, cash-flow timing, downside capacity, and scenario quality. Even so, expected monetary value remains one of the most practical quick methods for decision analysis. This calculator gives a fast numerical view that supports risk review, option comparison, and structured business judgment.