How to Calculate Expected Loss for Legal Contingencies
Learn to calculate probability-weighted expected loss for litigation reserves. A step-by-step guide with examples and formulas.
When managing litigation exposure, CFOs often face a fundamental question: How do I turn uncertain legal outcomes into numbers I can defend to auditors and the board?
The answer lies in probability-weighted expected value — a method that transforms uncertain outcomes into defensible financial estimates. This guide walks through the calculation step by step.
What Is Expected Loss?
Expected loss is the probability-weighted average of potential outcomes. For litigation, it accounts for the fact that you might lose (and pay damages) or win (and pay only defence costs, or nothing at all).
The basic formula:
Expected Loss = Potential Loss × Probability of Loss
For a claim with €1,000,000 exposure and a 70% probability of an adverse outcome:
Expected Loss = €1,000,000 × 0.70 = €700,000
This doesn’t mean you’ll pay exactly €700,000. You’ll either pay significantly more (if you lose) or significantly less (if you win). But €700,000 represents the statistically expected value across many similar cases.
Why Use Probability-Weighted Values?
Several reasons make this approach both practical and defensible:
1. Accounting standards support it
IAS 37 specifically mentions the expected value method when outcomes are continuous or when no single outcome is more likely than others. For portfolios of litigation, expected value provides a rational basis for provisioning.
2. It’s actuarially sound
Insurance companies and risk professionals have used probability-weighted expected values for centuries. The methodology is well-established and auditors understand it.
3. It communicates uncertainty honestly
Rather than picking an arbitrary “best estimate,” expected loss explicitly incorporates the probability of different outcomes. This provides better information for decision-making.
4. It aggregates sensibly
When you have multiple matters, expected losses can be summed to give a portfolio-level view. This isn’t true of simple point estimates.
The Calculation Step by Step
Let’s work through a complete example:
Step 1: Estimate Potential Exposure
This is the maximum realistic loss if the case goes badly. Include:
- Judgment exposure: Damages, compensation, penalties
- Adverse costs: Opposing party’s legal costs (if applicable in your jurisdiction)
- Defence costs: Your own legal fees to complete the case
Example:
- Judgment exposure: €500,000
- Potential adverse costs: €75,000
- Defence costs to completion: €100,000
- Total potential exposure: €675,000
Step 2: Assess Probability
Assign a probability to the adverse outcome. This is the critical judgment step.
For IAS 37 compliance, many companies use probability midpoints:
| Band | Definition | Midpoint |
|---|---|---|
| Remote | Very unlikely | 10% |
| Reasonably Possible | Neither probable nor remote | 45% |
| Probable | More likely than not | 85% |
Example: Legal counsel assesses this case as “Reasonably Possible”
- Probability: 45%
Step 3: Calculate Expected Loss
Apply the probability to each component:
Expected judgment: €500,000 × 45% = €225,000 Expected adverse costs: €75,000 × 45% = €33,750 Defence costs: €100,000 × 100% = €100,000 (these are incurred regardless)
Total expected loss: €358,750
Step 4: Consider Scenarios
For more sophisticated analysis, consider multiple scenarios:
| Scenario | Probability | Total Outflow | Expected Value |
|---|---|---|---|
| Win (no damages) | 55% | €100,000 | €55,000 |
| Lose (full damages) | 30% | €675,000 | €202,500 |
| Settle | 15% | €350,000 | €52,500 |
| Total | 100% | €310,000 |
This multi-scenario approach often provides a more nuanced view than simple probability bands.
Defence Costs: A Special Case
Defence costs deserve special attention because they’re often incurred regardless of outcome:
Sunk costs: Legal fees already incurred are not part of the provision — they’re already expensed.
Costs to completion: Future legal fees should be estimated and included. These are typically more certain than judgment outcomes.
Probability treatment:
- Defence costs incurred regardless of outcome: Include at 100%
- Additional costs only if case continues: Probability-weight appropriately
Portfolio Aggregation
With multiple matters, expected losses can be summed:
| Matter | Exposure | Probability | Expected Loss |
|---|---|---|---|
| Smith v. Company | €500,000 | 85% | €425,000 |
| IP Dispute | €1,200,000 | 45% | €540,000 |
| Contract Claim | €300,000 | 10% | €30,000 |
| Portfolio Total | €2,000,000 | €995,000 |
The portfolio expected loss (€995,000) is more meaningful than the gross exposure (€2,000,000) for financial planning.
Common Mistakes
1. Ignoring Defence Costs
Many calculations focus only on judgment exposure. In some cases, defence costs exceed potential damages.
2. Using Inconsistent Probability Bands
Different assessors using different definitions of “probable” creates inconsistency. Establish clear criteria.
3. Not Updating Assessments
A 45% probability assessed six months ago may be 80% today. Review regularly.
4. Treating Expected Loss as the Provision
Under IAS 37, the provision should be the best estimate — which may be expected value or may be a single most likely outcome. Understand when each applies.
5. Overcomplicating Scenarios
More scenarios doesn’t mean better analysis. Focus on materially different outcomes.
Practical Tips
Document the rationale: For each probability assessment, record why you chose that band. “Legal counsel advises…” or “Based on similar cases…”
Use ranges: Where uncertain, calculate expected loss at both ends of a probability range. This shows sensitivity.
Separate judgment from costs: Track these separately for better analysis and clearer audit documentation.
Build in reviews: Establish triggers (case developments, time passage) for reassessment.
Track outcomes: Compare actual results to predictions over time. This improves calibration.
Using the Reserve Calculator
For quick calculations, try our free Reserve Calculator. It:
- Applies standard probability midpoints
- Calculates expected loss automatically
- Separates judgment exposure and defence costs
- Indicates the recommended accounting treatment
For portfolio management across multiple matters, Contingent automates these calculations and maintains the audit trail auditors require.
Conclusion
Probability-weighted expected loss transforms uncertain litigation outcomes into defensible financial estimates. The methodology is straightforward:
- Estimate the potential exposure
- Assess the probability of adverse outcome
- Multiply and sum the components
- Document your rationale
Done consistently, this approach provides CFOs with reliable numbers for financial reporting while maintaining the documentation auditors expect.
Try our Reserve Calculator to calculate expected loss for a single matter.
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