LGD (Loss Given Default) Calculator
Calculate the Loss Given Default to measure the percentage of exposure that would be lost if a borrower defaults. LGD is a critical component in credit risk management, helping lenders assess potential losses and set appropriate loan pricing and reserves.
Expected Loss (EL) Calculation
EL = PD × LGD × EAD
Different asset classes have varying recovery rates based on collateral quality and liquidity:
See how different recovery rates affect your LGD and Expected Loss:
| Recovery Rate | LGD | Loss Amount | Expected Loss (EL) | Risk Level |
|---|
Understanding Loss Given Default (LGD)
Loss Given Default (LGD) is a critical metric in credit risk management that quantifies the percentage of exposure a lender expects to lose when a borrower defaults. It is one of the three key parameters used in credit risk models, alongside Probability of Default (PD) and Exposure at Default (EAD).
Key Components Explained
Exposure at Default (EAD)
EAD represents the total amount that is at risk when a default occurs. For a standard loan, this includes:
- Outstanding principal balance
- Accrued but unpaid interest
- Fees and other charges
- For credit lines: current draw plus expected additional draws before default
Recovery Amount
The recovery amount is what the lender expects to receive through various means:
- Liquidation of collateral
- Guarantor payments
- Bankruptcy proceedings
- Workout agreements
- Collection efforts
Collateral Haircut
When calculating recovery from collateral, lenders apply a "haircut" to account for:
- Liquidation costs (legal fees, auction costs)
- Market volatility during the disposition period
- Time value of money
- Forced-sale discounts
Example Calculation
A bank has a $100,000 loan that defaults. The expected recovery is $45,000.
LGD = ($100,000 - $45,000) / $100,000 = 55%
The bank expects to lose 55% of its exposure, or $55,000.
The Expected Loss Framework
LGD is part of the Expected Loss (EL) formula, which is fundamental to credit risk management:
This framework allows banks to:
- Set appropriate loan pricing to cover expected losses
- Determine adequate loan loss provisions and reserves
- Calculate regulatory capital requirements
- Make informed credit decisions
Factors Affecting LGD
1. Collateral Quality and Type
- Cash and marketable securities: Lowest LGD (highest recovery)
- Real estate: Low LGD, but liquidation takes time
- Equipment and machinery: Moderate LGD, depends on specialization
- Inventory and receivables: Higher LGD, harder to liquidate
- Unsecured: Highest LGD
2. Seniority of the Claim
- Senior secured debt: First claim on assets, lowest LGD
- Senior unsecured debt: Behind secured creditors
- Subordinated debt: Junior claims, higher LGD
- Equity: Last in line, typically 100% LGD
3. Economic Conditions
LGD tends to be procyclical - higher during recessions when:
- Collateral values decline
- More borrowers default simultaneously
- Buyer demand for distressed assets is lower
- Workout and recovery processes take longer
4. Industry Factors
Some industries have consistently higher or lower LGDs:
- Utilities: Low LGD (stable assets, regulated revenues)
- Technology: Higher LGD (intangible assets, rapid obsolescence)
- Retail: Variable (depends on real estate vs. inventory-heavy)
Important Considerations
- LGD ≠ Risk: High LGD doesn't mean high risk if PD is very low. A secured loan to a strong borrower may have 20% LGD but minimal expected loss.
- Context Matters: Always consider LGD alongside PD and EAD for a complete risk picture.
- Historical vs. Stressed: Use "downturn LGD" for regulatory capital calculations, which is higher than historical averages.
- LGD Can Be Zero: If collateral fully covers the exposure and recovery costs, LGD can be 0%.
LGD vs. Other Credit Risk Metrics
| Metric | What It Measures | Range | Key Drivers |
|---|---|---|---|
| LGD | Loss severity given default | 0% - 100% | Collateral, seniority, recovery process |
| PD | Likelihood of default | 0% - 100% | Borrower creditworthiness, financial health |
| EAD | Amount at risk at default | $0 - Credit limit | Current balance, credit conversion factor |
| Recovery Rate | Percentage recovered | 0% - 100% | Inverse of LGD (RR = 1 - LGD) |
Regulatory Framework
Basel II/III Advanced IRB Approach
Banks using the Advanced Internal Ratings-Based (A-IRB) approach can estimate their own LGDs, subject to:
- Minimum data requirements (typically 7+ years of default/recovery data)
- Use of "downturn" LGD estimates for capital calculations
- Floors on LGD (e.g., 10% for residential mortgages)
- Regular validation and back-testing
Foundation IRB Approach
Banks use regulatory-prescribed LGDs:
- Senior secured: 35%
- Senior unsecured: 45%
- Subordinated: 75%
Practical Applications
1. Loan Pricing
Banks use LGD to calculate the credit spread needed to cover expected losses:
Credit Spread ≥ PD × LGD + Operating Costs + Target Return
2. Credit Limits
Lower LGD (better collateral) may justify higher credit limits for the same borrower.
3. Portfolio Management
Aggregate LGD analysis helps banks identify concentration risks and diversification opportunities.
4. Loan Workout Strategies
Understanding LGD drivers helps in negotiating restructuring terms that minimize losses.
Frequently Asked Questions
Q: Can LGD be zero?
A: Yes, if the collateral value (after haircuts and costs) exceeds the exposure at default. However, in practice, some loss is almost always incurred due to time and administrative costs.
Q: Why is LGD different from actual losses?
A: LGD is an estimate based on expected recovery. Actual losses can be higher or lower depending on how the specific default unfolds, market conditions at the time, and recovery efforts.
Q: How does LGD change during a recession?
A: LGD typically increases during recessions because collateral values decline, more defaults occur simultaneously (flooding the market with distressed assets), and recovery processes take longer.
Q: Is high LGD always bad?
A: Not necessarily. What matters is the expected loss (PD × LGD × EAD). A high-LGD unsecured loan to an investment-grade borrower (very low PD) may have lower expected loss than a low-LGD secured loan to a struggling borrower.
Q: How do banks estimate LGD?
A: Banks use historical recovery data from their own portfolio and industry databases, adjusted for current economic conditions, collateral types, and workout assumptions. Statistical models and expert judgment are combined.