Loss Given Default (LGD)
What is Loss Given Default (LGD)?
Loss Given Default (LGD) is the percentage of a loan amount a lender loses when a borrower defaults, after accounting for recoveries. If a lender extends $100,000 and recovers $70,000 through collateral liquidation, the LGD is 30%. LGD is fundamental to credit risk modeling because it measures loss severity, not just likelihood of default.
Unlike Probability of Default (which asks "will they default?"), LGD answers "how much will we lose?" Two borrowers with identical default probability but different collateral backing will have vastly different LGDs and should be priced differently.
LGD Formula and Recovery Rate
LGD is straightforward to calculate:
LGD = 1 - Recovery Rate
Or: LGD = (Exposure at Default - Recovered Amount) / Exposure at Default
If a lender has a $50,000 exposure at default and recovers $35,000, LGD = ($50,000 - $35,000) / $50,000 = 30%.
Recovery rate (the inverse of LGD) represents what the lender actually gets back. A 70% recovery rate equals 30% LGD. Most lenders track recovery rate because it's clearer than loss percentage, though both measure the same thing.
What Drives LGD?
Collateral and Seniority
Secured loans have lower LGDs than unsecured ones. A mortgage-backed loan might have 20% LGD while unsecured personal loans often have 50-70% LGD. Senior debt gets paid first in liquidation, lowering LGD. Subordinated debt faces higher LGDs because creditors ahead absorb losses first.
Economic Conditions
Recovery rates collapse during recessions. A used car worth $20,000 normally might fetch only $12,000 in a downturn, raising LGD for auto lenders. Defaults spike precisely when recovery values plummet, compounding losses. Stress testing LGD across economic scenarios is essential for portfolio planning.
Loan Product Type
Auto loans typically have 20-40% LGD. Mortgages often run 10-25% LGD. Unsecured personal loans range 40-70% LGD. Business term loans vary (15-50%) depending on collateral and company health.
Recovery Costs
Collection, legal, and liquidation expenses reduce net recovery. A lender that recovers $35,000 from a $50,000 defaulted loan but spends $5,000 on collection costs really recovers $30,000. True LGD should reflect operational costs.
LGD in Credit Risk Management
Expected Loss Calculation
Lenders use the Expected Loss (EL) formula to forecast portfolio losses:
Expected Loss = Probability of Default (PD) × Exposure at Default (EAD) × LGD
If a lender has a $100,000 loan with 5% annual default probability and 40% LGD, expected annual loss = 5% × $100,000 × 40% = $2,000. This informs capital reserves, loan pricing, and portfolio limits.
Pricing Strategy
High-LGD exposures (unsecured, no collateral) require higher interest rates than low-LGD exposures (collateral-backed). If two borrowers have identical credit scores but one has collateral, the secured borrower should pay less because LGD is lower. Credit risk assessment directly influences pricing decisions.
Portfolio Composition
Sophisticated lenders actively manage portfolio LGD mix. Adding high-LGD unsecured loans increases portfolio risk and requires higher capital reserves. Mixing in secured loans lowers average portfolio LGD and improves efficiency.
Regulatory Capital
Basel III frameworks use LGD to calculate minimum capital requirements. Banks must estimate or validate LGDs for internal ratings-based (IRB) approaches. Understating LGD leads to inadequate capital. Overstating it wastes capital and reduces competitiveness.
Estimating LGD
Most lenders calculate LGD using historical default data from their own portfolios. For new products without history, they use industry benchmarks or peer data, adjusting for collateral type, borrower demographics, and economic scenario.
The key challenge: LGD estimates should reflect current conditions and forward-looking assumptions about recovery environments. A lender estimating LGD during favorable times may find estimates invalid during downturns.
Key Takeaways
Loss Given Default quantifies loss severity. It depends on collateral, seniority, economic conditions, and recovery costs. LGD is essential for calculating expected loss, pricing loans accurately, managing portfolio risk, and meeting regulatory requirements. Lenders that actively manage LGD gain significant competitive advantage in pricing and capital efficiency.
Disclaimer: This content is for informational purposes only and does not constitute financial or legal advice. LGD estimation involves complex methodologies and regulatory requirements. Consult with risk management professionals before implementing LGD models.