LGD Calculator – Loss Given Default

What Is Loss Given Default (LGD)?

Loss Given Default (LGD) is a financial metric that estimates the percentage of an exposure a lender or investor expects to lose if a borrower defaults. It is a core component of credit risk analysis, used alongside Probability of Default (PD) and Exposure at Default (EAD) to calculate Expected Loss (EL).

LGD is expressed as a percentage of the total exposure. For example, an LGD of 40% means that if a borrower defaults on a $1,000,000 loan, the lender expects to lose $400,000 after accounting for recoveries from collateral, liquidation, or legal proceedings.

How LGD Is Calculated

The fundamental formula for LGD is:

LGD = 1 – Recovery Rate

Where the Recovery Rate is the percentage of the exposure that is recovered after default. Alternatively, LGD can be expressed as:

LGD = (EAD – Recoveries) / EAD

This calculator uses the direct input method. You provide the total exposure amount and the expected recovery amount. The tool then computes the loss percentage automatically.

Key Assumptions

• Recovery amounts are net of collection and legal costs.
• The calculation assumes a single point-in-time estimate, not a discounted cash flow model.
• No time value of money is considered. For regulatory or advanced internal ratings-based (IRB) approaches, discounted LGD models are often required.

How to Use the LGD Calculator

1. Enter Exposure at Default (EAD): Input the total outstanding amount at the time of default. This includes principal, accrued interest, and any fees.
2. Enter Expected Recovery: Input the total amount you expect to recover from collateral, asset sales, or other recovery processes.
3. Review the Result: The calculator displays the LGD as a percentage. A lower percentage indicates better recovery prospects.

Practical Example

A commercial bank has a $500,000 loan secured by equipment. The borrower defaults. The bank estimates it can sell the equipment and recover $350,000 after legal and administrative costs.

Calculation:

• EAD: $500,000
• Recovery: $350,000
• Loss: $500,000 – $350,000 = $150,000
• LGD: $150,000 / $500,000 = 30%

This means the bank expects to lose 30% of its exposure, or $150,000, on this defaulted loan.

Understanding Your Results

The LGD percentage directly reflects the severity of loss in a default scenario. Key points to consider when interpreting results:

• Low LGD (0%–30%): Indicates strong recovery prospects, often due to high-quality collateral or effective recovery processes.
• Moderate LGD (30%–60%): Typical for many secured loans where recovery is partial.
• High LGD (60%–100%): Suggests weak recovery potential, common in unsecured debt or cases where collateral value has deteriorated significantly.

LGD is not static. It varies by loan type, collateral quality, seniority in the capital structure, and economic conditions. For portfolio-level analysis, LGD should be reviewed alongside PD and EAD.

Common Mistakes When Estimating LGD

• Ignoring recovery costs: Legal fees, administrative expenses, and time delays reduce net recoveries. Using gross recovery amounts overstates recovery and understates LGD.
• Confusing LGD with loss rate: LGD is the loss percentage given default, not the probability-weighted expected loss for a portfolio.
• Using undiscounted values for long-term loans: For loans with long recovery periods, the time value of money significantly impacts the economic loss. This calculator provides a nominal LGD, not a discounted version.
• Overestimating collateral value: Market conditions, legal hurdles, and liquidation discounts often reduce realizable collateral values.

Limitations of This Calculator

• This tool calculates a simple nominal LGD. It does not incorporate discounting for the time value of money.
• It assumes a single recovery amount. In practice, recoveries may occur over multiple periods with varying certainty.
• It does not account for workout costs, legal expenses, or opportunity costs beyond the direct recovery input.
• For regulatory capital calculations under Basel frameworks, more sophisticated LGD models are required, including downturn LGD and maturity adjustments.

Practical Use Cases

• Credit risk assessment: Banks and financial institutions use LGD to price loans, set provisions, and calculate regulatory capital.
• Portfolio stress testing: Analysts apply different LGD scenarios to model potential losses under adverse economic conditions.
• Collateral valuation: LGD analysis helps determine appropriate collateral requirements and loan-to-value ratios.
• Debt recovery planning: Collection teams use LGD estimates to prioritize recovery efforts and evaluate settlement offers.
• Investment analysis: Bond investors assess LGD to estimate potential losses on distressed debt positions.