LGD Calculator – Loss Given Default

Calculate net recoveries, discounted recoveries, loss amounts, recovery rates, and LGD based on exposure, collateral, costs, and timing. LGD Calculator – Loss Given Default helps lenders, investors, analysts, and risk professionals evaluate credit recovery outcomes.

Highlights

  • Estimate net recoveries from collateral and other proceeds.
  • Apply collateral haircuts to account for market and liquidation risk.
  • Factor in legal, administrative, and recovery-related costs.
  • Discount delayed recoveries using the recovery period and annual rate.
  • Calculate loss amount, recovery rate, and Loss Given Default (LGD).

Table of Contents

  1. How LGD Calculator – Loss Given Default Works?
  2. Practical Use Cases
  3. Accuracy and Limitations
  4. Quick Examples
  5. Frequently Asked Questions (FAQs)
  6. Cite This Calculator

How LGD Calculator – Loss Given Default Works?

The LGD Calculator estimates how much of a debt exposure is lost after accounting for collateral value, collateral risk, additional recovery proceeds, recovery costs, the timing of recoveries, and the annual discount rate.

First, the calculator applies the collateral haircut to estimate the portion of collateral that can realistically be recovered:

Net Collateral Recovery=Collateral Value×1−Collateral Haircut100

It then adds other recovery proceeds and subtracts recovery costs:

Total Net Recovery=Net Collateral Recovery+Other Recovery Proceeds−Recovery Costs

Because recoveries may arrive after default, the calculator discounts the total net recovery to its present value. If t is the recovery period expressed in years and r is the annual discount rate as a decimal, the calculation is:

Discounted Recovery=Total Net Recovery1+rt

The loss amount compares exposure at default with the discounted recovery. LGD and the recovery rate are complementary percentages based on the same exposure:

Loss Amount=Exposure at Default−Discounted Recovery
LGD=Loss AmountExposure at Default×100
Recovery Rate=Discounted RecoveryExposure at Default×100

OutputCalculation meaning
Net Collateral RecoveryCollateral value remaining after the haircut.
Total Net RecoveryNet collateral recovery plus other proceeds, less recovery costs.
Discounted RecoveryPresent value of the total net recovery after considering timing and the annual discount rate.
Loss AmountExposure at default less discounted recovery.
LGDPercentage of exposure not recovered.
Recovery RatePercentage of exposure recovered on a discounted basis.

Practical Use Cases

Lenders can estimate the likely loss on a defaulted loan by combining collateral values, expected proceeds from guarantees or insurance, legal and liquidation costs, and the expected recovery period.

Credit investors can compare recovery assumptions for distressed debt, bonds, or loan portfolios and assess how delayed recoveries affect the present value of an investment.

Credit analysts can perform sensitivity analysis by changing the collateral haircut, recovery costs, discount rate, or exposure at default to evaluate optimistic and conservative recovery scenarios.

Risk professionals can use the LGD and recovery-rate outputs as inputs for credit risk reviews, portfolio monitoring, stress testing, and loss estimation after borrower default.

Workout and restructuring teams can compare proposed settlement proceeds with collateral liquidation outcomes and determine whether recovery costs and timing materially change the expected loss.

Accuracy and Limitations

The calculator is mathematically accurate for the assumptions entered, but its results are only as reliable as the estimated collateral value, haircut, other proceeds, recovery costs, recovery period, and discount rate. It uses a single aggregate recovery amount and a single discount rate, so it does not model multiple recovery cash flows, changing discount rates, taxes, legal priority, seniority, tranche structure, default probability, or uncertainty around collateral liquidation. If discounted recovery exceeds exposure at default, the calculated loss amount and LGD may become negative unless the calculator applies a separate cap.

Quick Examples

Example #1: Secured Corporate Loan

Estimate LGD for a corporate loan supported by collateral and additional recovery proceeds.

Example #2: Unsecured Consumer Debt

Evaluate losses for an unsecured exposure with modest proceeds from settlements and no collateral.

Example #3: Distressed Real Estate Loan

Assess recovery outcomes for a large property-backed loan with a long liquidation timeline and high costs.

Frequently Asked Questions

LGD is the percentage of a lender’s exposure that is not recovered after a borrower defaults. It is typically expressed as a percentage of the exposure at default.

The recovery rate represents the portion of the defaulted exposure that is recovered. LGD is generally the remaining portion, so LGD and recovery rate together equal 100%.

A collateral haircut accounts for potential declines in market value, selling expenses, delays, and uncertainty during liquidation. Higher-risk or less-liquid assets generally require larger haircuts.

Recoveries may come from collateral sales, guarantors, insurance claims, settlements, cash payments, or other sources. Legal, administrative, servicing, and liquidation expenses reduce the amount ultimately recovered.

Recoveries received later are usually worth less in present-value terms because of the time value of money. Longer delays can therefore increase the recognized loss, especially when discount rates are high.

Cite This Calculator