LGD Calculator - Loss Given Default Risk

Calculate loss given default, discounted recovery, and expected loss from EAD, collateral, timing, and discount rate. Stress recoveries.

Enter exposure at default, cash recovery, optional collateral and recovery rate, months to recovery, and a discount rate to estimate LGD.

LGD Calculator - Loss Given Default Risk
Calculate loss given default, discounted recovery, and expected loss from EAD, collateral, timing, and discount rate. Stress recoveries.

About the LGD Calculator

Loss given default is the share of exposure that a lender or investor expects to lose after a default, once recoveries are collected and discounted. Credit-risk teams, workout desks, and students of expected loss use LGD beside probability of default and exposure at default because expected loss is roughly PD times EAD times LGD. The LGD calculator combines a cash recovery, optional collateral recovery, time to cash, and a discount rate so the loss is stated in present-value terms rather than as an undiscounted hope. Total recovery is the cash recovery amount plus collateral value times the recovery rate. Discounted recovery divides that total by (1 + discount rate) raised to months divided by 12, which is annual compounding with a fractional year. Loss amount is EAD minus discounted recovery. LGD is that loss divided by EAD. The discounted recovery rate is the complement: discounted recovery divided by EAD. If recoveries exceed EAD after discounting, LGD can be negative, which means the present-value recovery more than covers the exposure on these inputs. Use the LGD calculator to compare an unsecured workout with a collateralized loan, to see how a longer liquidation clock raises economic LGD, and to test a higher discount rate when funding costs or workout uncertainty rise. A facility with strong collateral can still show a material LGD if enforcement takes two years and haircuts are large. Basel and internal-ratings models often distinguish downturn LGD from long-run LGD; this page is a single-scenario present-value estimate, not a regulatory capital engine. Collateral value should be the amount you believe can be realized, and the recovery rate the fraction of that value you expect after fees, court costs, and fire-sale discounts. Do not double-count the same cash in both recovery amount and collateral. EAD should match the drawn exposure plus any add-on you use in the credit file. The discount rate is an economic rate, not the contractual loan coupon, unless you deliberately want to discount at the note rate. Legal priority, guarantees, netting, and insurance recoveries can change the picture. The LGD calculator does not apply floors, downturn multipliers, or incomplete-recovery paths used in advanced IRB models. Record the workout timeline and haircut you assumed, then re-run when collateral appraisals or court timing change. For a credit-approval or capital decision, reconcile the result to policy LGD and to counsel on enforceability.

Loss Given Default Examples

These examples discount cash plus collateral recoveries back to today and divide the shortfall by EAD.

ScenarioOutputPlanning note
EAD $100,000, cash recovery $20,000, collateral $50,000 at 80%, 12 months, 5% discount42.86% LGD; $42,857.14 loss; $57,142.86 discounted recovery; 57.14% recovery rateOne year of discounting and an 80 percent collateral haircut leave a mid-40s LGD.
EAD $250,000, cash recovery $0, collateral $200,000 at 70%, 24 months, 6% discount50.16% LGD; $125,400.50 loss; $124,599.50 discounted recovery; 49.84% recovery rateA two-year liquidation and a 70 percent recovery rate push economic LGD near half of EAD.
EAD $50,000, cash recovery $15,000, no collateral, 6 months, 4% discount70.58% LGD; $35,291.29 loss; $14,708.71 discounted recovery; 29.42% recovery rateUnsecured recoveries arriving in six months still leave a high LGD on a small exposure.

How to Calculate Loss Given Default

  1. Enter exposure at default for the facility or issuer you are stressing.
  2. Add expected cash recovery and, if relevant, collateral value and recovery rate.
  3. Enter months until recovery and an annual discount rate, or leave the rate blank for zero.
  4. Calculate discounted recovery, loss amount, LGD, and the discounted recovery rate.
  5. Lengthen the timeline or raise the haircut to see how workout delay changes LGD.

LGD Calculator FAQ

Is LGD the same as 1 minus recovery rate?
On an undiscounted basis, yes. The LGD calculator discounts recoveries, so LGD is 1 minus the discounted recovery rate, which is higher than a raw recovery ratio whenever time and the discount rate are positive.
What if I have no collateral?
Leave collateral value and recovery rate blank. They are treated as zero, and only the cash recovery amount is discounted.
Which discount rate should I use?
A funding rate, hurdle rate, or workout-risk premium is common. Using zero treats delayed recoveries as equal to cash today and understates economic LGD when liquidation is slow.
Can LGD exceed 100 percent?
Yes, if discounted recovery is negative or if you enter recoveries below costs implied by a negative net recovery. With non-negative inputs, LGD stays at or below 100 percent plus any discounting of zero recovery.
Does this match Basel LGD?
No. Supervisory LGD uses specified floors, downturn adjustments, and default definitions. Use the LGD calculator for a transparent present-value scenario, then map it to policy if required.