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Loss given default after default

Published 14 Nov 2025 in q-fin.RM | (2511.11364v1)

Abstract: The proposed work shows how to determine the Loss Given Default (LGD) after default without preparing a separate model. This requires the following: LGD model before default, the calculation of the average repayment time after default, the values of the volumes and moments of repayments after default, along with the lending rate for each loan, and the recovery rate recorded in the default volume. The LGD(t) variant is proposed, which predicts recovery based on the estimation of the average posterior distribution. An analysis is conducted on recovery portfolios, demonstrating the approximate statistics of the desired quantity. The solution allows you to build an LGD model after default for any default loans, provided that you know the volumes, repayment dates, and interest rates.

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