Benchmarking the loss given default parameter for mortgage loan portfolios under stress
Christian Greve and
Lutz Hahnenstein
Journal of Credit Risk
Abstract:
ABSTRACT In this paper, we analyze the impact of a decline in property prices that leads to;stressed recovery rates for collateral on the loss given default (LGD) parameter in portfolios of mortgage loans. After discussing the shape of a portfolio's loan-to value;(LTV) distribution, we prove that the average LGD's stress sensitivity depends;on the LTV distribution, and we derive a closed-form solution for portfolio LGD;under the assumption of beta-distributed LTV ratios. Further, we present numerical;evidence that the relationship between LTV distribution and portfolio LGD is crucial;for understanding the stress resilience of banks involved in the mortgage business.;Our formula appears to be a meaningful starting point for benchmarking analyses by;regulators, rating agencies and risk managers.
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Persistent link: https://EconPapers.repec.org/RePEc:rsk:journ1:2474225
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