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The loss given default of a low-default portfolio with weak contagion

机译:具有弱传染性的低违约组合的违约损失

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In this paper we study the loss given default (LGD) of a low default portfolio (LDP), assuming that there is weak credit contagion among the obligors. We characterize the credit contagion by a Sarmanov dependence structure of the risk factors that drive the obligors' default, where the risk factors are assumed to be heavy tailed. From a new perspective of asymptotic analysis, we derive a limiting distribution for the LGD. As a consequence, an approximation for the entire distribution, in contrast to just the tail behavior, of the LGD is obtained. We show numerical examples to demonstrate the limiting distribution. We also discuss possible applications of the limiting distribution to the calculation of moments and the Value at Risk (VaR) of the LGD. (C) 2015 Elsevier B.V. All rights reserved.
机译:在本文中,假设债务人之间的信用传染力较弱,我们研究低违约组合(LDP)的违约损失(LGD)。我们通过驱动债务人违约的风险因素的Sarmanov依赖结构来表征信贷危机的蔓延,在该结构中,风险因素被假定为重罪。从渐近分析的新观点,我们得出了LGD的极限分布。结果,与仅尾部行为相反,获得了整个分布的近似值。我们显示了数值示例来证明极限分布。我们还将讨论极限分布在矩量和LGD风险值(VaR)计算中的可能应用。 (C)2015 Elsevier B.V.保留所有权利。

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