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to as PD-LGD correlation (here PD refers to probability of default, which is often used synonymously with default rate …). There is a large literature on modelling stochastic LGD and PD-LGD correlation, but there is a dearth of literature on using … deviation probabilities across a wide variety of PD-LGD correlation models that have been proposed in the literature. …
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Probability density function (pdf) for (weighted) sum of n correlated lognormal variables is deducted. The method uses joint pdf of multivariate correlated lognormal variables and an extended method of convolution. The formula contains (n-1)-fold integral, which can be evaluated by numerical...
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