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This paper concerns the pricing of American options with stochastic stopping time constraints expressed in terms of the states of a Markov process. Following the ideas of Menaldi, Robin and Sun [21] we transform the constrained into an unconstrained optimal stopping problem. The transformation...
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We introduce an adaptive importance sampling method for the loss distribution of credit portfolios based on the Robbins-Monro stochastic approximation procedure. After presenting the subtle construction of the algorithm, we apply our adaptive scheme for calculating the risk figures of a typical...
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We introduce new quantile estimators with adaptive importance sampling. The adaptive estimators are based on weighted samples that are neither independent nor identically distributed. Using the law of iterated logarithm for martingales, we prove the convergence of the adaptive quantile...
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We propose a simple and implementable model of credit contagion where we include macro- and microstructural dependencies among the debtors within a credit portfolio. We show that, even for diversified portfolios, moderate microstructural dependencies already have a significant impact on the...
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International evidence on the accrual anomaly is sparse and conflicting. Testing for accrual mispricing in 28 equity markets, we provide statistical evidence for anomalous returns in some countries. However, we question whether this result might have occurred by chance alone and that it might...
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