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arXiv · 0907.0645

An application to credit risk of a hybrid Monte Carlo-Optimal quantization method

Giorgia Callegaro·Abass Sagna
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Abstract

In this paper we use a hybrid Monte Carlo-Optimal quantization method to approximate the conditional survival probabilities of a firm, given a structural model for its credit defaul, under partial information. We consider the case when the firm's value is a non-observable stochastic process $(V_t)_{t \geq 0}$ and inverstors in the market have access to a process $(S_t)_{t \geq 0}$, whose value at each time t is related to $(V_s, s \leq t)$. We are interested in the computation of the conditional survival probabilities of the firm given the "investor information". As a application, we analyse the shape of the credit spread curve for zero coupon bonds in two examples.

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Giorgia Callegaro, Abass Sagna. 2009-07-03. An application to credit risk of a hybrid Monte Carlo-Optimal quantization method. https://arxiv.org/abs/0907.0645

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