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

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.
Keywords :
Document type :
Preprints, Working Papers, ...
22 pages. 2009
Domain :

https://hal.archives-ouvertes.fr/hal-00400666
Contributor : Abass Sagna <>
Submitted on : Friday, July 3, 2009 - 4:22:09 PM
Last modification on : Monday, May 29, 2017 - 2:21:30 PM
Document(s) archivé(s) le : Tuesday, June 15, 2010 - 7:13:26 PM

### Files

SurProbaHybJCF.pdf
Files produced by the author(s)

### Identifiers

• HAL Id : hal-00400666, version 1
• ARXIV : 0907.0645

### Citation

Giorgia Callegaro, Abass Sagna. An application to credit risk of a hybrid Monte Carlo-Optimal quantization method. 22 pages. 2009. <hal-00400666>

Record views