# Hybrid Monte Carlo methods in credit risk management

@article{Chicca2014HybridMC, title={Hybrid Monte Carlo methods in credit risk management}, author={Lucia Del Chicca and Gerhard Larcher}, journal={Monte Carlo Methods and Applications}, year={2014}, volume={20}, pages={245 - 260} }

Abstract In this paper we analyze and compare the use of Monte Carlo, quasi-Monte Carlo and hybrid Monte Carlo methods in the credit risk management system “Credit Metrics” by J. P. Morgan. We show that hybrid sequences, used suitably for simulations, perform better, in many relevant situations, than pure Monte Carlo and pure quasi-Monte Carlo methods, and they only rarely perform worse than these methods.

## 2 Citations

### On Hybrid Point Sets Stemming from Halton-Type Hammersley Point Sets and Polynomial Lattice Point Sets

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- 2020

Finite hybrid point sets whose components stem from Halton-type Hammersley Point sets and lattice point sets which are constructed using the arithmetic of the ring of polynomials and the field of rational functions over a finite field are considered.

### Desarrollo de un Modelo de Gestión de Riesgos Operacionales basado en las Directrices del Comité de Basilea

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## References

SHOWING 1-10 OF 17 REFERENCES

### Applications of a Hybrid-Monte Carlo Sequence to Option Pricing

- Physics
- 2000

The advantages of quasi-Monte Carlo methods diminish, mainly due to practical constraints, as the dimension of the problem grows, and several methods have been proposed to provide remedies for the difficulties faced in high dimensional quasi-monte Carlo simulation.

### Random number generation and Quasi-Monte Carlo methods

- Computer Science, MathematicsCBMS-NSF regional conference series in applied mathematics
- 1992

This chapter discusses Monte Carlo methods and Quasi-Monte Carlo methods for optimization, which are used for numerical integration, and their applications in random numbers and pseudorandom numbers.

### Quasi-Monte Carlo Methods for Particle Transport Problems

- Physics
- 1995

This paper outlines several ideas for achieving predictable gains over the use of pseudorandom Monte Carlo in particle transport problems and presents the results of “model” problem analyses and numerical tests of these ideas.

### Digital Nets and Sequences: Discrepancy Theory and Quasi-Monte Carlo Integration

- Computer Science
- 2010

This comprehensive treatment of contemporary quasi-Monte Carlo methods, digital nets and sequences, and discrepancy theory starts from scratch with detailed explanations of the basic concepts and then advances to current methods used in research.

### A DISCREPANCY BOUND FOR HYBRID SEQUENCES INVOLVING DIGITAL EXPLICIT INVERSIVE PSEUDORANDOM NUMBERS

- Mathematics
- 2010

We consider hybrid sequences, that is, sequences in a multidi- mensional unit cube that are composed from low-discrepancy sequences and se- quences of pseudorandom numbers. We establish the first…

### Quasi-Monte Carlo Image Synthesis in a Nutshell

- Computer Science
- 2013

This self-contained tutorial surveys the state of the art in quasi-Monte Carlo rendering algorithms as used for image synthesis in the product design and movie industry and explains techniques to generate light transport paths to connect cameras and light sources.

### Further discrepancy bounds and an Erdös–Turán–Koksma inequality for hybrid sequences

- Mathematics
- 2010

We consider hybrid sequences, that is, sequences in a multidimensional unit cube that are composed from lower-dimensional sequences of two different types. We establish nontrivial deterministic…

### A GENERAL DISCREPANCY BOUND FOR HYBRID SEQUENCES INVOLVING HALTON SEQUENCES

- Computer Science
- 2013

A general discrepancy bound is provided for hybrid sequences that are built from Halton sequences and sequences of pseudorandom numbers, and this bound is applied to two further examples that are related to recursive generators and were not considered so far.

### CreditMetricsTM-Technical Document. New York

- 1997

### CreditMetricsTM – Technical Document

- New York
- 1997