Abstract
In the next few chapters, we study some efficient numerical methods for the valuation of large basket credit derivatives. While the approaches are presented in the Marshall-Olkin copula model, most of the numerical techniques are generic and could be used with other copulas as well. The methods presented span a large spectrum of applied mathematics: Fourier transforms, changes of probability measure, numerical stable schemes, high-dimensional Sobol integration, recursive convolution algorithms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
T. Bielecki, M. Rutkowski, Credit Risk: Modeling, Valuation and Hedging (Springer, New York, 2002a)
T. Bielecki, M. Rutkowski, Intensity-based valuation of basket credit derivatives, in Mathematical Finance, ed. by J. Yong (World Scientific, Singapore, 2002b), pp. 12–27
D. Duffie, J. Pan, Analytical value-At-Risk with jumps and credit risk. Financ. Stochast. 5, 155–180 (2001)
J.P. Laurent, J. Gregory, Basket default swaps, CDOs and factor copulas. J. Risk 7(4), 103–122 (2005)
F. Lindskog, A. McNeil, Common Poisson Shock models: applications to insurance and credit risk modelling. ASTIN Bullet. 33(2), 209–238 (2003)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 The Author(s)
About this chapter
Cite this chapter
Elouerkhaoui, Y. (2017). Numerical Tools: Basket Expansions. In: Credit Correlation. Applied Quantitative Finance. Palgrave Macmillan, Cham. https://doi.org/10.1007/978-3-319-60973-7_8
Download citation
DOI: https://doi.org/10.1007/978-3-319-60973-7_8
Published:
Publisher Name: Palgrave Macmillan, Cham
Print ISBN: 978-3-319-60972-0
Online ISBN: 978-3-319-60973-7
eBook Packages: Economics and FinanceEconomics and Finance (R0)