NDLI: Design of Financial CDO Squared Transactions Using Constraint Programming

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Design of Financial CDO Squared Transactions Using Constraint Programming

Content Provider	Springer Nature Link
Author	Flener, Pierre Pearson, Justin Reyna, Luis G. Sivertsson, Olof
Copyright Year	2007
Abstract	We give an approximate and often extremely fast method of building a particular kind of portfolio in finance, here called a portfolio design (PD), with applications in the credit derivatives market, for example when designing collateralised debt obligations squared (CDO2) transactions. A PD generalises a balanced incomplete block design (BIBD) and is usually harder to build. Worse, typical financial PDs are an order of magnitude larger than the largest BIBDs built so far by constraint programs, and in practice an optimisation version of the problem of building PDs has to be solved. Our method is based on embedding small designs, whose determination is itself a constraint satisfaction problem, into the original large design. Together with the detection of when a PD might be a BIBD, symmetry breaking, extended reuse of previously built PDs, and admissibility checking during search, the performance of the method becomes good enough for designing (near-)optimal CDO2 transactions, with sizes common in the credit derivatives market, within minutes. For example, we optimally build a typical financial PD, which has over 10746 symmetries, in just a few minutes. The high quality of our approximate designs can be assessed by comparison with a lower bound on the optimum. Our designs sufficiently improve the currently best ones so as often to make the difference between having and not having a feasible CDO2 transaction due to investor and rating-agency constraints.
Starting Page	179
Ending Page	205
Page Count	27
File Format	PDF
ISSN	13837133
Journal	Constraints
Volume Number	12
Issue Number	2
e-ISSN	15729354
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2007-01-12
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Financial mathematics Credit derivatives Collateralised debt obligation (CDO) CDO squared Portfolio design (PD) Optimal portfolio design (OPD) Balanced incomplete block design (BIBD) Constraint programming Embedding Operations Research/Decision Theory Computing Methodologies Optimization Artificial Intelligence (incl. Robotics)
Content Type	Text
Resource Type	Article
Subject	Discrete Mathematics and Combinatorics Artificial Intelligence Computational Theory and Mathematics Software

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