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On computation of arbitrage for markets with friction

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

Abstract

We are interested in computation of locating arbitrage in nancial markets with frictions. We consider a model with a nite number of nancial assets and a nite number of possible states of nature. We derive a negative result on computational complexity of arbitrage in the case when securities are traded in integer numbers of shares and with a maximum amount of shares that can be bought for a xed price (as in reality). When these conditions are relaxed, we show that polynomial time algorithms can be obtained by applying linear programming techniques. We also establish the equivalence for no-arbitrage condition & optimal consumption portfolio. © Springer-Verlag Berlin Heidelberg 2000.
Original languageEnglish
Title of host publicationComputing and Combinatorics - 6th Annual International Conference, COCOON 2000, Proceedings
PublisherSpringer Verlag
Pages310-319
Volume1858
ISBN (Print)3540677879, 9783540677871
DOIs
Publication statusPublished - 2000
Event6th Annual International Conference on Computing and Combinatorics, COCOON 2000 - Sydney, Australia
Duration: 26 Jul 2000 → 28 Jul 2000

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1858
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference6th Annual International Conference on Computing and Combinatorics, COCOON 2000
PlaceAustralia
CitySydney
Period26/07/00 → 28/07/00

Bibliographical note

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