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Consistent Price Systems in Multiasset Markets
Joint Authors
Source
International Journal of Stochastic Analysis
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-27
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Let Xt be any d-dimensional continuous process that takes values in an open connected domain ? in ℝd.
In this paper, we give equivalent formulations of the conditional full support (CFS) property of Xt in ?.
We use them to show that the CFS property of X in ? implies the existence of a martingale M under an equivalent probability measure such that M lies in the ϵ>0 neighborhood of Xt for any given ϵ under the supremum norm.
The existence of such martingales, which are called consistent price systems (CPSs), has relevance with absence of arbitrage and hedging problems in markets with proportional transaction costs as discussed in the recent paper by Guasoni et al.
(2008), where the CFS property is introduced and shown sufficient for CPSs for processes with certain state space.
The current paper extends the results in the work of Guasoni et al.
(2008), to processes with more general state space.
American Psychological Association (APA)
Maris, Florian& Sayit, Hasanjan. 2012. Consistent Price Systems in Multiasset Markets. International Journal of Stochastic Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-490639
Modern Language Association (MLA)
Maris, Florian& Sayit, Hasanjan. Consistent Price Systems in Multiasset Markets. International Journal of Stochastic Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-490639
American Medical Association (AMA)
Maris, Florian& Sayit, Hasanjan. Consistent Price Systems in Multiasset Markets. International Journal of Stochastic Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-490639
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490639