No-free-lunch equivalences for exponential Lévy models under convex constraints on investment

Kardaras, Constantinos ORCID: 0000-0001-6903-4506 (2009) No-free-lunch equivalences for exponential Lévy models under convex constraints on investment. Mathematical Finance, 19 (2). pp. 161-187. ISSN 0960-1627

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Abstract

We provide equivalence of numerous no-free-lunch type conditions for financial markets where the asset prices are modeled as exponential Lévy processes, under possible convex constraints in the use of investment strategies. The general message is the following: if any kind of free lunch exists in these models it has to be of the most egregious type, generating an increasing wealth. Furthermore, we connect the previous to the existence of the numéraire portfolio, both for its particular expositional clarity in exponential Lévy models and as a first step in obtaining analogues of the no-free-lunch equivalences in general semimartingale models, a task that is taken on in Karatzas and Kardaras (2007).

Item Type:	Article
Official URL:	http://onlinelibrary.wiley.com/journal/10.1111/(IS...
Additional Information:	© The Author. Journal Compilation © 2009 Wiley Periodicals, Inc.
Divisions:	LSE
Date Deposited:	04 Dec 2017 09:41
Last Modified:	03 Apr 2024 07:27
URI:	http://eprints.lse.ac.uk/id/eprint/85931

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