Robust fundamental theorem for continuous processes

Biagini, Sara, Bouchard, Bruno, Kardaras, Constantinos ORCID: 0000-0001-6903-4506 and Nutz, Marcel (2017) Robust fundamental theorem for continuous processes. Mathematical Finance, 27 (4). pp. 963-987. ISSN 0960-1627

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Abstract

We study a continuous-time financial market with continuous price processes under model uncertainty, modeled via a family inline image of possible physical measures. A robust notion inline image of no-arbitrage of the first kind is introduced; it postulates that a nonnegative, nonvanishing claim cannot be superhedged for free by using simple trading strategies. Our first main result is a version of the fundamental theorem of asset pricing: inline image holds if and only if every inline image admits a martingale measure that is equivalent up to a certain lifetime. The second main result provides the existence of optimal superhedging strategies for general contingent claims and a representation of the superhedging price in terms of martingale measures.

Item Type:	Article
Official URL:	http://onlinelibrary.wiley.com/journal/10.1111/(IS...
Additional Information:	© 2015 Wiley
Divisions:	Statistics
Subjects:	H Social Sciences > HA Statistics
Date Deposited:	14 Jan 2016 12:56
Last Modified:	12 Dec 2024 01:20
Projects:	DMS-1208985, DMS-151290
Funders:	National Science Foundation
URI:	http://eprints.lse.ac.uk/id/eprint/64976

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