Open Access
VOL. 4 | 2008 No Arbitrage and General Semimartingales
Philip Protter, Kazuhiro Shimbo

Editor(s) Stewart N. Ethier, Jin Feng, Richard H. Stockbridge

Inst. Math. Stat. (IMS) Collect., 2008: 267-283 (2008) DOI: 10.1214/074921708000000426

Abstract

No free lunch with vanishing risk (NFLVR) is known to be equivalent to the existence of an equivalent martingale measure for the price process semimartingale. We give necessary conditions for such a semimartingale to have the property NFLVR. We also extend Novikov’s criterion for the stochastic exponential of a local martingale to be a martingale to the general case; that is, the case where the paths need not be continuous.

Information

Published: 1 January 2008
First available in Project Euclid: 28 January 2009

zbMATH: 1179.60022

Digital Object Identifier: 10.1214/074921708000000426

Rights: Copyright © 2008, Institute of Mathematical Statistics

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