Open Access
April 2009 No arbitrage without semimartingales
Robert A. Jarrow, Philip Protter, Hasanjan Sayit
Ann. Appl. Probab. 19(2): 596-616 (April 2009). DOI: 10.1214/08-AAP554

Abstract

We show that with suitable restrictions on allowable trading strategies, one has no arbitrage in settings where the traditional theory would admit arbitrage possibilities. In particular, price processes that are not semimartingales are possible in our setting, for example, fractional Brownian motion.

Citation

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Robert A. Jarrow. Philip Protter. Hasanjan Sayit. "No arbitrage without semimartingales." Ann. Appl. Probab. 19 (2) 596 - 616, April 2009. https://doi.org/10.1214/08-AAP554

Information

Published: April 2009
First available in Project Euclid: 7 May 2009

zbMATH: 1172.60027
MathSciNet: MR2521881
Digital Object Identifier: 10.1214/08-AAP554

Subjects:
Primary: 60G15 , 60K30 , 91B28

Keywords: Arbitrage , fractional Brownian motion , simple trading strategies , Time change

Rights: Copyright © 2009 Institute of Mathematical Statistics

Vol.19 • No. 2 • April 2009
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