Information, no-arbitrage and completeness for asset price models with a change point

Claudio Fontana, Zorana Grbac, Monique Jeanblanc and Qinghua Li

Papers from arXiv.org

Abstract: We consider a general class of continuous asset price models where the drift and the volatility functions, as well as the driving Brownian motions, change at a random time $\tau$. Under minimal assumptions on the random time and on the driving Brownian motions, we study the behavior of the model in all the filtrations which naturally arise in this setting, establishing martingale representation results and characterizing the validity of the NA1 and NFLVR no-arbitrage conditions.

Date: 2013-04, Revised 2014-04
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Citations: View citations in EconPapers (3)

Published in Stochastic Processes and their Applications, 2014, 124, 3009-3030

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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1304.0923

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