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

Claudio Fontana, Zorana Grbac, Monique Jeanblanc and Qinghua Li

Stochastic Processes and their Applications, 2014, vol. 124, issue 9, 3009-3030

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 τ. 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.

Keywords: Enlargement of filtration; Martingale representation; Random time; Change point; Regime switching; Arbitrage of the first kind; Free lunch with vanishing risk (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:124:y:2014:i:9:p:3009-3030

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DOI: 10.1016/j.spa.2014.04.010

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