Article Dans Une Revue Stochastic Processes and their Applications Année : 2014

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

Résumé

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.

Dates et versions

hal-01107819 , version 1 (21-01-2015)

Identifiants

Citer

C. Fontana, M. Jeanblanc, Z. Grbac, Q. Li. Information, no-arbitrage and completeness for asset price models with a change point. Stochastic Processes and their Applications, 2014, 124 (9), pp.3009-3030. ⟨10.1016/j.spa.2014.04.010⟩. ⟨hal-01107819⟩
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