Title of article :
Information, no-arbitrage and completeness for asset price models with a change point
Author/Authors :
Fontana، نويسنده , , Claudio and Grbac، نويسنده , , Zorana and Jeanblanc، نويسنده , , Monique and Li، نويسنده , , Qinghua، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2014
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 , Arbitrage of the first kind , Regime switching , Free lunch with vanishing risk
Journal title :
Stochastic Processes and their Applications
Journal title :
Stochastic Processes and their Applications