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Representing filtration consistent nonlinear expectations as $g$-expectations in general probability spaces
nonlinear expectations comparison theorem nonlinear Doob-Meyer
2011/3/23
We consider filtration consistent nonlinear expectations in probability spaces satisfying only the usual conditions and separability. Under a domination assumption, we demonstrate that these nonlinear...
Representing filtration consistent nonlinear expectations as $g$-expectations in general probability spaces
nonlinear expectations comparison theorem nonlinear Doob-Meyer
2011/3/23
We consider filtration consistent nonlinear expectations in probability spaces satisfying only the usual conditions and separability. Under a domination assumption, we demonstrate that these nonlinear...
Utility Indifference Pricing: A Time Consistent Approach
Time consistency time inconsistent control incomplete market utility indifference price
2011/3/23
This paper considers the optimal portfolio selection problem in a dynamic multi-period stochastic framework with regime switching. The risk preferences are of exponential (CARA) type with an absolute ...
Consistent Pricing and Hedging of an FX Options Book
foreign exchange options market uncertain Black-Scholes parameters
2009/5/7
In the foreign exchange (FX) options market away-from-the-money options are quite actively traded, and quotes for the same type of instruments are available everyday with very narrow spreads (at leas...
Consistent price systems and face-lifting pricing under transaction costs
Consistent price systems face-lifting pricing transaction costs
2010/12/17
In markets with transaction costs, consistent price systems play the same role as martingale measures in frictionless markets. We prove that if a continuous price process has conditional full support...