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Modeling of financial markets with inside information in continuous time. (English) Zbl 1237.91245

Summary: We give a survey about the different approaches to model financial markets with inside information in continuous time. In particular, we consider the Karatzas-Pikovsky, Kyle-Back and the weak Kyle-Back approach. These three types of modeling are based on the enlargement of filtration problem, which we explain with some examples and use it for these three modeling approaches.

MSC:

91G80 Financial applications of other theories
91B24 Microeconomic theory (price theory and economic markets)
49J40 Variational inequalities
60G48 Generalizations of martingales
93E20 Optimal stochastic control
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