Hiding a Constant Drift—a Strong Solution
نویسندگان
چکیده
Let B be a Brownian motion. We show that there is a process H predictable in the natural filtration of B, such that H ·S is a Brownian motion in its own filtration, where St =Bt+t. In other words, H hides the constant drift. This gives a positive answer to a question posed by Marc Yor.
منابع مشابه
Hiding a constant drift
The following question is due to Marc Yor: Let B be a Brownian motion and St = t+Bt. Can we define an F-predictable process H such that the resulting stochastic integral (H ·S) is a Brownian motion (without drift) in its own filtration, i.e. an F(H·S)-Brownian motion? In this paper we show that by dropping the requirement of F-predictability of H we can give a positive answer to this question. ...
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