Regular admissible wealth processes are necessarily of Black-Scholes type

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ID: 30661
2014
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Abstract
We show that for a complete market where the stock price uncertainty is driven by a Brownian motion, there exists only one admissible wealth process which is a regular deterministic function of the time and the stock price. In particular, if the stock price is modeled by geometric Brownian motion then the Black-Scholes process is the only regular admissible wealth process.
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Authors Grow, David;Rohmeder, Dirk;Sanyal, Suman;
Journal new trends in mathematical sciences
Year 2014
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