A paradox of diffusion market model related with existence of winning combinations of options
Abstract
We consider strategies of investments into options and diffusion market model. It is shown that there exists a correct proportion between "put" and "call" in the portfolio such that the average gain is almost always positive for a generic Black and Scholes model. This gain is zero if and only if the market price of risk is zero. It is discussed a paradox related to the corresponding loss of option's seller.
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