Game pricing and double sequence of random variables

Mathematics – Optimization and Control

Scientific paper

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29 pages

Scientific paper

In this paper, we study a game with positive or plus infinite expectation and
determine the optimal proportion of investment for maximizing the limit
expectation of growth rate per attempt. With this objective, we introduce a new
pricing method in which the price is different from that obtained by the
Black-Scholes formula for a European option.

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