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Game pricing and double sequence of random variables

Yukio Hirashita
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Abstract

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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Yukio Hirashita. 2007-03-03. Game pricing and double sequence of random variables. https://arxiv.org/abs/math/0703076

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