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Black-Scholes without stochastics or PDEs

Richard J. Martin

Papers from arXiv.org

Abstract: We show how to derive the Black-Scholes model and its generalisation to the `exchange-option' (to exchange one asset for another) via the continuum limit of the Binomial tree. No knowledge of stochastic calculus or partial differential equations is assumed, as we do not use them.

Date: 2023-01, Revised 2023-04
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