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Black-Scholes Option Pricing Model

The Black-Scholes model is a mathematical model of the market for an equity, in which the equity's price is a stochastic process. Its PDE is an equation which (in the model) the price of a derivative on the equity must satisfy. The Black–Scholes formula is the result obtained by applying the Black-Scholes PDE to European put and call options. The formula was derived by Fischer Black and Myron Scholes and published in 1973. They built on earlier research by Edward O. Thorp, Paul Samuelson, and Robert C. Merton. The fundamental insight of Black and Scholes is that the option is implicitly priced if the stock is traded.
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