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Lotto Number Generator

This lotto numbers generator allows you to choose your own number set. Two scroll bars are available - one controls the number of lotto numbers (ex: 6) and the other controls the number of population (ex: 54). This program demonstrates "sampling without replacement".


Normal Distribution Random Number Generator

This random numbers generator populates random numbers from a normal probability distribution. Histograms are also generated for each of the generated distributions based on the parameters. It is a demonstration of statistical simulation.


European Option Pricing Models With Greeks

This option pricing calculator builds financial functions using the Black-Scholes option model. Option "greeks" are produced. It is a demonstration of customized functions.


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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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