# Black Scholes Model

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## Black Scholes Model

A model for mathematically pricing options. The model takes into account the strike price, the time until the expiration date, the price of the underlying asset, and the standard deviation of the underlying asset's return. The model assumes that the option can only be exercised on the expiration date, that it will provide a risk-free return, and that the volatility of the underlying asset will remain constant throughout the life of the contract. The calculation is slightly different for calls and puts. See also: Option Adjusted Spread, Option Pricing Curve.
References in periodicals archive ?
Rial, "A Black-Scholes option pricing model with transaction costs," Journal of Mathematical Analysis and Applications, vol.
Option pricing theory has been an unprecedented development since the classic Black-Scholes option pricing model [1] was proposed.
Wang, "Solution of the fractional Black-Scholes option pricing model by finite difference method," Abstract and Applied Analysis, vol.
By incorporating clear verbiage, clever vignettes and to-the-point explanations complete with interesting historical references, Pricing the Future makes for a fascinating account of not only the Black-Scholes option pricing model, but of modern finance in general.
The Black-Scholes Option Pricing Model is Used by the company to determine the fair value of options.
The Fischer Black Prize is awarded biannually to a financial economist under age 40 for a body of original research that is relevant to finance practice as exemplified by the research of the late Fischer Black, the co-author of the seminal Black-Scholes option pricing model and other highly original contributions.
The excellent appendix that describes the Black-Scholes Option Pricing Model can be found at http://highered.mcgraw-hill.com/sites/dl/free/0073041696 /315960/App_sau4170x_app10.pdf.
It examines volatility and the Black-Scholes option pricing model.
A mathematical extension of this process to a continuous time period with a wider distribution of outcomes is obtained with the Black-Scholes option pricing model. While mathematically complex, the latter model is useful to examine what factors influence option value.
Hammer, 1989, "On Biases Reported in Studies of the Black-Scholes Option Pricing Model", Journal of Economics and Business, 41:153-169

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