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Black and Scholes model

   Also found in: Financial 0.01 sec.

Black and Scholes model

First successful model for pricing options. The model was invented by US economists Fischer Black and Myron Scholes in 1973. The original model was applicable to simple put and call options on equities, but its scope has since been expanded to include more complex transactions. The mathematical formula relates the price of an option to five inputs: time to expiration; strike price; value of the option's underlying asset; implied volatility of the underlying asset; and the risk-free rate.



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Figure 1 gives the volatility smile with the Kou model in contrast with the Black and Scholes model where the volatility is constant.
4630 Table 7 Simulation and comparison of the Black and Scholes model and our model for the values of European equity options.
The following Tables provide simulations results regarding our model with incomplete information and the Black and Scholes model.
 
 
 
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