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Generalized Black & Scholes option pricing

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Generalized Black & Scholes option pricing equation

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These equations are used for pricing European call options and put options on stocks, futures and currencies. These equations are known as the generalized Black & Scholes model. Three well known models are special cased of this equation (hence the term 'generalized'):
  • Y=r Black & Scholes model for options on stock
  • Y=0 Black model for options on futures
  • Y=r-rf Garman Colhagen for options on currencies

List of symbols

C Price of the call option
P Price of the put option
S Present value of the underlying asset
Y Yield of the underlying asset. Y=r for stock, Y=0 for futures
Volatility of the underlying asset
r Continuous compounded interest rate
T Time till expiration
K Strike (excercise) price
Cumulative normal distribution
Natural logarithm (base e)

Related Equations

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All text and equations on this page are freely available under the terms of the GNU Free Documentation License

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