Modeling option price dynamics

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United States of America Patent

PATENT NO 7065475
SERIAL NO

09702423

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Abstract

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This invention presents a method for pricing an option. The steps for this method include configuring a general option pricing model with parameters to conform the model to a market behavior of an underlying asset. A price for an option is then calculated using the model. The configured model can be calibrated to implied volatility data describing the current state of the market. The underlying asset can include commodity prices, interest rates, and currency exchange rates. More than one general option pricing models can be used to price the option. Additionally, correlations between the general option pricing models can be included in the calculation. The configuring of the parameters can be done through the formula:.function..times..function..times..times..times..function..ti-mes..function..times..sigma..function..times..function. ##EQU00001## wherein F(t, T) represents the value of the underlying asset and dF(t, T) represents a change in the value of the underlying asset; a represents randomness factors; i represents an amount of mean reversion factors used in the model; t represents the current time; T represents the forward time; y.sub.ia represents the move shape coefficient; B.sub.i(t, T) represents the mean reversion factor; g.sub.i(T) represents the volatility adjustment factor; .sigma..sub.a(t) represents the instantaneous factor volatility; and dz.sub.a(t) represents the random increment.

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Patent Owner(s)

Patent OwnerAddress
GOLDMAN SACHS & CO LLC200 WEST STREET NEW YORK NY 10282

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Inventor(s)

Inventor Name Address # of filed Patents Total Citations
Brundobler, Stefan New York, NY 1 79

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