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EuropeanTheta.ThetaFromGammaDelta Method
We derive the theta from the delta, gamma and some other market variables for a portfolio of derivative all defined on some underlying asset.
Parameters
- Delta
- The delta with respect to the underlying asset of the portfolio.
- Gamma
- The gamma with respect to the underlying asset of the portfolio.
- AssetPrice
- The underlying assets price.
- RiskFreeRate
- The continuously compounded risk free interest rate.
- Volatility
- The volatility of the underlying assets price.
- TotalValue
- The value of the whole portfolio.
Remarks
Note that for a delta neutral
portfolio of derivatives on an underlying asset this expression relates the gamma and theta
functions.
Excel Remarks
The full name of this function inside Excel is
Option_EuropeanTheta_ThetaFromGammaDelta.
See Also
EuropeanTheta Class | Options Namespace