Price European call options using the Variance Gamma (VG) model. The VG model is a pure jump process (no continuous diffusion) that effectively captures the leptokurtic (fat-tailed) and skewed nature of asset returns. It’s computationally efficient and provides excellent fits to market option prices, making it popular for equity and FX derivatives.
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Current stock price
Strike price
Time to maturity in years
Risk-free rate
VG volatility parameter (controls overall volatility level)
VG drift/skewness parameter. Negative = left skew (typical for equities). Typical: -0.2 to 0
VG kurtosis parameter (controls tail heaviness). Higher = fatter tails. Typical: 0.1-0.5
Dividend yield