قارن الطرق

	التقلب المحلي (Dupire)	نموذج بيتس
المجال	التمويل الكمي	التمويل الكمي
العائلة	Regression model	Regression model
سنة النشأة	1994	1996
صاحب الطريقة	Bruno Dupire	David S. Bates
النوع	Equity/FX Model	Equity/FX Model
المصدر التأسيسي	Dupire, B. (1994). Pricing with a smile. Risk Magazine, 7(1), 18-20.	Bates, D. S. (1996). Jumps and stochastic volatility: Exchange rate processes implicit in Deutsche Mark options. Review of Financial Studies, 9(1), 69-107.
الأسماء البديلة	Deterministic Volatility Function, DVF	SVJ Model, Jump Diffusion
ذات صلة	4	4
الملخص	Dupire's local volatility model (1994) is a deterministic framework that extracts a term and strike-dependent volatility function from market option prices. Unlike constant volatility, local volatility perfectly fits the observed implied volatility smile and is implemented via finite difference methods for European and American option pricing.	The Bates model (1996) combines stochastic volatility and jump diffusion to capture both the volatility smile and the implied volatility skew observed in equity and currency option markets. It extends the Heston model by adding a Poisson jump component to returns, making it suitable for pricing options when sudden price moves are expected.