手法を比較

	ベイツモデル	SABRモデル
分野	数理ファイナンス	数理ファイナンス
系統	Regression model	Regression model
提唱年	1996	2002
提唱者	David S. Bates	Patrick S. Hagan
種類	Equity/FX Model	Interest Rate Model
原典	Bates, D. S. (1996). Jumps and stochastic volatility: Exchange rate processes implicit in Deutsche Mark options. Review of Financial Studies, 9(1), 69-107.	Hagan, P. S., Kumar, D., Lesniewski, A. S., & Woodward, D. E. (2002). Managing smile risk. Wilmott Magazine, 1, 84-108.
別名	SVJ Model, Jump Diffusion	Stochastic Volatility Model
関連	4	4
概要	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.	The SABR (Stochastic Alpha-Beta-Rho) model is a stochastic volatility framework introduced by Hagan et al. in 2002 for valuing interest rate derivatives. It captures the smile effect in implied volatility through correlated Brownian motions and has become industry standard for swaption and caplet pricing.