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ベイツモデル×局所ボラティリティ (Dupire)×
分野数理ファイナンス数理ファイナンス
系統Regression modelRegression model
提唱年19961994
提唱者David S. BatesBruno Dupire
種類Equity/FX ModelEquity/FX 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. DOI ↗Dupire, B. (1994). Pricing with a smile. Risk Magazine, 7(1), 18-20. link ↗
別名SVJ Model, Jump DiffusionDeterministic Volatility Function, DVF
関連44
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.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.
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ScholarGate手法を比較: Bates Model · Local Volatility (Dupire). 2026-06-17に以下より取得 https://scholargate.app/ja/compare