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Lokaali volatiliteetti (Dupire)×SABR-malli×
TieteenalaKvantitatiivinen rahoitusKvantitatiivinen rahoitus
MenetelmäperheRegression modelRegression model
Syntyvuosi19942002
KehittäjäBruno DupirePatrick S. Hagan
TyyppiEquity/FX ModelInterest Rate Model
AlkuperäislähdeDupire, B. (1994). Pricing with a smile. Risk Magazine, 7(1), 18-20. link ↗Hagan, P. S., Kumar, D., Lesniewski, A. S., & Woodward, D. E. (2002). Managing smile risk. Wilmott Magazine, 1, 84-108. link ↗
RinnakkaisnimetDeterministic Volatility Function, DVFStochastic Volatility Model
Liittyvät44
TiivistelmäDupire'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 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.
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ScholarGateVertaile menetelmiä: Local Volatility (Dupire) · SABR Model. Haettu 2026-06-17 osoitteesta https://scholargate.app/fi/compare