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Local Volatility (Dupire)×SABR-mudel×
ValdkondKvantitatiivne rahandusKvantitatiivne rahandus
PerekondRegression modelRegression model
Tekkeaasta19942002
LoojaBruno DupirePatrick S. Hagan
TüüpEquity/FX ModelInterest Rate Model
AlgallikasDupire, 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 ↗
RööpnimetusedDeterministic Volatility Function, DVFStochastic Volatility Model
Seotud44
KokkuvõteDupire'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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ScholarGateVõrdle meetodeid: Local Volatility (Dupire) · SABR Model. Loetud 2026-06-17 aadressilt https://scholargate.app/et/compare