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Lokaali volatiliteetti (Dupire)×Riskineutraali arvostus×
TieteenalaKvantitatiivinen rahoitusKvantitatiivinen rahoitus
MenetelmäperheRegression modelRegression model
Syntyvuosi19941979
KehittäjäBruno DupireJohn Harrison and David Kreps
TyyppiEquity/FX ModelFundamental Principle
AlkuperäislähdeDupire, B. (1994). Pricing with a smile. Risk Magazine, 7(1), 18-20. link ↗Harrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408. DOI ↗
RinnakkaisnimetDeterministic Volatility Function, DVFRisk-Neutral Measure, Q-Measure
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.Risk-neutral valuation (1979) is the fundamental principle that derivative prices equal the expected payoff discounted at the risk-free rate, computed under a risk-neutral probability measure (Q-measure). This principle, formalized by Harrison and Kreps, eliminates the need to estimate risk premia and is the foundation of modern derivatives pricing.
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ScholarGateVertaile menetelmiä: Local Volatility (Dupire) · Risk-Neutral Valuation. Haettu 2026-06-18 osoitteesta https://scholargate.app/fi/compare