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Binoomiline optsioonihinna määramine (Cox-Ross-Rubinstein)×Hestoni stohhastilise muutlikkuse mudel×
ValdkondRahandusRahandus
PerekondRegression modelRegression model
Tekkeaasta19791993
LoojaJohn Cox, Stephen Ross & Mark RubinsteinSteven L. Heston
TüüpDiscrete-time lattice option-pricing modelContinuous-time stochastic volatility model
AlgallikasCox, J. C., Ross, S. A., & Rubinstein, M. (1979). Option pricing: A simplified approach. Journal of Financial Economics, 7(3), 229–263. DOI ↗Heston, S. L. (1993). A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options. Review of Financial Studies, 6(2), 327-343. DOI ↗
Rööpnimetusedbinomial tree model, Cox-Ross-Rubinstein model, CRR model, lattice option pricingHeston model, SV model, continuous-time stochastic volatility, Stokastik Volatilite Modeli (Heston, SV)
Seotud45
KokkuvõteThe binomial option pricing model, introduced by John Cox, Stephen Ross, and Mark Rubinstein in 1979, prices options by modelling the underlying as a discrete tree in which the price moves up or down by fixed factors at each step. Working backward from the option's payoff at maturity using risk-neutral probabilities, it produces a no-arbitrage price that converges to Black-Scholes as the number of steps grows — while naturally handling American early exercise, which the closed-form formula cannot.The stochastic volatility model is a continuous-time option-pricing and risk framework in which volatility follows its own random process rather than staying constant. The Heston model, introduced by Steven Heston in 1993, gives the variance a mean-reverting square-root (CIR) dynamic and yields a closed-form option price; it is the continuous-time counterpart of GARCH.
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ScholarGateVõrdle meetodeid: Binomial Option Pricing · Stochastic Volatility Model. Loetud 2026-06-17 aadressilt https://scholargate.app/et/compare