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二項オプション価格設定 (Cox-Ross-Rubinstein)×金利モデル(ヴァシチェク、CIR、ネルソン・シーゲル)×
分野ファイナンスファイナンス
系統Regression modelRegression model
提唱年19791977
提唱者John Cox, Stephen Ross & Mark RubinsteinVasicek (1977); Nelson & Siegel (1987)
種類Discrete-time lattice option-pricing modelTerm-structure / short-rate model
原典Cox, J. C., Ross, S. A., & Rubinstein, M. (1979). Option pricing: A simplified approach. Journal of Financial Economics, 7(3), 229–263. DOI ↗Vasicek, O. (1977). An Equilibrium Characterization of the Term Structure. Journal of Financial Economics, 5(2), 177–188. DOI ↗
別名binomial tree model, Cox-Ross-Rubinstein model, CRR model, lattice option pricingterm structure models, short-rate models, yield curve models, Vasicek model
関連45
概要The 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.Interest rate models are structural models that describe how interest rates evolve over time within a stochastic differential equation framework. The family covers Vasicek's normal short-rate process (1977), the CIR square-root process, the adjustable Hull-White extension, and the Nelson-Siegel approach to fitting the yield curve (1987).
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ScholarGate手法を比較: Binomial Option Pricing · Interest Rate Models. 2026-06-18に以下より取得 https://scholargate.app/ja/compare