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द्विपद विकल्प मूल्य निर्धारण (कॉक्स-रॉस-रूबिनस्टीन)×ब्याज दर मॉडल (वासिसेक, सीआईआर, नेल्सन-सीगल)×
क्षेत्रवित्तवित्त
परिवारRegression modelRegression model
उद्भव वर्ष19791977
प्रवर्तकJohn Cox, Stephen Ross & Mark RubinsteinVasicek (1977); Nelson & Siegel (1987)
प्रकारDiscrete-time lattice option-pricing modelTerm-structure / short-rate model
मौलिक स्रोतCox, 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 ↗
उपनामbinomial tree model, Cox-Ross-Rubinstein model, CRR model, lattice option pricingterm structure models, short-rate models, yield curve models, Vasicek model
संबंधित45
सारांशThe 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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