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이항 옵션 가격 결정 모형 (Cox-Ross-Rubinstein)×Merton Jump-Diffusion Model×
분야재무학재무학
계열Regression modelRegression model
기원 연도19791976
창시자John Cox, Stephen Ross & Mark RubinsteinRobert C. Merton
유형Discrete-time lattice option-pricing modelContinuous-time asset price model (diffusion plus Poisson jumps)
원전Cox, J. C., Ross, S. A., & Rubinstein, M. (1979). Option pricing: A simplified approach. Journal of Financial Economics, 7(3), 229–263. DOI ↗Merton, R. C. (1976). Option Pricing When Underlying Stock Returns Are Discontinuous. Journal of Financial Economics, 3(1–2), 125–144. DOI ↗
별칭binomial tree model, Cox-Ross-Rubinstein model, CRR model, lattice option pricingMerton jump-diffusion, jump-diffusion process, Atlama Difüzyon Modeli (Merton Jump-Diffusion)
관련44
요약The 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 Merton Jump-Diffusion model, introduced by Robert C. Merton in 1976, extends Geometric Brownian Motion by adding sudden price jumps generated by a Poisson process. It captures the volatility smile and the fat-tailed return behaviour that standard Black-Scholes cannot explain, and is widely used in option pricing and risk management.
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