مقایسهٔ روشها
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| قیمتگذاری اختیار معامله دوجملهای (کاکس-راس-روبینشتاین)× | مدل پرش-انتشار مرتون× | |
|---|---|---|
| حوزه | مالی | مالی |
| خانواده | Regression model | Regression model |
| سال پیدایش≠ | 1979 | 1976 |
| پدیدآور≠ | John Cox, Stephen Ross & Mark Rubinstein | Robert C. Merton |
| نوع≠ | Discrete-time lattice option-pricing model | Continuous-time asset price model (diffusion plus Poisson jumps) |
| منبع بنیادین≠ | Cox, 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 ↗ |
| نامهای دیگر≠ | binomial tree model, Cox-Ross-Rubinstein model, CRR model, lattice option pricing | Merton jump-diffusion, jump-diffusion process, Atlama Difüzyon Modeli (Merton Jump-Diffusion) |
| مرتبط | 4 | 4 |
| خلاصه≠ | 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. | 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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