השוואת שיטות
סקרו את השיטות שבחרתם זו לצד זו; שורות שבהן יש הבדל מודגשות.
| מודל תמחור אופציות בינומי (Cox-Ross-Rubinstein)× | מודל הקפיצה-דיפוזיה של מרטון× | |
|---|---|---|
| תחום | מימון | מימון |
| משפחה | Regression model | Regression model |
| שנת המקור≠ | 1979 | 1976 |
| הוגה השיטה≠ | John Cox, Stephen Ross & Mark Rubinstein | Robert C. Merton |
| סוג≠ | Discrete-time lattice option-pricing model | Continuous-time asset price model (diffusion plus Poisson jumps) |
| מקור מכונן≠ | 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 ↗ |
| כינויים≠ | binomial tree model, Cox-Ross-Rubinstein model, CRR model, lattice option pricing | Merton jump-diffusion, jump-diffusion process, Atlama Difüzyon Modeli (Merton Jump-Diffusion) |
| קשורות | 4 | 4 |
| תקציר≠ | 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. |
| ScholarGateמערך נתונים ↗ |
|
|