विधियों की तुलना करें

	ब्लैक-स्कोल्स-मर्टन ऑप्शन मूल्य निर्धारण मॉडल	मर्टन जंप-डिफ्यूजन मॉडल
क्षेत्र	वित्त	वित्त
परिवार	Regression model	Regression model
उद्भव वर्ष	1973	1976
प्रवर्तक	Fischer Black, Myron Scholes & Robert Merton	Robert C. Merton
प्रकार	Continuous-time option-pricing model	Continuous-time asset price model (diffusion plus Poisson jumps)
मौलिक स्रोत	Black, F., & Scholes, M. (1973). The pricing of options and corporate liabilities. Journal of Political Economy, 81(3), 637–654.	Merton, R. C. (1976). Option Pricing When Underlying Stock Returns Are Discontinuous. Journal of Financial Economics, 3(1–2), 125–144.
उपनाम	Black-Scholes formula, Black-Scholes-Merton model, BSM model, Black-Scholes opsiyon fiyatlama modeli	Merton jump-diffusion, jump-diffusion process, Atlama Difüzyon Modeli (Merton Jump-Diffusion)
संबंधित	4	4
सारांश	The Black-Scholes-Merton model, published by Fischer Black and Myron Scholes in 1973 with the theoretical framework extended by Robert Merton, gives a closed-form no-arbitrage price for European options. By assuming the underlying asset follows geometric Brownian motion with constant volatility, it derives a partial differential equation whose solution expresses the option price in terms of the stock price, strike, time to maturity, risk-free rate, and volatility — transforming option pricing from intuition into a rigorous, tractable formula.	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.