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Black-Scholes-Merton Optionspreismodell×Merton Sprung-Diffusions-Modell×
FachgebietFinanzwirtschaftFinanzwirtschaft
FamilieRegression modelRegression model
Entstehungsjahr19731976
UrheberFischer Black, Myron Scholes & Robert MertonRobert C. Merton
TypContinuous-time option-pricing modelContinuous-time asset price model (diffusion plus Poisson jumps)
Wegweisende QuelleBlack, F., & Scholes, M. (1973). The pricing of options and corporate liabilities. Journal of Political Economy, 81(3), 637–654. DOI ↗Merton, R. C. (1976). Option Pricing When Underlying Stock Returns Are Discontinuous. Journal of Financial Economics, 3(1–2), 125–144. DOI ↗
AliasnamenBlack-Scholes formula, Black-Scholes-Merton model, BSM model, Black-Scholes opsiyon fiyatlama modeliMerton jump-diffusion, jump-diffusion process, Atlama Difüzyon Modeli (Merton Jump-Diffusion)
Verwandt44
ZusammenfassungThe 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.
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ScholarGateMethoden vergleichen: Black-Scholes Model · Jump-Diffusion Model. Abgerufen am 2026-06-17 von https://scholargate.app/de/compare