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Merton Jump-Diffusion Model×Pairs Trading (Statistische Arbitrage)×
VakgebiedFinancieringFinanciering
FamilieRegression modelRegression model
Jaar van ontstaan19762006
GrondleggerRobert C. MertonGatev, Goetzmann & Rouwenhorst (empirical rule); Vidyamurthy (quantitative framing)
TypeContinuous-time asset price model (diffusion plus Poisson jumps)Cointegration-based mean-reversion trading strategy
Oorspronkelijke bronMerton, R. C. (1976). Option Pricing When Underlying Stock Returns Are Discontinuous. Journal of Financial Economics, 3(1–2), 125–144. DOI ↗Gatev, E., Goetzmann, W. N. & Rouwenhorst, K. G. (2006). Pairs Trading: Performance of a Relative-Value Arbitrage Rule. Review of Financial Studies, 19(3), 797–827. DOI ↗
AliassenMerton jump-diffusion, jump-diffusion process, Atlama Difüzyon Modeli (Merton Jump-Diffusion)statistical arbitrage, relative-value arbitrage, mean-reversion pairs strategy, Çift Alım-Satım Stratejisi (Pairs Trading / Statistical Arbitrage)
Verwant45
SamenvattingThe 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.Pairs trading is a quantitative trading strategy that takes a long-short position on two cointegrated assets when the gap (spread) between their prices shows mean reversion. It was popularised as a relative-value arbitrage rule by Gatev, Goetzmann and Rouwenhorst (2006) and framed quantitatively by Vidyamurthy (2004).
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ScholarGateMethoden vergelijken: Jump-Diffusion Model · Pairs Trading. Geraadpleegd op 2026-06-17 via https://scholargate.app/nl/compare