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Regression modelJump-Diffusion

Bates-modellen

Bates-modellen (1996) kombinerer stokastisk volatilitet og jump diffusion for at indfange både volatilitets-smile og den implicitte volatilitets-skew, der observeres i aktie- og valutoptionsmarkeder. Den udvider Heston-modellen ved at tilføje en Poisson-jump-komponent til afkast, hvilket gør den egnet til prisfastsættelse af optioner, når pludselige prisbevægelser forventes.

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Kilder

  1. Bates, D. S. (1996). Jumps and stochastic volatility: Exchange rate processes implicit in Deutsche Mark options. Review of Financial Studies, 9(1), 69-107. DOI: 10.1093/rfs/9.1.69
  2. Merton, R. C. (1976). Option pricing when underlying stock returns are discontinuous. Journal of Financial Economics, 3(1-2), 125-144. DOI: 10.1016/0304-405X(76)90022-2

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ScholarGate. (2026, June 3). Bates Stochastic Volatility Jump Diffusion Model. ScholarGate. https://scholargate.app/da/quantitative-finance/bates-model

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ScholarGateBates Model (Bates Stochastic Volatility Jump Diffusion Model). Hentet 2026-06-15 fra https://scholargate.app/da/quantitative-finance/bates-model · Datasæt: https://doi.org/10.5281/zenodo.20539026