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Модели на лихвените проценти (Васичек, CIR, Нелсън-Сийгъл)×Модел на скоково-дифузионно движение на Мертън×
ОбластФинансиФинанси
СемействоRegression modelRegression model
Година на възникване19771976
СъздателVasicek (1977); Nelson & Siegel (1987)Robert C. Merton
ТипTerm-structure / short-rate modelContinuous-time asset price model (diffusion plus Poisson jumps)
Основополагащ източникVasicek, O. (1977). An Equilibrium Characterization of the Term Structure. Journal of Financial Economics, 5(2), 177–188. DOI ↗Merton, R. C. (1976). Option Pricing When Underlying Stock Returns Are Discontinuous. Journal of Financial Economics, 3(1–2), 125–144. DOI ↗
Други названияterm structure models, short-rate models, yield curve models, Vasicek modelMerton jump-diffusion, jump-diffusion process, Atlama Difüzyon Modeli (Merton Jump-Diffusion)
Свързани54
РезюмеInterest rate models are structural models that describe how interest rates evolve over time within a stochastic differential equation framework. The family covers Vasicek's normal short-rate process (1977), the CIR square-root process, the adjustable Hull-White extension, and the Nelson-Siegel approach to fitting the yield curve (1987).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.
ScholarGateНабор от данни
  1. v1
  2. 2 Източници
  3. PUBLISHED
  1. v1
  2. 1 Източници
  3. PUBLISHED

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ScholarGateСравнение на методи: Interest Rate Models · Jump-Diffusion Model. Извлечено на 2026-06-17 от https://scholargate.app/bg/compare