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비선형 ARCH 모형 (NARCH)×확률적 변동성 모형 (헤스톤)×
분야계량경제학재무학
계열Regression modelRegression model
기원 연도19921993
창시자Higgins & BeraSteven L. Heston
유형Volatility modelContinuous-time stochastic volatility model
원전Higgins, M. L., & Bera, A. K. (1992). A class of nonlinear ARCH models. International Economic Review, 33(1), 137-158. DOI ↗Heston, S. L. (1993). A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options. Review of Financial Studies, 6(2), 327-343. DOI ↗
별칭NARCH, Nonlinear ARCH, nonlinear conditional heteroscedasticity model, NARCH modelHeston model, SV model, continuous-time stochastic volatility, Stokastik Volatilite Modeli (Heston, SV)
관련45
요약The Nonlinear ARCH (NARCH) model, introduced by Higgins and Bera (1992), extends Engle's original ARCH framework by allowing the power transformation of volatility to be estimated from the data rather than fixed at two. This flexibility captures a broader class of volatility dynamics observed in financial and macroeconomic time series.The stochastic volatility model is a continuous-time option-pricing and risk framework in which volatility follows its own random process rather than staying constant. The Heston model, introduced by Steven Heston in 1993, gives the variance a mean-reverting square-root (CIR) dynamic and yields a closed-form option price; it is the continuous-time counterpart of GARCH.
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