• Title/Summary/Keyword: Bilinear GARCH

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News Impact Curves of Volatility for Asymmetric GARCH via LASSO (LASSO를 이용한 비대칭 GARCH 모형의 변동성 커브)

  • Yoon, J.E.;Lee, J.W.;Hwang, S.Y.
    • The Korean Journal of Applied Statistics
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    • v.27 no.1
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    • pp.159-168
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    • 2014
  • The news impact curve(NIC) originally proposed by Engle and Ng (1993) is a graphical representation of volatility for financial time series. The NIC is a simple but a powerful tool for identifying variability of a given time series. It is noted that the NIC is suited to symmetric volatility. Recently a lot of attention has been paid to asymmetric volatility models and therefore asymmetric version of the NIC would be useful in the field of financial time series. In this article, we propose to incorporate LASSO in constructing asymmetric NICs based on asymmetric GARCH models. In particular, bilinear GARCH models are considered and illustrated via KOSDAQ data.

Quadratic GARCH Models: Introduction and Applications (이차형식 변동성 Q-GARCH 모형의 비교연구)

  • Park, Jin-A;Choi, Moon-Sun;Hwan, Sun-Young
    • The Korean Journal of Applied Statistics
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    • v.24 no.1
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    • pp.61-69
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    • 2011
  • In GARCH context, the conditional variance (or volatility) is of a quadratic function of the observation process. Examine standard ARCH/GARCH and their variant models in terms of quadratic formulations and it is interesting to note that most models in GARCH context have contained neither the first order term nor the interaction term. In this paper, we consider three models possessing the first order and/or interaction terms in the formulation of conditional variances, viz., quadratic GARCH, absolute value GARCH and bilinear GARCH processes. These models are investigated with a view to model comparisons and applications to financial time series in Korea

Nonlinearities and Forecasting in the Economic Time Series

  • Lee, Woo-Rhee
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.931-954
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    • 2003
  • It is widely recognized that economic time series involved not only the linearities but also the non-linearities. In this paper, when the economic time series data have the nonlinear characteristics we propose the forecasts method using combinations of both forecasts from linear and nonlinear models. In empirical study, we compare the forecasting performance of 4 exchange rates models(AR, GARCH, AR+GARCH, Bilinear model) and combination of these forecasts for dairly Won/Dollar exchange rates returns. The combination method is selected by the estimated individual forecast errors using Monte Carlo simulations. And this study shows that the combined forecasts using unrestricted least squares method is performed substantially better than any other combined forecasts or individual forecasts.