1993
DOI: 10.1002/jae.3950080104
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Threshold arch models and asymmetries in volatility

Abstract: This paper attempts to enlarge the class of Threshold Heteroscedastic Models (TARCH) introduced by Zakoi'an (1991a). We show that it is possible to relax the positivity constraints on the parameters of the conditional variance. Unconstrained models provide a greater generality of the paths allowing for nonlinearities in the volatility. Cyclical behaviour is permitted as well as different relative impacts of positive and negative shocks on volatility, depending on their size. We give empirical evidence using Fr… Show more

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Cited by 373 publications
(142 citation statements)
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“…Having outlined how this study will examine the relationship between financial distress and stock premiums, we now employ a Threshold ARCH (TARCH) model (Rabemananjara and Zakoian, 1993) to examine the relationship between liquidity crises and stock premiums. This method is employed because good news and bad news may have different impacts on volatility (Bollerslev, Chou and Kroner, 1992;Glosten, Jaganathan and Runkle, 1993;Black, 2002), therefore this model enables us to allow for and measure these asymmetric shocks to volatility.…”
Section: Liquidity Crises and Stock Premiumsmentioning
confidence: 99%
“…Having outlined how this study will examine the relationship between financial distress and stock premiums, we now employ a Threshold ARCH (TARCH) model (Rabemananjara and Zakoian, 1993) to examine the relationship between liquidity crises and stock premiums. This method is employed because good news and bad news may have different impacts on volatility (Bollerslev, Chou and Kroner, 1992;Glosten, Jaganathan and Runkle, 1993;Black, 2002), therefore this model enables us to allow for and measure these asymmetric shocks to volatility.…”
Section: Liquidity Crises and Stock Premiumsmentioning
confidence: 99%
“…Rabemananjara and Zakoian (1993) applied this model in a generalized form to the French stock market. Recently, this model was generalized by El Babsiri and Zakoian (1996) by specifying " t = t + + t + t ; ; t , w h e r e t + and t ; are TGARCH processes.…”
Section: A Succinct Review Of Exible Arch Modelsmentioning
confidence: 99%
“…The TGARCH model captures this e ect by h a ving 1 > 2 . We are aware of the fact that other parametric models may a s w ell describe this feature, but the TGARCH model has proven to be a su ciently exible and tractable model for stock returns (see, e.g., Rabemananjara and Zakoian, 1993), whereas the EGARCH model, as noted above, su ers from several theoretical and practical drawbacks.…”
Section: Figures 1 Andmentioning
confidence: 99%
“…Their approach is econometrically more challenging than the static MES due to the fact that it accounts for time varying volatility and correlation as well as nonlinear tail dependence in the banks' and sector's returns. We employ the TARCH (see Rabemananjara and Zakoïan, 1993) and Dynamic Conditional Correlation (DCC) (see Engle, 2002) specifications for computing daily MES estimates for all trading days within one year. The daily MES estimates are then averaged for each bank-year to yield our first dependent variable.…”
Section: Systemic Risk Measuresmentioning
confidence: 99%