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Analyzing volatility shocks to Eurozone CDS spreads with a multicountry GMM model in Stata Christopher F Baum and Paola Zerilli Boston College / DIW Berlin and University of York SUGUK 2016, London Christopher F Baum and Paola Zerilli


  1. Analyzing volatility shocks to Eurozone CDS spreads with a multicountry GMM model in Stata Christopher F Baum and Paola Zerilli Boston College / DIW Berlin and University of York SUGUK 2016, London Christopher F Baum and Paola Zerilli Volatility shocks to Eurozone CDS spreads SUGUK 2016, London 1 / 26

  2. Motivation and strategy Motivation and strategy Credit default swaps (CDS) of Eurozone sovereign borrowers provide a direct indication of market participants’ evaluation of default risk associated with the underlying securities. Challenges to the stability of the Euro from threats of default by several Eurozone countries have raised serious concerns and led to unprecedented policy responses. We model the time series of CDS spreads on sovereign debt in the Eurozone allowing for stochastic volatility and examining the effects of country-specific and systemic shocks. This optimization, in the form of a panel GMM estimator, poses significant computational challenges in terms of complexity of the model. Christopher F Baum and Paola Zerilli Volatility shocks to Eurozone CDS spreads SUGUK 2016, London 2 / 26

  3. Motivation and strategy Motivation and strategy Credit default swaps (CDS) of Eurozone sovereign borrowers provide a direct indication of market participants’ evaluation of default risk associated with the underlying securities. Challenges to the stability of the Euro from threats of default by several Eurozone countries have raised serious concerns and led to unprecedented policy responses. We model the time series of CDS spreads on sovereign debt in the Eurozone allowing for stochastic volatility and examining the effects of country-specific and systemic shocks. This optimization, in the form of a panel GMM estimator, poses significant computational challenges in terms of complexity of the model. Christopher F Baum and Paola Zerilli Volatility shocks to Eurozone CDS spreads SUGUK 2016, London 2 / 26

  4. Motivation and strategy Motivation and strategy Credit default swaps (CDS) of Eurozone sovereign borrowers provide a direct indication of market participants’ evaluation of default risk associated with the underlying securities. Challenges to the stability of the Euro from threats of default by several Eurozone countries have raised serious concerns and led to unprecedented policy responses. We model the time series of CDS spreads on sovereign debt in the Eurozone allowing for stochastic volatility and examining the effects of country-specific and systemic shocks. This optimization, in the form of a panel GMM estimator, poses significant computational challenges in terms of complexity of the model. Christopher F Baum and Paola Zerilli Volatility shocks to Eurozone CDS spreads SUGUK 2016, London 2 / 26

  5. Motivation and strategy Motivation and strategy Credit default swaps (CDS) of Eurozone sovereign borrowers provide a direct indication of market participants’ evaluation of default risk associated with the underlying securities. Challenges to the stability of the Euro from threats of default by several Eurozone countries have raised serious concerns and led to unprecedented policy responses. We model the time series of CDS spreads on sovereign debt in the Eurozone allowing for stochastic volatility and examining the effects of country-specific and systemic shocks. This optimization, in the form of a panel GMM estimator, poses significant computational challenges in terms of complexity of the model. Christopher F Baum and Paola Zerilli Volatility shocks to Eurozone CDS spreads SUGUK 2016, London 2 / 26

  6. Literature review As in Tauchen and Zhou (2011), we estimate our model using the moment conditions of realised volatility. As in Zhang, Zhou and Zhu (2009), we focus on the very liquid five-year CDS contracts, aggregating daily data in order to compute weekly CDS spreads and their realised volatility. We model the shocks as unobservable random variables. Following Ang and Longstaff (2011), we study the impact of two types of shocks on CDS spreads: country-specific shocks and systemic shocks. Christopher F Baum and Paola Zerilli Volatility shocks to Eurozone CDS spreads SUGUK 2016, London 3 / 26

  7. Literature review As in Tauchen and Zhou (2011), we estimate our model using the moment conditions of realised volatility. As in Zhang, Zhou and Zhu (2009), we focus on the very liquid five-year CDS contracts, aggregating daily data in order to compute weekly CDS spreads and their realised volatility. We model the shocks as unobservable random variables. Following Ang and Longstaff (2011), we study the impact of two types of shocks on CDS spreads: country-specific shocks and systemic shocks. Christopher F Baum and Paola Zerilli Volatility shocks to Eurozone CDS spreads SUGUK 2016, London 3 / 26

  8. Literature review As in Tauchen and Zhou (2011), we estimate our model using the moment conditions of realised volatility. As in Zhang, Zhou and Zhu (2009), we focus on the very liquid five-year CDS contracts, aggregating daily data in order to compute weekly CDS spreads and their realised volatility. We model the shocks as unobservable random variables. Following Ang and Longstaff (2011), we study the impact of two types of shocks on CDS spreads: country-specific shocks and systemic shocks. Christopher F Baum and Paola Zerilli Volatility shocks to Eurozone CDS spreads SUGUK 2016, London 3 / 26

  9. The model The model We model CDS returns as follows: √ dp it = V it dW 1 it V it = V 1 it + γ i V 2 t √ dV 1 it = κ 1 i ( θ 1 i − V 1 it ) dt + σ 1 i V 1 it dW 2 it √ dV 2 t = κ 2 ( θ 2 − V 2 t ) dt + σ 2 V 2 t dW 3 t where p it is the logarithm of CDS spreads and dW 1 it is the Wiener shock affecting CDS spreads for the specific country. Christopher F Baum and Paola Zerilli Volatility shocks to Eurozone CDS spreads SUGUK 2016, London 4 / 26

  10. The model V 1 it is the idiosyncratic volatility : this time-varying volatility is affected by sovereign-specific shocks dW 2 it that can potentially cause the default of an individual country; V 2 t is the systemic volatility: (with exposure γ i ): this time-varying volatility is subject to shocks dW 3 t that can potentially affect all the countries in the Eurozone, capturing spillover effects from one country to another. Christopher F Baum and Paola Zerilli Volatility shocks to Eurozone CDS spreads SUGUK 2016, London 5 / 26

  11. The model V 1 it is the idiosyncratic volatility : this time-varying volatility is affected by sovereign-specific shocks dW 2 it that can potentially cause the default of an individual country; V 2 t is the systemic volatility: (with exposure γ i ): this time-varying volatility is subject to shocks dW 3 t that can potentially affect all the countries in the Eurozone, capturing spillover effects from one country to another. Christopher F Baum and Paola Zerilli Volatility shocks to Eurozone CDS spreads SUGUK 2016, London 5 / 26

  12. An initial analysis of the data Data description Data description We focus on six members of the Eurozone for which we have complete data for Jan. 2009–June 2016: Austria, Germany, Spain, France, Germany, Italy, and Portugal. For each sovereign borrower, we have daily CDS spread quotations sourced from Bloomberg. We aggregate daily quotations of the liquid 5-year tenor in order to derive composite weekly quotations for 381 weeks. This allows us to have a measure of the weekly realized volatility and study the behavior of the weekly CDS returns. We build a panel Generalized Method of Moments (GMM) estimator where we analyze the effects of two different sources of volatility: idiosyncratic volatility and systemic volatility. Christopher F Baum and Paola Zerilli Volatility shocks to Eurozone CDS spreads SUGUK 2016, London 6 / 26

  13. An initial analysis of the data Data description Data description We focus on six members of the Eurozone for which we have complete data for Jan. 2009–June 2016: Austria, Germany, Spain, France, Germany, Italy, and Portugal. For each sovereign borrower, we have daily CDS spread quotations sourced from Bloomberg. We aggregate daily quotations of the liquid 5-year tenor in order to derive composite weekly quotations for 381 weeks. This allows us to have a measure of the weekly realized volatility and study the behavior of the weekly CDS returns. We build a panel Generalized Method of Moments (GMM) estimator where we analyze the effects of two different sources of volatility: idiosyncratic volatility and systemic volatility. Christopher F Baum and Paola Zerilli Volatility shocks to Eurozone CDS spreads SUGUK 2016, London 6 / 26

  14. An initial analysis of the data Data description Data description We focus on six members of the Eurozone for which we have complete data for Jan. 2009–June 2016: Austria, Germany, Spain, France, Germany, Italy, and Portugal. For each sovereign borrower, we have daily CDS spread quotations sourced from Bloomberg. We aggregate daily quotations of the liquid 5-year tenor in order to derive composite weekly quotations for 381 weeks. This allows us to have a measure of the weekly realized volatility and study the behavior of the weekly CDS returns. We build a panel Generalized Method of Moments (GMM) estimator where we analyze the effects of two different sources of volatility: idiosyncratic volatility and systemic volatility. Christopher F Baum and Paola Zerilli Volatility shocks to Eurozone CDS spreads SUGUK 2016, London 6 / 26

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