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Causality-in-variance and causality-in-mean between the Greek sovereign bond yields and Southern European banking sector equity returns

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Abstract

This paper adopts the robust cross-correlation function methodology developed by Hong (J Econom 103:183–224, 2001) in order to test for volatility and mean spillovers between Greek long-term government bond yields and the banking sector stock returns of four Southern European countries, namely Greece, Portugal, Italy, and Spain. Its primary focus is on investigating the potential impacts of the recent European sovereign debt crisis. While most previous studies have focused on within-country causalities, we rather assess cross-country transmission effects. The presented results provide evidence of bidirectional volatility spillovers between Greek long-term interest rates and the banking sector equities of Portugal, Italy, and Spain that emerged during the European sovereign debt crisis. We also find significant unidirectional causality-in-mean from bank stock returns in Greece to Greek long-term bond yields during the crisis period as well as significant causality at the mean level from the bank equity returns in Portugal, Italy, and Spain to Greek bond yields.

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Notes

  1. See Nelson (1991) for details of the EGARCH model.

  2. Hong’s (2001) approach is typically used in a bivariate framework, because it allows for dealing with only two variables at once. Some previous studies have conducted Granger causality tests with multiple variables as a system. For instance, Lee (1992), using a VAR system, investigates the relationships among stock returns, interest rates, inflation rates, and growth in industrial production. Our study focuses specifically on the bivariate relationship between bank stock returns and bond yields.

  3. In terms of the weighting function k(z) above, we selected the truncated kernel, which provides compact support. By performing Monte Carlo experiments, Hong (2001) contends that for a smaller M (i.e., M = 10), the truncated kernel gives approximately similar power to non-uniform kernels such as the Bartlett, Daniell, and QS kernels. For the application of the Hong test, refer to, for example, Xu and Hamori (2012) and Tamakoshi and Hamori (2013).

  4. One possible choice for the Greek government bond data is to use the risk premium on bond prices, because we use stock price-level data to represent the banking sector. Nevertheless, we employ bond yields data to ensure that the results of our analysis are comparable with those of similar studies such as Alaganar and Bhar (2003).

  5. We selected this date based on the key event that signified the onset of the crisis, as is common in the related literature. Nonetheless, we also need to mention that the break date in the time series could be earlier or later than this announcement by the Greek government. Indeed, some methodologies detect structural breakpoints endogenously, although these statistical procedures do have their own limitations. For instance, Bai and Perron (1998, 2003) describe how to estimate the location of multiple endogenous structural breaks in mean and variance parameters.

  6. However, it must be noted that even though the variance equation in the pre-crisis period displays a very good fit to the EGARCH specification, the fit of the equation in the crisis period is relatively poor. An alternative approach that may be useful for considering the effect of the crisis in the EGARCH framework, although not used in this paper, is to include a dummy variable in the conditional variance equation.

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Correspondence to Shigeyuki Hamori.

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Tamakoshi, G., Hamori, S. Causality-in-variance and causality-in-mean between the Greek sovereign bond yields and Southern European banking sector equity returns. J Econ Finan 38, 627–642 (2014). https://doi.org/10.1007/s12197-012-9242-y

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