Macroeconomic Shocks and Jumps in the Long Memory Models of Daily KRW-USD and KRW-JPY Foreign Exchange Rates
JEL Classification: C22, F41
Abstract
This paper focuses on providing proper models for the daily Korean exchange rate dynamics which is subject to macroeconomic shocks. By investigating the daily KRW-USD and KRW-JPY exchange returns, this paper presents that the usual assumption of normal distribution is not appropriate in representing the daily Korean exchange returns due to the jumps which are related to the macroeconomic shocks of Korea, Japan and the U.S. Thus, this paper relies on the normal mixture distribution that allows for the jumps in the process of the daily Korean exchange returns. The normal mixture model with the Bernoulli distribution is found to perform quite well and to be important for the estimation of the long memory persistence in the daily Korean exchange return volatility. In particular, using the time-varying jump probability associated with the macroeconomic shocks of Korea, Japan and the U.S., this paper finds that the macroeconomic shocks induce jumps in the process of the daily exchange returns and appear to increase the long memory persistence in the daily Korean exchange return volatility.
Keywords:
Daily Korean foreign exchange rates, FIGARCH, Normal mixture distribution, Long memory persistence, Macroeconomic shocksAcknowledgments
The author gratefully acknowledges the financial support from the Korea Research Foundation Grant (KRF-2006-332-B00054) funded by the Korean Government (MOEHRD) and the Hallym University Research Grant. The author is also grateful to the Olsen and Associates for making available their real time exchange rates and to the Money Market Services (MMS) International for their news announcement data.
References
- Andersen, Torben G., and Bollerslev, Tim. “Intraday periodicity and volatility persistence in financial markets.” Journal of Empirical Finance 4 (Nos. 2-3 1997): 115-58. [https://doi.org/10.1016/S0927-5398(97)00004-2]
- Andersen, Torben G., and Bollerslev, Tim. “Deutsche mark - dollar volatility: intraday activity, patterns, macroeconomic announcements and longer run dependence.” Journal of Finance 53 (No. 1 1998): 219-65. [https://doi.org/10.1111/0022-1082.85732]
- Andersen, Torben G., Bollerslev, Tim, Diebold, Francis X., and Vega, Clara. “Micro effects of macro announcements: real-time price discovery in foreign exchange.” American Economic Reviews, 93 (No. 1 2003): 38-62. [https://doi.org/10.1257/000282803321455151]
- Baillie, Richard T. “Long memory processes and fractional integration in econometrics.” Journal of Econometrics 73 (No. 1 1996): 5-59. [https://doi.org/10.1016/0304-4076(95)01732-1]
- Baillie, Richard T., Bollerslev, Tim, and Mikkelsen, Hans O. “Fractionally integrated generalized autoregressive conditional heteroskedasticity.” Journal of Econometrics 74 (No. 1 1996): 3-30. [https://doi.org/10.1016/S0304-4076(95)01749-6]
- Baillie, Richard T., Cecen, Aydin C., and Han, Young W. “High Frequency deutschemark - US dollar returns: FIGARCH representations and non linearities.” Multinational Finance Journal 4 (Nos. 3-4 2000): 247-67. [https://doi.org/10.17578/4-3/4-6]
- Baillie, Richard T., and Han, Young W. “Comment on testing target zone models using efficient methods of moments.” Journal of Business and Economic Statistics 19 (No. 3 2001): 273-77. [https://doi.org/10.1198/073500101681019891]
- Ball, Clifford, and Roma, Antoni. “A jump diffusion model for the European Monetary System.” Journal of International Money and Finance 12 (No. 5 1993): 475-92. [https://doi.org/10.1016/0261-5606(93)90035-A]
- Ball, Clifford, and Torous, Walter. “A simplified jump process for common stock returns.” Journal of Financial and Quantitative Analysis 18 (No. 1 1983): 53-65. [https://doi.org/10.2307/2330804]
- Beine, Michel, Benassy-Quere, Agnes, and Lecourt, Chrstelle. “Central bank intervention and foreign exchange rate: New evidence from FIGARCH estimations.” Journal of International Money and Finance 21 (No. 1 2002): 115-44. [https://doi.org/10.1016/S0261-5606(01)00040-7]
- Beine, Michel, and Laurent, Sebastien. “Central bank interventions and jumps in double long memory models of daily exchange rates.” Journal of Empirical Finance 10 (No. 5 2003): 641-60. [https://doi.org/10.1016/S0927-5398(03)00009-4]
- Bollerslev, Tim. “Generalized autoregressive conditional heteroscedasticity.” Journal of Econometrics 31 (No. 3 1986): 307-27. [https://doi.org/10.1016/0304-4076(86)90063-1]
- Bollerslev, Tim, and Wooldridge, Jeff M. “Quasi-maximum likelihood estimation of dynamic models with time varying covariances.” Econometric Reviews 11 (No. 2 1992): 143-72. [https://doi.org/10.1080/07474939208800229]
- Cheung, Chae-Shik, and Tauchen, George. “Testing target zone models using efficient methods of moments.” Journal of Business and Economic Statistics 19 (No. 3 2001): 267-77. [https://doi.org/10.1198/073500101681019891]
- Dominguez, Kathryn, and Panthaki, Freyan. What defines ‘news’ in foreign exchange markets? NBER Working Paper No. 11769, 2005. [https://doi.org/10.3386/w11769]
- Han, Y. W. “Long memory property and central bank intervention during the crisis in the daily Korean won-US dollar exchange rates.” The Journal of the Korean Economy 4 (No. 1 2003): 93-116.
- Hotta, Luiz K., and Tsay, Ruley S. Outliers in GARCH process. Unpublished manuscript, 1998.
- Hsieh, David A. “Testing for nonlinear dependence in daily foreign exchange rates.” Journal of Business 62 (No. 3 1989): 339-68. [https://doi.org/10.1086/296466]
- Jorion, Phillippe. “On jump processes in the foreign exchange and stock markets.” Review of Financial Studies 1 (No. 4 1988): 427-45. [https://doi.org/10.1093/rfs/1.4.427]
- Nelson, Daniel B., and Cao, Charles. “Inequality constraints in the univariate GARCH model.” Journal of Business and Economic Statistics 10 (No. 2 1992): 229-35. [https://doi.org/10.1080/07350015.1992.10509902]
- Press, James. “A compound events model for security prices.” Journal of Business 40 (No. 2 1967): 317-35. [https://doi.org/10.1086/294980]
- Vlaar, Peter J. G., and Palm, Franz. “The message in weekly exchange rates in the European Monetary System: mean reversion, conditional heteroskedasticity and jumps.” Journal of Business and Economic Statistics 11 (No. 3 1993): 351-60. [https://doi.org/10.1080/07350015.1993.10509963]