Rationalizing an Econometric Test Model: An Empirical Investigation of ARCH Family Models
Abstract
Selecting an appropriate econometric testing model is of high value to scholars of this field. The central focus of this paper is to empirically investigate the rationality and appropriateness of an econometric testing model for time series macroeconomic variables that exhibit clustering volatility. We test the India’s Producer Price Index (PPI) covering the period January 01, 1947 to October 30, 2015 arranged on monthly basis by using the ARCH family models. The empirical investigation and statistical analysis show that among ARCH, GARCH, TARCH, PARCH and EGARCH models, the most rationale and appropriate testing model for PPI and as such variables that share common nature is the GARCH model as its statisitical result displays lower values for AIC, SIC and HIC that positively correspond with theoretical foundation of the econometric literature and satisfy the philosophical requirements.
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References
Azimi, M. N. (2015). Is CPI generated from stationary process? An investigation on unit root hypothesis of India’s CPI. International Journal of Management and Commerce Innovation, 3(2), 329–335.
Besag, J. E., & Diggle, P. J. (1977). Simple Monte Carlo Tests for Spatial Pattern. Applied Statistics, 26(3), 327–333. http://doi.org/10.2307/2346974
Bhaskara Rao, B., & Singh, R. (2006). Demand for money in India: 1953–2003. Applied Economics, 38(11), 1319–1326. http://doi.org/10.1080/00036840500396228
Bonomo, M., Martins, B., & Pinto, R. (2003). Debt composition and exchange rate balance sheet effect in Brazil: A firm level analysis. Emerging Markets Review. http://doi.org/10.1016/S1566-0141(03)00061-X
Brooks, R. (2007). Power arch modelling of the volatility of emerging equity markets. Emerging Markets Review, 8(2), 124–133. http://doi.org/10.1016/j.ememar.2007.01.002
Chang, C.-L., & McAleer, M. (2015). Econometric analysis of financial derivatives: An overview. Journal of Econometrics, 187(2), 403–407. http://doi.org/10.1016/j.jeconom.2015.02.026
Chit, M. M., Rizov, M., & Willenbockel, D. (2010). Exchange Rate Volatility and Exports: New Empirical Evidence from the Emerging East Asian Economies. The World Economy, 33(2), 239 – 263. http://doi.org/10.1111/j.1467-9701.2009.01230.x
Cont, R. (2007). Volatility clustering in financial markets: Empirical facts and agent-based models. In Long Memory in Economics (pp. 289–309). http://doi.org/10.1007/978-3-540-34625-8_10
Daal, E., Naka, A., & Yu, J. S. (2007). Volatility clustering, leverage effects, and jump dynamics in the US and emerging Asian equity markets. Journal of Banking and Finance, 31(9), 2751–2769. http://doi.org/10.1016/j.jbankfin.2006.12.012
Ding, Z., Granger, C. W. J., & Engle, R. F. (1993). A long memory property of stock market returns and a new model. Journal of Empirical Finance. http://doi.org/10.1016/0927-5398(93)90006-D
Enders, W. (2004). Applied Econometric Time Series. Technometrics, 46(2), 264–264. http://doi.org/10.1198/tech.2004.s813
Engle, R. F. (1982). Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation. Econometrica, 50(4), 987–1007. http://doi.org/10.2307/1912773
Gaunersdorfer, A., & Hommes, C. H. (2007). A Nonlinear Structural Model for Volatility Clustering. In Long Memory in Economics (pp. 265–288). http://doi.org/10.2139/ssrn.241349
Glosten, L. R., Jagannathan, R., & Runkle, D. E. (1993). On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks. Journal of Finance, 48(5), 1779–1801. http://doi.org/10.2307/2329067
Gonzalez, C., & Gimeno, R. (2012). Financial Analysts Impact on Stock Volatility. Available at SSRN 2175491. Retrieved from http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2175491
Klaassen, F. (2002). Improving GARCH volatility forecasts with regime-switching GARCH. Empirical Economics, 27(2), 363–394. http://doi.org/10.1007/s001810100100
Krämer, W. (2008). Long memory with Markov-Switching GARCH. Economics Letters, 99(2), 390–392. http://doi.org/10.1016/j.econlet.2007.09.027
Marcucci, J. (2005). Forecasting Stock Market Volatility with Regime-Switching GARCH Models. Studies in Nonlinear Dynamics & Econometrics, 9(4). http://doi.org/10.2202/1558-3708.1145
McKenzie, M. D., Mitchell, H., Brooks, R. D., & Faff, R. W. (2001). Power ARCH modelling of commodity futures data on the London Metal Exchange. The European Journal of Finance, 7(1), 22–38. http://doi.org/10.1080/13518470150205431
Miles, W. (2008). Volatility clustering in US home prices. Journal of Real Estate Research, 30(1), 73–90. Retrieved from http://ares.metapress.com/index/2N3V544976H11635.pdf
Plosser, C. I. (2009). Financial econometrics, financial innovation, and financial stability. Journal of Financial Econometrics, 7(1), 3–11. http://doi.org/10.1093/jjfinec/nbn014
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