Introduction

  • John Hunter
  • Simon P. Burke
  • Alessandra Canepa
Chapter
Part of the Palgrave Texts in Econometrics book series (PTEC)

Abstract

In this edition the authors draw on further research on multivariate time series methods that are used and might be used in the analysis of economic and financial data. The approach is firmly multivariate and starts with linear models: time series models where the data are taken to be stationary. This implies that the series are generally differenced and that likely relationships relate to growth rates in economics and returns in finance. In this context, the model can be transformed to derive long-run relations in the rate of growth of the economy and this links with other economic factors or to long-run asset price relations. Impulse response functions are then derived and their uniqueness is considered as well as forecasting. The latter is treated in brief as these are the primary concerns of the book by Clements (2005). Forecasting is clearly an important direct and indirect outcome of time series modelling, but for the economics profession such models have meaning related to the identification of economic phenomena and the determination of policy. Forecast performance is also an important component in model selection, for economist, financial analyst and pure statistician. For the economic and financial analyst the nature of the model might be suggestive of the nature of the economy, either in a long-run or a short-run sense. Hence, models that make no economic sense or are not able to be identified might be considered to be inconsistent with theory and as a result may only have a statistical value. There is also an interest in models being well specified and stable over time. There may be reasons for instability by virtue of policy changes, but the interest is then directed to the invariant structures that have implications for exogeneity. In particular the idea that relations invariant to series that are not stable can be viewed as indicative of super exogeneity. This focuses attention on parameters, which are often linked to the long run. Having distinguished between the exogenous and endogenous series, one will then be drawn towards econometric identification. This is the capacity to detect economic structure from the long-run or short-run parameters, as compared with time series identification that relates to the dynamic process driving the short-run behaviour of the data. Causality is related to exogeneity and this considers the extent to which it is possible to detect the forcing variables or to forecast conditional on a subset of the data either in the short run or in the long run. Causality is sensitive to the nature of the system and in the short run relates to the parameters of certain dynamic processes being set to zero. This applies in the long run when some of the variables satisfy the conditions appropriate for cointegrating exogeneity (Hunter, Econ Lett 34:33-35, 1990), but with the exception of systems with only two variables or one cointegrating vector, this is also a requirement for the effect of long-run causality in the short run.

Keywords

Unit Root Time Series Model Impulse Response Function Error Correction Model Future Contract 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Bachelier, L. (1900). Théorie de la speculation. Paris: Gauthier-Villars.Google Scholar
  2. Barten, A. P. (1969). Maximum likelihood estimation of an almost complete set of demand equations. European Economic Review, 1, 7–73.CrossRefGoogle Scholar
  3. Bauwens, L., & Hunter J. (2000). Identifying Long-Run Behaviour with Non-Stationary data. Discussion Paper CORE, The Catholic University, Louvain-La Nueve DP 2000/43.Google Scholar
  4. Boswijk, H. P. (1996). Cointegration, identification and exogeneity: Inference in structural error correction models. Journal of Business and Economics and Statistics, 14, 153–160.Google Scholar
  5. Burke, S. P., & Hunter, J. (2011). Long-run equilibrium price targeting. Quantitative and Qualitative Analysis in Social Sciences, 5, 26–36.Google Scholar
  6. Clements, M. P. (2005). Evaluating econometric forecasts of economic and financial variables. Basingstoke: Palgrave-Macmillan.CrossRefGoogle Scholar
  7. Davidson, J. E. H., Hendry, D. F., Srba, F., & Yeo, S. (1978). Econometric modelling of the aggregate time series relationships between consumers expenditure and income in the United Kingdom. Economic Journal, 88, 661–692.CrossRefGoogle Scholar
  8. Davidson, R., & MacKinnon, J. G. (2004). Econometric theory methods. New York: Oxford University Press.Google Scholar
  9. Deaton, A. S. (1975). Models and projections of demand in post-war Britain. London: Chapman and Hall.CrossRefGoogle Scholar
  10. Deaton, A. S., & Muellbauer, J. N. J. (1980). An almost ideal demand system. American Economic Review, 70, 312–326.Google Scholar
  11. Engle, R. F., & Granger, C. W. J. (1987). Co-integration and error-correction: Representation, estimation and testing. Econometrica, 55, 251–276.CrossRefGoogle Scholar
  12. Fama, E. F. (1970). Efficient capital markets: A review of theory and empirical work. Journal of Finance, 25, 383–417.CrossRefGoogle Scholar
  13. Fisher, I. (1930). The theory of interest. New York: The Macmillan Company.Google Scholar
  14. Friedman, M., & Schwartz A.J. (1982) Monetary Trends in the United States and the United Kingdom: Their relation to income, prices, and interest rates, pp. 1867–1975. Chicago: University of Chicago Press.Google Scholar
  15. Granger, C. W. J., & Newbold, P. (1974). Spurious regression in econometrics. Journal of Econometrics, 2, 111–120.CrossRefGoogle Scholar
  16. Granger, C. W. J., & Weiss, A. A. (1983). Time series analysis of error-correcting models. In Studies in econometrics, time series, and multivariate statistics (pp. 255–278). New York: Academic.CrossRefGoogle Scholar
  17. Granger, C. W. J., & Newbold, P. (1986). Forecasting with economic time series. New York: Academic.Google Scholar
  18. Hall, R. E. (1978). Stochastic implications of the life cycle-permanent income hypothesis: Theory and evidence. Journal of Political Economy, 86, 971–987.CrossRefGoogle Scholar
  19. Harvey, A. C. (1989). Forecasting structural time series models and the Kalman filter. Cambridge: Cambridge University Press.Google Scholar
  20. Hendry, D. F. (1980). Econometrics – alchemy or science. Economica, 47, 387–406.CrossRefGoogle Scholar
  21. Hendry, D. F., & Ericsson, N. R. (1990). An econometric analysis of U.K. money demand in monetary trends in the United States and the United Kingdom by Milton Friedman and Anna Schwartz. American Economic Review, 81, 8–38.Google Scholar
  22. Hendry, D. F., & Mizon, G. E. (1978). Serial correlation as a convenient simplification not a nuisance: A comment on a study of the demand for money by the Bank of England. Economic Journal, 88, 549–563.CrossRefGoogle Scholar
  23. Hendry, D. F., & Richard, J. F. (1982). On the formulation of empirical models in dynamic econometrics. Journal of Econometrics, 20, 3–33.CrossRefGoogle Scholar
  24. Hendry, D. F., & Richard, J. F. (1983). The econometric analysis of economic time series. International Statistical Review, 51, 111–163.CrossRefGoogle Scholar
  25. Hull, J. (2015). Options, futures and other derivatives. London: Prentice Hall.Google Scholar
  26. Hunter, J. (1989). Dynamic modelling of expectations: With particular reference to the labour market. Unpublished Ph.D. manuscript, London School of Economics.Google Scholar
  27. Hunter, J. (1990). Cointegrating exogeneity. Economics Letters, 34, 33–35.CrossRefGoogle Scholar
  28. Hunter, J. (1992). Tests of cointegrating exogeneity for PPP and uncovered interest rate parity for the UK. Journal of Policy Modelling,Special Issue: Cointegration, Exogeneity and Policy Analysis, 14, 453–463.Google Scholar
  29. Johansen, S. (1988). Statistical analysis of cointegration vectors. Journal of Economic Dynamics and Control, 12, 231–254.CrossRefGoogle Scholar
  30. Johansen, S. (1992). Testing weak exogeneity and the order of cointegration in UK money demand data. Journal of Policy Modelling, Special Issue: Cointegration, Exogeneity and Policy Analysis, 14, 313–334.Google Scholar
  31. Johansen, S. (1995). Likelihood-inference in cointegrated vector auto-regressive models. Oxford: Oxford University Press.CrossRefGoogle Scholar
  32. Johansen, S., & Juselius, K. (1992). Some structural hypotheses in a multivariate cointegration analysis of the purchasing power parity and the uncovered interest parity for UK. Journal of Econometrics, 53, 211–244.CrossRefGoogle Scholar
  33. Keynes, J. M. (1939). Professor Tinbergen’s method. Reprinted in the collected writings of John Maynard Keynes (Vol. XIV, pp. 306–318).Google Scholar
  34. Leijonhufvud, A. (1968). On Keynesian economics and the economics of Keynes. Oxford: Oxford University Press.Google Scholar
  35. Lin, J.-L., & Tsay, R. S. (1996). Co-integration constraint and forecasting: An empirical examination. Journal of Applied Econometrics, 11, 519–538.CrossRefGoogle Scholar
  36. Lothian, J. R., & Taylor, M. P. (1996). Real exchange rate behaviour: The recent float from the perspective of the past two centuries. Journal of Political Economy, 104, 488–509.CrossRefGoogle Scholar
  37. Lütkepohl, H. (2006). New introduction to multiple time series analysis. Berlin: Springer-Verlag.Google Scholar
  38. Muellbauer, J. (1983). Surprises in the consumption function. Economic Journal, 93, Supplement March 1983, 34–50.Google Scholar
  39. Paruolo, P. (1996). On the determination of integration indices in I(2) systems. Journal of Econometrics, 72, 313–356.CrossRefGoogle Scholar
  40. Patterson, K. (2000). An introduction to applied econometrics: A time series approach. Basingstoke: Palgrave-Macmillan.Google Scholar
  41. Patterson, K. (2010). A primer for unit root testing. Basingstoke: Palgrave-Macmillan.CrossRefGoogle Scholar
  42. Patterson, K. (2011). Unit root tests in time series (Vol. 1). Basingstoke: Palgrave-Macmillan.CrossRefGoogle Scholar
  43. Robinson, P. M., & Marinucci, D. (1998). Semiparametric Frequency Domain Analysis of Fractional Cointegration. STICERD Discussion Paper EM/98/348, London School of Economics.Google Scholar
  44. Robinson, P. M., & Yajima, Y. (2002). Determination of cointegrating rank in fractional systems. Journal of Econometrics, 106, 217–241.CrossRefGoogle Scholar
  45. Sargan, J. D. (1964). Wages and prices in the UK: A study in econometric methodology. In P. E. Hart, G. Mills, & J. K. Whitaker (Eds.), Econometric analysis for national economic planning. London: Butterworth.Google Scholar
  46. Sims, C. (1980). Macroeconomics and reality. Econometrica, 48, 11–48.CrossRefGoogle Scholar
  47. Spliid, H. (1983). A fast estimation method for the vector auto-regressive moving average model with exogenous variables. Journal of the American Statistical Association, 78, 843–849.CrossRefGoogle Scholar
  48. Theil, H. (1965). The information approach to demand analysis. Econometrica, 33, 67–87.CrossRefGoogle Scholar
  49. Wallis, K. F., Andrews, M. J., Bell, D. N. F., Fisher, P. G., & Whitley, J. D. (1984). Models of the UK economy. Oxford: Oxford University Press.Google Scholar
  50. Wickens, M. R. (1982). The efficient estimation of econometric models with rational expectations. Review of Economic Studies, 49, 55–67.CrossRefGoogle Scholar
  51. Wold, H., & Jureen, L. (1953). Demand Analysis. New York: Wiley.Google Scholar
  52. Yoo, S. (1986). Multi-cointegrated Time Series and Generalised Error-Correction Models. University of San Diego Working Paper.Google Scholar
  53. Yule, G. U. (1926). Why do we sometimes get non-sense correlation between time-series? A study of sampling and the nature of time-series. Journal of the Royal Statistical Society, 89, 1–64.CrossRefGoogle Scholar
  54. Yule, G. U. (1927). On a method of investigating periodicities in disturbed series with special reference to Wolfer’s sunspot numbers. Philisophical Transactions (A), 226, 267–298.CrossRefGoogle Scholar

Copyright information

© The Author(s) 2017

Authors and Affiliations

  • John Hunter
    • 1
  • Simon P. Burke
    • 2
  • Alessandra Canepa
    • 1
  1. 1.Department of Economics and FinanceBrunel UniversityUxbridgeUK
  2. 2.Department of EconomicsUniversity of ReadingReadingUK

Personalised recommendations