Revisiting the Hodrick-Prescott Filter: A New Perception of the Minimization Problem

  • Anna Sess Adiabouah Department of Economics, University Felix Houphouët-Boigny, Abidjan, Côte d’Ivoire
Keywords: Economic cycle, Hodrick-Prescott Filter, Smoothing parameter, Turning points

Abstract

When we revisit how reflect the objective of reducing the effects of the growth rates fluctuation in the Hodrick-Prescott filter, we minimize the gap between the value of the trend at time t and a third order average around that value. The paper assesses that the obtained modified Hodrick-Prescott filter better takes into account the structure of the series and gives a stronger estimate of the turning points.

References

Barell, R., and J. Sefton (1995). “Output gaps : Some evidence from UK, France and Germany”, National Institute Economic Review, vol. 151, pp. 65-73.

Baxter, M., and R. G. King (1999). “Measuring business cycles: approximate band-pass filters for economic time series,” Review of Economics and Statistics, vol. 81.4, pp. 575–593.

Christiano, L. J., and T. J. Fitzgerald (2003). “The band pass filter”, International Economic Review, vol. 44.2, pp. 435–465.

Cogley, T., and J. M. Nason (1995). “Effects of the Hodrick-Prescott filter on trend and difference stationary time series Implications for business cycle research,” Journal of Economic Dynamics and control, vol. 19.1-2, pp. 253–278.

Cornea-Madeira, A. (2017). “The Explicit Formula for the Hodrick-Prescott Filter in a Finite Sample,” Review of Economics and Statistics, vol. 99.2, pp. 314-318.

De Jong, R. M., and N. Sakarya (2016). “The Econometrics of the Hodrick-Prescott Filter”, Review of Economics and Statistics, vol. 98, pp. 310-317.

Hodrick, R. J., and E. C. Prescott (1997). “Postwar US business cycles: an empirical investigation,” Journal of Money, Credit, and Banking, pp. 1–16.

Iacobucci, A., and A. Noullez (2005). “A frequency selective filter for short-length time series”, Computational Economics. Springer, vol; 25.1, pp. 75-102.

Madeira, J. (2014). “Overtime Labor, Employment Frictions and the New Keynesian Phillips Curve”, The Review of Economics and Statistics, vol. 96, pp. 767-778.

Phillips, P. C. B., and S. Jin (2015). “Business Cycles, Trend Elimination, and the HP Filter,” Discussion paper, Yale University, Cowles Foundation Discussion Paper 2005.

Sakarya, N., and R. M. De Jong (2017). “A property of the Hodrick-Prescott filter and its application”, Technical Report. The Ohio State University.

Stock, J. H., and M. Watson (1999). “Business cycle fluctuations in U.S. macroeconomic time series”, John B. Taylor and Michael Woodford eds. Handbook of Macroeconomics. 1A : pp. 2-64.

Watson, M. W. (2007). “How accurate are real-time estimates of output trends and gaps?” Economic Quarterly, 93(3), pp. 143–161.

Zellner, A., and C. Hong (1991). Bayesian methods for forcasting in economic time series : Sensitivity of forecast to asymmetry of loss structures, in : K. Lahiri and G. Moore, eds., Leading economic indicators : New approaches and forecasting record, Cambridge University press, Cambridge, pp. 129-140.

Published
2020-02-22
Section
Articles