Investigating potential output using the Hodrick-Prescott filter: an application for Malta

Grech, Aaron George (2014): Investigating potential output using the Hodrick-Prescott filter: an application for Malta.

Abstract

Modern economics assumes that in the long run an economy develops in a balanced way, with full employment of resources and a constant inflation rate. The output level thereby achieved is called „potential output‟. Knowing the extent of the output gap, or the deviation from this equilibrium, is crucial both to guide discretionary policy and to help set an environment conducive to higher long-term growth. Consequently substantial research has been carried out to devise methods to determine the equilibrium output of an economy.

This paper, after reviewing the most used method from the two main branches of empirical investigation, namely the Hodrick-Prescott (HP) filter and the production function, argues that they both suffer from significant failings when applied to very small and open economies like Malta. The latter tend to have series that exhibit a number of pronounced trends, large fluctuations and recurrent structural breaks. Lack of data seriously constrains the production function approach in such a setting. However, non-structural methods like the HP filter tend to exhibit very pronounced changes in the output gap that are out of line with the theoretical idea of equilibrium, with results also affected significantly by shocks to data. In turn, these reflect the small size of the economy rather than actual changes in potential output.

Two suggestions are put forward. The first one involves an innovative application of the standard filter, whereby the upper and lower bounds of a series are defined and equilibrium is determined as a weighted average of the HP filter applied separately on these bounds. This can result in a smoother output gap series with the possibility of long-term deviations from equilibrium. The second suggestion involves an integration of structural features into the standard HP filter. The modified or generalised HP filter would allow researchers to set limits on the impact exerted by structural or temporary shocks and to allow for the possibility of having lengthy periods of disequilibria.

• Item Type: MPRA Paper
• Language: English
• Keywords: Potential output, output gap, HP filter, detrending, business cycles, small open economies
• Subjects: B - History of Economic Thought, Methodology, and Heterodox Approaches > B4 - Economic Methodology > B41 - Economic Methodology; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General; E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E32 - Business Fluctuations ; Cycles; F - International Economics > F4 - Macroeconomic Aspects of International Trade and Finance > F41 - Open Economy Macroeconomics

References

Alesina A. & E. Spolaore (2003), “The size of nations”, MIT Press.

Areosa M. (2008), “Combining Hodrick-Prescott filtering with a production function approach to estimate output gap”, Working Paper 172, Banco Central do Brasil.

Artis M., M. Marcellino & T. Proietti (2003), “Dating the Euro Area business cycle”, Working Paper N 237, IGIER, Universita‟ Bocconi (Italy).

Baxter M. & R.G. King (1999), “Measuring business cycles – Approximate band-pass filters for economic time series”, The Review of Economics and Statistics, Vol. 81, Issue 4, p. 575-593.

Blanchard O. J. & D. Quah (1988), “The dynamic effect of aggregate demand and supply disturbances”, American Economic Review Vol. 79, p. 655-673.

Canova F. (1998), “De-trending and business cycle facts”, Journal of Monetary Economics, Vol. 41, p. 475-512.

Central Bank of Malta (2004), “Annual Report”.

Central Bank of Malta (2005), “Annual Report”.

Chagny O. & J. Dopke (2001), “Measures of output gap in the Euro-zone: An empirical assessment of selected methods”, Working Paper No.1053, Kiel Institute of World Economics.

Claus I., P. Conway & A. Scott (2000), “The output gap: measurement, comparisons and assessment”, Research Paper No.44, Reserve Bank of New Zealand.

Cotis J-P, J. Elmeskov & A. Mourougane (2005), “Estimates of potential output: Benefits and pitfalls from a policy perspective”, in Reichlin L. (ed.), The Euro Area business cycle: Stylized facts and measurement issues, London: CEPR.

D‟Auria F., C. Denis, K. Havik, K. McMorrow, C. Planas, R. Raciborski, W. Roger & A. Rossi (2010), “The production function methodology for calculating potential growth rates and output gaps”, European Economy, Economic Papers 420, European Commission.

De Masi P. R. (1997), “IMF estimates of potential output: Theory and practice”, Working Paper WP/97/177, International Monetary Fund.

Denis C, K. Mc Morrow & W. Roger (2002), “Production function approach to calculating potential growth and output gaps – estimates for the EU Member States and the US”, Economic Paper No 176, European Commission.

Dennis R. & W.A. Razzak (1999), “The output gap using the Hodrick-Prescott filter with a non-constant smoothing parameter: an application to New Zealand”, Working Paper, Reserve Bank of New Zealand.

Economic Policy Committee (2001), “Report on potential output and the output gap”, Report to the Directorate Generale Economic and Financial Affairs, European Commission.

European Central Bank (2000), “Potential output growth and output gaps: concepts, uses and estimates”, Monthly Bulletin: October, European Central Bank.

European Central Bank (2011), “Trends in potential output”, Monthly Bulletin: January, European Central Bank.

European Commission (2009), “Impact of the current economic and financial crisis on potential output”, European Economy, Occasional Paper 49.

European Commission (2012), “Specifications on the implementation of the Stability and Growth Pact and Guidelines on the format and content of Stability and Convergence Programmes”, Code of Conduct.

Giorno C., P. Richardson, D. Roseveare, & P. van den Noord (1995), “Estimating potential output, output gaps and structural budget balances”, Working Paper No.152, Organisation for Economic Co-operation and Development.

Grech A. G. (2013), “Adapting the Hodrick-Prescott filter for very small open economies”, International Journal of Economics and Finance, Vol. 5, no. 8, 39-53.

Guay A. & P St-Amant (2005), “Do the Hodrick-Prescott and Baxter-King filters provide a good approximation of business cycles?”,Annales d‟Economie et de Statistique, No.77, ENSAE.

Haltmaier J. (2012), “Do recessions affect potential output?”, International Finance Discussion Paper No 1066, Board of Governors of the Federal Reserve System.

Hodrick R.J. & E.C. Prescott (1997), “Post-war US business cycles: An empirical investigation”, Journal of Money, Credit and Banking, Vol. 29, No. 1, 1-16.

Ladiray D., G.L. Mazzi & F. Sartori (2003), “Statistical methods for potential output estimation and cycle extraction”, Eurostat.

Musso A. & T. Westermann (2005), “Assessing potential output growth in the euro area: A growth accounting perspective, Occasional Paper No. 22, European Central Bank.

Nelson E. & K. Nikolov (2001), “UK inflation in the 1970s and 1980s: the role of output gap mismeasurement”, Working Paper No.148, Bank of England.

Okun, A. (1962), “Potential GDP: Its Measurement and Significance”, American Statistical Association, Proceedings of the Business and Economic Statistics Section: 98-103. Washington.

Plosser C. & G. William Schwert (1979), “Potential GNP: Its measurement and significance – a dissenting opinion”, Carnegie-Rochester Conference Series on Public Policy, Supplement to the Journal of Monetary Economics 10.

Ross K. & A. Ubide (2001), “Mind the gap: What is the best measure of slack in the Euro Area?”, Working Paper WP/01/203, International Monetary Fund.

Rotemberg J.J. & M. Woodford (1999), “The cyclical behaviour of prices and costs”, in „Handbook of Macroeconomics, Volume 1, Edited by J.B. Taylor & M. Woodford, Elsevier.

Scacciavillani F. & P. Swagel (1999), “Measures of potential output: An application to Israel”, Working Paper WP/99/96, International Monetary Fund.

St-Amant P. & S. van Norden (1997), “Measurement of the output gap: A discussion of recent research at the Bank of Canada”, Technical Report No.79, Bank of Canada.

Stone A. & S. Wardrop (2002), “Real-time national accounts data”, Research Discussion Paper 2002-05, Reserve Bank of Australia.

Vetlov I., T. Hledik, M. Jonsson, H. Kucsera & M. Pisani (2011), “Potential output in DSGE models”, Working Paper No. 1351, European Central Bank.