Empirical evidence on inflation and unemployment in the long run

Haug, Alfred A. and King, Ian P. (2011): Empirical evidence on inflation and unemployment in the long run. Unpublished.

Abstract

We examine the relationship between inflation and unemployment in the long run, using quarterly US data from 1952 to 2010. Using a band-pass filter approach, we find strong evidence that a positive relationship exists, where inflation leads unemployment by some 3 to 3 1/2 years, in cycles that last from 8 to 25 or 50 years. Our statistical approach is atheoretical in nature, but provides evidence in accordance with the predictions of Friedman (1977) and the recent New Monetarist model of Berentsen, Menzio, and Wright (2011): the relationship between inflation and unemployment is positive in the long run.

• Item Type: MPRA Paper
• Language: English
• Keywords: Inflation, Unemployment, Long-Run Phillips Curve
• Subjects: E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Employment, and Investment > E24 - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E31 - Price Level; Inflation; Deflation

References

[1] Backus, David K. and Patrick J. Kehoe (1992),“International Evidence on the Historical Properties of Business Cycles,” American Economic Review, 82, 864-888.

[2] Bai, Jushan and Pierre Perron (1998), “Estimating and Testing Linear Models With Multiple Structural Changes,” Econometrica, 66, 47-78.

[3] Bai, Jushan and Pierre Perron (2003), “Computation and Analysis of Multiple Structural Change Models,” Journal of Applied Econometrics, 18, 1-22.

[4] Bai, Jushan and Pierre Perron (2006), “Multiple Structural Change Models: A Simualtion Analysis,” in Econometric Theroy and Practice: Frontiers of Analysis and Applied Research, eds. Dean Corbae, Stephen Durlauf, and Bruce E. Hansen. New York: Cambridge University Press, pp. 212-237.

[5] Ball, Laurence (2001), “Another Look at Long-Run Money Demand,” Journal of Monetary Economics, 47, 31-44.

[6] Baxter, Marianne and Robert G. King (1999), “Measuring Business Cycles: Approximate Band-Pass Filters for Economic Time Series,” Review of Economics and Statistics, 81, 575-593.

[7] Berentsen, Aleksander, Guido Menzio and Randall Wright (2011), “Inflation and Unemployment in the Long Run,” American Economic Review, 101, 371-398.

[8] Beyer, Andreas and Roger Farmer (2007), “Natural Rate Doubts,” Journal of Economic Dynamics and Control, 31, 797-825.

[9] Carrion-i-Silvestre, Joseph L., Dupka Kim and Pierre Perron (2007), “GLS-Based Unit Root Tests With Multiple Breaks Under Both the Null and the Alternative Hypotheses,”presented at a Conference in Honour of Paul Newbold, http://www.nottingham.ac.uk/economics/grangercentre/conference/.

[10] Carrion-i-Silvestre, Joseph L., Dupka Kim and Pierre Perron (2009), “GLS-Based Unit Root Tests With Multiple Breaks Under Both the Null and the Alternative Hypotheses,” Econometric Theory, 25, 1754-1792.

[11] Christiano, Lawrence J. and Terry J. Fitzgerald (2003), “The Band-Pass Filter,” International Economic Review, 44, 435-465.

[12] Coe, Patrick J. and James M. Nason (2004), “Long-Run Monetary Neutrality and Long-Horizon Regressions,” Journal of Applied Econometrics, 19, 355-373.

[13] Cogley, Timothy (2001), “Alternative Definitions of the Business Cycle and their Implications for Business Cycle Models: A Reply to Torben Mark Pedersen,” Journal of Economic Dynamics and Control, 25, 1103-1107.

[14] Comin, Diego and Mark Gertler (2006), “Medium-Term Business Cycles,” American Economic Review, 96, 523-551.

[15] Cooley, Thomas and Gary Hansen (1989), “The Inflation Tax in a Real Business Cycle Model,” American Economic Review, 79, 733-748.

[16] Corbae, Dean and Sam Ouliaris (2006), “Extracting Cycles from Nonstationary Data,” in:Dean Corbae, Stephen Durlauf and Bruce Hansen, eds., Econometric Theory and Practice: Frontiers of Analysis and Applied Research, Cambridge (UK): Cambridge University Press.

[17] Corbae, Dean, Sam Ouliaris and Peter C.B. Phillips (2002), “Band Spectral Regression with Trending Data,” Econometrica, 70, 1067-1109.

[18] Cynamon, Barry Z., Donald H. Dutkowsky and Barry E. Jones (2006), “Redefining the Monetary Aggregates: A Clean Sweep,” Eastern Economic Journal, 32, 661-673.

[19] Diamond, Peter (1982), “Wage Determination and Efficiency in Search Equilibrium,” Review of Economic Studies, 49, 217-229.

[20] Dong, Mei (2010), “Inflation and Unemployment in Competitive Search Equilibrium,” Bank of Canada Working Paper 2101-15.

[21] Doyle, Mathew and Barry Falk (2008), “Testing Commitment Models of Monetary Policy: Evidence From OECD Economies,” Journal of Money, Credit and Banking, 40, 409-425.

[22] Engle, Robert F. (1974), “Band Spectrum Regression,” International Economic Review, 15, 1-11.

[23] Fisher, Mark E. and John J. Seater (1993), “Neutrality and Superneutrality in an ARIMA Framework,” American Economic Review, 83, 402-415.

[24] Friedman, Milton (1968), “The Role of Monetary Policy, ” American Economic Review, 58, 1-17.

[25] Friedman, Milton (1977), “Nobel Lecture: Inflation and Unemployment,” Journal of Political Economy, 85, 451-472.

[26] Friedman, Milton and Anna J. Schwartz (1963), A Monetary History of the United States, 1867-1960. Princeton: Princeton University Press.

[27] Friedman, Milton and Anna J. Schwartz (1982), Monetary Trends in the United States and the United Kingdom: Their Relation to Income, Prices, and Interest Rates, 1867- 1975. Chicago: University of Chicago Press for NBER.

[28] Geweke, John (1986), “Superneutrality of Money in the United States: An Interpretation of the Evidence, ”Econometrica, 54, 1-22.

[29] Granger, Clive W.J. and Paul Newbold (1974), “Spurious Regressions in Econometrics,” Journal of Econometrics, 2, 110-120.

[30] Hamilton, James D. (1994), Time Series Analysis. Princeton, New Jersey: Princeton University Press.

[31] Hansen, Bruce E. (2001), “The New Econometrics of Structural Change: Dating Breaks of U.S. Labor Productivity,” Journal of Economic Perspectives, 13, 117-128.

[32] Haug, Alfred A. and William G. Dewald (2011), “Money, Output and Inflation in the Longer Term: Major Industrial Countries, 1880-2001,” in press, Economic Inquiry 49; available online at http://dx.doi.org/10.1111/j.1465-7295.2011.00382.

[33] Hodrick, Robert J and Edward C. Prescott (1997), “Postwar U.S. Business Cycles: An Empirical Investigation,” Journal of Money, Credit and Banking, 29, 1-16.

[34] Ireland, Peter (1999), “Does the Time-Consistency Problem Explain the Behavior of Inflation in the United States?” Journal of Monetary Economics, 44, 279-291.

[35] King, Robert G. and Mark Watson (1994), “The Post-war U.S. Phillips Curve: A Revisionist Econometric History,” Carnegie-Rochester Conference Series on Public Policy, 41, 157-219.

[36] King, Robert G. and Mark Watson (1997), “Testing Long-Run Neutrality,”Federal Reserve Bank of Richmond Economic Quarterly, 83, 69-101.

[37] Kumar, Alok (2010), “Labor Markets, Unemployment and Optimal Inflation”, Chapter 4 in Monetary, Fiscal, and Labor Market Policies in Frictional Economies, Lambert Academic Publishing, pp. 109-137.

[38] Lagos, Ricardo and Randall Wright (2005), “A Unified Framework for Monetary Theory and Policy,” Journal of Political Economy, 113, 463-484.

[39] Lee, Junsoo and Mark C. Strazicich (2001), “Break Point Estiamtion and Spurious Rejections With Endogenous Unit Root Tests,” Oxford Bulletin of Economics and Statistics, 63, 535-558.

[40] Liu, Lucy (2008), “Inflation and Unemployment: The Roles of Goods and Labor Markets Institutions,” Queen’s University manuscript.

[41] Lucas, Robert E. Jr. (1972), “Expectations and the Neutrality of Money,” Journal of Economic Theory, 4, 103-124.

[42] Lucas, Robert E Jr. (1980), “Two Illustrations of the Quantity Theory of Money,” American Economic Review, 70, 1005-1014.

[43] Lucas, Robert E Jr. (2000), “Inflation and Welfare,” Econometrica, 68, 247-274.

[44] Mortensen, Dale (1982), “The Matching Process as a Noncooperative/Bargaining Game,” in J.J. McCall (ed.), The Economics of Information and Uncertainty, 233-254, University of Chicago Press, Chicago.

[45] Muller, Ulrich K. and Mark W. Watson (2008), “Testing Models of Low-Frequency Variability,” Econometrica, 76, 979-1016.

[46] Ng, Serena, and Pierre Perron (2001), “Lag Length Selection and the Construction of Unit Root Tests With Good Size and Power,” Econometrica, 69, 1519-1554.

[47] Pedersen, Torben Mark (2001), “The Hodrick-Prescott Filter, the Slutsky Effect, and the Distortionary Effect of Filters,” Journal of Economic Dynamics and Control, 25, 1081-1101.

[48] Perron, Pierre (1989), “The Great Crash, the Oil Price Shock and the Unit Root Hypothesis,” Econometrica, 57, 1361-1401.

[49] Perron, Pierre and Tomoyoshi Yabu (2009), “Testing for Shifts in Trend With an Integrated or Stationary Noise Component,” Journal of Business and Economic Statistics, 27, 369-396.

[50] Phillips, Alban William, (1958), “The Relationship Between Unemployment and the Rate of Change of Money Wages in the United Kingdom 1861-1957,” Economica, 25, 283-299.

[51] Pissarides, Christopher A. (1985), “Short-Run Equilibrium Dynamics of Unemployment, Vacancies, and Real Wages,” American Economic Review, 75, 676-690.

[52] Ravn, Morten O. and Harald Uhlig (2002) “On Adjusting the Hodrick-Prescott Filter for the Frequency of Observation,” Review of Economics and Statistics, 84, 371-380.

[53] Rocheteau, Guillaume, Peter Rupert and Randall Wright (2007), “Inflation and Unemployment in General Equilibrium,” Scandinavian Journal of Economics, 109, 837-855.

[54] Rogerson, Richard (1988), “Indivisible Labor, Lotteries, and Equilibrium, ”Journal of Monetary Economics, 21, 3-16.

[55] Shi, Shouyong (1997), “A Divisible Search Model of Fiat Money,” Econometrica, 65, 75-102.

[56] Shi, Shouyong (1998), “Search for a Monetary Propagation Mechanism,” Journal of Economic Theory, 81, 314-352.

[57] Stock, James H. (1991),“Confidence Interval for the Largest Autoregressive Unit Root in U.S. Macroeconomic Time Series,” Journal of Monetary Economics, 28, 435-460.

[58] Stock, James H. and Mark W. Watson (1998), “Business Cycle Fluctuations in US Macroeconomic Time Series,” NBER Working Paper No. 6528.

[59] Stock, James H. and Mark W. Watson (2007),“Why Has U.S. Inflation Become Harder to Forecast?” Journal of Money, Credit and Banking, 39, 3-33.