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Actual and Expected Inflation in the U.S.: A Time-Frequency View

Author

Listed:
  • Yingying XU

    (School of Economics and Management, University of Scince and Technology Beijing, Beijing, P.R. China.)

  • Zhixin LIU

    (School of Economics and Management, Beihang University, Beijing, P.R. China.)

  • Jaime ORTIZ

    (Vice Provost Global Strategies and Studies, University of Houston, Houston, TX, United States.)

Abstract

This study examines the correlation between actual and expected inflation in the United States to test whether inflation expectations become self-fulfilling. Wavelet coherence analysis shows that the lead-lag linkage between actual and expected inflation varies according to factors of both frequency and time. The relationship between actual and expected inflation is more robust for frequencies longer than four years than short to medium term ones. We find leading effects of actual inflation on inflation expectations in most periods over medium and low frequencies. However, the structural changes that occurred in 2011 appear to have weakened this effect and no leading role of inflation expectations is found. Therefore, self-fulfilling inflation expectations and the “inflation-expectation” spiral do not appear to pose threats for the U.S. economy.

Suggested Citation

  • Yingying XU & Zhixin LIU & Jaime ORTIZ, 2018. "Actual and Expected Inflation in the U.S.: A Time-Frequency View," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(1), pages 42-62, December.
  • Handle: RePEc:rjr:romjef:v::y:2018:i:1:p:42-62
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    1. Leduc, Sylvain & Sill, Keith & Stark, Tom, 2007. "Self-fulfilling expectations and the inflation of the 1970s: Evidence from the Livingston Survey," Journal of Monetary Economics, Elsevier, vol. 54(2), pages 433-459, March.
    2. Lanne, Markku & Luoma, Arto & Luoto, Jani, 2009. "A naïve sticky information model of households' inflation expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 33(6), pages 1332-1344, June.
    3. Akoum, Ibrahim & Graham, Michael & Kivihaho, Jarno & Nikkinen, Jussi & Omran, Mohammed, 2012. "Co-movement of oil and stock prices in the GCC region: A wavelet analysis," The Quarterly Review of Economics and Finance, Elsevier, vol. 52(4), pages 385-394.
    4. Ueda, Kozo, 2010. "Determinants of households' inflation expectations in Japan and the United States," Journal of the Japanese and International Economies, Elsevier, vol. 24(4), pages 503-518, December.
    5. Michael T. Kiley, 2007. "A Quantitative Comparison of Sticky-Price and Sticky-Information Models of Price Setting," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(s1), pages 101-125, February.
    6. Carlos A. Carrasco & Jesus Ferreiro, 2013. "Inflation targeting and inflation expectations in Mexico," Applied Economics, Taylor & Francis Journals, vol. 45(23), pages 3295-3304, August.
    7. N. Gregory Mankiw & Ricardo Reis, 2002. "Sticky Information versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve," The Quarterly Journal of Economics, Oxford University Press, vol. 117(4), pages 1295-1328.
    8. Ball, Laurence & Gregory Mankiw, N. & Reis, Ricardo, 2005. "Monetary policy for inattentive economies," Journal of Monetary Economics, Elsevier, vol. 52(4), pages 703-725, May.
    9. Paul Hubert & Harun Mirza, 2014. "Inflation expectation dynamics: the role of past present and forward looking information," Sciences Po publications 2014-07, Sciences Po.
    10. Vasilios Plakandaras & Periklis Gogas & Rangan Gupta & Theophilos Papadimitriou, 2015. "US inflation dynamics on long-range data," Applied Economics, Taylor & Francis Journals, vol. 47(36), pages 3874-3890, August.
    11. Jeremy Rudd & Karl Whelan, 2007. "Modeling Inflation Dynamics: A Critical Review of Recent Research," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(s1), pages 155-170, February.
    12. Christopher Martin & Costas Milas, 2009. "Uncertainty And Monetary Policy Rules In The United States," Economic Inquiry, Western Economic Association International, vol. 47(2), pages 206-215, April.
    13. Sophocles Mavroeidis & Mikkel Plagborg-Møller & James H. Stock, 2014. "Empirical Evidence on Inflation Expectations in the New Keynesian Phillips Curve," Journal of Economic Literature, American Economic Association, vol. 52(1), pages 124-188, March.
    14. Meredith J. Beechey & Benjamin K. Johannsen & Andrew T. Levin, 2011. "Are Long-Run Inflation Expectations Anchored More Firmly in the Euro Area Than in the United States?," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(2), pages 104-129, April.
    15. Aguiar-Conraria, LuI´s & Joana Soares, Maria, 2011. "Business cycle synchronization and the Euro: A wavelet analysis," Journal of Macroeconomics, Elsevier, vol. 33(3), pages 477-489, September.
    16. Galí, Jordi & Gertler, Mark, 1999. "Inflation Dynamics: A Structural Economic Analysis," CEPR Discussion Papers 2246, C.E.P.R. Discussion Papers.
    17. Jahyun Koo & Ivan Paya & David A. Peel, 2010. "Further empirical evidence of nonlinearity in the us monetary policy rule," Economics Bulletin, AccessEcon, vol. 30(3), pages 2464-2477.
    18. Khan, Hashmat & Zhu, Zhenhua, 2006. "Estimates of the Sticky-Information Phillips Curve for the United States," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(1), pages 195-207, February.
    19. Kim, Sangbae & In, Francis, 2005. "The relationship between stock returns and inflation: new evidence from wavelet analysis," Journal of Empirical Finance, Elsevier, vol. 12(3), pages 435-444, June.
    20. Bharat Trehan, 2015. "Survey Measures of Expected Inflation and the Inflation Process," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 47(1), pages 207-222, February.
    21. Gary Koop & Luca Onorante, 2011. "Estimating Phillips Curves in Turbulent Times using the ECBs Survey of Professional Forecasters," Working Papers 1109, University of Strathclyde Business School, Department of Economics.
    22. Refet S. Gürkaynak & Jonathan H. Wright, 2012. "Macroeconomics and the Term Structure," Journal of Economic Literature, American Economic Association, vol. 50(2), pages 331-367, June.
    23. Durai, S. Raja Sethu & Bhaduri, Saumitra N., 2009. "Stock prices, inflation and output: Evidence from wavelet analysis," Economic Modelling, Elsevier, vol. 26(5), pages 1089-1092, September.
    24. Chengsi Zhang & Denise R. Osborn & Dong Heon Kim, 2008. "The New Keynesian Phillips Curve: From Sticky Inflation to Sticky Prices," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(4), pages 667-699, June.
    25. Klaus Adam & Mario Padula, 2011. "Inflation Dynamics And Subjective Expectations In The United States," Economic Inquiry, Western Economic Association International, vol. 49(1), pages 13-25, January.
    26. António Rua, 2012. "Money Growth and Inflation in the Euro Area: A Time-Frequency View," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(6), pages 875-885, December.
    27. Michael Debabrata Patra & Partha Ray, 2010. "Inflation Expectations and Monetary Policy in India: An Empirical Exploration," IMF Working Papers 2010/084, International Monetary Fund.
    28. Jiang, Chun & Chang, Tsangyao & Li, Xiao-Lin, 2015. "Money growth and inflation in China: New evidence from a wavelet analysis," International Review of Economics & Finance, Elsevier, vol. 35(C), pages 249-261.
    29. Carlos Carrasco & Jesus Ferreiro, 2013. "Inflation targeting in Mexico," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 35(3), pages 341-372.
    30. Tiwari, Aviral Kumar & Mutascu, Mihai & Andries, Alin Marius, 2013. "Decomposing time-frequency relationship between producer price and consumer price indices in Romania through wavelet analysis," Economic Modelling, Elsevier, vol. 31(C), pages 151-159.
    31. Sylvain Leduc & Keith Sill, 2013. "Expectations and Economic Fluctuations: An Analysis Using Survey Data," The Review of Economics and Statistics, MIT Press, vol. 95(4), pages 1352-1367, October.
    32. Rafiq, Sohrab, 2014. "Decomposing U.K. Inflation Expectations Using Survey-Based Measures," Macroeconomic Dynamics, Cambridge University Press, vol. 18(7), pages 1508-1538, October.
    33. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    34. Girardi, Alessandro, 2014. "Expectations and macroeconomic fluctuations in the euro area," Economics Letters, Elsevier, vol. 125(2), pages 315-318.
    35. MacDonald, Ronald & Taylor, Mark P., 1992. "A stable US money demand function, 1874-1975," Economics Letters, Elsevier, vol. 39(2), pages 191-198, June.
    36. Umoru David & Tizhe N. Ann, 2014. "Causality Dynamics between Money Supply and Inflation in Nigeria: A Toda-Yamamoto Test and Error Correction Analysis," Journal of Empirical Economics, Research Academy of Social Sciences, vol. 3(2), pages 63-75.
    37. Marco Gallegati & Mauro Gallegati & James Bernard Ramsey & Willi Semmler, 2011. "The US Wage Phillips Curve across Frequencies and over Time," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 73(4), pages 489-508, August.
    38. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October.
    39. repec:hal:wpspec:info:hdl:2441/6g0gsihsjmn5snc9pb0hlas97 is not listed on IDEAS
    40. Ricardo Reis, 2009. "Optimal Monetary Policy Rules in an Estimated Sticky-Information Model," American Economic Journal: Macroeconomics, American Economic Association, vol. 1(2), pages 1-28, July.
    41. Olivier Coibion, 2010. "Testing the Sticky Information Phillips Curve," The Review of Economics and Statistics, MIT Press, vol. 92(1), pages 87-101, February.
    42. Gallegati, Marco, 2008. "Wavelet analysis of stock returns and aggregate economic activity," Computational Statistics & Data Analysis, Elsevier, vol. 52(6), pages 3061-3074, February.
    43. Bob Nobay & Ivan Paya & David A. Peel, 2010. "Inflation Dynamics in the U.S.: Global but Not Local Mean Reversion," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(1), pages 135-150, February.
    44. Balcilar, Mehmet & Ozdemir, Zeynel Abidin & Arslanturk, Yalcin, 2010. "Economic growth and energy consumption causal nexus viewed through a bootstrap rolling window," Energy Economics, Elsevier, vol. 32(6), pages 1398-1410, November.
    45. Christopher D. Carroll, 2003. "Macroeconomic Expectations of Households and Professional Forecasters," The Quarterly Journal of Economics, Oxford University Press, vol. 118(1), pages 269-298.
    46. Jan Marc Berk, 2002. "Consumers' Inflation Expectations And Monetary Policy In Europe," Contemporary Economic Policy, Western Economic Association International, vol. 20(2), pages 122-132, April.
    47. Bill Dupor & Tomiyuki Kitamura & Takayuki Tsuruga, 2010. "Integrating Sticky Prices and Sticky Information," The Review of Economics and Statistics, MIT Press, vol. 92(3), pages 657-669, August.
    48. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    49. Yingying Xu & Zhi-Xin Liu & Hsu-Ling Chang & Adelina Dumitrescu Peculea & Chi-Wei Su, 2017. "Does self-fulfilment of the inflation expectation exist?," Applied Economics, Taylor & Francis Journals, vol. 49(11), pages 1098-1113, March.
    50. Pfajfar, D. & Santoro, E., 2008. "Asymmetries in Inflation Expectation Formation Across Demographic Groups," Cambridge Working Papers in Economics 0824, Faculty of Economics, University of Cambridge.
    51. Nalan Baştürk & Cem Çakmakli & S. Pinar Ceyhan & Herman K. Van Dijk, 2014. "Posterior‐Predictive Evidence On Us Inflation Using Extended New Keynesian Phillips Curve Models With Non‐Filtered Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(7), pages 1164-1182, November.
    52. Caraiani, Petre, 2012. "Money and output: New evidence based on wavelet coherence," Economics Letters, Elsevier, vol. 116(3), pages 547-550.
    53. Strohsal, Till & Winkelmann, Lars, 2015. "Assessing the anchoring of inflation expectations," Journal of International Money and Finance, Elsevier, vol. 50(C), pages 33-48.
    54. repec:hal:spmain:info:hdl:2441/6g0gsihsjmn5snc9pb0hlas97 is not listed on IDEAS
    55. Jian Wang & Junfeng Zhu & Feifei Dou, 2012. "Who Plays the Key Role among Shanghai, Shenzhen and Hong Kong Stock Markets?," China & World Economy, Institute of World Economics and Politics, Chinese Academy of Social Sciences, vol. 20(6), pages 102-120, November.
    56. Grothe, Magdalena & Lejsgaard Autrup, Søren, 2014. "Economic surprises and inflation expectations: Has anchoring of expectations survived the crisis?," Working Paper Series 1671, European Central Bank.
    57. Graham, Michael & Kiviaho, Jarno & Nikkinen, Jussi, 2012. "Integration of 22 emerging stock markets: A three-dimensional analysis," Global Finance Journal, Elsevier, vol. 23(1), pages 34-47.
    58. Jun Il Kim & Jungick Lee, 2013. "How important are inflation expectations in driving Asian inflation?," BIS Papers chapters, in: Bank for International Settlements (ed.), Globalisation and inflation dynamics in Asia and the Pacific, volume 70, pages 41-63, Bank for International Settlements.
    59. Mehmet Balcilar & Zeynel Ozdemir, 2013. "The export-output growth nexus in Japan: a bootstrap rolling window approach," Empirical Economics, Springer, vol. 44(2), pages 639-660, April.
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    More about this item

    Keywords

    inflation; expectation; self-fulfillment; wavelet analysis; time domain; frequency domain;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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