IDEAS home Printed from https://ideas.repec.org/p/pre/wpaper/201591.html
   My bibliography  Save this paper

Time-Frequency Relationship between Inflation and Inflation Uncertainty for the U.S.: Evidence from Historical Data

Author

Listed:
  • Claudiu T. Albulescu

    () (Management Department, Politehnica University of Timisoara, Romania)

  • Aviral Kumar Twari

    () (Faculty of Management, IBS Hyderabad, IFHE University, India)

  • Stephen M. Miller

    () (Department of Economics, University of Nevada, USA.)

  • Rangan Gupta

    () (Department of Economics, University of Pretoria)

Abstract

We provide new evidence on the relationship between inflation and its uncertainty in the U.S. on an historical basis, covering the period 1775-2014. First, we use a bounded approach for measuring inflation uncertainty, as proposed by Chan et al. (2013), and we compare the results with the Stock and Watson (2007) method. Second, we employ the wavelet methodology to analyze the co-movements and causal effects between the two series. Our results provide evidence of a relationship between inflation and its uncertainty that varies across time and frequency. First, we show that in the medium- and long-runs, the Freidman–Ball hypothesis holds when the measure of uncertainty is unbounded, while if the opposite applies, the Cukierman–Meltzer reasoning prevails. Second, we discover mixed evidence about the inflation–uncertainty nexus in the short-run, findings which explain the mixed results reported to date in the empirical literature.

Suggested Citation

  • Claudiu T. Albulescu & Aviral Kumar Twari & Stephen M. Miller & Rangan Gupta, 2015. "Time-Frequency Relationship between Inflation and Inflation Uncertainty for the U.S.: Evidence from Historical Data," Working Papers 201591, University of Pretoria, Department of Economics.
  • Handle: RePEc:pre:wpaper:201591
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Christian Grimme & Steffen Henzel & Elisabeth Wieland, 2014. "Inflation uncertainty revisited: a proposal for robust measurement," Empirical Economics, Springer, vol. 47(4), pages 1497-1523, December.
    2. Dejan Živkov & Jovan Njegic & Marko Pecanac, 2014. "Bidirectional linkage between inflation and inflation uncertainty – the case of Eastern European countries," Baltic Journal of Economics, Baltic International Centre for Economic Policy Studies, vol. 14(1-2), pages 124-139, December.
    3. Glezakos, Constantine & Nugent, Jeffrey B., 1987. "The relationship between the rate of inflation and its unpredictability in high inflation Latin American countries," World Development, Elsevier, vol. 15(2), pages 291-293, February.
    4. Cukierman, Alex & Meltzer, Allan H, 1986. "A Theory of Ambiguity, Credibility, and Inflation under Discretion and Asymmetric Information," Econometrica, Econometric Society, vol. 54(5), pages 1099-1128, September.
    5. Hwang, Y., 2001. "Relationship between inflation rate and inflation uncertainty," Economics Letters, Elsevier, vol. 73(2), pages 179-186, November.
    6. Thornton, John, 2008. "Inflation and inflation uncertainty in Argentina, 1810-2005," Economics Letters, Elsevier, vol. 98(3), pages 247-252, March.
    7. Ball, Laurence, 1992. "Why does high inflation raise inflation uncertainty?," Journal of Monetary Economics, Elsevier, vol. 29(3), pages 371-388, June.
    8. Timothy Cogley & Giorgio E. Primiceri & Thomas J. Sargent, 2010. "Inflation-Gap Persistence in the US," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(1), pages 43-69, January.
    9. Joshua C. C. Chan & Gary Koop & Simon M. Potter, 2013. "A New Model of Trend Inflation," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 31(1), pages 94-106, January.
    10. Kontonikas, A., 2004. "Inflation and inflation uncertainty in the United Kingdom, evidence from GARCH modelling," Economic Modelling, Elsevier, vol. 21(3), pages 525-543, May.
    11. Fountas, Stilianos & Karanasos, Menelaos, 2007. "Inflation, output growth, and nominal and real uncertainty: Empirical evidence for the G7," Journal of International Money and Finance, Elsevier, vol. 26(2), pages 229-250, March.
    12. Paúl Castillo & Alberto Humala & Vicente Tuesta, 2012. "Regime shifts and inflation uncertainty in Peru," Journal of Applied Economics, Universidad del CEMA, vol. 15, pages 71-87, May.
    13. Mehmet Balcilar & Zeynel Abidin Ozdemir & Esin Cakan, 2011. "On the nonlinear causality between inflation and inflation uncertainty in the G3 countries :," Journal of Applied Economics, Universidad del CEMA, vol. 14, pages 269-296, November.
    14. Guglielmo Caporale & Luca Onorante & Paolo Paesani, 2012. "Inflation and inflation uncertainty in the euro area," Empirical Economics, Springer, vol. 43(2), pages 597-615, October.
    15. James H. Stock & Mark W. Watson, 2007. "Erratum to "Why Has U.S. Inflation Become Harder to Forecast?"," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(7), pages 1849-1849, October.
    16. Kim, Chang-Jin, 1993. "Unobserved-Component Time Series Models with Markov-Switching Heteroscedasticity: Changes in Regime and the Link between Inflation Rates and Inflation Uncertainty," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(3), pages 341-349, July.
    17. Fountas, Stilianos, 2001. "The relationship between inflation and inflation uncertainty in the UK: 1885-1998," Economics Letters, Elsevier, vol. 74(1), pages 77-83, December.
    18. Rua, António & Nunes, Luís C., 2009. "International comovement of stock market returns: A wavelet analysis," Journal of Empirical Finance, Elsevier, vol. 16(4), pages 632-639, September.
    19. Friedman, Milton, 1977. "Nobel Lecture: Inflation and Unemployment," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 451-472, June.
    20. Jamal Bouoiyour & Refk Selmi, 2014. "The Nexus between Inflation and Inflation Uncertainty via wavelet approach: Some Lessons from Egyptian case," Economics Bulletin, AccessEcon, vol. 34(4), pages 2093-2106.
    21. Ramprasad Bhar & Girijasankar Mallik, 2013. "Inflation uncertainty, growth uncertainty, oil prices, and output growth in the UK," Empirical Economics, Springer, vol. 45(3), pages 1333-1350, December.
    22. Grier, Kevin B. & Perry, Mark J., 1998. "On inflation and inflation uncertainty in the G7 countries," Journal of International Money and Finance, Elsevier, vol. 17(4), pages 671-689, August.
    23. Abdur Chowdhury, 2014. "Inflation and inflation-uncertainty in India: the policy implications of the relationship," Journal of Economic Studies, Emerald Group Publishing, vol. 41(1), pages 71 - 86, January.
    24. Siti Hamizah Mohd & Ahmad Zubaidi Baharumshah & Stilianos Fountas, 2013. "Inflation, Inflation Uncertainty And Output Growth: Recent Evidence From Asean-5 Countries," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 58(04), pages 1-17.
    25. Holland, A Steven, 1995. "Inflation and Uncertainty: Tests for Temporal Ordering," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(3), pages 827-837, August.
    26. Abidin Ozdemir, Zeynel & Fisunoglu, Mahir, 2008. "On the inflation-uncertainty hypothesis in Jordan, Philippines and Turkey: A long memory approach," International Review of Economics & Finance, Elsevier, vol. 17(1), pages 1-12.
    27. Komain Jiranyakul & Timothy P. Opiela, 2011. "The Impact of Inflation Uncertainty on Output Growth and Inflation in Thailand," Asian Economic Journal, East Asian Economic Association, vol. 25(3), pages 291-307, September.
    28. Buth, Bora & Kakinaka, Makoto & Miyamoto, Hiroaki, 2015. "Inflation and inflation uncertainty: The case of Cambodia, Lao PDR, and Vietnam," Journal of Asian Economics, Elsevier, vol. 38(C), pages 31-43.
    29. Mehmet Balcilar & Zeynel Abidin Ozdemir, 2013. "Asymmetric and Time-Varying Causality between Inflation and Inflation Uncertainty in G-7 Countries," Scottish Journal of Political Economy, Scottish Economic Society, vol. 60(1), pages 1-42, February.
    30. Pourgerami, Abbas & Maskus, Keith E., 1987. "The effects of inflation on the predictability of price changes in Latin America: Some estimates and policy implications," World Development, Elsevier, vol. 15(2), pages 287-290, February.
    31. Zeynel Abidin Ozdemir, 2010. "Dynamics Of Inflation, Output Growth And Their Uncertainty In The Uk: An Empirical Analysis," Manchester School, University of Manchester, vol. 78(6), pages 511-537, December.
    32. James H. Stock & Mark W. Watson, 2007. "Why Has U.S. Inflation Become Harder to Forecast?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(s1), pages 3-33, February.
    33. Baillie, Richard T & Chung, Ching-Fan & Tieslau, Margie A, 1996. "Analysing Inflation by the Fractionally Integrated ARFIMA-GARCH Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(1), pages 23-40, Jan.-Feb..
    34. Daal, Elton & Naka, Atsuyuki & Sanchez, Benito, 2005. "Re-examining inflation and inflation uncertainty in developed and emerging countries," Economics Letters, Elsevier, vol. 89(2), pages 180-186, November.
    35. Conrad, C. & Karanasos, M., 2005. "On the inflation-uncertainty hypothesis in the USA, Japan and the UK: a dual long memory approach," Japan and the World Economy, Elsevier, vol. 17(3), pages 327-343, August.
    36. John Thornton, 2007. "The Relationship between Inflation and Inflation Uncertainty in Emerging Market Economies," Southern Economic Journal, Southern Economic Association, vol. 73(4), pages 858-870, April.
    37. Glezakos, Constantine & Nugent, Jeffrey B., 1984. "Price instability and inflation: The Latin American case," World Development, Elsevier, vol. 12(7), pages 755-758, July.
    38. Hartmann, Matthias & Herwartz, Helmut, 2012. "Causal relations between inflation and inflation uncertainty—Cross sectional evidence in favour of the Friedman–Ball hypothesis," Economics Letters, Elsevier, vol. 115(2), pages 144-147.
    39. Nasr, Adnen Ben & Balcilar, Mehmet & Ajmi, Ahdi N. & Aye, Goodness C. & Gupta, Rangan & van Eyden, Reneé, 2015. "Causality between inflation and inflation uncertainty in South Africa: Evidence from a Markov-switching vector autoregressive model," Emerging Markets Review, Elsevier, vol. 24(C), pages 46-68.
    40. James E. Payne, 2008. "Inflation and inflation uncertainty: evidence from the Caribbean region," Journal of Economic Studies, Emerald Group Publishing, vol. 35(6), pages 501-511, October.
    41. Ungar, Meyer & Zilberfarb, Ben-Zion, 1993. "Inflation and Its Unpredictability--Theory and Empirical Evidence," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 25(4), pages 709-720, November.
    42. Chen, Shyh-Wei & Shen, Chung-Hua & Xie, Zixiong, 2008. "Evidence of a nonlinear relationship between inflation and inflation uncertainty: The case of the four little dragons," Journal of Policy Modeling, Elsevier, vol. 30(2), pages 363-376.
    43. Kevin B. Grier & Mark J. Perry, 2000. "The effects of real and nominal uncertainty on inflation and output growth: some garch-m evidence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(1), pages 45-58.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jiranyakul, Komain, 2020. "The Linkages between Inflation and Inflation Uncertainty in Selected Asian Economies: Evidence from Quantile Regression," MPRA Paper 99868, University Library of Munich, Germany.
    2. Alimi, R. Santos, 2017. "Association between inflation rates and inflation uncertainty in quantile regression," MPRA Paper 79683, University Library of Munich, Germany.
    3. Claudiu Tiberiu Albulescu & Cornel Oros, 2020. "Inflation, uncertainty, and labour market conditions in the US," Applied Economics, Taylor & Francis Journals, vol. 52(52), pages 5770-5782, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nora Abu Asab & Juan Carlos Cuestas & Alberto Montagnoli, 2018. "Inflation targeting or exchange rate targeting: Which framework supports the goal of price stability in emerging market economies?," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-21, August.
    2. Nasr, Adnen Ben & Balcilar, Mehmet & Ajmi, Ahdi N. & Aye, Goodness C. & Gupta, Rangan & van Eyden, Reneé, 2015. "Causality between inflation and inflation uncertainty in South Africa: Evidence from a Markov-switching vector autoregressive model," Emerging Markets Review, Elsevier, vol. 24(C), pages 46-68.
    3. Claudiu Tiberiu Albulescu & Cornel Oros, 2020. "Inflation, uncertainty, and labour market conditions in the US," Applied Economics, Taylor & Francis Journals, vol. 52(52), pages 5770-5782, November.
    4. Said Zamin Shah & Said Zamin Shah & Ahmad Zubaidi Baharumshah & Muzafar Shah Habibullah & Law Siong Hook, 2017. "The Asymmetric Effects of Real and Nominal Uncertainty on Inflation and Output Growth: Empirical Evidence from Bangladesh," International Journal of Economics and Financial Issues, Econjournals, vol. 7(1), pages 377-386.
    5. Buth, Bora & Kakinaka, Makoto & Miyamoto, Hiroaki, 2015. "Inflation and inflation uncertainty: The case of Cambodia, Lao PDR, and Vietnam," Journal of Asian Economics, Elsevier, vol. 38(C), pages 31-43.
    6. Mehdi Hajamini, 2019. "Asymmetric Causality Between Inflation and Uncertainty: Evidences from 33 Developed and Developing Countries," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 17(2), pages 287-309, June.
    7. Diego Ferreira & Andreza Aparecida Palma, 2018. "Inflation And Inflation Uncertainty In Latin America: A Time-Varying Stochastic Volatility In Mean Approach," Anais do XLIV Encontro Nacional de Economia [Proceedings of the 44th Brazilian Economics Meeting] 125, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    8. Zeynel Abidin Ozdemir, 2010. "Dynamics Of Inflation, Output Growth And Their Uncertainty In The Uk: An Empirical Analysis," Manchester School, University of Manchester, vol. 78(6), pages 511-537, December.
    9. James Payne, 2009. "Inflation targeting and the inflation-inflation uncertainty relationship: evidence from Thailand," Applied Economics Letters, Taylor & Francis Journals, vol. 16(3), pages 233-238.
    10. Chang, Kuang-Liang, 2012. "The impacts of regime-switching structures and fat-tailed characteristics on the relationship between inflation and inflation uncertainty," Journal of Macroeconomics, Elsevier, vol. 34(2), pages 523-536.
    11. James Payne, 2009. "Official dollarization in El Salvador and the inflation-inflation uncertainty nexus," Applied Economics Letters, Taylor & Francis Journals, vol. 16(12), pages 1195-1199.
    12. Akhand Akhtar Hossain & Popkarn Arwatchanakarn, 2016. "Inflation and inflation volatility in Thailand," Applied Economics, Taylor & Francis Journals, vol. 48(30), pages 2792-2806, June.
    13. Said Zamin Shah & Ahmad Zubaidi Baharumshah & Muzafar Shah Habibullah, 2019. "Dynamic Linkages and Volatility Transmissions between Macroeconomic Uncertainty and Performance: Evidence from South Asian Countries," Journal of South Asian Development, , vol. 14(3), pages 281-313, December.
    14. Ahmad Zubaidi Baharumshah & Siew-Voon Soon, 2014. "Inflation, inflation uncertainty and output growth: what does the data say for Malaysia?," Journal of Economic Studies, Emerald Group Publishing, vol. 41(3), pages 370-386, May.
    15. WenShwo Fang & Stephen Miller & Chih-Chuan Yeh, 2010. "Does a threshold inflation rate exist? Quantile inferences for inflation and its variability," Empirical Economics, Springer, vol. 39(3), pages 619-641, December.
    16. Tariq A.H. Al-Zuhd & Mohammad H. Saleh, 2017. "Inflation and Inflation Uncertainty Nexus in Kuwait: A GARCH Modeling Approach," International Journal of Economics and Financial Issues, Econjournals, vol. 7(5), pages 198-203.
    17. Mesbah Fathy Sharaf, 2015. "Inflation and Inflation Uncertainty Revisited: Evidence from Egypt," Economies, MDPI, Open Access Journal, vol. 3(3), pages 1-19, July.
    18. Hassan Heidari & Salih Turan Katircioglu & Sahar Bashiri, 2013. "Inflation, inflation uncertainty and growth in the Iranian economy: an application of BGARCH-M model with BEKK approach," Journal of Business Economics and Management, Taylor & Francis Journals, vol. 14(5), pages 819-832, November.
    19. Chi-Wei Su & Hui Yu & Hsu-Ling Chang & Xiao-Lin Li, 2017. "How does inflation determine inflation uncertainty? A Chinese perspective," Quality & Quantity: International Journal of Methodology, Springer, vol. 51(3), pages 1417-1434, May.
    20. Dong-Hyeon Kim & Shu-Chin Lin, 2012. "Inflation and Inflation Volatility Revisited," International Finance, Wiley Blackwell, vol. 15(3), pages 327-345, December.

    More about this item

    Keywords

    historical inflation rate; uncertainty; continuous wavelet transform; bounded series; U.S.;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • N11 - Economic History - - Macroeconomics and Monetary Economics; Industrial Structure; Growth; Fluctuations - - - U.S.; Canada: Pre-1913
    • N12 - Economic History - - Macroeconomics and Monetary Economics; Industrial Structure; Growth; Fluctuations - - - U.S.; Canada: 1913-

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pre:wpaper:201591. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Rangan Gupta). General contact details of provider: http://edirc.repec.org/data/decupza.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.