Author information:
Péter Simon https://orcid.org/0009-0002-7333-6384: Magyar Nemzeti Bank, Analyst. E-mail: simonp@mnb.hu
Abstract:
Different theories of money lead to different conclusions about whether there is a stable long-run relationship between money growth and inflation. In this analysis, the author examines the wavelet coherency between the growth in the M2 monetary aggregate and inflation in Hungary. Based on the findings, there is no robust long-run relationship between the two variables. When filtering out movements in the HUF exchange rate, the coherency between money growth and inflation is eliminated even over the period from the mid-2000s to the early 2010s. This also empirically supports the assumption that monetary policy does not affect inflation by shaping the money supply
Cite as (APA):
Simon, P. (2023). Analysis of the Relationship between Money Growth and Inflation Using Wavelet Coherency. Financial and Economic Review, 22(4), 58–81. https://doi.org/10.33893/FER.22.4.58
Column:
Study
Journal of Economic Literature (JEL) codes:
C10, E31, E40
Keywords:
inflation, money supply, interest rates, wavelet transform
References:
Ábel, I. – Lehmann, K. – Tapaszti, A. (2016): The controversial treatment of money and banks in macroeconomics. Financial and Economic Review, 15(2): 33–58. https://en-hitelintezetiszemle.mnb.hu/letoltes/istvan-abel-kristof-lehmann-attila-tapaszti-en.pdf
Ábel, I. (2019): Pénz és kamat: A monetáris politika megújítása (Money and Interest Rate. A New Approach to Monetary Policy). Budapest Business University, Budapest. https://doi.org/10.29180/Penz-es-kamat.2019
Aguiar-Conraria, L. – Soares, M.J. (2014): The continuous wavelet transform: Moving beyond uni- and bivariate analysis. Journal of Economic Surveys, 28(2): 344–375. https://doi.org/10.1111/joes.12012
Alvarez-Plata, P. – García-Herrero, A. (2008): To Dollarize or De-Dollarize: Consequences for Monetary Policy. DIW Berlin Discussion Paper No. 842, BVA Working Paper No. 0921. https://doi.org/10.2139/ssrn.1428828
Békési, L. – Köber, Cs. – Kucsera, H. – Várnai, T. – Világi, B. (2016): The macroeconomic forecasting model of the MNB. MNB Working Papers 2016/4, Magyar Nemzeti Bank. https://www.mnb.hu/letoltes/mnb-wp-2016-4-final.pdf
Benati, L. (2009): Long-Run Evidence on Money Growth and Inflation. ECB Working Paper No. 1027, European Central Bank. https://doi.org/10.2139/ssrn.1345758
Berger, H. – Karlsson, S. – Österholm, P. (2023): A Note of Caution on the Relation Between Money Growth and Inflation. IMF Working Paper No. 2023/137, International Monetary Fund. https://doi.org/10.5089/9798400244834.001
Bethlendi, A. – Czeti, T. – Krekó, J. – Nagy, M. – Palotai, D. (2005): A magánszektor devizahitelezésének mozgatórugói (Driving forces behind private sector foreign currency lending in Hungary). MNB Háttértanulmányok (Background studies) 2005/2, Magyar Nemzeti Bank. https://www.mnb.hu/en/publications/archives/background-studies/bs-2005-2-andras-bethlend-tamas-czeti-judit-kreko-marton-nagy-daniel-palotai-driving-forces-behind-private-sector-foreign-currency-lending-in-hungary
Borio, C. – Zabai, A. (2018): Unconventional monetary policies: a re-appraisal. In: Conti-Brown, P. – Lastra, R.M. (eds.): Research Handbook on Central Banking, Edward Elgar Publishing, pp. 398–444. https://doi.org/10.4337/9781784719227.00026
Carstensen, K. (2007): Is core money growth a good and stable inflation predictor in the euro area? Kiel Working Paper No. 1318, Kiel Institute for the World Economy. http://hdl.handle.net/10419/17842
Cazelles, B. – Chavez, M. – de Magny, G.C. – Guégan, J.-F. – Hales, S. (2007): Time-dependent spectral analysis of epidemiological time-series with wavelets. Journal of the Royal Society Interface, 4(15): 625–636. https://doi.org/10.1098/rsif.2007.0212
Cohen, E.A. – Walden, A.T. (2010): A Statistical Study of Temporally Smoothed Wavelet Coherence. IEEE Transactions on Signal Processing, 58(6): 2964–2973. https://doi.org/10.1109/TSP.2010.2043139
Csiki, M. (2022): The Relationship Between Asset Purchases, Monetary Aggregates, and Inflation Between 2007 and 2022 – an Example of the Federal Reserve. Public Finance Quarterly, 67(2): 248–269. https://doi.org/10.35551/PFQ_2022_2_6
Daubechies, I. (1992): Ten Lectures on Wavelets. CBMS-NSF Regional Conference Series in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia (PA), US. https://doi.org/10.1137/1.9781611970104
De Grauwe, P. – Polan, M. (2005): Is Inflation Always and Everywhere a Monetary Phenomenon? Scandinavian Journal of Economics, 107(2): 239–259. https://doi.org/10.1111/j.1467-9442.2005.00406.x
Estrella, A. – Mishkin, F.S. (1997): Is there a role for monetary aggregates in the conduct of monetary policy? Journal of Monetary Economics, 40(2): 279–304. https://doi.org/10.1016/S0304-3932(97)00044-5
Fornaro, L. – Wolf, M. (2023): The scars of supply shocks: Implications for monetary policy. Journal of Monetary Economics, forthcoming. https://doi.org/10.1016/j.jmoneco.2023.04.003
Ge, Z. (2008): Significance tests for the wavelet cross spectrum and wavelet linear coherence. Annales Geophysicae, 26(12): 3819–3829. https://doi.org/10.5194/angeo-26-3819-2008
Gertler, P. – Hofmann, B. (2018): Monetary facts revisited. Journal of International Money and Finance, 86: 154–170. https://doi.org/10.1016/j.jimonfin.2018.04.006
Gouhier, T.C. – Grinsted, A. – Simko, V. (2021): Package ‘biwavelet’: Conduct Univariate and Bivariate Wavelet Analyses (Version 0.20.21). https://cran.r-project.org/web/packages/biwavelet/biwavelet.pdf. Downloaded: 14 December 2023.
Grinsted, A. – Moore, J. C. – Jevrejeva, S. (2004): Application of the cross wavelet transform and wavelet coherence to geophysical time series. Nonlinear Processes in Geophysics, 11(5/6): 561–566. https://doi.org/10.5194/npg-11-561-2004
Hajnal, G. – Hosszú, Zs. – Ozoróczy, Á.A. – Dancsik, B. (2023): Betéti kamattranszmisszió becslése a közép-kelet-európai országokban wavelet-transzformáció és hibakorrekciós modell segítségével (Estimating Deposit Interest Rate Transmission in Central and Eastern European Countries Using Wavelet Transform and an Error Correction Model). Under review in the MNB Occasional Papers series.
Hallman, J.J. – Porter, R.D. – Small, D.H. (1991): Is the Price Level Tied to the M2 Monetary Aggregate in the Long Run? American Economic Review, 81(4): 841–858. https://www.jstor.org/stable/2006645
Haug, A.A. – Dewald, W.G. (2004): Longer-Term Effects of Monetary Growth on Real and Nominal Variables, Major Industrial Countries, 1880–2001. Working Paper No. 382, European Central Bank. https://doi.org/10.2139/ssrn.569629
Hofmann, B. (2006): Do monetary indicators (still) predict euro area inflation? Discussion Paper Series 1: Economic Studies, No. 18/2006, Deutsche Bundesbank. https://doi.org/10.2139/ssrn.2785244
Hosszú, Zs. – Lakos, G. (2021): Early Warning Performance of Univariate Credit-to-GDP Gaps. Occasional Papers 142, Magyar Nemzeti Bank. https://www.mnb.hu/letoltes/mnb-op-142-final.pdf
Hudgins, L. – Friehe, C.A. – Mayer, M.E. (1993): Wavelet transforms and atmospheric turbulence. Physical Review Letters, 71(20): 3279–3282. https://doi.org/10.1103/PhysRevLett.71.3279
Jiang, C. – Chang, T. – Li, X.L. (2015): Money growth and inflation in China: New evidence from a wavelet analysis. International Review of Economics & Finance, 35: 249–261. https://doi.org/10.1016/j.iref.2014.10.005
Kolozsi, P.P. – Banai, Á. – Vonnák, B. (2015): Phasing out household foreign currency loans: schedule and framework. Financial and Economic Review, 14(3): 60–87. https://en-hitelintezetiszemle.mnb.hu/letoltes/3-kolozsi-banai-vonnak-en.pdf
Komáromi, A. (2007): The effect of the monetary base on money supply – Does the quantity of central bank money carry any information? MNB Bulletin, 2(1): 31–37. https://www.mnb.hu/letoltes/bulletin-2007june-komaromi.pdf
Levy Yeyati, E. (2006): Financial dollarization: Evaluating the consequences. Economic. Economic Policy, 21(45): 62–118. https://doi.org/10.1111/j.1468-0327.2006.00154.x
Liu, Y. – San Liang, X. – Weisberg, R.H. (2007): Rectification of the Bias in the Wavelet Power Spectrum. Journal of Atmospheric and Oceanic Technology, 24(12): 2093–2102. https://doi.org/10.1175/2007JTECHO511.1
Lucas, Jr., R.E. (1996): Nobel Lecture: Monetary Neutrality. Journal of Political Economy, 104(4): 661–682. https://doi.org/10.1086/262037
MNB (2023): Financial Stability Report (May 2023). Magyar Nemzeti Bank. https://www.mnb.hu/letoltes/financial-stability-report-may-2023.pdf
Mandler, M. – Scharnagl, M. (2014): Money Growth and Consumer Price Inflation in the Euro Area: A Wavelet Analysis. Bundesbank Discussion Paper No. 33/2014, Deutsche Bundesbank. https://doi.org/10.2139/ssrn.2797012
McCallum, B.T. – Nelson, E. (2010): Money and Inflation: Some Critical Issues. In: Friedman, B. M. – Woodford, M. (eds.): Handbook of Monetary Economics, 3, 97–153. https://doi.org/10.1016/B978-0-444-53238-1.00003-X
Mitchell, W.L. – Wray, R. – Watts, M. (2019): Macroeconomics. Red Globe Press, London, UK.
Scharnagl, M. – Mandler, M. (2015): The relationship of simple sum and Divisia monetary aggregates with real GDP and inflation: a wavelet analysis for the US. Beiträge zur Jahrestagung des Vereins für Socialpolitik 2015: Ökonomische Entwicklung – Theorie und Politik – Session: Monetary Modelling, No. E23-V3, Deutsche Zentralbibliothek für Wirtschaftswissenschaften, Leibniz-Informationszentrum Wirtschaft. http://hdl.handle.net/10419/112879. Downloaded: 23 June 2023.
Teles, P. – Uhlig, H. – Valle e Azevedo, J. (2016): Is quantity theory still alive? The Economic Journal, 126(591): 442–464. https://doi.org/10.1111/ecoj.12336
Torrence, C. – Compo, G.P. (1998): A Practical Guide to Wavelet Analysis. Bulletin of the American Meteorological Society, 79(1): 61–78. https://doi.org/10.1175/1520-0477(1998)079<0061:APGTWA>2.0.CO;2
Torrence, C. – Webster, P.J. (1999): Interdecadal Changes in the ENSO–Monsoon System. Journal of Climate, 12(8): 2679–2690. https://doi.org/10.1175/1520-0442(1999)012<2679:ICITEM>2.0.CO;2
Uliha, G. (2016): Az olajár és a makrogazdaság kapcsolatának elemzése folytonos wavelet transzformáció segítségével (Analysis of the relationship between oil price and macroeconomy with continuous wavelet transforms). Statisztikai Szemle (Hungarian Statistical Review), 94(5): 505–534. https://doi.org/10.20311/stat2016.05.hu0505
Uliha, G. – Vincze, J. (2018): Exchange rates and prices: a continuous wavelet perspective. Discussion Paper no. MT-DP-2018/33, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences. http://real.mtak.hu/88774/1/MTDP1833.pdf
Veleda, D. – Montagne, R. – Araujo, M. (2012): Cross-Wavelet Bias Corrected by Normalizing Scales. Journal of Atmospheric and Oceanic Technology, 29(9): 1401–1408. https://doi.org/10.1175/JTECH-D-11-00140.1
Vogel, R.C. (1974): The Dynamics of Inflation in Latin America, 1950–1969. American Economic Review, 64(1): 102–114. https://www.jstor.org/stable/1814885
Yu, E. (2016): Did quantitative easing work? Economic Insights, Federal Reserve Bank of Philadelphia, 1(1): 5–13. https://ideas.repec.org/a/fip/fedpei/00002.html