Digital Payment Revolution and the Velocity of Money: Does the Classic Inflation Model Still Hold?
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Abstract
The unprecedented proliferation of electronic money (e-money) in Indonesia has fundamentally altered the transactional landscape, raising a critical yet underexplored question: has the digital payment revolution destabilized the classic relationship between money velocity and inflation? This study investigates the long-run and short-run dynamics between e-money transaction volume, inflation, and the velocity of money in Indonesia over the period 2011-2023, employing the Autoregressive Distributed Lag (ARDL) bounds testing approach. Annual data on nominal GDP, M2 money supply, e-money transaction values, and consumer price inflation were sourced from Bank Indonesia and the Indonesian Central Bureau of Statistics (BPS). Augmented Dickey-Fuller (ADF) unit root tests confirm that all variables are integrated of order one, I(1), making the ARDL framework appropriate. The Bounds F-test yields a statistic of 15.343, decisively exceeding the 1% critical upper bound, confirming a stable long-run cointegrating relationship. Results reveal a significant positive short-run effect of e-money on velocity but a negative long-run multiplier, suggesting that the rapid expansion of the digital monetary base ultimately depresses velocity, a phenomenon we term the “digital shadow of money.” Inflation exhibits a statistically insignificant role in both the short and long run, challenging the applicability of the classical quantity theory of money in Indonesia's digitizing economy. The CUSUM stability test confirms structural stability. These findings carry substantial implications for monetary policy design, particularly regarding the adequacy of conventional money supply targeting in an era of digital financial transformation.
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References
Agur, I., Ari, A., & Dell'Ariccia, G. (2022). Designing Central Bank Digital Currencies. Journal of Monetary Economics, 125, 62–79. https://doi.org/10.1016/j.jmoneco.2021.05.002
Anwar, C. J., Ayunda, V. T., Suhendra, I., Ginanjar, R. A. F., & Kholishoh, L. N. (2024). Estimating the Effects of Electronic Money on the Income Velocity of Money in Indonesia. International Journal of Innovative Research and Scientific Studies, 7(2), 390–397. https://doi.org/10.53894/ijirss.v7i2.2632
Bank Indonesia. (2023). Statistik Sistem Pembayaran dan Infrastruktur Pasar Keuangan. Bank Indonesia. Retrieved 15 April, 2026, from: https://www.bi.go.id
Baumol, W. J. (1952). The Transactions Demand for Cash: An Inventory Theoretic Approach. Quarterly Journal of Economics, 66(4), 545–556. https://doi.org/10.2307/1882104
Boar, C., & Wehrli, A. (2021). Ready, Steady, Go? – Results of the Third BIS Survey on Central Bank Digital Currency. BIS Papers No. 114. Bank for International Settlements. Retrieved 15 April, 2026, from: https://www.bis.org/publ/bppdf/bispap114.pdf
BPS (Badan Pusat Statistik). (2023). Statistik Indonesia 2023. BPS. Retrieved 7 April, 2026, from: https://www.bps.go.id
Brown, R. L., Durbin, J., & Evans, J. M. (1975). Techniques for Testing the Constancy of Regression Relationships Over Time. Journal of
the Royal Statistical Society: Series B (Methodological), 37(2), 149–163. https://doi.org/10.1111/j.2517-6161.1975.tb01532.x
Castañeda, J. E., & Cendejas, J. L. (2024). Money Growth, Money Velocity and Inflation in the US, 1948–2021. Open Economies Review, 35(5), 999–1014. https://doi.org/10.1007/s11079-023-09739-0
Dickey, D. A., & Fuller, W. A. (1979). Distribution of the Estimators for Autoregressive Time Series with a Unit Root. Journal of the American Statistical Association, 74(366), 427–431. https://doi.org/10.2307/2286348
Fisher, I. (1911). The Purchasing Power of Money: Its Determination and Relation to Credit, Interest and Crises. New York, NY: Macmillan. https://doi.org/10.2307/2965060
Durlauf, S., & Blume, L. E. (2016). The New Palgrave Dictionary of Economics. New York, NY: Springer.
Hasan, I., De Renzis, T., & Schmiedel, H. (2012). Retail Payments and Economic Growth. Bank of Finland Research Discussion Papers No. 19. https://doi.org/10.2139/ssrn.2100651
Hermawan, D., Lie, D., Sasongko, A., & Yusan, R. I. (2024). Money Velocity, Digital Currency and Inflation Dynamics in Indonesia. Bulletin of Indonesian Economic Studies, 60(3), 305–345. https://doi.org/10.1080/00074918.2024.2398347
MacKinnon, J. G. (1996). Numerical Distribution Functions for Unit Root and Cointegration Tests. Journal of Applied Econometrics, 11(6), 601–618. http://www.jstor.org/stable/2285154
Margaretha, V., & Wahyudi, S. T. (2025). Revealing the Impact of Electronic Money and Economic Factors on the Velocity of Money in Indonesia. Jurnal Ekonomi Pembangunan, 23(1), 123–134. https://doi.org/10.29259/jep.v23i1.23217
Meaning, J., Dyson, B., Barker, J., & Clayton, E. (2021). Broadening Narrow Money: Monetary Policy with a Central Bank Digital Currency. International Journal of Central Banking, 17(2), 1–42. https://dx.doi.org/10.2139/ssrn.3180720
Mishkin, F. S. (2019). The Economics of Money, Banking and Financial Markets (12th ed.). New York, NY: Pearson.
Narayan, P. K. (2005). The Saving and Investment Nexus for China: Evidence from Cointegration Tests. Applied Economics, 37(17), 1979–1990. https://doi.org/10.1080/00036840500278103
Ozili, P. K. (2022). Digital Financial Inclusion, New Trends in Banking and Finance. New York: Springer.
Pesaran, M. H., Shin, Y., & Smith, R. J. (2001). Bounds Testing Approaches to the Analysis of Level Relationships. Journal of Applied
Econometrics, 16(3), 289–326. https://doi.org/10.1002/jae.616
Schuh, S., & Stavins, J. (2010). Why are (Some) Consumers (Finally) Writing Fewer Checks? The Role of Payment Characteristics. Journal of Banking & Finance, 34(8), 1745–1758. https://doi.org/10.1016/j.jbankfin.2009.09.018
Stanley, N., Kohardinata, C., Widianingsih, L. P., Junianto, Y., Ismawati, A. F., & Sari, E. T. (2024). Is P2P Lending Emerging as a New Threat to Bank Credits?. Journal of Accounting, Entrepreneurship and Financial Technology (JAEF), 6(1), 1–16. https://doi.org/10.37715/jaef.v6i1.4630
Strazicich, M. C., & Lee, J. (2003). Minimum Lagrange Multiplier Unit Root Test with Two Structural Breaks. The Review of Economics and Statistics, 85(4), 1082–1089. https://doi.org/10.1162/003465303772815961
Tobin, J. (1956). The Interest Elasticity of the Transactions Demand for Cash. Review of Economics and Statistics, 38(3), 241–247. https://doi.org/10.2307/1925776
World Bank. (2022). The Global Findex Database 2021: Financial Inclusion, Digital Payments, and Resilience in the Age of COVID-19. World Bank Group. Retrieved 15 April, 2026, from: http://documents.worldbank.org/curated/en/099818107072234182
Zivot, E., & Donald W. K. Andrews. (1992). Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis. Journal of Business & Economic Statistics, 10(3), 251–270. https://doi.org/10.2307/1391541

