{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,21]],"date-time":"2025-10-21T15:33:49Z","timestamp":1761060829627,"version":"build-2065373602"},"reference-count":23,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2019,7,5]],"date-time":"2019-07-05T00:00:00Z","timestamp":1562284800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003447","name":"State Scholarships Foundation","doi-asserted-by":"publisher","award":["2018-050-0502-12964"],"award-info":[{"award-number":["2018-050-0502-12964"]}],"id":[{"id":"10.13039\/501100003447","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>The issue of whether or not money affects real economic activity (money neutrality) has attracted significant empirical attention over the last five decades. If money is neutral even in the short-run, then monetary policy is ineffective and its role limited. If money matters, it will be able to forecast real economic activity. In this study, we test the traditional simple sum monetary aggregates that are commonly used by central banks all over the world and also the theoretically correct Divisia monetary aggregates proposed by the Barnett Critique (Chrystal and MacDonald, 1994; Belongia and Ireland, 2014), both in three levels of aggregation: M1, M2, and M3. We use them to directionally forecast the Eurocoin index: A monthly index that measures the growth rate of the euro area GDP. The data span from January 2001 to June 2018. The forecasting methodology we employ is support vector machines (SVM) from the area of machine learning. The empirical results show that: (a) The Divisia monetary aggregates outperform the simple sum ones and (b) both monetary aggregates can directionally forecast the Eurocoin index reaching the highest accuracy of 82.05% providing evidence against money neutrality even in the short term.<\/jats:p>","DOI":"10.3390\/a12070137","type":"journal-article","created":{"date-parts":[[2019,7,5]],"date-time":"2019-07-05T11:44:16Z","timestamp":1562327056000},"page":"137","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Money Neutrality, Monetary Aggregates and Machine Learning"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5134-3869","authenticated-orcid":false,"given":"Periklis","family":"Gogas","sequence":"first","affiliation":[{"name":"Department of Economics, Democritus University of Thrace, 69100 Komotini, Greece"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9035-183X","authenticated-orcid":false,"given":"Theophilos","family":"Papadimitriou","sequence":"additional","affiliation":[{"name":"Department of Economics, Democritus University of Thrace, 69100 Komotini, Greece"}]},{"given":"Emmanouil","family":"Sofianos","sequence":"additional","affiliation":[{"name":"Department of Economics, Democritus University of Thrace, 69100 Komotini, Greece"}]}],"member":"1968","published-online":{"date-parts":[[2019,7,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"341","DOI":"10.26485\/SPE\/2017\/105\/19","article-title":"The Monetary Aggregates and Current Objectives of European Central Bank","volume":"105","author":"Pospisil","year":"2017","journal-title":"Stud. Prawno Ekon."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1171","DOI":"10.1111\/j.1468-0297.1997.tb00017.x","article-title":"Which Road Leads to Stable Money Demand?","volume":"107","author":"Barnett","year":"1997","journal-title":"Econ. J."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"928","DOI":"10.2307\/2965482","article-title":"The Making of Index Numbers: A Study of Their Varieties, Tests, and Reliability","volume":"18","author":"Belcher","year":"1923","journal-title":"J. Am. Stat. Assoc."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/0304-4076(80)90070-6","article-title":"Economic monetary aggregates an application of index number and aggregation theory","volume":"14","author":"Barnett","year":"1980","journal-title":"J. Econ."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"73","DOI":"10.20955\/r.76.73-109","article-title":"Empirical Evidence on the Recent Behavior and Usefulness of Simple-Sum and Weighted Measures of the Money Stock","volume":"76","author":"Chrystal","year":"1994","journal-title":"Review"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1016\/j.jeconom.2014.06.006","article-title":"The Barnett critique after three decades: A New Keynesian analysis","volume":"183","author":"Belongia","year":"2014","journal-title":"J. Econ."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/0165-1765(78)90051-4","article-title":"The user cost of money","volume":"1","author":"Barnett","year":"1978","journal-title":"Econ. Lett."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1007\/s11079-012-9253-5","article-title":"Interest Rates, Leverage, and Money","volume":"24","author":"Serletis","year":"2012","journal-title":"Open Econ. Rev."},{"key":"ref_9","first-page":"2086","article-title":"Consumer Theory and the Demand for Money","volume":"30","author":"Barnett","year":"1992","journal-title":"J. Econ. Lit."},{"key":"ref_10","first-page":"1","article-title":"Comparison of simple sum and Divisia monetary aggregates using Panel Data Analysis","volume":"1","author":"Celik","year":"2009","journal-title":"Int. J. Soc. Sci. Humanit Stud."},{"key":"ref_11","unstructured":"Scharnagl, M., and Mandler, M. (2015, January 27\u201329). The relationship of simple sum and Divisia monetary aggregates with real GDP and inflation: A wavelet analysis for the US. Proceedings of the Annual Conference: Economic Development\u2014Theory and Policy, Verein f\u00fcr Socialpolitik\/German Economic Association, Muenster, Germany."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1638","DOI":"10.1017\/S1365100512000247","article-title":"The case for divisia money targeting","volume":"17","author":"Serletis","year":"2013","journal-title":"Macroecon. Dyn."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1111\/jmcb.12103","article-title":"Divisia Monetary Aggregates, the Great Ratios, and Classical Money Demand Functions","volume":"46","author":"Serletis","year":"2014","journal-title":"J. Money Credit Bank."},{"key":"ref_14","first-page":"1101","article-title":"Comparison of simple sum and Divisia monetary aggregates in GDP forecasting: a support vector machines approach","volume":"33","author":"Gogas","year":"2013","journal-title":"Econ. Bull."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"103128","DOI":"10.1016\/j.jmacro.2019.103128","article-title":"The demand for Divisia Money: Theory and evidence","volume":"61","author":"Belongia","year":"2019","journal-title":"J. Macroecon."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"825","DOI":"10.1007\/s11079-016-9406-z","article-title":"Chinese Divisia Monetary Index and GDP Nowcasting","volume":"27","author":"Barnett","year":"2016","journal-title":"Open Econ. Rev."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"272","DOI":"10.2307\/2673885","article-title":"The Relative Forecasting Performance of the Divisia and Simple Sum Monetary Aggregates","volume":"33","author":"Schunk","year":"2001","journal-title":"J. Money Credit Bank."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1007\/BF00994018","article-title":"Support-vector networks","volume":"20","author":"Cortes","year":"1995","journal-title":"Mach. Learn."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1145\/1961189.1961199","article-title":"LIBSVM","volume":"2","author":"Chang","year":"2011","journal-title":"ACM Trans. Intell. Syst. Technol."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"157","DOI":"10.3390\/forecast1010011","article-title":"Oil Market Efficiency under a Machine Learning Perspective","volume":"1","author":"Dimitriadou","year":"2018","journal-title":"Forecasting"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1024","DOI":"10.1162\/REST_a_00045","article-title":"New Eurocoin: Tracking Economic Growth in Real Time","volume":"92","author":"Altissimo","year":"2010","journal-title":"Rev. Econ. Stat."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/j.econlet.2015.05.034","article-title":"Does money matter in the euro area? Evidence from a new Divisia index","volume":"133","author":"Darvas","year":"2015","journal-title":"Econ. Lett."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"847","DOI":"10.1016\/S0925-2312(01)00676-2","article-title":"Modified support vector machines in financial time series forecasting","volume":"48","author":"Tay","year":"2002","journal-title":"Neurocomputing"}],"container-title":["Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1999-4893\/12\/7\/137\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:02:52Z","timestamp":1760187772000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1999-4893\/12\/7\/137"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,5]]},"references-count":23,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2019,7]]}},"alternative-id":["a12070137"],"URL":"https:\/\/doi.org\/10.3390\/a12070137","relation":{},"ISSN":["1999-4893"],"issn-type":[{"type":"electronic","value":"1999-4893"}],"subject":[],"published":{"date-parts":[[2019,7,5]]}}}