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Modeling of Withdrawals from Selected ATMs of the “Euronet” Network

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  • Gurgul, Henryk
  • Suder, Marcin

Abstract

This paper deals with the problem of withdrawals from Automated Teller Machines (ATMs), using daily data for selected ATMs installed by the Euronet network in the Polish provinces of Małopolska and Podkarpacie for the period from January 2008 to March 2012. The main aim of this paper is an estimation of the proper econometric models for withdrawals time series and attempt to forecast future demand on cash flow in ATMs in respect to their localization. This is necessary to establish a replenishment schedule. The results of computations suggest that models built on the basis of SARIMA methodology are useful tools for an modeling daily withdrawals time series. This kind of model can be applied independently of the localization of an ATM. The exercises for ex post data imply ex post forecast errors under 20%. This size of forecast errors is lower than the bias of actual replenishment scheduling.

Suggested Citation

  • Gurgul, Henryk & Suder, Marcin, 2013. "Modeling of Withdrawals from Selected ATMs of the “Euronet” Network," MPRA Paper 68598, University Library of Munich, Germany, revised 2013.
  • Handle: RePEc:pra:mprapa:68598
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    References listed on IDEAS

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    1. Adam R. Brentnall & Martin J. Crowder & David J. Hand, 2008. "A statistical model for the temporal pattern of individual automated teller machine withdrawals," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 57(1), pages 43-59.
    2. Paolo Angelini & Andrea Generale, 2008. "On the Evolution of Firm Size Distributions," American Economic Review, American Economic Association, vol. 98(1), pages 426-438, March.
    3. Mata, Jose & Portugal, Pedro & Guimaraes, Paulo, 1995. "The survival of new plants: Start-up conditions and post-entry evolution," International Journal of Industrial Organization, Elsevier, vol. 13(4), pages 459-481, December.
    4. Paulo Rodrigues & Paulo Esteves, 2010. "Calendar effects in daily ATM withdrawals," Economics Bulletin, AccessEcon, vol. 30(4), pages 2587-2597.
    5. Zoltan J. Acs & Catherine Armington, 2008. "The Impact of Geographic Differences in Human Capital on Service Firm Formation Rates," Chapters, in: Entrepreneurship, Growth and Public Policy, chapter 19, pages 244-278, Edward Elgar Publishing.
    6. Jovanovic, Boyan & MacDonald, Glenn M, 1994. "The Life Cycle of a Competitive Industry," Journal of Political Economy, University of Chicago Press, vol. 102(2), pages 322-347, April.
    7. Findley, David F, et al, 1998. "New Capabilities and Methods of the X-12-ARIMA Seasonal-Adjustment Program: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(2), pages 169-177, April.
    8. Wagner, Joachim, 1994. "The Post-entry Performance of New Small Firms in German Manufacturing Industries," Journal of Industrial Economics, Wiley Blackwell, vol. 42(2), pages 141-154, June.
    9. Alcina Nunes & Elsa Sarmento, 2010. "Business Demography Dynamics In Portugal: A Non-Parametric Survival Analysis," GEE Papers 0022, Gabinete de Estratégia e Estudos, Ministério da Economia, revised Sep 2010.
    10. Heli Snellman & Matti Viren, 2009. "ATM networks and cash usage," Applied Financial Economics, Taylor & Francis Journals, vol. 19(10), pages 841-851.
    11. Alcina Nunes & Elsa Sarmento, 2010. "Business Demography Dynamics in Portugal: a Semi-parametric Survival Analysis," GEE Papers 0023, Gabinete de Estratégia e Estudos, Ministério da Economia, revised Sep 2010.
    12. Thomas Astebro & Irwin Bernhardt, 1999. "The Winner's Curse of Human Capital," Working Papers 99-5, Center for Economic Studies, U.S. Census Bureau.
    13. Rajshree Agarwal & David B. Audretsch, 2001. "Does Entry Size Matter? The Impact of the Life Cycle and Technology on Firm Survival," Journal of Industrial Economics, Wiley Blackwell, vol. 49(1), pages 21-43, March.
    14. Audretsch, David B & Mahmood, Talat, 1995. "New Firm Survival: New Results Using a Hazard Function," The Review of Economics and Statistics, MIT Press, vol. 77(1), pages 97-103, February.
    15. John Galbraith & Greg Tkacz, 2007. "Electronic Transactions as High-Frequency Indicators of Economic Activity," Staff Working Papers 07-58, Bank of Canada.
    16. Paloma López-García & Sergio Puente, 2006. "Business demography in Spain: determinants of firm survival," Working Papers 0608, Banco de España.
    17. Findley, David F, et al, 1998. "New Capabilities and Methods of the X-12-ARIMA Seasonal-Adjustment Program," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(2), pages 127-152, April.
    18. Gene Amromin & Sujit Chakravorti, 2007. "Debit card and cash usage: a cross-country analysis," Working Paper Series WP-07-04, Federal Reserve Bank of Chicago.
    19. Geoffrey R. Gerdes & May X. Liu & Darrel W. Parke & Jack K. Walton, 2005. "Trends in the use of payment instruments in the United States," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), vol. 91(Spr), pages 180-201.
    20. Lon-Mu Liu, 1980. "Note---Analysis of Time Series with Calendar Effects," Management Science, INFORMS, vol. 26(1), pages 106-112, January.
    21. Acs,Zoltan J. & Audretsch,David B. (ed.), 1993. "Small Firms and Entrepreneurship," Cambridge Books, Cambridge University Press, number 9780521431156.
    22. Pei-Chou Lin & Deng-Shing Huang, 2008. "Technological Regimes and Firm Survival: Evidence Across Sectors and Over Time," Small Business Economics, Springer, vol. 30(2), pages 175-186, February.
    23. Paulo Esteves, 2009. "Are ATM/POS Data Relevant When Nowcasting Private Consumption?," Working Papers w200925, Banco de Portugal, Economics and Research Department.
    24. C. Mirjam van Praag, 2003. "Business Survival and Success of Young Small Business Owners," Tinbergen Institute Discussion Papers 03-050/3, Tinbergen Institute.
    25. Geroski, P. A., 1995. "What do we know about entry?," International Journal of Industrial Organization, Elsevier, vol. 13(4), pages 421-440, December.
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    More about this item

    Keywords

    ATMs; withdrawals; replenishment scheduling; SARIMA modeling;
    All these keywords.

    JEL classification:

    • G0 - Financial Economics - - General
    • G00 - Financial Economics - - General - - - General

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