IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v45y2009i9-10p679-692.html
   My bibliography  Save this article

A duality theory of payment systems

Author

Abstract

We model the Central Bank's management of intraday liquidity in modern real-time gross settlement systems as a linear programming problem parameterized by different intraday monetary policies, such as reserve requirements, net debit caps and Lombard loans. We then use duality theory to determine the shadow-prices of constraints of each bank. These shadow-prices can be used by the Central Bank to set personalized intraday monetary policies in order to reduce idleness of money and to give a microfoundation of the too-big-to-fail policy.

Suggested Citation

  • Peñaloza, Rodrigo, 2009. "A duality theory of payment systems," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 679-692, September.
    • Handle: RePEc:eee:mateco:v:45:y:2009:i:9-10:p:679-692
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(08)00054-2
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Gretsky, Neil E & Ostroy, Joseph M & Zame, William R, 1992. "The Nonatomic Assignment Model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 103-127, January.
    2. James J. McAndrews & Samira Rajan, 2000. "The timing and funding of Fedwire funds transfers," Economic Policy Review, Federal Reserve Bank of New York, issue Jul, pages 17-32.
    3. Rodrigo Andrés de Souza Peñaloza, 2003. "On Shadow-Prices of Banks in Real-Time Gross Settlement Systems," Working Papers Series 71, Central Bank of Brazil, Research Department.
    4. Guntzer, Michael M. & Jungnickel, Dieter & Leclerc, Matthias, 1998. "Efficient algorithms for the clearing of interbank payments," European Journal of Operational Research, Elsevier, vol. 106(1), pages 212-219, April.
    5. Gretsky, Neil E. & Ostroy, Joseph M. & Zame, William R., 1999. "Perfect Competition in the Continuous Assignment Model," Journal of Economic Theory, Elsevier, vol. 88(1), pages 60-118, September.
    6. repec:cdl:ucsbec:18-01 is not listed on IDEAS
    7. Angelini, Paolo, 1998. "An analysis of competitive externalities in gross settlement systems," Journal of Banking & Finance, Elsevier, vol. 22(1), pages 1-18, January.
    8. Peñaloza, Rodrigo Andrés de Souza, 2005. "Preços-Sombra no Sistema de Pagamentos: Uma Abordagem Dual para a Política Monetária Intradiária," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 59(4), October.
    9. Freixas, Xavier & Parigi, Bruno, 1998. "Contagion and Efficiency in Gross and Net Interbank Payment Systems," Journal of Financial Intermediation, Elsevier, vol. 7(1), pages 3-31, January.
    10. Bech, Morten L. & Garratt, Rod, 2003. "The intraday liquidity management game," Journal of Economic Theory, Elsevier, vol. 109(2), pages 198-219, April.
    11. repec:zbw:bofrdp:2001_009 is not listed on IDEAS
    12. Louis Makowski & Joseph M. Ostroy, 2000. "Linear Programming and General Equilibrium Theory," Econometric Society World Congress 2000 Contributed Papers 1673, Econometric Society.
    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. Fabio Ortega-Castro & Freddy Cepeda-López & Constanza Martínez-Ventura, 2021. "Heterogeneidad en el uso de las fuentes de liquidez intradía en el sistema de pagos de alto valor," Borradores de Economia 1166, Banco de la Republica de Colombia.

    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. Leinonen, Harry & Soramäki, Kimmo, 2003. "Simulating interbank payments and securities settlement mechanism with the BoF-PSS2 simulator," Bank of Finland Research Discussion Papers 23/2003, Bank of Finland.
    2. repec:zbw:bofrdp:2003_023 is not listed on IDEAS
    3. Kahn, Charles M. & Roberds, William, 2009. "Why pay? An introduction to payments economics," Journal of Financial Intermediation, Elsevier, vol. 18(1), pages 1-23, January.
    4. Leinonen, Harry & Soramäki, Kimmo, 2003. "Simulating interbank payments and securities settlement mechanism with the BoF-PSS2 simulator," Research Discussion Papers 23/2003, Bank of Finland.
    5. Huberto M. Ennis & John A. Weinberg, 2007. "Interest on reserves and daylight credit," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 93(Spr), pages 111-142.
    6. Merrouche, Ouarda & Schanz, Jochen, 2010. "Banks' intraday liquidity management during operational outages: Theory and evidence from the UK payment system," Journal of Banking & Finance, Elsevier, vol. 34(2), pages 314-323, February.
    7. Tore Nilssen, 2011. "Risk externalities in a payments oligopoly," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 10(3), pages 211-234, December.
    8. De Caux, Robert & Brede, Markus & McGroarty, Frank, 2016. "Payment prioritisation and liquidity risk in collateralised interbank payment systems," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 41(C), pages 139-150.
    9. Martin, Antoine & McAndrews, James, 2010. "A study of competing designs for a liquidity-saving mechanism," Journal of Banking & Finance, Elsevier, vol. 34(8), pages 1818-1826, August.
    10. Angelo Baglioni & Andrea Monticini, 2013. "Why Does the Interest Rate Decline Over the Day? Evidence from the Liquidity Crisis," Journal of Financial Services Research, Springer;Western Finance Association, vol. 44(2), pages 175-186, October.
    11. Maddaloni, Giuseppe, 2015. "Liquidity risk and policy options," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 514-527.
    12. Simon Buckle & Erin Campbell, 2003. "Settlement bank behaviour and throughput rules in an RTGS payment system with collateralised intraday credit," Bank of England working papers 209, Bank of England.
    13. Bartolini, Leonardo & Hilton, Spence & McAndrews, James J., 2010. "Settlement delays in the money market," Journal of Banking & Finance, Elsevier, vol. 34(5), pages 934-945, May.
    14. Shaun Byck & Ronald Heijmans, 2020. "How much liquidity would a liquidity-saving mechanism save if a liquidity-saving mechanism could save liquidity? A simulation approach for Canada's large-value payment system Shaun Byck," Working Papers 682, DNB.
    15. Angelo Baglioni & Andrea Monticini, 2005. "The intraday price of money: evidence from the e-MID market," Finance 0507020, University Library of Munich, Germany.
    16. Kurt Johnson & James J. McAndrews & Kimmo Soramaki, 2004. "Economizing on liquidity with deferred settlement mechanisms," Economic Policy Review, Federal Reserve Bank of New York, issue Dec, pages 51-72.
    17. Julio J. Rotemberg, 2011. "Minimal Settlement Assets in Economies with Interconnected Financial Obligations," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(1), pages 81-108, February.
    18. Sinelnikova-Muryleva, Elena (Синельников-Мурылева, Елена), 2018. "Analysis of the Consequences of the Development of Payment Systems for Monetary Policy in the Context of Deepening Financial Markets [Анализ Последствий Развития Платежных Систем Для Денежно-Кредит," Working Papers 031813, Russian Presidential Academy of National Economy and Public Administration.
    19. Galbiati, Marco & Soramäki, Kimmo, 2011. "An agent-based model of payment systems," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 859-875, June.
    20. Doorley, Karina & Dupuy, Arnaud & Weber, Simon, 2019. "The empirical content of marital surplus in matching models," Economics Letters, Elsevier, vol. 176(C), pages 51-54.
    21. Marius Jurgilas & Antoine Martin, 2013. "Liquidity-saving mechanisms in collateral-based RTGS payment systems," Annals of Finance, Springer, vol. 9(1), pages 29-60, February.

    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:eee:mateco:v:45:y:2009:i:9-10:p:679-692. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.