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A duality theory of payment systems

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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.

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  • 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
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    References listed on IDEAS

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    1. Angelini, Paolo, 1998. "An analysis of competitive externalities in gross settlement systems," Journal of Banking & Finance, Elsevier, vol. 22(1), pages 1-18, January.
    2. 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, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil), vol. 59(4), October.
    3. Bech, Morten L. & Soramäki, Kimmo, 2001. "Gridlock resolution in interbank payment systems," Research Discussion Papers 9/2001, Bank of Finland.
    4. 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.
    5. Bech, Morten L. & Garratt, Rod, 2003. "The intraday liquidity management game," Journal of Economic Theory, Elsevier, vol. 109(2), pages 198-219, April.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. repec:cdl:ucsbec:18-01 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.
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