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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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    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, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 59(4), October.
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    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.
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