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The value of money in a dynamic equilibrium model

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  • Manuel Santos

Abstract

This paper studies the pricing of money in an infinite-horizon economy with heterogeneous agents, incomplete financial markets and arbitrary borrowing restrictions. Purchases of the consumption good are subject to a cash-in-advance constraint. Under general conditions I show that the price of money is equal to its fundamental value, where this value is defined over all state-price processes that are compatible with the existence of no-arbitrage opportunities. This equality implies that the cash-in-advance constraint is binding infinitely often for all agents in the economy. The analysis highlights certain differences in the determination of the price of money with respect to models with money in the utility function that bear on the optimal implementation of economic policies. Copyright Springer-Verlag Berlin/Heidelberg 2006

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  • Manuel Santos, 2006. "The value of money in a dynamic equilibrium model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(1), pages 39-58, January.
    • Handle: RePEc:spr:joecth:v:27:y:2006:i:1:p:39-58
    DOI: 10.1007/s00199-004-0552-y
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    Citations

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    Cited by:

    1. Kamihigashi, Takashi, 2018. "A Simple optimality-based no-bubble theorem for deterministic sequential economies with strictly monotone preferences," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 36-41.
    2. Dixon, Huw & Pourpourides, Panayiotis M., 2016. "On imperfect competition with occasionally binding cash-in-advance constraints," Journal of Macroeconomics, Elsevier, vol. 50(C), pages 72-85.
    3. Aloisio Araujo & Mario Pascoa & Juan Pablo Torres-Martinez, 2005. "Bubbles, collateral and monetary equilibrium," Textos para discussão 513, Department of Economics PUC-Rio (Brazil).
    4. Araujo, Aloisio & Páscoa, Mário R. & Torres-Martínez, Juan Pablo, 2011. "Long-lived collateralized assets and bubbles," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 260-271.
    5. Wei-Bin Zhang, 2014. "National and International Inequalities in Income and Wealth in a Global Growth with Free Trade and National Inflation Policies," Global Economic Observer, "Nicolae Titulescu" University of Bucharest, Faculty of Economic Sciences;Institute for World Economy of the Romanian Academy, vol. 2(1), pages 22-40, May.
    6. Raphaël Espinoza & Charles. Goodhart & Dimitrios Tsomocos, 2009. "State prices, liquidity, and default," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 177-194, May.
    7. Mário Páscoa & Myrian Petrassi & Juan Torres-Martínez, 2011. "Fiat money and the value of binding portfolio constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(2), pages 189-209, February.
    8. Zhigang Feng & Jianjun Miao & Adrian Peralta‐Alva & Manuel S. Santos, 2014. "Numerical Simulation Of Nonoptimal Dynamic Equilibrium Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(1), pages 83-110, February.
    9. Chevallier, Claire Océane & El Joueidi, Sarah, 2019. "Capital regulation and banking bubbles," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 117-129.
    10. Mario R. Páscoa & Myrian Petrassi & Juan Pablo Torres-Martinez, 2007. "Welfare-improving debt constraints," Textos para discussão 541, Department of Economics PUC-Rio (Brazil), revised Dec 2007.
    11. Wei-Bin Zhang, 2010. "A Multi-country Monetary Economic Growth Model with International Trade and National Monetary Policies," Global Economic Review, Taylor & Francis Journals, vol. 39(1), pages 43-58.
    12. Eduardo Giménez, 2007. "On the positive fundamental value of money with short-sale constraints," Annals of Finance, Springer, vol. 3(4), pages 455-469, October.

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