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Fiat money and the value of binding portfolio constraints

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Author Info
Páscoa, Mário R.
Petrassi, Myrian
Torres-Martínez, Juan Pablo

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Abstract

We establish necessary and sufficient conditions for the individual optimality of a consumption-portfolio plan in an infinite horizon economy where agents are uniformly impatient and fiat money is the only asset available for intertemporal transfers of wealth. Next, we show that fiat money has a positive equilibrium price if and only if for some agent the zero short sale constraint is binding and has a positive shadow price (now or in the future). As there is always an agent that is long, it follows that marginal rates of intertemporal substitution never coincide across agents. That is, monetary equilibria are never full Pareto efficient. We also give a counter-example illustrating the occurrence of monetary bubbles under incomplete markets in the absence of uniform impatience.

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File URL: http://mpra.ub.uni-muenchen.de/18293/
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 13782.

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Date of creation: Mar 2009
Date of revision: Nov 2009
Handle: RePEc:pra:mprapa:13782

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Related research
Keywords: Binding credit constraints; Fundamental value of money; Asset pricing bubbles.;

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467. [Downloadable!] (restricted)
  2. Mário Páscoa & Myrian Petrassi & Juan Pablo Torres-Martínez, 2008. "Fiat money and the value of binding portfolio constraints," Working Papers wp283, University of Chile, Department of Economics. [Downloadable!]
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  3. Araujo, Aloisio & Fajardo, Jose & Pascoa, Mario R., 2005. "Endogenous collateral," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 439-462, August. [Downloadable!] (restricted)
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  4. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
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  5. Hahn, Frank H, 1973. "On Transaction Costs, Inessential Sequence Economies and Money," Review of Economic Studies, Blackwell Publishing, vol. 40(4), pages 449-61, October. [Downloadable!] (restricted)
  6. Grandmont, Jean-Michel & Younes, Yves, 1972. "On the Role of Money and the Existence of a Monetary Equilibrium," Review of Economic Studies, Blackwell Publishing, vol. 39(3), pages 355-72, July. [Downloadable!] (restricted)
  7. Grandmont, Jean-Michel & Younes, Yves, 1973. "On the Efficiency of a Monetary Equilibrium," Review of Economic Studies, Blackwell Publishing, vol. 40(2), pages 149-65, April. [Downloadable!] (restricted)
  8. Hernandez D., Alejandro & Santos, Manuel S., 1996. "Competitive Equilibria for Infinite-Horizon Economies with Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 102-130, October. [Downloadable!] (restricted)
  9. Laibson, David, 1998. "Life-cycle consumption and hyperbolic discount functions," European Economic Review, Elsevier, vol. 42(3-5), pages 861-871, May. [Downloadable!] (restricted)
  10. Magill, Michael & Quinzii, Martine, 1996. "Incomplete markets over an infinite horizon: Long-lived securities and speculative bubbles," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 133-170. [Downloadable!] (restricted)
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  1. Páscoa, Mário R. & Petrassi, Myrian & Torres-Martínez, Juan Pablo, 2009. "Fiat money and the value of binding portfolio constraints," MPRA Paper 13782, University Library of Munich, Germany, revised Nov 2009. [Downloadable!]
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