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Fiat money and the value of binding portfolio constraints

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  • Mário Páscoa

    ()

  • Myrian Petrassi

    ()

  • Juan Torres-Martínez

    ()

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 inter-temporal 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 inter-temporal 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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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 46 (2011)
Issue (Month): 2 (February)
Pages: 189-209

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Handle: RePEc:spr:joecth:v:46:y:2011:i:2:p:189-209

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Related research

Keywords: Binding portfolio constraints; Fundamental value of money; Asset pricing bubbles; D50; D53; E41; E44;

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References

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  1. Hahn, Frank H, 1973. "On Transaction Costs, Inessential Sequence Economies and Money," Review of Economic Studies, Wiley Blackwell, vol. 40(4), pages 449-61, October.
  2. 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.
  3. Páscoa, Mario Rui & Araújo, Aloísio Pessoa de & Barbachan, José Fajardo, 2003. "Endogenous Collateral," Economics Working Papers (Ensaios Economicos da EPGE) 511, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  4. Grandmont, Jean-Michel & Younes, Yves, 1973. "On the Efficiency of a Monetary Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 40(2), pages 149-65, April.
  5. 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.
  6. Elyégs Jouini & Hédi Kallal, 1995. "Arbitrage In Securities Markets With Short-Sales Constraints," Mathematical Finance, Wiley Blackwell, vol. 5(3), pages 197-232.
  7. 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.
  8. 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.
  9. Laibson, David, 1998. "Life-cycle consumption and hyperbolic discount functions," European Economic Review, Elsevier, vol. 42(3-5), pages 861-871, May.
  10. Grandmont, Jean-Michel & Younes, Yves, 1972. "On the Role of Money and the Existence of a Monetary Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 39(3), pages 355-72, July.
  11. Manuel S. Santos & Michael Woodford, 1993. "Rational Asset Pricing Bubbles," Working Papers 9304, Centro de Investigacion Economica, ITAM.
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Cited by:
  1. 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.
  2. 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.
  3. Jean-Marc Bottazzi & Jaime Luque & Mário R. Páscoa, 2012. "Trading and rational security pricing bubbles," Documents de travail du Centre d'Economie de la Sorbonne 12010, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  4. Emma Moreno-García & Juan Torres-Martínez, 2012. "Equilibrium existence in infinite horizon economies," Portuguese Economic Journal, Springer, vol. 11(2), pages 127-145, August.

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