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Fiat money and the value of binding portfolio constraints

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

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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  • 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.
    • Handle: RePEc:pra:mprapa:13782
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    1. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
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    8. Elyégs Jouini & Hédi Kallal, 1995. "Arbitrage In Securities Markets With Short‐Sales Constraints," Mathematical Finance, Wiley Blackwell, vol. 5(3), pages 197-232, July.
    9. 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.
    10. Araujo, Aloisio & Fajardo, Jose & Pascoa, Mario R., 2005. "Endogenous collateral," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 439-462, August.
    11. 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.
    12. 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.
    13. 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.
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    Cited by:

    1. Bosi, Stefano & Van, Cuong Le & Pham, Ngoc-Sang, 2018. "Intertemporal equilibrium with heterogeneous agents, endogenous dividends and collateral constraints," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 1-20.
    2. Emma Moreno-García & Juan Torres-Martínez, 2012. "Equilibrium existence in infinite horizon economies," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 11(2), pages 127-145, August.
    3. Bosi, Stefano & Le Van, Cuong & Pham, Ngoc-Sang, 2017. "Asset bubbles and efficiency in a generalized two-sector model," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 37-48.
    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. Bosi, Stefano & Le Van, Cuong & Pham, Ngoc-Sang, 2022. "Real indeterminacy and dynamics of asset price bubbles in general equilibrium," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    6. 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.
    7. Bidian, Florin, 2015. "Portfolio constraints, differences in beliefs and bubbles," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 317-326.
    8. Araujo, Aloisio & Gama, Juan Pablo & Novinski, Rodrigo & Pascoa, Mario R., 2019. "Endogenous discounting, wariness, and efficient capital taxation," Journal of Economic Theory, Elsevier, vol. 183(C), pages 520-545.
    9. Pham, Ngoc-Sang, 2017. "Assets with possibly negative dividends," MPRA Paper 78193, University Library of Munich, Germany.
    10. repec:hal:wpaper:halshs-02993656 is not listed on IDEAS
    11. Bottazzi, Jean-Marc & Luque, Jaime & Páscoa, Mário R., 2011. "Trading and rational security pricing bubbles," UC3M Working papers. Economics we1119, Universidad Carlos III de Madrid. Departamento de Economía.

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    More about this item

    Keywords

    Binding credit constraints; Fundamental value of money; Asset pricing bubbles;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy

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