Fiat money and the value of binding portfolio constraints
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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- 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.
- Magill, M. & Quinzii, M., 1993. "Icomplete Markets Over an Infinite Horizon: Long-Lived Securities and Speculative Bubbles," Papers 9321, Southern California - Department of Economics.
- Frank Hahn, 1973. "On Transaction Costs, Inessential Sequence Economies and Money," Review of Economic Studies, Oxford University Press, vol. 40(4), pages 449-461.
- Araujo, Aloisio. & Fajardo, J. & Páscoa. M. R., 2004.
Finance Lab Working Papers
flwp_68, Finance Lab, Insper Instituto de Ensino e Pesquisa.
- Páscoa, Mario Rui & Araújo, Aloísio Pessoa de & Barbachan, José Santiago Fajardo, 2003. "Endogenous Collateral," Economics Working Papers (Ensaios Economicos da EPGE) 511, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- MÃ¡rio PÃ¡scoa & Aloisio Araujo & JosÃ© Fajardo, 2004. "Endogenous Collateral," Econometric Society 2004 Latin American Meetings 161, Econometric Society.
- Laibson, David, 1998. "Life-cycle consumption and hyperbolic discount functions," European Economic Review, Elsevier, vol. 42(3-5), pages 861-871, May.
- Jean-Michel Grandmont & Yves Younes, 1973. "On the Efficiency of a Monetary Equilibrium," Review of Economic Studies, Oxford University Press, vol. 40(2), pages 149-165.
- 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.
- Páscoa, Mário R. & Petrassi, Myrian & Torres-Martínez, Juan Pablo, 2009.
"Fiat money and the value of binding portfolio constraints,"
13782, University Library of Munich, Germany.
- Mário Páscoa & Myrian Petrassi & Juan Torres-Martínez, 2011. "Fiat money and the value of binding portfolio constraints," Economic Theory, Springer, vol. 46(2), pages 189-209, February.
- 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.
- Mário R. Páscoa & Myrian Petrassi & Juan Pablo Torres-Martínez, 2009. "Fiat Money and the Value of Binding Portfolio Constraints," Working Papers Series 176, Central Bank of Brazil, Research Department.
- 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.
- Manuel S. Santos & Michael Woodford, 1993.
"Rational Asset Pricing Bubbles,"
9304, Centro de Investigacion Economica, ITAM.
- Jean-Michel Grandmont & Yves Younes, 1972. "On the Role of Money and the Existence of a Monetary Equilibrium," Review of Economic Studies, Oxford University Press, vol. 39(3), pages 355-372.
- Elyégs Jouini & Hédi Kallal, 1995. "Arbitrage In Securities Markets With Short-Sales Constraints," Mathematical Finance, Wiley Blackwell, vol. 5(3), pages 197-232.
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