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Money and bonds: an equivalence theorem

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  • Narayana R. Kocherlakota

Abstract

This paper considers four models in which immortal agents face idiosyncratic shocks and trade only a single risk-free asset over time. The four models specify this single asset to be private bonds, public bonds, public money, or private money respectively. I prove that, given an equilibrium in one of these economies, it is possible to pick the exogenous elements in the other three economies so that there is an outcome-equivalent equilibrium in each of them. (The term ?exogenous variables? refers to the limits on private issue of money or bonds, or the supplies of publicly issued bonds or money.)

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Bibliographic Info

Paper provided by Federal Reserve Bank of Minneapolis in its series Staff Report with number 393.

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Date of creation: 2007
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Handle: RePEc:fip:fedmsr:393

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Keywords: Money - Mathematical models ; Bonds;

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  1. DAVILA, Julio & HONG, Jay H. & KRUSELL, Per & RIOS-RULL, José-Victor, . "Constrained efficiency in the neoclassical growth model with uninsurable idiosyncratic shocks," CORE Discussion Papers RP -2463, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. S. Rao Aiyagari & Ellen R. McGrattan, 1997. "The optimum quantity of debt," Staff Report 203, Federal Reserve Bank of Minneapolis.
  3. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-20, April.
  4. Kocherlakota, Narayana R., 2003. "Societal benefits of illiquid bonds," Journal of Economic Theory, Elsevier, vol. 108(2), pages 179-193, February.
  5. Kocherlakota, Narayana, 2008. "Injecting rational bubbles," Journal of Economic Theory, Elsevier, vol. 142(1), pages 218-232, September.
  6. Edward J. Green & Ruilin Zhou, 2005. "Money As A Mechanism In A Bewley Economy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 351-371, 05.
  7. Taub, Bart, 1994. "Currency and Credit Are Equivalent Mechanisms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(4), pages 921-56, November.
  8. Aleksander Berentsen & Christopher Waller, 2008. "Outside Versus Inside Bonds," IEW - Working Papers 372, Institute for Empirical Research in Economics - University of Zurich.
  9. Harold L Cole & Narayana Kocherlakota, 2010. "Efficient Allocations with Hidden Income and Hidden Storage," Levine's Working Paper Archive 1909, David K. Levine.
  10. David K. Levine, 1991. "Asset Trading Mechanisms and Expansionary Policy," Levine's Working Paper Archive 43, David K. Levine.
  11. Aiyagari, S Rao, 1995. "Optimal Capital Income Taxation with Incomplete Markets, Borrowing Constraints, and Constant Discounting," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1158-75, December.
  12. Lucas, Robert E, Jr, 1992. "On Efficiency and Distribution," Economic Journal, Royal Economic Society, vol. 102(411), pages 233-47, March.
  13. Ricardo de O. Cavalcanti & Neil Wallace, 1999. "A model of private bank-note issue," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(1), pages 104-136, January.
  14. Barro, Robert J., 1974. "Are Government Bonds Net Wealth?," Scholarly Articles 3451399, Harvard University Department of Economics.
  15. Imrohoroglu, Ayse, 1992. "The welfare cost of inflation under imperfect insurance," Journal of Economic Dynamics and Control, Elsevier, vol. 16(1), pages 79-91, January.
  16. Wallace, Neil, 1981. "A Modigliani-Miller Theorem for Open-Market Operations," American Economic Review, American Economic Association, vol. 71(3), pages 267-74, June.
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Cited by:
  1. Benjamin Eden, 2007. "The Friedman Rule in an Overlapping Generations Model: Social Security in Reverse," Vanderbilt University Department of Economics Working Papers 0717, Vanderbilt University Department of Economics.

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