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Equilibrium Selection in a Cashless Economy with Transaction Frictions in the Bond Market

Author

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  • Massimiliano Marzo

    () (Department of Economics, Università di Bologna)

  • Paolo Zagaglia

    () (Department of Economics, Università di Bologna)

Abstract

The present paper introduces two bonds in a standard New-Keynesian model to study the role of segmentation in bond markets for the determinacy of rational expectations equilibria. We use a strongly-separable utility function to model ‘liquid’ bonds that provide transaction services for the purchase of consumption goods. ‘Illiquid’ bonds, instead, provide the standard services of store of value. We interpret liquid bonds as mimicking short-term instruments, and illiquid bonds to represent long-dated instruments. In this simple setting, the expectation hypothesis holds after log-linearizing the model and after pricing the bonds according to an affine scheme. We assume that monetary policy follows a standard Taylor rule. In this context, the inflation targeting parameter should be higher than one for determinacy of rational expectations equilibria to be achieved. We compute an analytical solution for the bond pricing kernel. We also show that the possibility of obtaining this analytical solution depends on the type of utility function. When utility is weakly separable between consumption and liquid bonds, the Taylor principle holds conditional to the output and inflation coefficients in the Taylor rule. Achieving solution determinacy requires constraining these coefficients within bounds that depend on the structural parameters of the model, like the intertemporal elasticity of consumption substitution.

Suggested Citation

  • Massimiliano Marzo & Paolo Zagaglia, 2011. "Equilibrium Selection in a Cashless Economy with Transaction Frictions in the Bond Market," Working Paper series 28_11, Rimini Centre for Economic Analysis.
  • Handle: RePEc:rim:rimwps:28_11
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    References listed on IDEAS

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    1. Lubik, Thomas A. & Marzo, Massimiliano, 2007. "An inventory of simple monetary policy rules in a New Keynesian macroeconomic model," International Review of Economics & Finance, Elsevier, vol. 16(1), pages 15-36.
    2. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
    3. Leeper, Eric M., 1991. "Equilibria under 'active' and 'passive' monetary and fiscal policies," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 129-147, February.
    4. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    5. McGough, Bruce & Rudebusch, Glenn D. & Williams, John C., 2005. "Using a long-term interest rate as the monetary policy instrument," Journal of Monetary Economics, Elsevier, vol. 52(5), pages 855-879, July.
    6. Andrew Atkeson & Patrick J. Kehoe, 2009. "On the Need for a New Approach to Analyzing Monetary Policy," NBER Chapters,in: NBER Macroeconomics Annual 2008, Volume 23, pages 389-425 National Bureau of Economic Research, Inc.
    7. Marzo, Massimiliano & Zagaglia, Paolo, 2008. "Determinacy of Interest Rate Rules with Bond Transaction Services in a Cashless Economy," Research Papers in Economics 2008:7, Stockholm University, Department of Economics.
    8. Glenn D. Rudebusch, 1997. "Interest rates and monetary policy," FRBSF Economic Letter, Federal Reserve Bank of San Francisco, issue jun13.
    9. Stephanie Schmitt-Grohe & Martin Uribe, 2005. "Optimal Fiscal and Monetary Policy in a Medium-Scale Macroeconomic Model: Expanded Version," NBER Working Papers 11417, National Bureau of Economic Research, Inc.
    10. Canzoneri, Matthew B. & Diba, Behzad T., 2005. "Interest rate rules and price determinacy: The role of transactions services of bonds," Journal of Monetary Economics, Elsevier, vol. 52(2), pages 329-343, March.
    11. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    12. Canzoneri, Matthew & Cumby, Robert & Diba, Behzad & López-Salido, David, 2011. "The role of liquid government bonds in the great transformation of American monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 35(3), pages 282-294, March.
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    Cited by:

    1. M. Falagiarda & M. Marzo, 2012. "A DSGE model with Endogenous Term Structure," Working Papers wp830, Dipartimento Scienze Economiche, Universita' di Bologna.

    More about this item

    Keywords

    term structure; determinacy; pricing kernel; fiscal and monetary policy;

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E63 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Comparative or Joint Analysis of Fiscal and Monetary Policy; Stabilization; Treasury Policy

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