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

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.

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Paper provided by Dipartimento Scienze Economiche, Universita' di Bologna in its series Working Papers with number wp769.

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Date of creation: Jul 2011
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Handle: RePEc:bol:bodewp:wp769
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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. 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.
  3. Marzo, Massimiliano & Zagaglia, Paolo, 2008. "Determinacy of interest rate rules with bond transaction services in a cashless economy ," Research Discussion Papers 24/2008, Bank of Finland.
  4. Andrew Atkeson & Patrick J. Kehoe, 2008. "On the Need for a New Approach to Analyzing Monetary Policy," NBER Working Papers 14260, National Bureau of Economic Research, Inc.
  5. James Bullard & Kaushik Mitra, 2002. "Learning about monetary policy rules," Working Papers 2000-001, Federal Reserve Bank of St. Louis.
  6. 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.
  7. Glenn Rudebusch, 1997. "Interest rates and monetary policy," FRBSF Economic Letter, Federal Reserve Bank of San Francisco, issue jun13.
  8. Dixit, Avinash K & Stiglitz, Joseph E, 1975. "Monopolistic Competition and Optimum Product Diversity," The Warwick Economics Research Paper Series (TWERPS) 64, University of Warwick, Department of Economics.
  9. Bruce McGough & Glenn D. Rudebusch & John C. Williams, 2004. "Using a long-term interest rate as the monetary policy instrument," Working Paper Series 2004-22, Federal Reserve Bank of San Francisco.
  10. 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.
  11. 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.
  12. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
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