Marzo, Massimiliano and Zagaglia, Paolo (2011): Equilibrium selection in a cashless economy with transaction frictions in the bond market.
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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.
|Item Type:||MPRA Paper|
|Original Title:||Equilibrium selection in a cashless economy with transaction frictions in the bond market|
|Keywords:||term structure; determinacy; pricing kernel; fiscal and monetary policy|
|Subjects:||E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E43 - Interest Rates: Determination, Term Structure, and Effects
E - Macroeconomics and Monetary Economics > E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook > E63 - Comparative or Joint Analysis of Fiscal and Monetary Policy ; Stabilization ; Treasury Policy
|Depositing User:||Paolo Zagaglia|
|Date Deposited:||18. Jun 2011 02:38|
|Last Modified:||21. Feb 2013 11:45|
Atkeson, A., and P. J. Kehoe (2008): “On the Need for a New Approach to Analyzing Monetary Policy,” Federal Reserve Bank of Minneapolis Research Department Staff Report No. 412.
Bullard, J., and K. Mitra (2002): “Learning about Monetary Policy Rules,” Journal of Monetary Economics, 49(5), 1105–1129.
Calvo, G. (1983): “Staggered Prices in a Utility-Maximizing Framework,” Journal of Monetary Economics, 12, 383–398.
Canzoneri, M. B., R. Cumby, B. T. Diba, and D. López-Salido (2011): “The Role of Liquid Government Bonds in the Great Transformation of US Monetary Policy,” Journal of Economics, Dynamics and Control, 35(2), 282–94.
Canzoneri, M. D., and B. T. Diba (2005): “Interest Rate Rules and Price Determinacy: the Role of Transaction Services of Bonds,” Journal of Monetary Economics, 52(2), 329–343.
Dixit, Avinash, K., and J. Stiglitz (1977): “Monopolistic Competition and Optimum Product Diversity,” American Economic Review, 67, 297–308.
Galí, J. (2008): Monetary Policy, Inflation and the Business Cycle. Princeton University Press.
La Salle, J. P. (1986): The Stability and Control of Discrete Processes. Springer Verlag, New-York and Berlin.
Leeper, E., M. (1991): “Equilibria Under Active and Passive Fiscal and Monetary Policies,” Journal of Monetary Economics, 27(2), 129–147.
Ljungqvist, L., and T. J. Sargent (2004): Recursive Macroeconomic Theory. MIT Press.
Lubik, T. A., and M. Marzo (2007): “An Inventory of Simple Monetary Policy Rules in a New Keynesian Macroeconomic Model,” International Review of Economics and Finance, 16, 15–36.
Marzo, M., and P. Zagaglia (2008): “Determinacy of Interest Rate Rules with Bond Transaction Services in a Cashless Economy,” Working Paper 24, Bank of Finland.
McCough, B., G. D. Rudebusch, and J. Williams (2005): “Using a Long-Term Interest Rate as the Monetary Policy Instrument,” Journal of Monetary Economics, 52(5), 855–879.
Sargent, T. (1979): Macroeconomic Theory. Academic Press.
Schmitt-Grohé, S., and M. Uribe (2005): “Optimal Fiscal and Monetary Policy in a Medium-Scale Macroeconomic Model: Expanded Version,” NBER Working Paper No. 11417.