Friedman Rule in a Model with Endogenous Growth and Gash-in-Advance Constraint

This paper introduces money into an overlapping generations model with endogenous growth. The model, due to Docquier et al. (2007), exhibits a positive intergenerational externality which precludes its laissez-fair equilibrium to be optimal even if the government can control the level of physical capital and set it to satisfy the modified golden rule. The main message of the paper is that, as long as the modified golden rule is attained, Friedman rule is optimal. The result holds regardless of the ability of the government to internalize the externality and control the level of human capital. Other results include: (i) violation of Friedman rule for a different second-best environment wherein human capital accumulation is controlled but not physical capital accumulation; (ii) existence of a negative relationship between money growth rate and the economy’s endogenous growth rate, and (iii) non-uniqueness of Friedman rule.

[1]  A. Cigno,et al.  Agency in Family Policy: A Survey , 2009, SSRN Electronic Journal.

[2]  Michael Funke,et al.  A Convex Hull Approach to Counterfactual Analysis of Trade Openness and Growth , 2009 .

[3]  Anthony B. Atkinson,et al.  Welfare Implications of the Taxation of Savings , 1980 .

[4]  Marc Gronwald,et al.  Evaluating Emission Trading as a Policy Tool - Evidence from Conditional Jump Models , 2009, SSRN Electronic Journal.

[5]  Lawrence J. Christiano,et al.  Optimal fiscal and monetary policy: some recent results , 1991 .

[6]  Susanne Neckermann,et al.  What is an Award Worth? An Econometric Assessment of the Impact of Awards on Employee Performance , 2009, SSRN Electronic Journal.

[7]  Patricia Funk,et al.  Does Direct Democracy Reduce the Size of Government? New Evidence from Historical Data, 1890–2000 , 2009 .

[8]  Christian Lessmann,et al.  One Size Fits All? Decentralization, Corruption, and the Monitoring of Bureaucrats , 2009, SSRN Electronic Journal.

[9]  F. Gahvari.  Lump-sum taxation and the superneutrality and optimum quantity of money in life cycle growth models , 1988 .

[10]  J. Haslag,et al.  Optimal Monetary Policy and Economic Growth , 2006 .

[11]  Pierre-Daniel G. Sarte,et al.  Inflation uncertainty and growth in a cash-in-advance economy , 2000 .

[12]  Oliver Himmler,et al.  The Effects of School Competition on Academic Achievement and Grading Standards , 2009, SSRN Electronic Journal.

[13]  Kenneth L. Judd,et al.  Redistributive Taxation in a Simple Perfect Foresight Model , 1985 .

[14]  Mark P. Taylor,et al.  The Crisis in the Foreign Exchange Market , 2009, SSRN Electronic Journal.

[15]  A. Petrucci.  Nonoptimality of the Friedman Rule with Capital Income Taxation , 2011 .

[16]  C. Yip,et al.  Examining the long-run effect of money on economic growth , 1992 .

[17]  Ulrich Woitek,et al.  Productivity Shocks and Aggregate Cycles in an Estimated Endogenous Growth Model , 2009, SSRN Electronic Journal.

[18]  F. Gahvari.  The Friedman rule: Old and new , 2007 .

[19]  B. Smith.  Interest on Reserves and Sunspot Equilibria: Friedman's Proposal Reconsidered , 1991 .

[20]  Roman M. Sheremeta,et al.  An experimental investigation of Colonel Blotto games , 2009, SSRN Electronic Journal.

[21]  Assaf Razin,et al.  Migration-Regime Liberalization and Social Security: Political-Economy Effect , 2009, SSRN Electronic Journal.

[22]  Milton Friedman,et al.  The Optimum Quantity of Money''in The Optimum Quantity of Money and other essays , 1969 .

[23]  Felix J. Bierbrauer,et al.  Optimal Income Taxation and Public Goods Provision in a Large Economy with Aggregate Uncertainty , 2009, SSRN Electronic Journal.

[24]  Ching‐chong Lai,et al.  (In)determinacy, increasing returns, and the optimality of the Friedman rule in an endogenously growing open economy , 2010 .

[25]  Juin-jen Chang,et al.  Equilibrium Dynamics in an Endogenous Growth Model of Money and Banking , 2007 .

[26]  B. Smith.  Monetary Policy, Banking Crises, and the Friedman Rule , 2002 .

[27]  Vivek Ghosal,et al.  Business Strategy and Firm Reorganization under Changing Market Conditions , 2009, SSRN Electronic Journal.

[28]  John Whalley,et al.  Trade Sanctions, Financial Transfers and BRIC's Participation in Global Climate Change Negotiations , 2009, SSRN Electronic Journal.

[29]  Peter A. Diamond,et al.  Optimal Taxation and Public Production I: Production Efficiency, II: Tax Rules , 1971 .

[30]  Philippe Michel,et al.  Temporary bubbles , 2003, J. Econ. Theory.

[31]  Frank Hahn,et al.  A critical essay on modern macroeconomic theory , 1995 .

[32]  P. Ireland.  The Liquidity Trap, the Real Balance Effect, and the Friedman Rule , 2005 .

[33]  R. Lipsey,et al.  The General Theory of Second Best , 1956 .

[34]  H. Bohn,et al.  A Static Model for Voting on Social Security , 2009, SSRN Electronic Journal.

[35]  Francesco Menoncin,et al.  Retrospective Capital Gains Taxation in the Real World , 2009 .

[36]  Giovanni Facchini,et al.  Reforming Legislatures: Is One House Better than Two? , 2009, SSRN Electronic Journal.

[37]  John Hicks,et al.  M. Friedman. The Optimum Quantity of Money , 1970 .

[38]  Nikolaus Wolf,et al.  Shooting on a Moving Target: Explaining European Bank Rates during the Interwar Period , 2009, SSRN Electronic Journal.

[39]  Antonio Afonso,et al.  Spend-and-Tax: A Panel Data Investigation for the EU , 2009 .

[40]  Frédéric Docquier,et al.  Optimal Accumulation in an Endogenous Growth Setting with Human Capital , 2006, J. Econ. Theory.

[41]  Marcelo Resende,et al.  Capital Structure and Regulation in U.S. Local Telephony: An Exploratory Econometric Study , 2009, SSRN Electronic Journal.

[42]  Paul Gomme.  Money and growth revisited , 1993 .

[43]  Balázs Égert,et al.  Infrastructure and Growth: Empirical Evidence , 2009, SSRN Electronic Journal.

[44]  P. Weil.  Overlapping families of infinitely-lived agents , 1989 .

[45]  Bart Cockx,et al.  Flexicurity in Belgium - A Proposal Based on Economic Principles , 2009, SSRN Electronic Journal.

[46]  M. King.  Savings and Taxation , 1980 .

[47]  Lawrence J. Christiano,et al.  Optimality of the Friedman Rule in Economies with Distorting Taxes , 1993 .

[48]  F. Ploeg,et al.  Money and Endogenous Growth , 1994 .

[49]  O. Fabel,et al.  Implicit vs. Explicit Incentives: Theory and a Case Study , 2009, Social Science Research Network.

[50]  Ching‐chong Lai,et al.  Anticipated Inflation in a Monetary Economy with Endogenous Growth , 2000 .

[51]  Bram Smeets,et al.  Government Deficits in the European Union: An Analysis of Entry and Exit Dynamics , 2009, SSRN Electronic Journal.

[52]  Tobias Lindhe,et al.  Dividend Taxation, Share Repurchases and the Equity Trap , 2009, SSRN Electronic Journal.

[53]  Lars P. Feld,et al.  Political stability and fiscal policy: time series evidence for the Swiss federal level since 1849 , 2009 .

[54]  Marc Gronwald,et al.  Investigating the U.S. Oil-Macroeconomy Nexus Using Rolling Impulse Responses , 2009, SSRN Electronic Journal.

[55]  Christian Pierdzioch,et al.  Low Skill but High Volatility? , 2009, SSRN Electronic Journal.

[56]  E. Phelps.  INFLATION IN THE THEORY OF PUBLIC FINANCE , 1973 .

[57]  Steven Russell,et al.  The Role of Money in Two Alternative Models: When is the Friedman Rule Optimal, and Why? , 2005 .

[58]  The optimality of the Friedman rule when some distorting taxes are exogenous , 2008 .

[59]  P. Michel,et al.  Cash-in-advance constraints in the diamond overlapping generations model: neutrality and optimality of monetary policies , 1999 .

[60]  Costas Arkolakis.  A Unified Theory of Firm Selection and Growth , 2009, SSRN Electronic Journal.

[61]  L. Jones,et al.  Growth and the Effects of Inflation , 1993 .

[62]  Felix J. Bierbrauer,et al.  On the Legitimacy of Coercion for the Financing of Public Goods , 2009, SSRN Electronic Journal.

[63]  Akihisa Shibata,et al.  Monetary Policy, Overlapping Generations, and Patterns of Growth , 1995 .

[64]  A. Dreher,et al.  Government Decentralization as a Disincentive for Transnational Terror? An Empirical Analysis , 2009, SSRN Electronic Journal.

[65]  Laurence Weiss.  The Effects of Money Supply on Economic Welfare , 1980 .

[66]  Stergios Skaperdas,et al.  The costs of organized violence: a review of the evidence , 2009, SSRN Electronic Journal.

[67]  Andrew B. Abel.  Optimal Monetary Growth , 1987 .

[68]  Christophe Chamley,et al.  OPTIMAL TAXATION OF CAPITAL INCOME IN GENERAL EQUILIBRIUM WITH INFINITE LIVES , 1986 .

[69]  B. Frey,et al.  Punishment – and Beyond , 2009, SSRN Electronic Journal.

[70]  P. Michel,et al.  CASH-IN-ADVANCE CONSTRAINTS, BUBBLES, AND MONETARY POLICY , 2005, Macroeconomic Dynamics.

[71]  Peter A. Diamond,et al.  Optimal Taxation and Public Production II: Tax Rules , 1971 .

[72]  Resolving Differences over the Optimal Quantity of Money , 1993 .

[73]  L. Gil‐Alana,et al.  Long memory in US real output per capita , 2009 .

[74]  Walter E. Block,et al.  On the optimum quantity of money , 2004 .