Transitional Dynamics and Long-run Optimal Taxation Under Incomplete Markets

Acikgoz, Omer (2013): Transitional Dynamics and Long-run Optimal Taxation Under Incomplete Markets.

Abstract

Aiyagari (1995) showed that long-run optimal fiscal policy features a positive tax rate on capital income in Bewley-type economies with heterogeneous agents and incomplete markets. However, determining the magnitude of the optimal capital income tax rate was considered to be prohibitively difficult due to the need to compute the optimal tax rates along the transition path. This paper shows that, in this class of models, long-run optimal fiscal policy and the corresponding allocation can be studied independently of the initial conditions and the transition path. Numerical methods based on this finding are used on a model calibrated to the U.S. economy. I find that the observed average capital income tax rate in the U.S. is too high, the average labor income tax rate and the debt-to-GDP ratio are too low, compared to the long-run optimal levels. The implications of these findings for the existing literature on the optimal quantity of debt and constrained efficiency are also discussed.

• Item Type: MPRA Paper
• Language: English
• Keywords: Optimal Taxation, Ramsey Problem, Incomplete Markets, Heterogeneous Agents
• Subjects: E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy; E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E21 - Consumption ; Saving ; Wealth; E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E25 - Aggregate Factor Income Distribution; E - Macroeconomics and Monetary Economics > E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook; E - Macroeconomics and Monetary Economics > E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook > E62 - Fiscal Policy; H - Public Economics > H3 - Fiscal Policies and Behavior of Economic Agents; H - Public Economics > H6 - National Budget, Deficit, and Debt

References

Acemoglu, Daron and Martin K. Jensen. 2012. “Robust Comparative Statics in Large Dynamic Economies.” Working paper.

Aiyagari, S. Rao. 1994a. “Optimal capital income taxation with incomplete markets, borrowing constraints, and constant discounting.” Working Paper 508, Federal Reserve Bank of Minneapolis.

Aiyagari, S Rao. 1994b. “Uninsured Idiosyncratic Risk and Aggregate Saving.” The Quarterly Journal of Economics 109 (3):659–84.

Aiyagari, S Rao. 1995. “Optimal Capital Income Taxation with Incomplete Markets, Borrowing Constraints, and Constant Discounting.” Journal of Political Economy 103 (6):1158–75.

Aiyagari, S. Rao and Ellen R. McGrattan. 1998. “The optimum quantity of debt.” Journal of Monetary Economics 42 (3):447–469.

Albanesi, Stefania and Roc Armenter. 2012. “Intertemporal Distortions in the Second Best.” Review of Economic Studies 79 (4):1271–1307.

Altig, David and Steve J. Davis. 1989. “Government debt, redistributive fiscal policies, and the interaction between borrowing constraints and intergenerational altrusim.” Journal of Monetary Economics 24 (1):3– 29.

Atkeson, Andrew, V.V. Chari, and Patrick J. Kehoe. 1999. “Taxing capital income: a bad idea.” Quarterly Review (Summer):3–17.

Auerbach, Alan J and Laurence J Kotlikoff. 1987. “Evaluating Fiscal Policy with a Dynamic Simulation Model.” American Economic Review 77 (2):49–55.

Bakis, Ozan, Baris Kaymak, and Markus Poschke. 2012. “On the Optimality of Progressive Income Redistri- bution.” Working paper.

Carroll, Christopher. 2012. “Theoretical foundations of buffer-stock saving.” Working paper.

Carroll, Christopher D. 1997. “Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis.” The Quarterly Journal of Economics 112 (1):1–55.

Carroll, Christopher D and Miles S Kimball. 1996. “On the Concavity of the Consumption Function.” Econo- metrica 64 (4):981–92.

Chamley, Christophe. 1986. “Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives.” Econometrica 54 (3):607–22.

Chang, Yongsung and Sun-Bin Kim. 2006. “From Individual To Aggregate Labor Supply: A Quantitative Analysis Based On A Heterogeneous Agent Macroeconomy.” International Economic Review 47 (1):1–27.

Chari, V.V. and Patrick J. Kehoe. 1999. “Optimal fiscal and monetary policy.” In Handbook of Macroeconomics, vol. 1, edited by J. B. Taylor and M. Woodford, chap. 26. Elsevier, 1671–1745.

Conesa, Juan Carlos, Sagiri Kitao, and Dirk Krueger. 2009. “Taxing Capital? Not a Bad Idea after All!” American Economic Review 99 (1):25–48.

Davila, Julio, Jay H. Hong, Per Krusell, and Jose-Victor Rios-Rull. 2012. “Constrained Efficiency in the Neoclassical Growth Model With Uninsurable Idiosyncratic Shocks.” Econometrica 80 (6):2431–2467.

Deaton, Angus. 1991. “Saving and Liquidity Constraints.” Econometrica 59 (5):1221–48.

Diaz-Gimenez, Javier, Andy Glover, and Jose-Victor Rios-Rull. 2011. “Facts on the Distributions of Earnings, Income and Wealth in the United States: 2007 Update.” Federal Reserve Bank of Minneapolis Quarterly Review 34 (1):2–31.

Domeij, David and Jonathan Heathcote. 2004. “On The Distributional Effects Of Reducing Capital Taxes.” International Economic Review 45 (2):523–554.

Erosa, Andres and Martin Gervais. 2002. “Optimal Taxation in Life-Cycle Economies.” Journal of Economic Theory 105 (2):338–369.

Gottardi, Piero, Atsushi Kajii, and Tomoyuki Nakajima. 2011. “Optimal taxation and constrained inefficiency in an infinite-horizon economy with incomplete markets.” European University Institute Economics Working Papers (ECO2011/18).

Gottardi, Piero, Atsushi Kajii, and Tomoyuki Nakajima. 2013. “Constrained Inefficiency and Optimal Taxation with Uninsurable Risks.” European University Institute Economics Working Papers

Hayashi, Fumio. 1985. “The Effect of Liquidity Constraints on Consumption: A Cross-sectional Analysis.” The Quarterly Journal of Economics 100 (1):183–206.

Heathcote, Jonathan. 2005. “Fiscal Policy with Heterogeneous Agents and Incomplete Markets.” Review of Economic Studies 72 (1):161–188.

Holmstrom, Bengt and Jean Tirole. 1998. “Private and Public Supply of Liquidity.” Journal of Political Economy 106 (1):1–40.

Hubbard, R. Glenn and Kenneth L. Judd. 1986. “Liquidity Constraints, Fiscal Policy, and Consumption.” Brookings Papers on Economic Activity 17 (1):1–60.

Huggett, Mark. 1993. “The risk-free rate in heterogeneous-agent incomplete-insurance economies.” Journal of Economic Dynamics and Control 17 (5-6):953–969. Imrohoroglu, Selahattin. 1998. “A Quantitative Analysis of Capital Income Taxation.” International Economic Review 39 (2):307–28.

Jones, Larry E., Rodolfo E. Manuelli, and Peter E. Rossi. 1997. “On the Optimal Taxation of Capital Income.” Journal of Economic Theory 73 (1):93–117.

Judd, Kenneth L. 1985. “Redistributive taxation in a simple perfect foresight model.” Journal of Public Economics 28 (1):59–83.

Kocherlakota, Narayana R. 2007. “Money and bonds: an equivalence theorem.” Staff Report 393, Federal Reserve Bank of Minneapolis.

Krueger, Dirk and Alexander Ludwig. 2013. “Optimal Progressive Taxation and Education Subsidies in a Model of Endogenous Human Capital Formation.” MEA discussion paper series 13267, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.

Krusell, Per and Anthony A. Smith. 1998. “Income and Wealth Heterogeneity in the Macroeconomy.” Journal of Political Economy 106 (5):867–896.

Lucas, Jr, Robert E. 1990. “Supply-Side Economics: An Analytical Review.” Oxford Economic Papers 42 (2):293–316. Marcet, Albert and Ramon Marimon. 2011. “Recursive Contracts.” European University Institute Economics Working Papers (15).

Schechtman, Jack and Vera L. S. Escudero. 1977. “Some results on ‘an income fluctuation problem’.” Journal of Economic Theory 16 (2):151–166.

Shapiro, Matthew D. and Joel Slemrod. 2003. “Consumer Response to Tax Rebates.” American Economic Review 93 (1):381–396.

Stokey, Nancy L., Robert E. Lucas, and Edward C. Prescott. 1989. Recursive Methods in Economic Dynamics. Harvard University Press.

Szeidl, Adam. 2013. “Stable Invariant Distribution in Buffer-Stock Savings and Stochastic Growth Models.” Working paper.

Tauchen, George. 1986. “Finite state markov-chain approximations to univariate and vector autoregres- sions.” Economics Letters 20 (2):177–181.

Vissing-Jorgensen, Annette and Arvind Krishnamurthy. 2008. “The Aggregate Demand for Treasury Debt.” 2008 Meeting Papers 713, Society for Economic Dynamics.

Woodford, Michael. 1990. “Public Debt as Private Liquidity.” American Economic Review 80 (2):382–88.

Yotsuzuka, Toshiki. 1987. “Ricardian equivalence in the presence of capital market imperfections.” Journal of Monetary Economics 20 (2):411–436.