Seoul Journal of Economics
[ Article ]
Seoul Journal of Economics - Vol. 28, No. 1, pp.31-52
ISSN: 1225-0279 (Print)
Print publication date 28 Feb 2015
Received 22 Oct 2014 Revised 30 Jan 2015 Accepted 02 Feb 2015

Optimal Allocation of Social Cost for Electronic Payment System: A Ramsey Approach

Pidong Huang ; Young Sik Kim ; Manjong Lee
Assistant Professor, Department of Economics, Korea University, Tel: 82-2-3290-5133, Fax: 82-2-3290-2200 pidonghuang@korea.ac.kr
Professor, Department of Economics, Seoul National University, Tel: 82-2-880-6387, Fax: 82-2-886-4231 kimy@snu.ac.kr
Associate Professor, Department of Economics, Korea University, Tel: 82-2-3290-2223, Fax: 82-2-3290-2200 manjong@korea.ac.kr

JEL Classification: E40, E60

Abstract

Using a standard Ramsey approach, we examine the optimal allocation of social cost for an electronic payment system in the context of a dynamic general equilibrium model. The benevolent government provides electronic payment services and allocates relevant social cost through taxation on the beneficiaries’ labor and consumption. A higher tax rate on labor yields the following desirable allocations. First, it implies a lower welfare loss because of the distortionary consumption taxation. It also enhances the economy of scale in the use of electronic payment technology, reducing per transaction cost of electronic payment. Finally, it saves the cost of withdrawing and carrying around cash by reducing the frequency of cash trades. All these channels together imply optimality of the unity tax rate on labor.

Keywords:

Cash, Electronic payment cost, Ramsey problem

Acknowledgments

We are grateful to anonymous referees for their valuable suggestions. Manjong Lee (corresponding author) acknowledges the financial support from the Korea University (Grant No. K1420811) and the National Research Foundation of Korea funded by the Korean government (NRF-362-2008-1-A00001). Young Sik Kim gratefully acknowledges the financial support from the Institute of Economic Research of Seoul National University. The usual disclaimer applies.

References

  • Aiyagari, S., Braun, R., and Eckstein, Z. “Transaction Services, Inflation, and Welfare.” Journal of Political Economy 106 (No. 6 1998): 1274-1301. [https://doi.org/10.1086/250047]
  • Aiyagari, S., Wallace, N., and Wright, R. “Coexistence of Money and Interest-Bearing Securities.” Journal of Monetary Economics 37 (No. 3 1996): 397-419. [https://doi.org/10.1016/0304-3932(96)01260-3]
  • Aliprantis, D., Camera, G., and Puzzello, D. “Anonymous Markets and Monetary Trading.” Journal of Monetary Economics 54 (No. 7 2007): 1905-1928. [https://doi.org/10.1016/j.jmoneco.2006.11.002]
  • Berentsen, A., Camera, G., and Waller, C. “The Distribution of Money Balances and the Nonneutrality of Money.” International Economic Review 46 (No. 2 2005): 465-487. [https://doi.org/10.1111/j.1468-2354.2005.00329.x]
  • Camera, G., and Corbae, D. “Money and Price Dispersion.” International Economic Review 40 (No. 4 1999): 985-1008. [https://doi.org/10.1111/1468-2354.00050]
  • Corbae, D., Temzelides, T., and Wright, R. “Directed Matching and Monetary Exchange.” Econometrica 71 (No. 3 2003): 731-756. [https://doi.org/10.1111/1468-0262.00424]
  • Garcia-Swartz, D., Hahn, R., and Layne-Farrar, A. “The Move Toward a Cashless Society: Calculating the Costs and Benefits.” Review of Network Economics 5 (No. 2 2006): 199-228. [https://doi.org/10.2202/1446-9022.1095]
  • He, P., Huang, L., and Wright, R. “Money, Banking, and Monetary Policy.” Journal of Monetary Economics 55 (No. 6 2008): 1013-1024. [https://doi.org/10.1016/j.jmoneco.2008.06.004]
  • Hayashi, F., and Keeton, W. “Measuring the Costs of Retail Payment Methods” Economic Review, Federal Reserve Bank of Kansas City, Second Quarter (2012): 37-77.
  • Head, A., and Kumar, A. “Price Dispersion, Inflation, and Welfare.” International Economic Review 46 (No. 2 2005): 533-572. [https://doi.org/10.1111/j.1468-2354.2005.00333.x]
  • Kim, Y. S., and Lee, M. “Price Rigidity and Means of Payment.” Seoul Journal of Economic 25 (No. 1 2012): 89-109.
  • Kocherlakota, N. “Money is Memory.” Journal of Economic Theory 81 (No. 2 1998): 232-251. [https://doi.org/10.1006/jeth.1997.2357]
  • Lagos, R, and Wright, R. “A Unified Framework for Monetary Theory and Policy Analysis.” Journal of Political Economy 113 (No. 3 2005): 463-484. [https://doi.org/10.1086/429804]
  • Lee, M. “Constrained or Unconstrained Price for Debit Card Payment?” Journal of Macroeconomics 41 (No. 3 2014): 53-65. [https://doi.org/10.1016/j.jmacro.2014.04.004]
  • Lee, M., Wallace, N., and Zhu, T. “Modeling Denomination Structures.” Econometrica 73 (No. 3 2005): 949-960. [https://doi.org/10.1111/j.1468-0262.2005.00599.x]
  • Li, Y. “Currency and Checking Deposits as Means of Payment.” Review of Economic Dynamics 14 (No. 2 2011): 403-417. [https://doi.org/10.1016/j.red.2009.11.002]
  • Lotz, S., and Vasseli, F. Electronic Purse versus Fiat Money: A Harsh Competition. Working Paper, University of Paris 2, 2013.
  • Molico, M. “The Distribution of Money and Prices in Search Equilibrium.” International Economic Review 47 (No. 3 2006): 701-722. [https://doi.org/10.1111/j.1468-2354.2006.00393.x]
  • Monnet, C., and Roberds, W. “Optimal Pricing of Payment Services.” Journal of Monetary Economics 55 (No. 8 2008): 1428-1440. [https://doi.org/10.1016/j.jmoneco.2008.09.007]
  • Prager, R., Manuszak, M., Kiser, E., and Borzekowski, R. Interchange Fees and Payment Card Networks: Economics, Industry Developments, and Policy Issues. Finance and Economics Discussion Series 2009-23, Federal Reserve Board, 2009. [https://doi.org/10.2139/ssrn.3107189]
  • Rochet, J., and Wright, J. “Credit card interchange fees.” Journal of Banking and Finance 34 (No. 8 2010): 1788-1797. [https://doi.org/10.1016/j.jbankfin.2010.02.026]
  • Rocheteau, G., and Wright, R. “Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium.” Econometrica 73 (No. 1 2005): 175-202. [https://doi.org/10.1111/j.1468-0262.2005.00568.x]
  • Schmiedel, H., Kostova, G., and Ruttenberg, W. “The Social and Private Costs of Retail Payment Instruments: A European Perspective.” Occasional Paper Series No. 137, European Central Bank, 2012.
  • Shi, S. “Money and Prices: A Model of Search and Bargaining.” Journal of Economic Theory 67 (No. 2 1995): 467-498. [https://doi.org/10.1006/jeth.1995.1081]
  • Shy, O. “Trends in Consumer Payments.” Consumer Payments Research Center, Federal Reserve Bank of Boston, 2012.
  • Stavins, J. “Consumer Payment Cards: Lessons from Consumer Surveys.” Consumer Payments Research Center, Federal Reserve Bank of Boston, 2012.
  • Telyukova, I. “Household Need for Liquidity and the Credit Card Debt Puzzle.” Review of Economic Studies 80 (No. 3 2013): 1148-1177. [https://doi.org/10.1093/restud/rdt001]
  • Trejos, A., and Wright, R. “Search, Bargaining, Money and Prices.” Journal of Political Economy 103 (No. 1 1995): 118-141. [https://doi.org/10.1086/261978]
  • Wallace, N. “Whither Monetary Economics?” International Economic Review 42 (No. 4 2001): 847-870. [https://doi.org/10.1111/1468-2354.00137]
  • Wang, Z. “Regulating Debit Cards: The Case of Ad Valorem Fees.” Economic Review, First Quarter (2010): 71-93.
  • Verdier, M. “Interchange Fees in Payment Card Systems: A Survey of the Literature.” Journal of Economic Surveys 25 (No. 2 2011): 273-297. [https://doi.org/10.1111/j.1467-6419.2009.00607.x]
  • Zhu, T. “Existence of Monetary Steady States in a Matching Model: Indivisible Money.” Journal of Economic Theory 112 (No. 2 2003): 307-324. [https://doi.org/10.1016/S0022-0531(03)00132-7]