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Money and capital: a quantitative analysis

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  • S. Boragan Aruoba
  • Christopher J. Waller
  • Randall Wright

Abstract

We study the effects of money (anticipated inflation) on capital formation. Previous papers on this topic adopt reduced-form approaches, putting money in the utility function or imposing cash in advance, but use otherwise frictionless models. We follow a literature that is more explicit about the frictions making money essential. This introduces several new elements, including a two-sector structure with centralized and decentralized markets, stochastic trading opportunities, and bargaining. We show how these elements matter qualitatively and quantitatively. Our numerical results differ from findings in the reduced-form literature. The analysis reduces the previously large gap between mainstream macro and monetary theory.

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  • S. Boragan Aruoba & Christopher J. Waller & Randall Wright, 2009. "Money and capital: a quantitative analysis," Working Papers 2009-031, Federal Reserve Bank of St. Louis.
    • Handle: RePEc:fip:fedlwp:2009-031
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    1. Prescott, Edward C., 1986. "Theory ahead of business-cycle measurement," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 25(1), pages 11-44, January.
    2. Klee, Elizabeth, 2008. "How people pay: Evidence from grocery store data," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 526-541, April.
    3. Paul Gomme & B. Ravikumar & Peter Rupert, 2011. "The Return to Capital and the Business Cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(2), pages 262-278, April.
    4. Ben Craig & Guillaume Rocheteau, 2008. "Inflation and Welfare: A Search Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(1), pages 89-119, February.
    5. Diamond, Peter A, 1984. "Money in Search Equilibrium," Econometrica, Econometric Society, vol. 52(1), pages 1-20, January.
    6. Robert E. Lucas, 2001. "Inflation and Welfare," International Economic Association Series, in: Axel Leijonhufvud (ed.), Monetary Theory as a Basis for Monetary Policy, chapter 4, pages 96-142, Palgrave Macmillan.
    7. Miguel Molico, 2006. "The Distribution Of Money And Prices In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(3), pages 701-722, August.
    8. Ricardo Lagos & Randall Wright, 2005. "A Unified Framework for Monetary Theory and Policy Analysis," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 463-484, June.
    9. Fumio Hayashi & Edward C. Prescott, 2004. "The 1990s in Japan: a lost decade," Chapters, in: Paolo Onofri (ed.), The Economics of an Ageing Population, chapter 2, Edward Elgar Publishing.
    10. Cooley, Thomas F & Hansen, Gary D, 1989. "The Inflation Tax in a Real Business Cycle Model," American Economic Review, American Economic Association, vol. 79(4), pages 733-748, September.
    11. Ricardo J. Caballero & Mohamad L. Hammour, 1998. "The Macroeconomics of Specificity," Journal of Political Economy, University of Chicago Press, vol. 106(4), pages 724-767, August.
    12. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    13. Goldfeld, Stephen M. & Sichel, Daniel E., 1990. "The demand for money," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 8, pages 299-356, Elsevier.
    14. Thomas F. Cooley & Gary D. Hansen, 1991. "The welfare costs of moderate inflations," Proceedings, Federal Reserve Bank of Cleveland, pages 483-518.
    15. Shi, Shouyong, 1999. "Search, inflation and capital accumulation," Journal of Monetary Economics, Elsevier, vol. 44(1), pages 81-103, August.
    16. Finn E. Kydland & Scott Freeman, 2000. "Monetary Aggregates and Output," American Economic Review, American Economic Association, vol. 90(5), pages 1125-1135, December.
    17. Menger, Carl, 1892. "On the Origins of Money," History of Economic Thought Articles, McMaster University Archive for the History of Economic Thought, vol. 2, pages 239-255.
    18. Irina A. Telyukova & Ludo Visschers, 2009. "Precautionary Demand for Money in a Monetary Business Cycle Model," EIEF Working Papers Series 0906, Einaudi Institute for Economics and Finance (EIEF), revised Jun 2009.
    19. Wallace, Neil, 2001. "Whither Monetary Economics?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 847-869, November.
    20. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
    21. Lucas, Robert E, Jr & Stokey, Nancy L, 1987. "Money and Interest in a Cash-in-Advance Economy," Econometrica, Econometric Society, vol. 55(3), pages 491-513, May.
    22. Caballero, Ricardo J., 1999. "Aggregate investment," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 12, pages 813-862, Elsevier.
    23. Basu, Susanto & Fernald, John G, 1997. "Returns to Scale in U.S. Production: Estimates and Implications," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 249-283, April.
    24. Aruoba, S. Boragan & Fernandez-Villaverde, Jesus & Rubio-Ramirez, Juan F., 2006. "Comparing solution methods for dynamic equilibrium economies," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2477-2508, December.
    25. Berentsen, Aleksander & Camera, Gabriele & Waller, Christopher, 2007. "Money, credit and banking," Journal of Economic Theory, Elsevier, vol. 135(1), pages 171-195, July.
    26. Wang, Weimin & Shi, Shouyong, 2006. "The variability of velocity of money in a search model," Journal of Monetary Economics, Elsevier, vol. 53(3), pages 537-571, April.
    27. S. Rao Aiyagari & R. Anton Braun & Zvi Eckstein, 1998. "Transaction Services, Inflation, and Welfare," Journal of Political Economy, University of Chicago Press, vol. 106(6), pages 1274-1301, December.
    28. André Kurmann, 2009. "Holdups and Overinvestment in Physical Capital Markets," Cahiers de recherche 0904, CIRPEE.
    29. S. Boragan Aruoba & Randall Wright, 2003. "Search, money, and capital: a neoclassical dichotomy," Proceedings, Federal Reserve Bank of Cleveland, pages 1085-1117.
    30. Gomme, Paul, 1993. "Money and growth revisited : Measuring the costs of inflation in an endogenous growth model," Journal of Monetary Economics, Elsevier, vol. 32(1), pages 51-77, August.
    31. Arthur J. Hosios, 1990. "On The Efficiency of Matching and Related Models of Search and Unemployment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(2), pages 279-298.
    32. Ping He & Lixin Huang & Randall Wright, 2005. "Money And Banking In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 637-670, May.
    33. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    34. Aruoba, S. Boragan & Waller, Christopher J. & Wright, Randall, 2011. "Money and capital," Journal of Monetary Economics, Elsevier, vol. 58(2), pages 98-116, March.
    35. Gomme, Paul & Rupert, Peter, 2007. "Theory, measurement and calibration of macroeconomic models," Journal of Monetary Economics, Elsevier, vol. 54(2), pages 460-497, March.
    36. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-220, April.
    37. Lucas, Robert E., 1981. "Discussion of : Stanley Fischer, "towards an understanding of the costs of inflation: II"," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 15(1), pages 43-52, January.
    38. Fischer, Stanley, 1981. "Towards an understanding of the costs of inflation: II," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 15(1), pages 5-41, January.
    39. Guillaume Rocheteau & Randall Wright, 2005. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 175-202, January.
    40. D. Aliprantis, C. & Camera, G. & Puzzello, D., 2007. "Anonymous markets and monetary trading," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1905-1928, October.
    41. Kocherlakota, Narayana R., 1998. "Money Is Memory," Journal of Economic Theory, Elsevier, vol. 81(2), pages 232-251, August.
    42. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
    43. McGrattan, Ellen R & Rogerson, Richard & Wright, Randall, 1997. "An Equilibrium Model of the Business Cycle with Household Production and Fiscal Policy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(2), pages 267-290, May.
    44. J. B. Taylor & M. Woodford (ed.), 1999. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 1, number 1.
    45. S. Rao Aiyagari & Neil Wallace, 1991. "Existence of Steady States with Positive Consumption in the Kiyotaki-Wright Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(5), pages 901-916.
    46. Miguel Sidrauski, 1967. "Inflation and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 75(6), pages 796-796.
    47. Mei Dong, 2009. "Money and Costly Credit," 2009 Meeting Papers 404, Society for Economic Dynamics.
    48. Acemoglu, Daron & Shimer, Robert, 1999. "Holdups and Efficiency with Search Frictions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 827-849, November.
    49. Stockman, Alan C., 1981. "Anticipated inflation and the capital stock in a cash in-advance economy," Journal of Monetary Economics, Elsevier, vol. 8(3), pages 387-393.
    50. Rocheteau, Guillaume & Rupert, Peter & Shell, Karl & Wright, Randall, 2008. "General equilibrium with nonconvexities and money," Journal of Economic Theory, Elsevier, vol. 142(1), pages 294-317, September.
    51. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
    52. Telyukova, Irina A. & Visschers, Ludo, 2013. "Precautionary money demand in a business-cycle model," Journal of Monetary Economics, Elsevier, vol. 60(8), pages 900-916.
    53. Charalambos D Aliprantis & Gabriele Camera & Daniela Puzzello, 2007. "Contagion Equilibria in a Monetary Model," Econometrica, Econometric Society, vol. 75(1), pages 277-282, January.
    54. Menner Martin, 2006. "A Search-Theoretic Monetary Business Cycle Model with Capital Formation," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-36, November.
    55. Ireland, Peter N, 1994. "Money and Growth: An Alternative Approach," American Economic Review, American Economic Association, vol. 84(1), pages 47-65, March.
    56. Finn E. Kydland (ed.), 1995. "Business Cycle Theory," Books, Edward Elgar Publishing, number 565.
    57. Trejos, Alberto & Wright, Randall, 1995. "Search, Bargaining, Money, and Prices," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 118-141, February.
    58. Dotsey, Michael & Ireland, Peter, 1996. "The welfare cost of inflation in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 29-47, February.
    59. Kiyotaki, Nobuhiro & Wright, Randall, 1993. "A Search-Theoretic Approach to Monetary Economics," American Economic Review, American Economic Association, vol. 83(1), pages 63-77, March.
    60. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    61. Faig, Miquel & Jerez, Belen, 2005. "A theory of commerce," Journal of Economic Theory, Elsevier, vol. 122(1), pages 60-99, May.
    62. Lucas, Robert Jr. & Prescott, Edward C., 1974. "Equilibrium search and unemployment," Journal of Economic Theory, Elsevier, vol. 7(2), pages 188-209, February.
    63. Gomme, Paul, 1993. "Money and growth revisited : Measuring the costs of inflation in an endogenous growth model," Journal of Monetary Economics, Elsevier, vol. 32(1), pages 51-77, August.
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    2. Stephen D. Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 265-302.
    3. Williamson, Stephen & Wright, Randall, 2010. "New Monetarist Economics: Models," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 2, pages 25-96, Elsevier.
    4. Lucy Qian Liu & Liang Wang & Randall Wright, 2009. "“On the ‘Hot Potato Effect’ of Inflation: Intensive versus Extensive Marginsâ€," PIER Working Paper Archive 09-040, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    5. Yuan Yuan, 2014. "Funding Liquidity and Market Liquidity," DETU Working Papers 1406, Department of Economics, Temple University.

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