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Long-Run Impacts of Inflation Tax with Endogenous Capital Depreciation


  • Fujisaki, Seiya
  • Mino, Kazuo


This paper examines the long-run impact of inflation tax in the context of a generalized Ak growth model in which the rate of capital depreciation is endogenously determined. It is assumed that the rate of capital depreciation positively depends on capital utilization rate and negatively depends on maintenance spending. Money is introduced via a cash in advance constraint that may apply to the maintenance expenditure as well as to consumption and investment spending. We find that the long-run effects of inflation tax are more complex than those obtained in the monetary Ak growth model with a fixed capital depreciation rate. In particular, the relation between inflation and growth is highly sensitive to the specifications of the capital depreciation technology as well as to the forms of cash-in-advance constraint.

Suggested Citation

  • Fujisaki, Seiya & Mino, Kazuo, 2009. "Long-Run Impacts of Inflation Tax with Endogenous Capital Depreciation," MPRA Paper 16657, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:16657

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    References listed on IDEAS

    1. Ellen R. McGrattan & James A. Schmitz, 1999. "Maintenance and repair: too big to ignore," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 2-13.
    2. repec:ebl:ecbull:v:5:y:2004:i:2:p:1-7 is not listed on IDEAS
    3. Jang-Ting Guo & Kevin J. Lansing, 2007. "Maintenance expenditures and indeterminacy under increasing returns to scale," International Journal of Economic Theory, The International Society for Economic Theory, vol. 3(2), pages 147-158.
    4. Omar Licandro & Luis A. Puch & J. Ramón Ruiz-Tamarit, 2001. "Optimal growth under endogenous depreciation, capital utilization and maintenance costs," Investigaciones Economicas, Fundación SEPI, vol. 25(3), pages 543-559, September.
    5. Seiya Fujisaki & Kazuo Mino, 2009. "Long-Run Impacts of Inflation Tax in the Presence of Multiple Capital Goods," Economics Bulletin, AccessEcon, vol. 29(3), pages 1644-1652.
    6. Jha, Sailesh K. & Wang, Ping & Yip, Chong K., 2002. "Dynamics in a transactions-based monetary growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 26(4), pages 611-635, April.
    7. Itaya, Jun-Ichi & Mino, Kazuo, 2007. "Technology, Preference Structure, And The Growth Effect Of Money Supply," Macroeconomic Dynamics, Cambridge University Press, vol. 11(05), pages 589-612, November.
    8. Chen, Shu-Hua & Guo, Jang-Ting, 2008. "Velocity of money, equilibrium (in)determinacy and endogenous growth," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 1085-1096, September.
    9. J. Aznar-Márquez & J. R. Ruiz-Tamarit, "undated". "Endogenous Growth, Capital Utilization and Depreciation," Working Papers 2004-21, FEDEA.
    10. repec:adr:anecst:y:2000:i:58:p:05 is not listed on IDEAS
    11. repec:ebl:ecbull:v:5:y:2008:i:13:p:1-7 is not listed on IDEAS
    12. Jang-Ting Guo & Shu-Hua Chen, 2008. "On the growth and velocity effects of money," Economics Bulletin, AccessEcon, vol. 5(13), pages 1-7.
    13. repec:ebl:ecbull:v:5:y:2007:i:11:p:1-7 is not listed on IDEAS
    14. Kazuo Mino & Seiya Fujisaki, 2007. "Generalized Taylor Rule and Determinacy of Growth Equilibrium," Economics Bulletin, AccessEcon, vol. 5(11), pages 1-7.
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    Cited by:

    1. Gaowang Wang & Heng-fu Zou, 2010. "Multiple Equilibria and Indeterminacy in an Optimal Growth Model with Endogenous Capital Depreciation," CEMA Working Papers 392, China Economics and Management Academy, Central University of Finance and Economics.

    More about this item


    cash-in-advance constraint; AK growth model; endogenous capital depreciation; maintenance expenditures;

    JEL classification:

    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity

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