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On the Invariance of the Rate of Return to Convex Adjustment Costs

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  • Andrew B. Abel

Abstract

The Modified Golden Rule, which relates the rate of return on capital and the growth rate of the capital stock along long-run growth paths that maximize the utility of a representative infinitely-lived consumer, is invariant to the introduction of convex capital adjustment costs. Therefore, along balanced growth paths in neoclassical optimal growth models with an exogenous long-run growth rate of capital, the rate of return is invariant to the introduction of convex adjustment costs, though the capital-labor ratio is reduced along such paths. In AK models, convex adjustment costs reduce the growth rate and rate of return on capital.

Suggested Citation

  • Andrew B. Abel, 2001. "On the Invariance of the Rate of Return to Convex Adjustment Costs," NBER Working Papers 8635, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:8635
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    References listed on IDEAS

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    1. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-681, September.
    2. Andrew B. Abel, 2003. "The Effects of a Baby Boom on Stock Prices and Capital Accumulation in the Presence of Social Security," Econometrica, Econometric Society, vol. 71(2), pages 551-578, March.
    3. Abel, Andrew B & Blanchard, Olivier J, 1983. "An Intertemporal Model of Saving and Investment," Econometrica, Econometric Society, vol. 51(3), pages 675-692, May.
    4. Urban J. Jermann & Marianne Baxter, 1999. "Household Production and the Excess Sensitivity of Consumption to Current Income," American Economic Review, American Economic Association, vol. 89(4), pages 902-920, September.
    5. Jermann, Urban J., 1998. "Asset pricing in production economies," Journal of Monetary Economics, Elsevier, vol. 41(2), pages 257-275, April.
    6. Baxter, Marianne & Crucini, Mario J, 1993. "Explaining Saving-Investment Correlations," American Economic Review, American Economic Association, vol. 83(3), pages 416-436, June.
    7. Edmond S. Phelps, 1964. "Second Essay on the Golden Rule of Accumulation," Cowles Foundation Discussion Papers 173, Cowles Foundation for Research in Economics, Yale University.
    8. J. P. Gould, 1968. "Adjustment Costs in the Theory of Investment of the Firm," Review of Economic Studies, Oxford University Press, vol. 35(1), pages 47-55.
    9. Basu, Parantap, 1987. "An Adjustment Cost Model of Asset Pricing," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(3), pages 609-621, October.
    10. Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75, pages 321-321.
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    Cited by:

    1. Bond, Stephen R. & Söderbom, Måns & Wu, Guiying, 2011. "Pursuing the wrong options? Adjustment costs and the relationship between uncertainty and capital accumulation," Economics Letters, Elsevier, vol. 111(3), pages 249-251, June.
    2. Burda, Michael C., 2008. "What kind of shock was it? Regional integration and structural change in Germany after unification," Journal of Comparative Economics, Elsevier, vol. 36(4), pages 557-567, December.
    3. Andrew B. Abel, 2003. "The Effects of a Baby Boom on Stock Prices and Capital Accumulation in the Presence of Social Security," Econometrica, Econometric Society, vol. 71(2), pages 551-578, March.
    4. Michael C. Burda, 2006. "Factor Reallocation in Eastern Germany after Reunification," American Economic Review, American Economic Association, vol. 96(2), pages 368-374, May.
    5. Till Gross, 2013. "Capital Tax Competition and Dynamic Optimal Taxation," Carleton Economic Papers 13-08, Carleton University, Department of Economics.

    More about this item

    JEL classification:

    • E2 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment

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