IDEAS home Printed from https://ideas.repec.org/p/szg/worpap/0201.html
   My bibliography  Save this paper

Stochastic Capital Depreciation and the Comovement of Hours and Productivity

Author

Abstract

In this article, we demonstrate that a small degree of stochastic variation in the depreciation rate of capital can greatly reduce the comovement between hours worked and labor productivity in a neoclassical growth model. The depreciation rate is modeled as a Markov process to place a strict upper bound and to ensure that variation and not the level of the rate is driving the result. Markov switching implies nonlinear decision rules in the dynamic stochastic general equilibrium model (DSGE). Our contribution to DSGE solution methodologies in the presence of Markov switching is to apply Judd's (1998) projection method to nonlinear decision rules. This approach allows for nonlinear decision rules in a richer set of models with many more state variables than can be solved with grid based approximations. The results presented here suggest that Markov switching parameters offer a powerfull extension to DSGE models.

Suggested Citation

  • Michael Dueker & Andreas Fischer & Robert D. Dittmar, 2002. "Stochastic Capital Depreciation and the Comovement of Hours and Productivity," Working Papers 02.01, Swiss National Bank, Study Center Gerzensee.
  • Handle: RePEc:szg:worpap:0201
    as

    Download full text from publisher

    File URL: http://www.szgerzensee.ch/fileadmin/Dateien_Anwender/Dokumente/working_papers/wp-0201.pdf
    File Function: Full text
    Download Restriction: None

    Other versions of this item:

    References listed on IDEAS

    as
    1. Stokey, Nancy L & Rebelo, Sergio, 1995. "Growth Effects of Flat-Rate Taxes," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 519-550, June.
    2. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
    3. 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.
    4. David Andolfatto & Paul Gomme, 2003. "Monetary Policy Regimes and Beliefs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(1), pages 1-30, February.
    5. Omar Licandro & Luis A. Puch, 2000. "Capital Utilization, Maintenance Costs and the Business Cycle," Annals of Economics and Statistics, GENES, pages 143-164.
    6. King, Robert G. & Rebelo, Sergio T., 1999. "Resuscitating real business cycles," Handbook of Macroeconomics,in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 14, pages 927-1007 Elsevier.
    7. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
    8. Bernanke, Ben S. & Gertler, Mark & Gilchrist, Simon, 1999. "The financial accelerator in a quantitative business cycle framework," Handbook of Macroeconomics,in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 21, pages 1341-1393 Elsevier.
    9. Steve Ambler & Alain Paquet, 1992. "Stochastic Depreciation and the Business Cycle Puzzle," Cahiers de recherche CREFE / CREFE Working Papers 8, CREFE, Université du Québec à Montréal.
    10. Timothy Cogley, 1997. "Evaluating non-structural measures of the business cycle," Economic Review, Federal Reserve Bank of San Francisco, pages 3-21.
    11. King, Robert G. & Wolman, Alexander L., 2013. "Inflation Targeting in a St. Louis Model of the 21st Century," Review, Federal Reserve Bank of St. Louis, issue Nov, pages 543-574.
    12. Carlstrom, Charles T. & Fuerst, Timothy S., 2001. "Monetary shocks, agency costs, and business cycles," Carnegie-Rochester Conference Series on Public Policy, Elsevier, pages 1-27.
    13. John H. Cochrane, 1994. "Permanent and Transitory Components of GNP and Stock Prices," The Quarterly Journal of Economics, Oxford University Press, vol. 109(1), pages 241-265.
    14. Abadir, Karim & Talmain, Gabriel, 2001. "Depreciation Rates and Capital Stocks," Manchester School, University of Manchester, vol. 69(1), pages 42-51, January.
    15. Burnside, A. Craig & Eichenbaum, Martin S. & Rebelo, Sergio T., 1996. "Sectoral Solow residuals," European Economic Review, Elsevier, vol. 40(3-5), pages 861-869, April.
    16. Ambler, Steve & Paquet, Alain, 1994. "Stochastic Depreciation and the Business Cycle," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(1), pages 101-116, February.
    17. repec:adr:anecst:y:2000:i:58 is not listed on IDEAS
    18. Simon Gilchrist & John C. Williams, 2000. "Putty-Clay and Investment: A Business Cycle Analysis," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 928-960, October.
    19. repec:adr:anecst:y:2000:i:58:p:05 is not listed on IDEAS
    20. Collard, Fabrice & Kollintzas, Tryphon, 2000. "Maintenance, Utilization, and Depreciation along the Business Cycle," CEPR Discussion Papers 2477, C.E.P.R. Discussion Papers.
    21. Greenwood, Jeremy & Hercowitz, Zvi & Huffman, Gregory W, 1988. "Investment, Capacity Utilization, and the Real Business Cycle," American Economic Review, American Economic Association, vol. 78(3), pages 402-417, June.
    22. Fangxiong Gong, 1995. "Regime-switching monetary policy and real business cycle fluctuations," Research Paper 9528, Federal Reserve Bank of New York.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Canova, Fabio & Ferroni, Filippo & Matthes, Christian, 2015. "Approximating Time Varying Structural Models With Time Invariant Structures," Working Paper 15-10, Federal Reserve Bank of Richmond.
    2. Furlanetto, Francesco & Seneca, Martin, 2014. "New Perspectives On Depreciation Shocks As A Source Of Business Cycle Fluctuations," Macroeconomic Dynamics, Cambridge University Press, vol. 18(06), pages 1209-1233, September.
    3. repec:ebl:ecbull:v:3:y:2007:i:50:p:1-8 is not listed on IDEAS
    4. Jasmina Hasanhodzic & Laurence J. Kotlikoff, 2013. "Generational Risk–Is It a Big Deal?: Simulating an 80-Period OLG Model with Aggregate Shocks," BYU Macroeconomics and Computational Laboratory Working Paper Series 2013-01, Brigham Young University, Department of Economics, BYU Macroeconomics and Computational Laboratory.
    5. Inwon Jang & Hyeon-seung Huh & Richard Wong, 2008. "Optimal capital investment under uncertainty: An extension," Economics Bulletin, AccessEcon, vol. 5(4), pages 1-7.
    6. Richard Harrison & George Kapetanios & Alasdair Scott & Jana Eklund, 2008. "Breaks in DSGE models," 2008 Meeting Papers 657, Society for Economic Dynamics.
    7. Anatoliy Belaygorod & Michael J. Dueker, 2007. "The price puzzle and indeterminacy in an estimated DSGE model," Working Papers 2006-025, Federal Reserve Bank of St. Louis.
    8. George Bitros, 2010. "The theorem of proportionality in contemporary capital theory: An assessment of its conceptual foundations," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 23(4), pages 367-401, December.
    9. Ludmila Fadejeva & Aleksejs Melihovs, 2010. "Measuring Total Factor Productivity and Variable Factor Utilization," Eastern European Economics, Taylor & Francis Journals, pages 63-101.
    10. Paul Pichler, 2007. "On the accuracy of low-order projection methods," Economics Bulletin, AccessEcon, vol. 3(50), pages 1-8.
    11. Bitros, George C., 2009. "The Theorem of Proportionality in Mainstream Capital Theory: An Assessment of its Conceptual Foundations," MPRA Paper 17436, University Library of Munich, Germany.
    12. Tom Holden, 2012. "Medium-frequency cycles and the remarkable near trend-stationarity of output," School of Economics Discussion Papers 1412, School of Economics, University of Surrey.
    13. Deli, Yota D., 2016. "Endogenous capital depreciation and technology shocks," Journal of International Money and Finance, Elsevier, vol. 69(C), pages 318-338.
    14. repec:ebl:ecbull:v:5:y:2008:i:4:p:1-7 is not listed on IDEAS
    15. Pedro P. Alvarez-Lois, 2005. "Production Inflexibilities and the Cost Channel of Monetary Policy," Economic Inquiry, Western Economic Association International, vol. 43(1), pages 170-193, January.
    16. Poudel, Diwakar & Sandal, Leif K. & Kvamsdal, Sturla F. & Steinshamn, Stein I., 2011. "Fisheries Management under Irreversible Investment: Does Stochasticity Matter?," Discussion Papers 2011/20, Norwegian School of Economics, Department of Business and Management Science.
    17. Belaygorod, Anatoliy & Dueker, Michael, 2009. "Indeterminacy, change points and the price puzzle in an estimated DSGE model," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 624-648, March.

    More about this item

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:szg:worpap:0201. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (library). General contact details of provider: http://www.szgerzensee.ch/ .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.