IDEAS home Printed from https://ideas.repec.org/p/eth/wpswif/08-98.html
   My bibliography  Save this paper

Unifying time-to-build theory

Author

Abstract

Several contributions have recently reconsidered the role of the time to build assumption in explaining some relevant stylized facts. In this paper, the similarities and differences which may emerge when the time to build structure of capital is introduced in a continuous or discrete time framework are studied and enlightened. The most striking difference lies in the dimensionality of the two frameworks, which is always finite in discrete but infinite in continuous time. Then, the deterministic version of the traditional time to build model developed by Kydland and Prescott is presented, and it is shown how the typical time to build model setup in continuous time can be obtained. Moreover, the richest dynamics in continuous time is investigated and, more importantly, it is shown that the predictions in terms of capital, output, and consumption behavior are not signi¯cantly di®erent from its discrete version once the economy is calibrated properly.

Suggested Citation

  • Mauro Bambi, 2008. "Unifying time-to-build theory," CER-ETH Economics working paper series 08/98, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    • Handle: RePEc:eth:wpswif:08-98
    as

    Download full text from publisher

    File URL: https://www.ethz.ch/content/dam/ethz/special-interest/mtec/cer-eth/cer-eth-dam/documents/working-papers/wp_08_98.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Casares, Miguel, 2006. "Time-to-build, monetary shocks, and aggregate fluctuations," Journal of Monetary Economics, Elsevier, vol. 53(6), pages 1161-1176, September.
    3. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
    4. Paul Gomme & Finn E. Kydland & Peter Rupert, 2001. "Home Production Meets Time to Build," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1115-1131, October.
    5. Asea, Patrick K. & Zak, Paul J., 1999. "Time-to-build and cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 23(8), pages 1155-1175, August.
    6. Ms. Petya Koeva Brooks, 2000. "The Facts About Time: To-Build," IMF Working Papers 2000/138, International Monetary Fund.
    7. Diego Comin & Mark Gertler, 2006. "Medium-Term Business Cycles," American Economic Review, American Economic Association, vol. 96(3), pages 523-551, June.
    8. Rouwenhorst, K. Geert, 1991. "Time to build and aggregate fluctuations : A reconsideration," Journal of Monetary Economics, Elsevier, vol. 27(2), pages 241-254, April.
    9. Boucekkine, Raouf & Licandro, Omar & Puch, Luis A. & del Rio, Fernando, 2005. "Vintage capital and the dynamics of the AK model," Journal of Economic Theory, Elsevier, vol. 120(1), pages 39-72, January.
    10. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    11. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
    12. Adams, James D, 1990. "Fundamental Stocks of Knowledge and Productivity Growth," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 673-702, August.
    13. Oliver J. Blanchard, 1997. "The Medium Run," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 28(2), pages 89-158.
    14. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    15. Mansfield, Edwin, 1985. "How Rapidly Does New Industrial Technology Leak Out?," Journal of Industrial Economics, Wiley Blackwell, vol. 34(2), pages 217-223, December.
    16. Montgomery, Michael R., 1995. "'Time-to-build' completion patterns for nonresidential structures, 1961-1991," Economics Letters, Elsevier, vol. 48(2), pages 155-163, May.
    17. Edge, Rochelle M., 2007. "Time-to-build, time-to-plan, habit-persistence, and the liquidity effect," Journal of Monetary Economics, Elsevier, vol. 54(6), pages 1644-1669, September.
    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. Stefano Bosi & Lionel Ragot, 2009. "Time, bifurcations and economic applications," Post-Print halshs-00384513, HAL.
    2. Mauro Bambi & Cristina Girolami & Salvatore Federico & Fausto Gozzi, 2017. "Generically distributed investments on flexible projects and endogenous growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 521-558, February.
    3. Hartwig, Johannes, 2022. "Semi-endogenous growth dynamics in a macroeconomic model with delays," Structural Change and Economic Dynamics, Elsevier, vol. 62(C), pages 538-551.
    4. Emmanuelle Augeraud-Veron & Mauro Bambi & Fausto Gozzi, 2017. "Solving Internal Habit Formation Models Through Dynamic Programming in Infinite Dimension," Journal of Optimization Theory and Applications, Springer, vol. 173(2), pages 584-611, May.
    5. M. Bambi & G. Fabbri & F. Gozzi, 2012. "Optimal policy and consumption smoothing effects in the time-to-build AK model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(3), pages 635-669, August.
    6. Gori, Luca & Guerrini, Luca & Sodini, Mauro, 2015. "A continuous time Cournot duopoly with delays," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 166-177.
    7. Gómez Manuel A., 2014. "Discrete Versus Continuous Time in an Endogenous Growth Model with Durable Consumption," Mathematical Economics Letters, De Gruyter, vol. 2(3-4), pages 67-75, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jung, Yong-Gook, 2013. "An inference about the length of the time-to-build period," Economic Modelling, Elsevier, vol. 33(C), pages 42-54.
    2. Bambi, Mauro & Gozzi, Fausto & Licandro, Omar, 2014. "Endogenous growth and wave-like business fluctuations," Journal of Economic Theory, Elsevier, vol. 154(C), pages 68-111.
    3. Mauro Bambi & Cristina Girolami & Salvatore Federico & Fausto Gozzi, 2017. "Generically distributed investments on flexible projects and endogenous growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 521-558, February.
    4. Peter N. Ireland, 2009. "On the Welfare Cost of Inflation and the Recent Behavior of Money Demand," American Economic Review, American Economic Association, vol. 99(3), pages 1040-1052, June.
    5. Wen, Yi, 1998. "Can a real business cycle model pass the Watson test?," Journal of Monetary Economics, Elsevier, vol. 42(1), pages 185-203, June.
    6. Hippolyte d'Albis & Jean-Pierre Drugeon, 2020. "On Investment and Cycles in Explicitely Solved Vintage Capital Models," PSE Working Papers halshs-02570648, HAL.
    7. Peter Ireland & Scott Schuh, 2008. "Productivity and U.S. Macroeconomic Performance: Interpreting the Past and Predicting the Future with a Two-Sector Real Business Cycle Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(3), pages 473-492, July.
    8. Charles Himmelberg & Alessandra del Boca & Marzio Galeotti & Paola Rota, 2005. "Investment and Time to Plan: A Comparison of Structures vs. Equipment in a Panel of Italian Firms," Working Papers 2005.54, Fondazione Eni Enrico Mattei.
    9. Haejun Jeon, 2023. "Time-to-build and capacity expansion," Annals of Operations Research, Springer, vol. 328(2), pages 1461-1494, September.
    10. Ulrich Brandt-Pollmann & Ralph Winkler & Sebastian Sager & Ulf Moslener & Johannes Schlöder, 2008. "Numerical Solution of Optimal Control Problems with Constant Control Delays," Computational Economics, Springer;Society for Computational Economics, vol. 31(2), pages 181-206, March.
    11. Guangling 'Dave' Liu & Rangan Gupta & Eric Schaling, 2009. "A New-Keynesian DSGE model for forecasting the South African economy," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 28(5), pages 387-404.
    12. Ireland, Peter N., 2004. "A method for taking models to the data," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1205-1226, March.
    13. Christoph Meister & Bart Verspagen & Guntram B. Wolff, 2006. "European Productivity Gaps: Is R&D the Solution?," Chapters, in: Susanne Mundschenk & Michael H. Stierle & Ulrike Stierle-von Schütz & Iulia Traistaru-Siedschlag (ed.), Competitiveness and Growth in Europe, chapter 8, Edward Elgar Publishing.
    14. 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.
    15. d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2014. "Multiple solutions in systems of functional differential equations," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 50-56.
    16. Andrei Polbin & Sergey Drobyshevsky, 2014. "Developing a Dynamic Stochastic Model of General Equilibrium for the Russian Economy," Research Paper Series, Gaidar Institute for Economic Policy, issue 166P, pages 156-156.
    17. Mauro Bambi, 2006. "Endogenous growth and time to build: the AK case," Computing in Economics and Finance 2006 77, Society for Computational Economics.
    18. G Cameron, 1996. "Innovation and Economic Growth," CEP Discussion Papers dp0277, Centre for Economic Performance, LSE.
    19. Paul Gomme & Richard Rogerson & Peter Rupert & Randall Wright, 2005. "The Business Cycle and the Life Cycle," NBER Chapters, in: NBER Macroeconomics Annual 2004, Volume 19, pages 415-592, National Bureau of Economic Research, Inc.
    20. Ambler, Steve & Cardia, Emanuela, 1995. "Les modèles réels de la transmission internationale du cycle économique," L'Actualité Economique, Société Canadienne de Science Economique, vol. 71(2), pages 193-217, juin.

    More about this item

    Keywords

    Discrete and continuous time; time-to-build; mixed functional differential equa- tions.;
    All these keywords.

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:eth:wpswif:08-98. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/iwethch.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.