IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-00674230.html
   My bibliography  Save this paper

Idiosyncratic Production Risk, Growth and the Business Cycle

Author

Listed:
  • Laurent E. Calvet

    (NBER - The National Bureau of Economic Research, Department of Economics, Harvard University - Harvard University)

  • George-Marios Angeletos

    (NBER - The National Bureau of Economic Research, Department of Economics - MIT - Massachusetts Institute of Technology)

Abstract

We introduce a neoclassical growth economy with idiosyncratic production risk and incomplete markets. Each agent is an entrepreneur operating her own neoclassical technology with her own capital stock. The general equilibrium is characterized in closed form. Idiosyncratic production shocks introduce a risk premium on private equity and reduce the demand for investment. The steady state is characterized by a lower capital stock due to entrepreneurial risk and a lower interest rate due to precautionary savings as compared to complete markets. The private equity premium is endogenously countercyclical: the anticipation of low savings and high interest rates in the future feed back to high risk premia and low investment in the present. Countercyclicality in risk taking slows down convergence to the steady state and amplifies the magnitude and persistence of the business cycle. These results, which contrast sharply with those obtained in Bewley models, highlight the macroeconomic significance of missing markets in production and investment risk.

Suggested Citation

  • Laurent E. Calvet & George-Marios Angeletos, 2012. "Idiosyncratic Production Risk, Growth and the Business Cycle," Working Papers hal-00674230, HAL.
    • Handle: RePEc:hal:wpaper:hal-00674230
    Note: View the original document on HAL open archive server: https://hal-hec.archives-ouvertes.fr/hal-00674230
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Valerie R. Bencivenga & Bruce D. Smith, 1991. "Financial Intermediation and Endogenous Growth," Review of Economic Studies, Oxford University Press, vol. 58(2), pages 195-209.
    2. Caballero, Ricardo J., 1990. "Consumption puzzles and precautionary savings," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 113-136, January.
    3. Devereux, Michael B & Smith, Gregor W, 1994. "International Risk Sharing and Economic Growth," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(3), pages 535-550, August.
    4. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    5. John Y. Campbell & Martin Lettau & Burton G. Malkiel & Yexiao Xu, 2001. "Have Individual Stocks Become More Volatile? An Empirical Exploration of Idiosyncratic Risk," Journal of Finance, American Finance Association, vol. 56(1), pages 1-43, February.
    6. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    7. Abhijit V. Banerjee & Andrew F. Newman, 1991. "Risk-Bearing and the Theory of Income Distribution," Review of Economic Studies, Oxford University Press, vol. 58(2), pages 211-235.
    8. Cooper,Russell, 1999. "Coordination Games," Cambridge Books, Cambridge University Press, number 9780521578967, December.
    9. José-Víctor Ríos-Rull, 1996. "Life-Cycle Economies and Aggregate Fluctuations," Review of Economic Studies, Oxford University Press, vol. 63(3), pages 465-489.
    10. Greenwood, Jeremy & Jovanovic, Boyan, 1990. "Financial Development, Growth, and the Distribution of Income," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1076-1107, October.
    11. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June.
    12. Philippe Aghion & Abhijit Banerjee & Thomas Piketty, 1999. "Dualism and Macroeconomic Volatility," The Quarterly Journal of Economics, Oxford University Press, vol. 114(4), pages 1359-1397.
    13. Acemoglu, Daron & Zilibotti, Fabrizio, 1997. "Was Prometheus Unbound by Chance? Risk, Diversification, and Growth," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 709-751, August.
    14. Obstfeld, Maurice, 1994. "Risk-Taking, Global Diversification, and Growth," American Economic Review, American Economic Association, vol. 84(5), pages 1310-1329, December.
    15. Tjalling C. Koopmans, 1963. "On the Concept of Optimal Economic Growth," Cowles Foundation Discussion Papers 163, Cowles Foundation for Research in Economics, Yale University.
    16. Philippe Weil, 1992. "Equilibrium Asset Prices with Undiversifiable Labor Income Risk," Post-Print hal-03393436, HAL.
    17. Kiyotaki, Nobuhiro & Moore, John, 1997. "Credit Cycles," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 211-248, April.
    18. Ross Levine, 1997. "Financial Development and Economic Growth: Views and Agenda," Journal of Economic Literature, American Economic Association, vol. 35(2), pages 688-726, June.
    19. Bewley, Truman, 1977. "The permanent income hypothesis: A theoretical formulation," Journal of Economic Theory, Elsevier, vol. 16(2), pages 252-292, December.
    20. Philippe Weil, 1992. "Equilibrium Asset Prices with Undiversifiable Labor Income Risk," Working Papers hal-03399140, HAL.
    21. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, February.
    22. Russell Cooper & Andrew John, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, Oxford University Press, vol. 103(3), pages 441-463.
    23. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    24. Ben Bernanke & Mark Gertler, 1990. "Financial Fragility and Economic Performance," The Quarterly Journal of Economics, Oxford University Press, vol. 105(1), pages 87-114.
    25. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
    26. Mankiw, N. Gregory, 1986. "The equity premium and the concentration of aggregate shocks," Journal of Financial Economics, Elsevier, vol. 17(1), pages 211-219, September.
    27. Banerjee, Abhijit V & Newman, Andrew F, 1993. "Occupational Choice and the Process of Development," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 274-298, April.
    28. Weil, Philippe, 1992. "Equilibrium asset prices with undiversifiable labor income risk," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 769-790.
    29. A. Sandmo, 1970. "The Effect of Uncertainty on Saving Decisions," Review of Economic Studies, Oxford University Press, vol. 37(3), pages 353-360.
    30. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," Review of Economic Studies, Oxford University Press, vol. 32(3), pages 233-240.
    31. William A. Brock & Leonard J. Mirman, 2001. "Optimal Economic Growth And Uncertainty: The Discounted Case," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 1, pages 3-37, Edward Elgar Publishing.
    32. John Bryant, 1983. "A Simple Rational Expectations Keynes-type Model," The Quarterly Journal of Economics, Oxford University Press, vol. 98(3), pages 525-528.
    33. Oded Galor & Joseph Zeira, 1993. "Income Distribution and Macroeconomics," Review of Economic Studies, Oxford University Press, vol. 60(1), pages 35-52.
    34. Charles I. Jones, 1997. "On the Evolution of the World Income Distribution," Journal of Economic Perspectives, American Economic Association, vol. 11(3), pages 19-36, Summer.
    35. Bernanke, Ben & Gertler, Mark, 1989. "Agency Costs, Net Worth, and Business Fluctuations," American Economic Review, American Economic Association, vol. 79(1), pages 14-31, March.
    36. John Heaton & Deborah Lucas, 2000. "Portfolio Choice and Asset Prices: The Importance of Entrepreneurial Risk," Journal of Finance, American Finance Association, vol. 55(3), pages 1163-1198, June.
    37. Mark Huggett, 1995. "The one-sector growth model with idiosyncratic shocks," Discussion Paper / Institute for Empirical Macroeconomics 105, Federal Reserve Bank of Minneapolis.
    38. Angeletos, George-Marios & Calvet, Laurent-Emmanuel, 2005. "Incomplete-market dynamics in a neoclassical production economy," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 407-438, August.
    39. Fernando Alvarez & Urban J. Jermann, 2000. "Efficiency, Equilibrium, and Asset Pricing with Risk of Default," Econometrica, Econometric Society, vol. 68(4), pages 775-798, July.
    40. Hayne E. Leland, 1968. "Saving and Uncertainty: The Precautionary Demand for Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 82(3), pages 465-473.
    41. George-Marios Angeletos, 2005. "Uninsured Idiosyncratic Investment Risk," NBER Working Papers 11180, National Bureau of Economic Research, Inc.
    42. Tom Krebs, 2003. "Human Capital Risk and Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 118(2), pages 709-744.
    43. King, Robert G. & Levine, Ross, 1993. "Finance, entrepreneurship and growth: Theory and evidence," Journal of Monetary Economics, Elsevier, vol. 32(3), pages 513-542, December.
    44. Tobias J. Moskowitz & Annette Vissing-Jørgensen, 2002. "The Returns to Entrepreneurial Investment: A Private Equity Premium Puzzle?," American Economic Review, American Economic Association, vol. 92(4), pages 745-778, September.
    45. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    46. Townsend, Robert M, 1982. "Optimal Multiperiod Contracts and the Gain from Enduring Relationships under Private Information," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1166-1186, December.
    47. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
    48. Scheinkman, Jose A & Weiss, Laurence, 1986. "Borrowing Constraints and Aggregate Economic Activity," Econometrica, Econometric Society, vol. 54(1), pages 23-45, January.
    Full references (including those not matched with items on IDEAS)

    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. George-Marios Angeletos & Laurent E. Calvet, 2001. "Incomplete Markets, Growth, and the Business Cycle," Harvard Institute of Economic Research Working Papers 1910, Harvard - Institute of Economic Research.
    2. Angeletos, George-Marios & Calvet, Laurent-Emmanuel, 2005. "Incomplete-market dynamics in a neoclassical production economy," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 407-438, August.
    3. George-Marios Angeletos, 2005. "Uninsured Idiosyncratic Investment Risk," NBER Working Papers 11180, National Bureau of Economic Research, Inc.
    4. Markus K. Brunnermeier & Thomas M. Eisenbach & Yuliy Sannikov, 2012. "Macroeconomics with Financial Frictions: A Survey," Levine's Working Paper Archive 786969000000000384, David K. Levine.
    5. Felipe S. Iachan & Plamen T. Nenov & Alp Simsek, 2021. "The Choice Channel of Financial Innovation," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(2), pages 333-372, April.
    6. Clemens, Christiane & Heinemann, Maik, 2015. "Endogenous growth and wealth inequality under incomplete markets and idiosyncratic risk," Journal of Macroeconomics, Elsevier, vol. 45(C), pages 300-317.
    7. Athreya, Kartik B., 2014. "Big Ideas in Macroeconomics: A Nontechnical View," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262019736, February.
    8. Carlson Mark A & King Thomas & Lewis Kurt, 2011. "Distress in the Financial Sector and Economic Activity," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 11(1), pages 1-31, June.
    9. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June.
    10. Angeletos, George-Marios & Panousi, Vasia, 2009. "Revisiting the supply side effects of government spending," Journal of Monetary Economics, Elsevier, vol. 56(2), pages 137-153, March.
    11. Bertola, Giuseppe, 2000. "Macroeconomics of distribution and growth," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 9, pages 477-540, Elsevier.
    12. Philippe Aghion & Peter Howitt & David Mayer-Foulkes, 2005. "The Effect of Financial Development on Convergence: Theory and Evidence," The Quarterly Journal of Economics, Oxford University Press, vol. 120(1), pages 173-222.
    13. Krueger, Dirk & Lustig, Hanno, 2010. "When is market incompleteness irrelevant for the price of aggregate risk (and when is it not)?," Journal of Economic Theory, Elsevier, vol. 145(1), pages 1-41, January.
    14. Wulff, Alexander & Heinemann, Maik, 2015. "Idiosyncratic Risk, Borrowing Constraints and Financial Integration - A Discussion of Ambiguous Results," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113165, Verein für Socialpolitik / German Economic Association.
    15. Maik Heinemann & Alexander Wulff, 2015. "Idiosyncratic Risk, Borrowing Constraints and Financial Integration - A Discussion of Ambiguous Results," Working Papers 2015019, Berlin Doctoral Program in Economics and Management Science (BDPEMS).
    16. Rodolfo Cermeño & María Roa García & Claudio González-Vega, 2012. "Financial Development and Volatility of Growth: Time Series Evidence for Mexico and USA," DEGIT Conference Papers c017_035, DEGIT, Dynamics, Economic Growth, and International Trade.
    17. Challe, Edouard & Le Grand, François & Ragot, Xavier, 2013. "Incomplete markets, liquidation risk, and the term structure of interest rates," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2483-2519.
    18. Kjetil Storesletten & Chris Telmer & Amir Yaron, 2007. "Asset Pricing with Idiosyncratic Risk and Overlapping Generations," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(4), pages 519-548, October.
    19. Denizer Cevdet A. & Iyigun Murat F. & Owen Ann, 2002. "Finance and Macroeconomic Volatility," The B.E. Journal of Macroeconomics, De Gruyter, vol. 2(1), pages 1-32, October.
    20. Challe, Edouard & Le Grand, François & Ragot, Xavier, 2013. "Incomplete markets, liquidation risk, and the term structure of interest rates," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2483-2519.

    More about this item

    Keywords

    Idiosyncratic; Production; Risk; Growth; Business Cycle;
    All these keywords.

    JEL classification:

    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D9 - Microeconomics - - Micro-Based Behavioral Economics

    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:hal:wpaper:hal-00674230. 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: . General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.