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Incomplete-market dynamics in a neoclassical production economy

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  • Angeletos, George-Marios
  • Calvet, Laurent-Emmanuel

Abstract

We investigate a neoclassical economy with heterogeneous agents, convex technologies and idiosyncratic production risk. Combined with precautionary savings, investment risk generates rich effects that do not arise in the presence of pure endowment risk. Under a finite horizon, multiple growth paths and endogenous fluctuations can exist even when agents are very patient. In infinite-horizon economies, multiple steady states may arise from the endogeneity of risktaking and interest rates instead of the usual wealth effects. Depending on the economy's parameters, the local dynamics around a steady state are locally unique, totally unstable or locally undetermined, and the equilibrium path can be attracted to a limit cycle. The model generates closed-form expressions for the equilibrium dynamics and easily extends to a variety of environments, including heterogeneous capital types and multiple sectors.
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  • 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.
  • Handle: RePEc:eee:mateco:v:41:y:2005:i:4-5:p:407-438
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    Cited by:

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    2. Angeletos, George-Marios & Calvet, Laurent-Emmanuel, 2006. "Idiosyncratic production risk, growth and the business cycle," Journal of Monetary Economics, Elsevier, vol. 53(6), pages 1095-1115, September.
    3. Getachew, Yoseph Yilma, 2016. "Credit constraints, growth and inequality dynamics," Economic Modelling, Elsevier, vol. 54(C), pages 364-376.
    4. Calvet, Laurent-Emmanuel & Grandmont, Jean-Michel & Lemaire, Isabelle, 2018. "Aggregation of heterogenous beliefs, asset pricing, and risk sharing in complete financial markets," Research in Economics, Elsevier, vol. 72(1), pages 117-146.
    5. Shenghao Zhu & Alberto Bisin & Jess Benhabib, 2014. "The Wealth Distribution in Bewley Models with Investment Risk," 2014 Meeting Papers 617, Society for Economic Dynamics.
    6. Giacomo Candian & Mikhail Dmitriev, 2020. "Risk Aversion, Uninsurable Idiosyncratic Risk, and the Financial Accelerator," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 37, pages 299-322, July.
    7. Alexis Derviz, 2020. "Sovereign Capital, External Balance, and the Investment-Based Balassa-Samuelson Effect in a Global Dynamic Equilibrium," Working Papers 2020/4, Czech National Bank.
    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. Djumashev, R, 2007. "Corruption, uncertainty and growth," MPRA Paper 3716, University Library of Munich, Germany.
    10. Getachew, Yoseph Y. & Turnovsky, Stephen J., 2015. "Productive government spending and its consequences for the growth–inequality tradeoff," Research in Economics, Elsevier, vol. 69(4), pages 621-640.
    11. Parantap Basu & Yoseph Getachew, 2020. "Redistributive innovation policy, inequality, and efficiency," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(3), pages 532-554, June.
    12. Benhabib, Jess & Bisin, Alberto & Zhu, Shenghao, 2015. "The wealth distribution in Bewley economies with capital income risk," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 489-515.
    13. 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.
    14. George-Marios Angeletos, 2005. "Uninsured Idiosyncratic Investment Risk," NBER Working Papers 11180, National Bureau of Economic Research, Inc.
    15. Jess Benhabib & Alberto Bisin, 2018. "Skewed Wealth Distributions: Theory and Empirics," Journal of Economic Literature, American Economic Association, vol. 56(4), pages 1261-1291, December.
    16. Fabia Gumbau-Brisa, 2005. "Heterogeneous beliefs and inflation dynamics: a general equilibrium approach," Working Papers 05-16, Federal Reserve Bank of Boston.
    17. 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.
    18. Dzhumashev, Ratbek, 2008. "Corruption and Disposable Risk," MPRA Paper 11772, University Library of Munich, Germany.
    19. Eva Carceles-Poveda, 2009. "Asset Prices and Business Cycles under Market Incompleteness," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(3), pages 405-422, July.
    20. Toda, Alexis Akira, 2017. "Huggett economies with multiple stationary equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 84(C), pages 77-90.
    21. Nasreen Nawaz, 2021. "Efficiency on the dynamic adjustment path in a financial market," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 45(1), pages 49-74, January.

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    More about this item

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing
    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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