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Intertemporal equilibrium with heterogeneous agents, endogenous dividends and collateral constraints

Author

Listed:
  • Stefano Bosi

    (EPEE - Centre d'Etudes des Politiques Economiques - UEVE - Université d'Évry-Val-d'Essonne)

  • Cuong Le Van

    (IPAG Business School, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Ngoc-Sang Pham

    (Groupe Sup de Co Montpellier (GSCM) - Montpellier Business School)

Abstract

We build a dynamic general equilibrium model with heterogeneous producers and financial frictions (collateral constraints and incompleteness). First, we provide a characterization to check whether a sequence is an equilibrium or not. Second, we study the effects of financial imperfections on output and land prices. Third, we develop a theory of valuation of land by introducing the notion of endogenous land dividends (or yields) and different concepts of land-price bubbles. Some examples of bubbles are provided in economies with and without short-sales.

Suggested Citation

  • Stefano Bosi & Cuong Le Van & Ngoc-Sang Pham, 2018. "Intertemporal equilibrium with heterogeneous agents, endogenous dividends and collateral constraints," PSE-Ecole d'économie de Paris (Postprint) halshs-03260777, HAL.
  • Handle: RePEc:hal:pseptp:halshs-03260777
    DOI: 10.1016/j.jmateco.2018.01.006
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    References listed on IDEAS

    as
    1. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
    2. YiLi Chien & Hanno Lustig, 2010. "The Market Price of Aggregate Risk and the Wealth Distribution," The Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1596-1650, April.
    3. Bosi, Stefano & Ha-Huy, Thai & Le Van, Cuong & Pham, Cao-Tung & Pham, Ngoc-Sang, 2018. "Financial bubbles and capital accumulation in altruistic economies," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 125-139.
    4. Alberto Martin & Jaume Ventura, 2012. "Economic Growth with Bubbles," American Economic Review, American Economic Association, vol. 102(6), pages 3033-3058, October.
    5. Kocherlakota, Narayana R., 1992. "Bubbles and constraints on debt accumulation," Journal of Economic Theory, Elsevier, vol. 57(1), pages 245-256.
    6. Stefano Bosi & Cuong Le Van & Ngoc-Sang Pham, 2014. "Intertemporal equilibrium with production: bubbles and efficiency," Documents de travail du Centre d'Economie de la Sorbonne 14043, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    7. Bosi, Stefano & Van, Cuong Le & Pham, Ngoc-Sang, 2018. "Intertemporal equilibrium with heterogeneous agents, endogenous dividends and collateral constraints," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 1-20.
    8. Vincenzo Quadrini, 2011. "Financial frictions in macroeconomic fluctations," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 97(3Q), pages 209-254.
    9. Magill, Michael & Quinzii, Martine, 1996. "Incomplete markets over an infinite horizon: Long-lived securities and speculative bubbles," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 133-170.
    10. Levine, David K. & Zame, William R., 1996. "Debt constraints and equilibrium in infinite horizon economies with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 103-131.
    11. Luigi Montrucchio, 2004. "Cass transversality condition and sequential asset bubbles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 645-663, October.
    12. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-1181, September.
    13. Robert Becker & Stefano Bosi & Cuong Van & Thomas Seegmuller, 2015. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 329-353, February.
    14. Tomohiro Hirano & Noriyuki Yanagawa, 2017. "Asset Bubbles, Endogenous Growth, and Financial Frictions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(1), pages 406-443.
    15. repec:fip:fedreq:y:2011:i:3q:p:209-254:n:vol.97no.3 is not listed on IDEAS
    16. 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.
    17. Weil, Philippe, 1990. "On the Possibility of Price Decreasing Bubbles," Econometrica, Econometric Society, vol. 58(6), pages 1467-1474, November.
    18. Emmanuel Farhi & Jean Tirole, 2012. "Bubbly Liquidity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(2), pages 678-706.
    19. Bosi, Stefano & Le Van, Cuong & Pham, Ngoc-Sang, 2017. "Asset bubbles and efficiency in a generalized two-sector model," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 37-48.
    20. Cuong Le Van & Ngoc-Sang Pham, 2016. "Intertemporal equilibrium with financial asset and physical capital," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 155-199, June.
    21. repec:hal:spmain:info:hdl:2441/8701 is not listed on IDEAS
    22. Magill, Michael & Quinzii, Martine, 1994. "Infinite Horizon Incomplete Markets," Econometrica, Econometric Society, vol. 62(4), pages 853-880, July.
    23. Zheng Liu & Pengfei Wang & Tao Zha, 2013. "Land‐Price Dynamics and Macroeconomic Fluctuations," Econometrica, Econometric Society, vol. 81(3), pages 1147-1184, May.
    24. Kiyotaki, Nobuhiro & Moore, John, 1997. "Credit Cycles," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 211-248, April.
    25. Kocherlakota, Narayana, 2008. "Injecting rational bubbles," Journal of Economic Theory, Elsevier, vol. 142(1), pages 218-232, September.
    26. repec:hal:pseose:hal-01302382 is not listed on IDEAS
    27. Araujo, Aloisio & Páscoa, Mário R. & Torres-Martínez, Juan Pablo, 2011. "Long-lived collateralized assets and bubbles," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 260-271.
    28. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    29. Brunnermeier, Markus K. & Oehmke, Martin, 2013. "Bubbles, Financial Crises, and Systemic Risk," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1221-1288, Elsevier.
    30. Jianjun Miao & Pengfei Wang, 2012. "Bubbles and Total Factor Productivity," American Economic Review, American Economic Association, vol. 102(3), pages 82-87, May.
    31. Piero Gottardi & Felix Kubler, 2015. "Dynamic Competitive Economies with Complete Markets and Collateral Constraints," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(3), pages 1119-1153.
    32. Araujo, Aloisio & Novinski, Rodrigo & Páscoa, Mário R., 2011. "General equilibrium, wariness and efficient bubbles," Journal of Economic Theory, Elsevier, vol. 146(3), pages 785-811, May.
    33. repec:hal:pseptp:hal-01302535 is not listed on IDEAS
    34. Takashi Kamihigashi, 2002. "A simple proof of the necessity of the transversality condition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 427-433.
    35. Becker, Robert A. & Mitra, Tapan, 2012. "Efficient Ramsey Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S1), pages 18-32, April.
    36. repec:oup:restud:v:84:y::i:1:p:406-443. is not listed on IDEAS
    37. Mário Páscoa & Myrian Petrassi & Juan Torres-Martínez, 2011. "Fiat money and the value of binding portfolio constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(2), pages 189-209, February.
    38. repec:hal:journl:hal-01302535 is not listed on IDEAS
    39. Felix Kubler & Karl Schmedders, 2003. "Stationary Equilibria in Asset-Pricing Models with Incomplete Markets and Collateral," Econometrica, Econometric Society, vol. 71(6), pages 1767-1793, November.
    40. Kevin X.D. Huang & Jan Werner, 2000. "Asset price bubbles in Arrow-Debreu and sequential equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(2), pages 253-278.
    41. Aloisio Araujo & Mário Rui Páscoa & Juan Pablo Torres-Martínez, 2002. "Collateral Avoids Ponzi Schemes in Incomplete Markets," Econometrica, Econometric Society, vol. 70(4), pages 1613-1638, July.
    42. repec:pri:metric:wp047_2012_brunnermeier_ssrn-id2103814.pdf is not listed on IDEAS
    43. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
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    Citations

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    Cited by:

    1. Pham, Ngoc-Sang, 2018. "Credit limits and heterogeneity in general equilibrium models with a finite number of agents," MPRA Paper 88736, University Library of Munich, Germany.
    2. Cuong Le Van & Ngoc-Sang Pham, 2021. "Equilibrium with non-convex preferences: some examples," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03177843, HAL.
    3. Bosi, Stefano & Ha-Huy, Thai & Le Van, Cuong & Pham, Cao-Tung & Pham, Ngoc-Sang, 2018. "Financial bubbles and capital accumulation in altruistic economies," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 125-139.
    4. Bosi, Stefano & Van, Cuong Le & Pham, Ngoc-Sang, 2018. "Intertemporal equilibrium with heterogeneous agents, endogenous dividends and collateral constraints," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 1-20.
    5. Pham, Ngoc-Sang, 2023. "Some Lectures on Macroeconomics," MPRA Paper 119643, University Library of Munich, Germany.
    6. Bosi, Stefano & Le Van, Cuong & Pham, Ngoc-Sang, 2017. "Asset bubbles and efficiency in a generalized two-sector model," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 37-48.
    7. repec:hal:wpaper:halshs-02993656 is not listed on IDEAS
    8. Stefano Bosi & Thai Ha‐Huy & Cao‐Tung Pham & Ngoc‐Sang Pham, 2022. "Ascendant altruism and asset price bubbles," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(4), pages 532-551, December.
    9. Stefano Bosi & Thai Ha-Huy & Ngoc-Sang Pham, 2019. "Rational bubbles in altruistic economies: when Tirole meets Ramsey," Economics Bulletin, AccessEcon, vol. 39(2), pages 816-829.
    10. Stefano Bosi & Cuong Le Van & Ngoc-Sang Pham, 2017. "Rational Land and Housing Bubbles in Infinite-Horizon Economies," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 203-230, Springer.
    11. Ngoc‐Sang Pham & Hien Pham, 2021. "Effects of credit limit on efficiency and welfare in a simple general equilibrium model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 17(4), pages 446-470, December.
    12. Pham, Ngoc-Sang, 2024. "The relationship between general equilibrium models with infinite-lived agents and overlapping generations models, and some applications," MPRA Paper 122659, University Library of Munich, Germany.
    13. Bosi, Stefano & Le Van, Cuong & Pham, Ngoc-Sang, 2022. "Real indeterminacy and dynamics of asset price bubbles in general equilibrium," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    14. Ngoc-Sang Pham, 2022. "Impacts of (individual and aggregate) productivity and credit shocks on equilibrium aggregate production," Working Papers halshs-03686284, HAL.
    15. Pham, Ngoc-Sang, 2017. "Assets with possibly negative dividends," MPRA Paper 78193, University Library of Munich, Germany.

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    More about this item

    Keywords

    Infinite-horizon; General equilibrium; Collateral constraint; Incomplete markets; Asset valuation; Rational bubbles;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • D9 - Microeconomics - - Micro-Based Behavioral Economics
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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