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Sequential incompleteness and dynamic suboptimality in stochastic OLG economies with production

  • Orrego, Fabrizio

    ()

    (Carnegie Mellon University and Central Bank of Peru.)

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    I study a stochastic overlapping generations model with production and three-period- lived agents. Agents trade bonds and risky capital. Unlike the two-period model, I show that a stationary equilibrium in which prices and allocations depend solely on the aggregate capital stock and the current shock does not exist. The recursive equilibrium becomes the relevant equilibrium concept. For the recursive formulation of the model, markets are sequentially incomplete and hence I show that there is room for Pareto improvements in terms of intergenerational risk sharing. Finally, I examine whether the introduction of capital income taxation improves the allocation of risk.

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    File URL: http://www.bcrp.gob.pe/docs/Publicaciones/Documentos-de-Trabajo/2011/Documento-de-Trabajo-14-2011.pdf
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    Paper provided by Banco Central de Reserva del Perú in its series Working Papers with number 2011-014.

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    Date of creation: Aug 2011
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    Handle: RePEc:rbp:wpaper:2011-014
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    2. Kehoe, Timothy J. & Levine, David K., 1990. "The economics of indeterminacy in overlapping generations models," Journal of Public Economics, Elsevier, vol. 42(2), pages 219-243, July.
    3. Kjetil Storesletten & Chris Telmer & Amir Yaron, . "Asset pricing with idiosyncratic risk and overlapping generations," GSIA Working Papers 226, Carnegie Mellon University, Tepper School of Business.
    4. Spear, Stephen E., 1988. "Existence and local uniqueness of functional rational expectations equilibria in dynamic economic models," Journal of Economic Theory, Elsevier, vol. 44(1), pages 124-155, February.
    5. Conesa, Juan Carlos & Kitao, Sagiri & Krueger, Dirk, 2006. "Taxing capital? Not a bad idea after all!," CFS Working Paper Series 2006/21, Center for Financial Studies (CFS).
    6. Spear, Stephen E. & Srivastava, Sanjay, 1986. "Markov rational expectations equilibria in an overlapping generations model," Journal of Economic Theory, Elsevier, vol. 38(1), pages 35-62, February.
    7. John Geanakoplos & Michael Magill & Martine Quinzii, 2002. "Demography and the Long-run Predictability of the Stock Market," Cowles Foundation Discussion Papers 1380R, Cowles Foundation for Research in Economics, Yale University, revised Jul 2004.
    8. Bloise, Gaetano & Calciano, Filippo L., 2008. "A characterization of inefficiency in stochastic overlapping generations economies," Journal of Economic Theory, Elsevier, vol. 143(1), pages 442-468, November.
    9. Spear, Stephen E., 1985. "Rational expectations in the overlapping generations model," Journal of Economic Theory, Elsevier, vol. 35(2), pages 251-275, August.
    10. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
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    13. Dirk Krueger & Felix Kubler, 2002. "Intergenerational Risk-Sharing via Social Security when Financial Markets Are Incomplete," American Economic Review, American Economic Association, vol. 92(2), pages 407-410, May.
    14. Benveniste, Lawrence M & Cass, David, 1986. "On the Existence of Optimal Stationary Equilibria with a Fixed Supply of Fiat Money: I. The Case of a Single Consumer," Journal of Political Economy, University of Chicago Press, vol. 94(2), pages 402-17, April.
    15. Bohn, Henning, 2009. "Intergenerational risk sharing and fiscal policy," Journal of Monetary Economics, Elsevier, vol. 56(6), pages 805-816, September.
    16. Rios-Rull, Jose-Victor, 1996. "Life-Cycle Economies and Aggregate Fluctuations," Review of Economic Studies, Wiley Blackwell, vol. 63(3), pages 465-89, July.
    17. Rao Aiyagari, S. & Peled, Dan, 1991. "Dominant root characterization of Pareto optimality and the existence of optimal equilibria in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 54(1), pages 69-83, June.
    18. Benassy Jean-pascal & Blad, Michaël C., 1985. "On learning and divergence from rational expectations in an overlapping generations model," CEPREMAP Working Papers (Couverture Orange) 8524, CEPREMAP.
    19. Weiss, Laurence M, 1980. "The Effects of Money Supply on Economic Welfare in the Steady State," Econometrica, Econometric Society, vol. 48(3), pages 565-76, April.
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    21. Rios-Rull, Jose-Victor, 1994. "On the quantitative importance of market completeness," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 463-496, December.
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