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A method for solving general equilibrium models with incomplete markets and many financial assets

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  • Evans, Martin D.D.
  • Hnatkovska, Viktoria

Abstract

This paper presents a numerical method for solving stochastic general equilibrium models with dynamic portfolio choice. The method can be applied to models with heterogeneous agents, time-varying investment opportunity sets, and incomplete asset markets. We illustrate the method using a two-country model with production. We check the accuracy of our method by comparing the numerical solution to a complete markets version of the model against its known analytic properties. We then apply the method to an incomplete markets version where no analytic solution is available. In all versions the standard accuracy tests confirm the effectiveness of our method.

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  • Evans, Martin D.D. & Hnatkovska, Viktoria, 2012. "A method for solving general equilibrium models with incomplete markets and many financial assets," Journal of Economic Dynamics and Control, Elsevier, vol. 36(12), pages 1909-1930.
    • Handle: RePEc:eee:dyncon:v:36:y:2012:i:12:p:1909-1930
    DOI: 10.1016/j.jedc.2012.05.010
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    Cited by:

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    2. James Staveley-O'Carroll & Olena M. Staveley-O'Carroll, 2016. "Impact of Pension System Structure on International Financial Capital Allocation," Working Papers 1601, College of the Holy Cross, Department of Economics.
    3. Bacchetta, Philippe & Tièche, Simon & van Wincoop, Eric, 2020. "International Portfolio Choice with Frictions: Evidence from Mutual Funds," CEPR Discussion Papers 14898, C.E.P.R. Discussion Papers.
    4. Gourinchas, Pierre-Olivier & Rey, Hélène, 2014. "External Adjustment, Global Imbalances, Valuation Effects," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 585-645, Elsevier.
    5. Oliver de Groot, 2014. "The Risk Channel of Monetary Policy," International Journal of Central Banking, International Journal of Central Banking, vol. 10(2), pages 115-160, June.
    6. Bacchetta, Philippe & Davenport, Margaret & van Wincoop, Eric, 2022. "Can sticky portfolios explain international capital flows and asset prices?," Journal of International Economics, Elsevier, vol. 136(C).
    7. Kieran Walsh, 2014. "Portfolio Choice and Partial Default in Emerging Markets: a quantitative analysis," 2014 Meeting Papers 789, Society for Economic Dynamics.
    8. Rabitsch, Katrin & Stepanchuk, Serhiy & Tsyrennikov, Viktor, 2015. "International portfolios: A comparison of solution methods," Journal of International Economics, Elsevier, vol. 97(2), pages 404-422.
    9. Cao, Dan & Evans, Martin & Lua, Wenlan, 2020. "Real Exchange Rate Dynamics Beyond Business Cycles," MPRA Paper 99054, University Library of Munich, Germany, revised 10 Mar 2020.
    10. Adams, Jonathan J. & Barrett, Philip, 2021. "Why are countries’ asset portfolios exposed to nominal exchange rates?," Journal of International Money and Finance, Elsevier, vol. 110(C).
    11. Bruno Bonizzi, 2013. "Capital Flows to Emerging Markets: An alternative Theoretical Framework," Working Papers 186, Department of Economics, SOAS University of London, UK.
    12. Staveley-O’Carroll, James & Staveley-O’Carroll, Olena M., 2017. "Impact of pension system structure on international financial capital allocation," European Economic Review, Elsevier, vol. 95(C), pages 1-22.
    13. Zhang, Ning, 2019. "Country portfolios under global imbalances," European Economic Review, Elsevier, vol. 119(C), pages 302-317.
    14. Stepanchuk, Serhiy & Tsyrennikov, Viktor, 2015. "Portfolio and welfare consequences of debt market dominance," Journal of Monetary Economics, Elsevier, vol. 74(C), pages 89-101.
    15. Evans, Martin D.D. & Hnatkovska, Viktoria V., 2014. "International capital flows, returns and world financial integration," Journal of International Economics, Elsevier, vol. 92(1), pages 14-33.
    16. Bengui, Julien & Nguyen, Ha, 2016. "Consumption baskets and currency choice in international borrowing," Journal of International Money and Finance, Elsevier, vol. 67(C), pages 287-304.
    17. Rey, Hélène & Gourinchas, Pierre-Olivier, 2013. "External Adjustment, Global Imbalances and Valuation Effects," CEPR Discussion Papers 9566, C.E.P.R. Discussion Papers.
    18. Rabitsch, Katrin & Stepanchuk, Serhiy, 2014. "A two-period model with portfolio choice: Understanding results from different solution methods," Economics Letters, Elsevier, vol. 124(2), pages 239-242.
    19. Marcin Kolasa, 2022. "Equilibrium foreign currency mortgages," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 45, pages 168-186, July.
    20. Grzegorz R. Dlugoszek, 2016. "Solving DSGE Portfolio Choice Models with Asymmetric Countries," SFB 649 Discussion Papers SFB649DP2016-009, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    21. Tille, Cédric & van Wincoop, Eric, 2014. "Solving DSGE portfolio choice models with dispersed private information," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 1-24.
    22. Aquino, Juan Carlos, 2018. "The Valuation Channel of External Adjustment in Small Open Economies," Working Papers 2018-011, Banco Central de Reserva del Perú.
    23. Sergio Salas, 2020. "Precautionary Money Demand in a Cash-in-Advance Model," Working Papers 2020-03, Escuela de Negocios y Economía, Pontificia Universidad Católica de Valparaíso.
    24. Jonathan J Adams & Philip Barrett, 2017. "Resolving International Macro Puzzles with Imperfect Risk Sharing and Global Solution Methods," Working Papers 001003, University of Florida, Department of Economics.

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    More about this item

    Keywords

    Portfolio choice; Incomplete markets; Dynamic stochastic general equilibrium models;
    All these keywords.

    JEL classification:

    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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