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Solving General Equilibrium Models with Incomplete Markets and Many Assets

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Abstract

This paper presents a new numerical method for solving general equilibrium models with many assets. The method can be applied to models where there are heterogeneous agents, time-varying investment opportunity sets, and incomplete markets. It also can be used to study models where the equilibrium dynamics are non-stationary. We illustrate how the method is used by solving two versions of a two-country general equilibrium model with production. We check the accuracy of our method by comparing the numerical solution to the one-sector model against its known analytic properties. We then apply the method to the two-sector model where no analytic solution is available.

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  • Martin D. D. Evans (Georgetown University) and Viktoria Hnatkovska (Georgetown University), 2005. "Solving General Equilibrium Models with Incomplete Markets and Many Assets," Working Papers gueconwpa~05-05-18, Georgetown University, Department of Economics.
  • Handle: RePEc:geo:guwopa:gueconwpa~05-05-18
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    Cited by:

    1. Jonathan Heathcote & Fabrizio Perri, 2013. "The International Diversification Puzzle Is Not as Bad as You Think," Journal of Political Economy, University of Chicago Press, vol. 121(6), pages 1108-1159.
    2. Pang, Ke, 2013. "Financial integration, nominal rigidity, and monetary policy," International Review of Economics & Finance, Elsevier, vol. 25(C), pages 75-90.
    3. Ghironi, Fabio & Lee, Jaewoo & Rebucci, Alessandro, 2015. "The valuation channel of external adjustment," Journal of International Money and Finance, Elsevier, vol. 57(C), pages 86-114.
    4. Tille, Cédric, 2008. "Financial integration and the wealth effect of exchange rate fluctuations," Journal of International Economics, Elsevier, vol. 75(2), pages 283-294, July.
    5. Nicolas Coeurdacier & Hélène Rey, 2013. "Home Bias in Open Economy Financial Macroeconomics," Journal of Economic Literature, American Economic Association, vol. 51(1), pages 63-115, March.
    6. Coeurdacier, Nicolas & Kollmann, Robert & Martin, Philippe, 2010. "International portfolios, capital accumulation and foreign assets dynamics," Journal of International Economics, Elsevier, vol. 80(1), pages 100-112, January.
    7. Mukherjee, Rahul, 2015. "Institutions, Corporate Governance and Capital Flows," Journal of International Economics, Elsevier, vol. 96(2), pages 338-359.
    8. Tille, Cédric & van Wincoop, Eric, 2010. "International capital flows," Journal of International Economics, Elsevier, vol. 80(2), pages 157-175, March.
    9. Hnatkovska, Viktoria, 2010. "Home bias and high turnover: Dynamic portfolio choice with incomplete markets," Journal of International Economics, Elsevier, vol. 80(1), pages 113-128, January.
    10. Enrique Martinez-Garcia, 2008. "Globalization and monetary policy: an introduction," Globalization and Monetary Policy Institute Working Paper 11, Federal Reserve Bank of Dallas.
    11. Durdu, Ceyhun Bora, 2009. "Quantitative implications of indexed bonds in small open economies," Journal of Economic Dynamics and Control, Elsevier, vol. 33(4), pages 883-902, April.
    12. Paul Castillo & Carlos Montoro & Vicente Tuesta, 2005. "Inflation Premium and Oil Price Volatility," Working Papers Central Bank of Chile 350, Central Bank of Chile.
    13. Johanna Krenz, 2016. "Banks balance sheets and the international transmission of shocks," Working Papers 2016003, Berlin Doctoral Program in Economics and Management Science (BDPEMS).
    14. Castillo, Paul & Montoro, Carlos & Tuesta, Vicente., 2010. "Inflation, Oil Price Volatility and Monetary Policy," Working Papers 2010-002, Banco Central de Reserva del Perú.
    15. Trani, Tommaso, 2015. "Asset pledgeability and international transmission of financial shocks," Journal of International Money and Finance, Elsevier, vol. 50(C), pages 49-77.
    16. Ángel Gavilán & Juan A. Rojas, 2009. "Solving Portfolio Problems with the Smolyak-Parameterized Expectations Algorithm," Working Papers 0838, Banco de España;Working Papers Homepage.
    17. Tille, Cédric & van Wincoop, Eric, 2008. "International Capital Flows under Dispersed Information: Theory and Evidence," CEPR Discussion Papers 6989, C.E.P.R. Discussion Papers.
    18. Nguyen, Ha, 2011. "Valuation effects with transitory and trend productivity shocks," Journal of International Economics, Elsevier, vol. 85(2), pages 245-255.
    19. 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.
    20. Anna Pavlova & Roberto Rigobon, 2010. "International Macro-Finance," NBER Working Papers 16630, National Bureau of Economic Research, Inc.
    21. Pavlova, Anna & Rigobon, Roberto, 2010. "An asset-pricing view of external adjustment," Journal of International Economics, Elsevier, vol. 80(1), pages 144-156, January.
    22. Akito Matsumoto & Charles Engel, 2009. "International Risk Sharing; Through Equity Diversification or Exchange Rate Hedging?," IMF Working Papers 09/138, International Monetary Fund.
    23. Viktoria Hnatkovska & Martin Evans, 2005. "International Capital Flows in a World of Greater Financial Integration," Computing in Economics and Finance 2005 419, Society for Computational Economics.
    24. Marques, Luis B, 2007. "Welfare Implications of Exchange Rate Changes," MPRA Paper 5721, University Library of Munich, Germany.

    More about this item

    Keywords

    Portfolio Choice; Perturbation Methods; Incomplete Markets; Asset Prices.;

    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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