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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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    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. 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.
    3. Charles Engel & Akito Matsumoto, 2009. "The International Diversification Puzzle When Goods Prices Are Sticky: It's Really about Exchange-Rate Hedging, Not Equity Portfolios," American Economic Journal: Macroeconomics, American Economic Association, vol. 1(2), pages 155-188, July.
    4. Giancarlo Corsetti & Luca Dedola & Sylvain Leduc, 2008. "International Risk Sharing and the Transmission of Productivity Shocks," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(2), pages 443-473.
    5. John Y. Campbell & Yeung Lewis Chanb & M. Viceira, 2013. "A multivariate model of strategic asset allocation," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part II, chapter 39, pages 809-848, World Scientific Publishing Co. Pte. Ltd..
    6. Christiano, Lawrence J, 2002. "Solving Dynamic Equilibrium Models by a Method of Undetermined Coefficients," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 21-55, October.
    7. Schmitt-Grohe, Stephanie & Uribe, Martin, 2003. "Closing small open economy models," Journal of International Economics, Elsevier, vol. 61(1), pages 163-185, October.
    8. Baxter, Marianne & Crucini, Mario J, 1995. "Business Cycles and the Asset Structure of Foreign Trade," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(4), pages 821-854, November.
    9. 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.
    10. Michael W. Brandt & Amit Goyal & Pedro Santa-Clara & Jonathan R. Stroud, 2005. "A Simulation Approach to Dynamic Portfolio Choice with an Application to Learning About Return Predictability," The Review of Financial Studies, Society for Financial Studies, vol. 18(3), pages 831-873.
    11. Tille, Cédric & van Wincoop, Eric, 2010. "International capital flows," Journal of International Economics, Elsevier, vol. 80(2), pages 157-175, March.
    12. Baxter, Marianne, 1995. "International trade and business cycles," Handbook of International Economics, in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 35, pages 1801-1864, Elsevier.
    13. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, April.
    14. Baxter, Marianne & Jermann, Urban J. & King, Robert G., 1998. "Nontraded goods, nontraded factors, and international non-diversification," Journal of International Economics, Elsevier, vol. 44(2), pages 211-229, April.
    15. Maurice Obstfeld & Kenneth S. Rogoff, 1996. "Foundations of International Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262150476, April.
    16. Angel Serrat, 2001. "A Dynamic Equilibrium Model of International Portfolio Holdings," Econometrica, Econometric Society, vol. 69(6), pages 1467-1489, November.
    17. 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.
    18. Leonid Kogan & Raman Uppal, "undated". "Risk Aversion and Optimal Portfolio Policies in Partial and General Equilibrium Economies," Rodney L. White Center for Financial Research Working Papers 13-00, Wharton School Rodney L. White Center for Financial Research.
    19. Michael Haliassos & Alexander Michaelides, 2003. "Portfolio Choice and Liquidity Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(1), pages 143-177, February.
    20. Anne Epaulard & Aude Pommeret, 2016. "Financial Integration, Growth and Volatility," Pacific Economic Review, Wiley Blackwell, vol. 21(3), pages 330-357, August.
    21. John Y. Campbell, Robert J. Shiller, 1988. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," The Review of Financial Studies, Society for Financial Studies, vol. 1(3), pages 195-228.
    22. Huizinga, Harry & Denis, Cecile, 2004. "Are Foreign Ownership and Good Institutions Substitutes? The Case of Non-Traded Equity," CEPR Discussion Papers 4339, C.E.P.R. Discussion Papers.
    23. Boileau, Martin & Normandin, Michel, 2008. "Closing international real business cycle models with restricted financial markets," Journal of International Money and Finance, Elsevier, vol. 27(5), pages 733-756, September.
    24. Obstfeld, Maurice & Rogoff, Kenneth, 1995. "Exchange Rate Dynamics Redux," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 624-660, June.
    25. Pierre-Olivier Gourinchas, 2006. "The Research Agenda: Pierre-Olivier Gourinchas on Global Imbalances and Financial Factors," EconomicDynamics Newsletter, Review of Economic Dynamics, vol. 7(2), April.
    26. Kollmann, Robert, 1996. "Incomplete asset markets and the cross-country consumption correlation puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 20(5), pages 945-961, May.
    27. Devereux, Michael B. & Sutherland, Alan, 2010. "Country portfolio dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 34(7), pages 1325-1342, July.
    28. Collard, Fabrice & Juillard, Michel, 2001. "Accuracy of stochastic perturbation methods: The case of asset pricing models," Journal of Economic Dynamics and Control, Elsevier, vol. 25(6-7), pages 979-999, June.
    29. Michaelides, Alexander, 2003. "International portfolio choice, liquidity constraints and the home equity bias puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 28(3), pages 555-594, December.
    30. Michael W. Brandt & Pedro Santa‐Clara, 2006. "Dynamic Portfolio Selection by Augmenting the Asset Space," Journal of Finance, American Finance Association, vol. 61(5), pages 2187-2217, October.
    31. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Solving dynamic general equilibrium models using a second-order approximation to the policy function," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 755-775, January.
    32. Aruoba, S. Boragan & Fernandez-Villaverde, Jesus & Rubio-Ramirez, Juan F., 2006. "Comparing solution methods for dynamic equilibrium economies," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2477-2508, December.
    33. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
    34. Jean-Pierre DANTHINE & John B. DONALDSON, 1994. "Asset Pricing Implications of Real Market Frictions," Cahiers de Recherches Economiques du Département d'économie 9504, Université de Lausanne, Faculté des HEC, Département d’économie.
    35. Kang, Jun-Koo & Stulz, Rene M., 1997. "Why is there a home bias? An analysis of foreign portfolio equity ownership in Japan," Journal of Financial Economics, Elsevier, vol. 46(1), pages 3-28, October.
    36. Robert Kollmann, 2006. "A Dynamic Equilibrium Model of International Portfolio Holdings: Comment," Econometrica, Econometric Society, vol. 74(1), pages 269-273, January.
    37. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    38. Correia, Isabel & Neves, Joao C. & Rebelo, Sergio, 1995. "Business cycles in a small open economy," European Economic Review, Elsevier, vol. 39(6), pages 1089-1113, June.
    39. McCallum, Bennett T., 1983. "On non-uniqueness in rational expectations models : An attempt at perspective," Journal of Monetary Economics, Elsevier, vol. 11(2), pages 139-168.
    40. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    41. Judd, Kenneth L. & Guu, Sy-Ming, 1997. "Asymptotic methods for aggregate growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 21(6), pages 1025-1042, June.
    42. Paul A. Samuelson, 2011. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 31, pages 465-472, World Scientific Publishing Co. Pte. Ltd..
    43. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942.
    44. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    45. Kim, Tong Suk & Omberg, Edward, 1996. "Dynamic Nonmyopic Portfolio Behavior," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 141-161.
    46. Pesenti, Paolo & van Wincoop, Eric, 2002. "Can Nontradables Generate Substantial Home Bias?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 34(1), pages 25-50, February.
    47. Michael B. Devereux & Alan Sutherland, 2011. "Country Portfolios In Open Economy Macro‐Models," Journal of the European Economic Association, European Economic Association, vol. 9(2), pages 337-369, April.
    48. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    49. Nicholas Barberis, 2000. "Investing for the Long Run when Returns Are Predictable," Journal of Finance, American Finance Association, vol. 55(1), pages 225-264, February.
    50. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
    51. Uppal, Raman, 1993. "A General Equilibrium Model of International Portfolio Choice," Journal of Finance, American Finance Association, vol. 48(2), pages 529-553, June.
    52. Kollmann, Robert, 2006. "International Portfolio Equilibrium and the Current Account," CEPR Discussion Papers 5512, C.E.P.R. Discussion Papers.
    53. Paul Pichler, 2005. "Evaluating Approximate Equilibria of Dynamic Economic Models," Vienna Economics Papers 0510, University of Vienna, Department of Economics.
    54. Paolo Pesenti & Eric van Wincoop, 1996. "Do Nontraded Goods Explain the Home Bias Puzzle?," NBER Working Papers 5784, National Bureau of Economic Research, Inc.
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    More about this item

    Keywords

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