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Solving General Equilibrium Models with Incomplete Markets and Many Assets

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  • Martin D. D. Evans
  • Viktoria Hnatkovska

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 a one-- and two-sector 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.

Suggested Citation

  • Martin D. D. Evans & Viktoria Hnatkovska, 2005. "Solving General Equilibrium Models with Incomplete Markets and Many Assets," NBER Technical Working Papers 0318, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberte:0318 Note: TWP
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    1. Obstfeld, Maurice & Rogoff, Kenneth, 1995. "Exchange Rate Dynamics Redux," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 624-660, June.
    2. 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.
    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, pages 155-188.
    4. Giancarlo Corsetti & Luca Dedola & Sylvain Leduc, 2008. "International Risk Sharing and the Transmission of Productivity Shocks," Review of Economic Studies, Oxford University Press, pages 443-473.
    5. Michael W. Brandt & Pedro Santa-Clara, 2006. "Dynamic Portfolio Selection by Augmentingthe Asset Space," Journal of Finance, American Finance Association, vol. 61(5), pages 2187-2217, October.
    6. Jean-Pierre DANTHINE & John B. DONALDSON, 1994. "Asset Pricing Implications of Real Market Frictions," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 9504, Université de Lausanne, Faculté des HEC, DEEP.
    7. 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.
    8. Campbell, John Y. & Chan, Yeung Lewis & Viceira, Luis M., 2003. "A multivariate model of strategic asset allocation," Journal of Financial Economics, Elsevier, vol. 67(1), pages 41-80, January.
    9. Schmitt-Grohe, Stephanie & Uribe, Martin, 2003. "Closing small open economy models," Journal of International Economics, Elsevier, pages 163-185.
    10. 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, pages 155-188.
    11. Robert Kollmann, 2006. "A Dynamic Equilibrium Model of International Portfolio Holdings: Comment," Econometrica, Econometric Society, vol. 74(1), pages 269-273, January.
    12. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    13. Evans, Martin D.D. & Hnatkovska, Viktoria V., 2014. "International capital flows, returns and world financial integration," Journal of International Economics, Elsevier, pages 14-33.
    14. 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," Review of Financial Studies, Society for Financial Studies, pages 831-873.
    15. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, January.
    16. 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.
    17. Baxter, Marianne & Jermann, Urban J. & King, Robert G., 1998. "Nontraded goods, nontraded factors, and international non-diversification," Journal of International Economics, Elsevier, pages 211-229.
    18. Maurice Obstfeld & Kenneth S. Rogoff, 1996. "Foundations of International Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262150476, January.
    19. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    20. 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.
    21. Paul A. Samuelson, 2011. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," World Scientific Book Chapters,in: THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 31, pages 465-472 World Scientific Publishing Co. Pte. Ltd..
    22. Hnatkovska, Viktoria, 2010. "Home bias and high turnover: Dynamic portfolio choice with incomplete markets," Journal of International Economics, Elsevier, pages 113-128.
    23. 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.
    24. Anne Epaulard & Aude Pommeret, 2016. "Financial Integration, Growth and Volatility," Pacific Economic Review, Wiley Blackwell, vol. 21(3), pages 330-357, August.
    25. Samuelson, Paul A, 1969. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," The Review of Economics and Statistics, MIT Press, pages 239-246.
    26. Kollmann, Robert, 1996. "Incomplete asset markets and the cross-country consumption correlation puzzle," Journal of Economic Dynamics and Control, Elsevier, pages 945-961.
    27. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942.
    28. John Y. Campbell, Robert J. Shiller, 1988. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," Review of Financial Studies, Society for Financial Studies, pages 195-228.
    29. Denis, Cecile & Huizinga, Harry, 2004. "Are Foreign Ownership and Good Institutions Substitutes? The Case of Non-Traded Equity," CEPR Discussion Papers 4339, C.E.P.R. Discussion Papers.
    30. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, pages 247-257.
    31. Kim, Tong Suk & Omberg, Edward, 1996. "Dynamic Nonmyopic Portfolio Behavior," Review of Financial Studies, Society for Financial Studies, pages 141-161.
    32. 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.
    33. Boileau, Martin & Normandin, Michel, 2008. "Closing international real business cycle models with restricted financial markets," Journal of International Money and Finance, Elsevier, pages 733-756.
    34. 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.
    35. Michaelides, Alexander, 2003. "International portfolio choice, liquidity constraints and the home equity bias puzzle," Journal of Economic Dynamics and Control, Elsevier, pages 555-594.
    36. 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.
    37. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    38. 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.
    39. Uppal, Raman, 1993. " A General Equilibrium Model of International Portfolio Choice," Journal of Finance, American Finance Association, vol. 48(2), pages 529-553, June.
    40. Kollmann, Robert, 2006. "International Portfolio Equilibrium and the Current Account," CEPR Discussion Papers 5512, C.E.P.R. Discussion Papers.
    41. Paul Pichler, 2005. "Evaluating Approximate Equilibria of Dynamic Economic Models," Vienna Economics Papers 0510, University of Vienna, Department of Economics.
    42. 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

    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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