IDEAS home Printed from https://ideas.repec.org/p/geo/guwopa/gueconwpa~05-05-18.html
   My bibliography  Save this paper

Solving General Equilibrium Models with Incomplete Markets and Many Assets

Author

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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www8.georgetown.edu/departments/economics/pdf/518.pdf
    File Function: Full text
    Download Restriction: None
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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. 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..
    5. Schmitt-Grohe, Stephanie & Uribe, Martin, 2003. "Closing small open economy models," Journal of International Economics, Elsevier, vol. 61(1), pages 163-185, October.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Maurice Obstfeld & Kenneth S. Rogoff, 1996. "Foundations of International Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262150476, December.
    11. Angel Serrat, 2001. "A Dynamic Equilibrium Model of International Portfolio Holdings," Econometrica, Econometric Society, vol. 69(6), pages 1467-1489, November.
    12. 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.
    13. Anne Epaulard & Aude Pommeret, 2016. "Financial Integration, Growth and Volatility," Pacific Economic Review, Wiley Blackwell, vol. 21(3), pages 330-357, August.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. Devereux, Michael B. & Sutherland, Alan, 2010. "Country portfolio dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 34(7), pages 1325-1342, July.
    19. 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.
    20. 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.
    21. Tille, Cédric & van Wincoop, Eric, 2010. "International capital flows," Journal of International Economics, Elsevier, vol. 80(2), pages 157-175, March.
    22. 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.
    23. 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.
    24. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    25. 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.
    26. 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.
    27. 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.
    28. 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.
    29. 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..
    30. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942.
    31. 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.
    32. 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.
    33. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
    34. 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.
    35. Obstfeld, Maurice & Rogoff, Kenneth, 1995. "Exchange Rate Dynamics Redux," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 624-660, June.
    36. Paolo Pesenti & Eric van Wincoop, 1996. "Do Nontraded Goods Explain the Home Bias Puzzle?," NBER Working Papers 5784, National Bureau of Economic Research, Inc.
    37. 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.
    38. 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.
    39. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    40. 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.
    41. 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.
    42. 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.
    43. 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.
    44. 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.
    45. Robert Kollmann, 2006. "A Dynamic Equilibrium Model of International Portfolio Holdings: Comment," Econometrica, Econometric Society, vol. 74(1), pages 269-273, January.
    46. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    47. 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.
    48. 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.
    49. 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.
    50. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    51. 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.
    52. Uppal, Raman, 1993. "A General Equilibrium Model of International Portfolio Choice," Journal of Finance, American Finance Association, vol. 48(2), pages 529-553, June.
    53. Kollmann, Robert, 2006. "International Portfolio Equilibrium and the Current Account," CEPR Discussion Papers 5512, C.E.P.R. Discussion Papers.
    54. Paul Pichler, 2005. "Evaluating Approximate Equilibria of Dynamic Economic Models," Vienna Economics Papers 0510, University of Vienna, Department of Economics.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g81p7j6b6 is not listed on IDEAS
    6. repec:hal:spmain:info:hdl:2441/1shj1p7td8e0r5c9fcsnk8a91 is not listed on IDEAS
    7. 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.
    8. Bhamra, Harjoat S. & Coeurdacier, Nicolas & Guibaud, Stéphane, 2014. "A dynamic equilibrium model of imperfectly integrated financial markets," Journal of Economic Theory, Elsevier, vol. 154(C), pages 490-542.
    9. 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.
    10. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g7084aa4m is not listed on IDEAS
    11. Nicolas Coeurdacier & Hélène Rey, 2010. "Home bias in open economy financial macroeconomics," SciencePo Working papers Main hal-01069440, HAL.
    12. 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.
    13. Coeurdacier, Nicolas, 2009. "Do trade costs in goods market lead to home bias in equities?," Journal of International Economics, Elsevier, vol. 77(1), pages 86-100, February.
    14. Gianluca Benigno & Hande Küçük, 2012. "Portfolio allocation and international risk sharing," Canadian Journal of Economics, Canadian Economics Association, vol. 45(2), pages 535-565, May.
    15. 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.
    16. Coeurdacier, Nicolas & Gourinchas, Pierre-Olivier, 2016. "When bonds matter: Home bias in goods and assets," Journal of Monetary Economics, Elsevier, vol. 82(C), pages 119-137.
    17. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g821o6lsg is not listed on IDEAS
    18. Tille, Cédric & van Wincoop, Eric, 2010. "International capital flows," Journal of International Economics, Elsevier, vol. 80(2), pages 157-175, March.
    19. Mukherjee, Rahul, 2015. "Institutions, Corporate Governance and Capital Flows," Journal of International Economics, Elsevier, vol. 96(2), pages 338-359.
    20. repec:hal:spmain:info:hdl:2441/5glg8brs7n87c8vqcn2qok0961 is not listed on IDEAS
    21. Stijn Claessens & M Ayhan Kose, 2018. "Frontiers of macrofinancial linkages," BIS Papers, Bank for International Settlements, number 95.
    22. repec:hal:spmain:info:hdl:2441/5djvq5crl99rmab9vc66fecm3h is not listed on IDEAS
    23. Lorenzo Bretscher & Christian Julliard & Carlo Rosa, 2016. "Human Capital and International Portfolio Diversification: A Reappraisal," NBER Chapters, in: NBER International Seminar on Macroeconomics 2015, National Bureau of Economic Research, Inc.
    24. Didier, Tatiana & Lowenkron, Alexandre, 2012. "The current account as a dynamic portfolio choice problem," Journal of the Japanese and International Economies, Elsevier, vol. 26(4), pages 518-541.
    25. 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.
    26. Yao, Wen, 2019. "International business cycles and financial frictions," Journal of International Economics, Elsevier, vol. 118(C), pages 283-291.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:geo:guwopa:gueconwpa~05-05-18. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Marcia Suss (email available below). General contact details of provider: http://econ.georgetown.edu/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.