IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v36y2012i12p1909-1930.html
   My bibliography  Save this article

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

Author

Listed:
  • 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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165188912001340
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jedc.2012.05.010?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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. 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, December.
    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, December.
    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. 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.
    20. 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.
    21. Brennan, Michael J. & Schwartz, Eduardo S. & Lagnado, Ronald, 1997. "Strategic asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1377-1403, June.
    22. 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.
    23. Obstfeld, Maurice & Rogoff, Kenneth, 1995. "Exchange Rate Dynamics Redux," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 624-660, June.
    24. 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.
    25. 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.
    26. Devereux, Michael B. & Sutherland, Alan, 2010. "Country portfolio dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 34(7), pages 1325-1342, July.
    27. Maurico Obstfeld, 2004. "External adjustment," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 140(4), pages 541-568, December.
    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. 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.
    30. 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.
    31. 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.
    32. 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.
    33. 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.
    34. 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.
    35. 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.
    36. 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.
    37. 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.
    38. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    39. 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.
    40. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
    41. Uppal, Raman, 1993. "A General Equilibrium Model of International Portfolio Choice," Journal of Finance, American Finance Association, vol. 48(2), pages 529-553, June.
    42. Kollmann, Robert, 2006. "International Portfolio Equilibrium and the Current Account," CEPR Discussion Papers 5512, C.E.P.R. Discussion Papers.
    43. 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)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bergin, Paul R. & Pyun, Ju Hyun, 2016. "International portfolio diversification and multilateral effects of correlations," Journal of International Money and Finance, Elsevier, vol. 62(C), pages 52-71.
    2. 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.
    3. Philippe Bacchetta & Simon Tièche & Eric van & Ralph Koijen, 2023. "International Portfolio Choice with Frictions: Evidence from Mutual Funds," The Review of Financial Studies, Society for Financial Studies, vol. 36(10), pages 4233-4270.
    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. Dlugoszek, Grzegorz R., 2016. "Solving DSGE portfolio choice models with asymmetric countries," SFB 649 Discussion Papers 2016-009, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    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. 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.
    21. Aquino, Juan Carlos, 2018. "The Valuation Channel of External Adjustment in Small Open Economies," Working Papers 2018-011, Banco Central de Reserva del Perú.
    22. 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.
    23. 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.

    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. 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.
    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. 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.
    6. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g81p7j6b6 is not listed on IDEAS
    7. repec:spo:wpmain:info:hdl:2441/c8dmi8nm4pdjkuc9g81p7j6b6 is not listed on IDEAS
    8. 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.
    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. Tille, Cédric & van Wincoop, Eric, 2010. "International capital flows," Journal of International Economics, Elsevier, vol. 80(2), pages 157-175, March.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. Mukherjee, Rahul, 2015. "Institutions, Corporate Governance and Capital Flows," Journal of International Economics, Elsevier, vol. 96(2), pages 338-359.
    16. 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.
    17. Nicolas Coeurdacier, 2011. "Limited participation and International Risk-Sharing," 2011 Meeting Papers 613, Society for Economic Dynamics.
    18. Bodenstein, Martin, 2011. "Closing large open economy models," Journal of International Economics, Elsevier, vol. 84(2), pages 160-177, July.
    19. Nicolas Coeurdacier & Hélène Rey, 2010. "Home bias in open economy financial macroeconomics," SciencePo Working papers hal-01069440, HAL.
    20. Stijn Claessens & M Ayhan Kose, 2018. "Frontiers of macrofinancial linkages," BIS Papers, Bank for International Settlements, number 95.
    21. repec:hal:wpspec:info:hdl:2441/c8dmi8nm4pdjkuc9g81p7j6b6 is not listed on IDEAS
    22. repec:spo:wpecon:info:hdl:2441/c8dmi8nm4pdjkuc9g81p7j6b6 is not listed on IDEAS
    23. Sutherland, Alan & Devereux, Michael B, 2006. "Solving for Country Portfolios in Open Economy Macro Models," CEPR Discussion Papers 5966, C.E.P.R. Discussion Papers.
    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.

    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

    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:eee:dyncon:v:36:y:2012:i:12:p:1909-1930. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

    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.