IDEAS home Printed from https://ideas.repec.org/p/mea/meawpa/05093.html
   My bibliography  Save this paper

Moment estimation in Auerbach-Kotlikoff models: How well do they match the data?

Author

Listed:
  • Alexander Ludwig

    (Munich Center for the Economics of Aging (MEA))

Abstract

Despite their widespread use for the analysis of economic questions, a formal and systematic calibration methodology has not yet been developed for Auerbach-Kotlikoff (Auerbach and Kotlikoff 1987) overlapping generations (AK-OLG) models. Calibration as estimation in macroeconomics involves choosing free parameters by matching moments of simulated models with those of the data. This paper maps this approach into the framework of AK-OLG models. The paper further evaluates the back-fitting properties of three different versions of a prototype AK-OLG model along a number of dimensions of mostly US data for the time period 1960-2003.

Suggested Citation

  • Alexander Ludwig, 2005. "Moment estimation in Auerbach-Kotlikoff models: How well do they match the data?," MEA discussion paper series 05093, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
    • Handle: RePEc:mea:meawpa:05093
    as

    Download full text from publisher

    File URL: http://mea.mpisoc.mpg.de/uploads/user_mea_discussionpapers/rg6gt6jvhspclbxg_Calibr_01_03_05_mea-1.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. Kjetil Storesletten, 2000. "Sustaining Fiscal Policy through Immigration," Journal of Political Economy, University of Chicago Press, vol. 108(2), pages 300-323, April.
    3. Hansen, Lars Peter & Hodrick, Robert J, 1980. "Forward Exchange Rates as Optimal Predictors of Future Spot Rates: An Econometric Analysis," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 829-853, October.
    4. Equipe INGENUE, 2001. "Macroeconomic consequences of pension reforms in Europe: an investigation with the INGENUE world model," CEPREMAP Working Papers (Couverture Orange) 0116, CEPREMAP.
    5. Whitney K. Newey & Kenneth D. West, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(4), pages 631-653.
    6. Lars Peter Hansen & James J. Heckman, 1996. "The Empirical Foundations of Calibration," Journal of Economic Perspectives, American Economic Association, vol. 10(1), pages 87-104, Winter.
    7. Canova, Fabio, 1998. "Detrending and business cycle facts," Journal of Monetary Economics, Elsevier, vol. 41(3), pages 475-512, May.
    8. Axel Börsch‐Supan & Alexander Ludwig & Joachim Winter, 2006. "Ageing, Pension Reform and Capital Flows: A Multi‐Country Simulation Model," Economica, London School of Economics and Political Science, vol. 73(292), pages 625-658, November.
    9. Eichenbaum, Martin & Hansen, Lars Peter, 1990. "Estimating Models with Intertemporal Substitution Using Aggregate Time Series Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 53-69, January.
    10. Fabio Canova & Eva Ortega, 1996. "Testing calibrated general equilibrium models," Economics Working Papers 166, Department of Economics and Business, Universitat Pompeu Fabra.
    11. Hodrick, Robert J & Prescott, Edward C, 1997. "Postwar U.S. Business Cycles: An Empirical Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(1), pages 1-16, February.
    12. Krueger, Dirk & Kubler, Felix, 2004. "Computing equilibrium in OLG models with stochastic production," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1411-1436, April.
    13. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    14. Laurence J. Kotlikoff, 1998. "The A-K Model: It's Past, Present, and Future," NBER Working Papers 6684, National Bureau of Economic Research, Inc.
    15. Gregory, Allan W. & Smith, Gregor W., 1987. "Calibration as Estimation," Queen's Institute for Economic Research Discussion Papers 275210, Queen's University - Department of Economics.
    16. Christiano, Lawrence J & Eichenbaum, Martin, 1992. "Current Real-Business-Cycle Theories and Aggregate Labor-Market Fluctuations," American Economic Review, American Economic Association, vol. 82(3), pages 430-450, June.
    17. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    18. Martin S. Eichenbaum & Lars Peter Hansen & Kenneth J. Singleton, 1988. "A Time Series Analysis of Representative Agent Models of Consumption and Leisure Choice Under Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(1), pages 51-78.
    19. Equipe INGENUE, 2001. "Macroeconomic consequences of pension reforms in Europe: an investigation with the INGENUE world model," CEPREMAP Working Papers (Couverture Orange) 0116, CEPREMAP.
    20. Dawkins, Christina & Srinivasan, T.N. & Whalley, John, 2001. "Calibration," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 58, pages 3653-3703, Elsevier.
    21. Hans Fehr & Sabine Jokisch & Laurence J. Kotlikoff, 2004. "The Role of Immigration in Dealing with the Developed World's Demographic Transition," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 60(3), pages 296-324, September.
    22. Palacios,Robert J. & Pallares-Miralles,Montserrat, 2000. "International patterns of pension provision," Policy Research Working Paper Series 98252, The World Bank.
    23. Gregory, Allan W & Smith, Gregor W, 1991. "Calibration as Testing: Inference in Simulated Macroeconomic Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(3), pages 297-303, July.
    24. Hurd, Michael D, 1989. "Mortality Risk and Bequests," Econometrica, Econometric Society, vol. 57(4), pages 779-813, July.
    25. Palacios,Robert J. & Pallares-Miralles,Montserrat, 2000. "International patterns of pension provision," Social Protection and Labor Policy and Technical Notes 98252, The World Bank.
    26. King, Robert G. & Rebelo, Sergio T., 1993. "Low frequency filtering and real business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 17(1-2), pages 207-231.
    27. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    28. Ludwig, Alexander, 2004. "Improving Tatonnement Methods for Solving Heterogeneous Agent Models," Sonderforschungsbereich 504 Publications 04-29, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    29. Imrohoroglu, Ayse & Imrohoroglu, Selahattin & Joines, Douglas H, 1995. "A Life Cycle Analysis of Social Security," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(1), pages 83-114, June.
    30. Albert Marcet, 1991. "Simulation analysis of dynamic stochastic models: Applications to theory and estimation," Economics Working Papers 6, Department of Economics and Business, Universitat Pompeu Fabra.
    31. Axel Börsch‐Supan & Alexander Ludwig & Joachim Winter, 2006. "Ageing, Pension Reform and Capital Flows: A Multi‐Country Simulation Model," Economica, London School of Economics and Political Science, vol. 73(292), pages 625-658, November.
    32. Juan C. Conesa & Dirk Krueger, 1999. "Social Security Reform with Heterogeneous Agents," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(4), pages 757-795, October.
    33. Ludwig, Alexander, 2004. "Improving Tatonnement Methods for Solving Heterogeneous Agent Models," Sonderforschungsbereich 504 Publications 04-29, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    34. Börsch-Supan, Axel & Ludwig, Alexander & Winter, Joachim, 2004. "Aging, Pension Reform, and Capital Flows:," Sonderforschungsbereich 504 Publications 04-65, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    35. Axel Börsch-Supan & Alexander Ludwig & Joachim Winter, 2006. "Ageing, Pension Reform and Capital Flows: A Multi-Country Simulation Model," Economica, London School of Economics and Political Science, vol. 73(292), pages 625-658, November.
    36. Razin, Assaf & Sadka, Efraim, 1999. "Migration and pension with international capital mobility," Journal of Public Economics, Elsevier, vol. 74(1), pages 141-150, October.
    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. Krueger, Dirk & Ludwig, Alexander, 2007. "On the consequences of demographic change for rates of returns to capital, and the distribution of wealth and welfare," Journal of Monetary Economics, Elsevier, vol. 54(1), pages 49-87, January.
    2. Alexander Ludwig & Dirk Krüger & Axel Börsch-Supan, 2009. "Demographic Change, Relative Factor Prices, International Capital Flows, and Their Differential Effects on the Welfare of Generations," NBER Chapters, in: Social Security Policy in a Changing Environment, pages 385-414, National Bureau of Economic Research, Inc.
    3. Jess Heinrich, 2006. "Steuerfinanzierung von Sozialleistungen? / Tax Funding of Social Security Benefits?: Verteilungs- und Effizienzeffekte einer Umfinanzierung von Sozialleistungen in der gesetzlichen Renten- und Kranken," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 226(4), pages 436-462, August.
    4. Alexander Ludwig, 2005. "Aging and Economic Growth: The Role of Factor Markets and of Fundamental Pension Reforms," MEA discussion paper series 05094, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.

    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. Axel Börsch‐Supan & Alexander Ludwig & Joachim Winter, 2006. "Ageing, Pension Reform and Capital Flows: A Multi‐Country Simulation Model," Economica, London School of Economics and Political Science, vol. 73(292), pages 625-658, November.
    2. Alexander Ludwig, 2005. "Aging and Economic Growth: The Role of Factor Markets and of Fundamental Pension Reforms," MEA discussion paper series 05094, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
    3. Axel Börsch‐Supan & Alexander Ludwig & Joachim Winter, 2006. "Ageing, Pension Reform and Capital Flows: A Multi‐Country Simulation Model," Economica, London School of Economics and Political Science, vol. 73(292), pages 625-658, November.
    4. Axel Börsch-Supan & Alexander Ludwig & Joachim Winter, 2006. "Ageing, Pension Reform and Capital Flows: A Multi-Country Simulation Model," Economica, London School of Economics and Political Science, vol. 73(292), pages 625-658, November.
    5. Axel Börsch-Supan & Alexander Ludwig, 2010. "Old Europe Ages: Reforms and Reform Backlashes," NBER Chapters, in: Demography and the Economy, pages 169-204, National Bureau of Economic Research, Inc.
    6. Chistiano, Lawrence J & den Haan, Wouter J, 1996. "Small-Sample Properties of GMM for Business-Cycle Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 309-327, July.
    7. Braun, R. Anton & Evans, Charles L., 1995. "Seasonality and equilibrium business cycle theories," Journal of Economic Dynamics and Control, Elsevier, vol. 19(3), pages 503-531, April.
    8. Geoffrey Hewings & Seryoung Park, 2007. "Aging and the Regional Economy: Simulation Results from the Chicago CGE Model," EcoMod2007 23900037, EcoMod.
    9. Craig Burnside & Martin Eichenbaum, 1994. "Small Sample Properties of Generalized Method of Moments Based Wald Tests," NBER Technical Working Papers 0155, National Bureau of Economic Research, Inc.
    10. Fabio Canova & Eva Ortega, 1996. "Testing calibrated general equilibrium models," Economics Working Papers 166, Department of Economics and Business, Universitat Pompeu Fabra.
    11. Patrick GEORGES & Marcel MERETTE, 2009. "Demographic Changes and the Gains from Globalisation: An Overlapping Generations CGE Analysis," EcoMod2009 21500035, EcoMod.
    12. Attanasio, O. & Bonfatti, A. & Kitao, S. & Weber, G., 2016. "Global Demographic Trends," Handbook of the Economics of Population Aging, in: Piggott, John & Woodland, Alan (ed.), Handbook of the Economics of Population Aging, edition 1, volume 1, chapter 0, pages 179-235, Elsevier.
    13. Braun, R Anton & Evans, Charles L, 1998. "Seasonal Solow Residuals and Christmas: A Case for Labor Hoarding and Increasing Returns," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 30(3), pages 306-330, August.
    14. Kris Jacobs, 2001. "Estimating Nonseparable Preference Specifications for Asset Market Participants," CIRANO Working Papers 2001s-12, CIRANO.
    15. MAO TAKONGMO, Charles Olivier, 2019. "Keynesian Models, Detrending, and the Method of Moments," MPRA Paper 91709, University Library of Munich, Germany.
    16. Börsch-Supan, Axel & Ludwig, Alexander & Sommer, Mathias, 2005. "Aging and asset prices," Papers 07-29, Sonderforschungsbreich 504.
    17. Hirukawa, Masayuki, 2023. "Robust Covariance Matrix Estimation in Time Series: A Review," Econometrics and Statistics, Elsevier, vol. 27(C), pages 36-61.
    18. Eichenbaum, Martin, 1991. "Real business-cycle theory : Wisdom or whimsy?," Journal of Economic Dynamics and Control, Elsevier, vol. 15(4), pages 607-626, October.
    19. Özer Karagedikli & Troy Matheson & Christie Smith & Shaun P. Vahey, 2010. "RBCs AND DSGEs: THE COMPUTATIONAL APPROACH TO BUSINESS CYCLE THEORY AND EVIDENCE," Journal of Economic Surveys, Wiley Blackwell, vol. 24(1), pages 113-136, February.
    20. Smith, Gregor W. & Zin, Stanley E., 1997. "Real business-cycle realizations," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 47(1), pages 243-280, December.

    More about this item

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical

    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:mea:meawpa:05093. 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: Henning Frankenberger (email available below). General contact details of provider: http://www.mea.mpisoc.mpg.de/ .

    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.