IDEAS home Printed from https://ideas.repec.org/p/red/sed014/627.html
   My bibliography  Save this paper

Generational Risk--Is it a Big Deal?: Simulating an 80-Period OLG Model With Aggregate Shocks

Author

Listed:
  • Laurence Kotlikoff

    (Boston University)

  • Jasmina Hasanhodzic

    (Boston University)

Abstract

We calibrate and simulate 80, 40, and 20-period OLG models with aggregate shocks to assess generational risk. We overcome the curse of dimensionality by building on the Judd, Maliar, and Maliar algorithm, which limits a model's solution to its ergodic states, with no reliance on sparse grids, state-variable aggregation, or local approximations. We find that intrinsic generational risk is quite small, that government policies can produce generational risk, and that bond markets can share generational risk, including risks generated by policy. Our results hold with rare disasters, high risk aversion, persistent shocks, and stochastic depreciation.

Suggested Citation

  • Laurence Kotlikoff & Jasmina Hasanhodzic, 2014. "Generational Risk--Is it a Big Deal?: Simulating an 80-Period OLG Model With Aggregate Shocks," 2014 Meeting Papers 627, Society for Economic Dynamics.
  • Handle: RePEc:red:sed014:627
    as

    Download full text from publisher

    File URL: https://red-files-public.s3.amazonaws.com/meetpapers/2014/paper_627.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kjetil Storesletten & Chris Telmer & Amir Yaron, 2007. "Asset Pricing with Idiosyncratic Risk and Overlapping Generations," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(4), pages 519-548, October.
    2. Dueker Michael & Fischer Andreas & Dittmar Robert, 2007. "Stochastic Capital Depreciation and the Co-movement of Hours and Productivity," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(3), pages 1-24, January.
    3. Krusell, Per & Smith, Anthony A., 1997. "Income And Wealth Heterogeneity, Portfolio Choice, And Equilibrium Asset Returns," Macroeconomic Dynamics, Cambridge University Press, vol. 1(2), pages 387-422, June.
    4. Antonio Rangel & Richard Zeckhauser, 2001. "Can Market and Voting Institutions Generate Optimal Intergenerational Risk Sharing?," NBER Chapters, in: Risk Aspects of Investment-Based Social Security Reform, pages 113-152, National Bureau of Economic Research, Inc.
    5. George M. Constantinides & John B. Donaldson & Rajnish Mehra, 2002. "Junior Can't Borrow: A New Perspective on the Equity Premium Puzzle," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 269-296.
    6. Kenneth L. Judd & Lilia Maliar & Serguei Maliar, 2011. "Numerically stable and accurate stochastic simulation approaches for solving dynamic economic models," Quantitative Economics, Econometric Society, vol. 2(2), pages 173-210, July.
    7. Laurence Ball & N. Gregory Mankiw, 2007. "Intergenerational Risk Sharing in the Spirit of Arrow, Debreu, and Rawls, with Applications to Social Security Design," Journal of Political Economy, University of Chicago Press, vol. 115(4), pages 523-547, August.
    8. 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.
    9. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
    10. Steve Ambler & Alain Paquet, 1992. "Stochastic Depreciation and the Business Cycle Puzzle," Cahiers de recherche CREFE / CREFE Working Papers 8, CREFE, Université du Québec à Montréal.
    11. Rietz, Thomas A., 1988. "The equity risk premium a solution," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 117-131, July.
    12. Kenneth Judd & Lilia Maliar & Serguei Maliar, 2009. "Numerically Stable Stochastic Simulation Approaches for Solving Dynamic Economic Models," NBER Working Papers 15296, National Bureau of Economic Research, Inc.
    13. Dirk Krueger & Felix Kubler, 2006. "Pareto-Improving Social Security Reform when Financial Markets are Incomplete!?," American Economic Review, American Economic Association, vol. 96(3), pages 737-755, June.
    14. Furlanetto, Francesco & Seneca, Martin, 2014. "New Perspectives On Depreciation Shocks As A Source Of Business Cycle Fluctuations," Macroeconomic Dynamics, Cambridge University Press, vol. 18(6), pages 1209-1233, September.
    15. Robert J. Barro, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(3), pages 823-866.
    16. Malin, Benjamin A. & Krueger, Dirk & Kubler, Felix, 2011. "Solving the multi-country real business cycle model using a Smolyak-collocation method," Journal of Economic Dynamics and Control, Elsevier, vol. 35(2), pages 229-239, February.
    17. Andrew B. Abel & Laurence J. Kotlikoff, 1988. "Does the Consumption of Different Age Groups Move Together? A New Nonparametric Test of Intergenerational Altruism," NBER Working Papers 2490, National Bureau of Economic Research, Inc.
    18. Martin L. Weitzman, 2007. "Subjective Expectations and Asset-Return Puzzles," American Economic Review, American Economic Association, vol. 97(4), pages 1102-1130, September.
    19. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    20. Robert C. Merton, 1983. "On the Role of Social Security as a Means for Efficient Risk Sharing in an Economy Where Human Capital Is Not Tradable," NBER Chapters, in: Financial Aspects of the United States Pension System, pages 325-358, National Bureau of Economic Research, Inc.
    Full references (including those not matched with items on IDEAS)

    Citations

    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Generational Risk–Is It a Big Deal?: Simulating an 80-Period OLG Model with Aggregate Shocks
      by Christian Zimmermann in NEP-DGE blog on 2013-05-30 20:12:48

    Citations

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


    Cited by:

    1. Chase Coleman & Spencer Lyon & Lilia Maliar & Serguei Maliar, 2021. "Matlab, Python, Julia: What to Choose in Economics?," Computational Economics, Springer;Society for Computational Economics, vol. 58(4), pages 1263-1288, December.
    2. Arellano, Cristina & Maliar, Lilia & Maliar, Serguei & Tsyrennikov, Viktor, 2016. "Envelope condition method with an application to default risk models," Journal of Economic Dynamics and Control, Elsevier, vol. 69(C), pages 436-459.
    3. Seth G. Benzell & Eugene Goryunov & Maria Kazakova & Laurence J. Kotlikoff & Guillermo LaGarda & Kristina Nesterova & Andrey Zubarev, 2015. "Simulating Russia’s and Other Large Economies’ Challenging and Interconnected Transitions," NBER Working Papers 21269, National Bureau of Economic Research, Inc.
    4. Auerbach, Alan & Kueng, Lorenz & Lee, Ronald & Yatsynovich, Yury, 2018. "Propagation and smoothing of shocks in alternative social security systems," Journal of Public Economics, Elsevier, vol. 164(C), pages 91-105.
    5. Lilia Maliar & Serguei Maliar & John B. Taylor & Inna Tsener, 2020. "A tractable framework for analyzing a class of nonstationary Markov models," Quantitative Economics, Econometric Society, vol. 11(4), pages 1289-1323, November.
    6. Daniel Harenberg & Alexander Ludwig, 2015. "Social security in an analytically tractable overlapping generations model with aggregate and idiosyncratic risks," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 22(4), pages 579-603, August.
    7. Laurence J. Kotlikoff, 2016. "Pension System Solvency – From Linguistics to Economics," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 152(II), pages 83-102, June.
    8. Serguei Maliar & John Taylor & Lilia Maliar, 2016. "The Impact of Alternative Transitions to Normalized Monetary Policy," 2016 Meeting Papers 794, Society for Economic Dynamics.
    9. Daniel Harenberg & Alexander Ludwig, 2019. "Idiosyncratic Risk, Aggregate Risk, And The Welfare Effects Of Social Security," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(2), pages 661-692, May.
    10. Nick Draper & André Nibbelink & Johannes Uhde, 2015. "An Assessment of Alternatives for the Dutch First Pension Pillar System," De Economist, Springer, vol. 163(3), pages 281-302, September.
    11. Laurence J. Kotlikoff, 2016. "Pension System Solvency — From Linguistics to Economics," Swiss Journal of Economics and Statistics, Springer;Swiss Society of Economics and Statistics, vol. 152(2), pages 83-102, April.
    12. Daniel Harenberg & Alexander Ludwig, "undated". "Social Security and the Interactions Between Aggregate and Idiosyncratic Risk," Working Papers ETH-RC-14-002, ETH Zurich, Chair of Systems Design.
    13. Michael Reiter, 2015. "Solving OLG Models with Asset Choice," 2015 Meeting Papers 1509, Society for Economic Dynamics.
    14. Laurence Kotlikoff, 2013. "The US Fiscal Cliff – When Economists Recklessly Endanger the Economy," CESifo Forum, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, vol. 14(2), pages 03-08, August.
    15. Marlon Azinovic & Luca Gaegauf & Simon Scheidegger, 2022. "Deep Equilibrium Nets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(4), pages 1471-1525, November.
    16. Jasmina Hasanhodzic & Laurence J. Kotlikoff, 2017. "Valuing Government Obligations When Markets are Incomplete," NBER Working Papers 24092, National Bureau of Economic Research, Inc.
    17. Laurence Kotlikoff, 2013. "The US Fiscal Cliff – When Economists Recklessly Endanger the Economy," CESifo Forum, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, vol. 14(02), pages 03-08, August.
    18. Nick Draper & André Nibbelink & Johannes Uhde, 2013. "An Assessment of Alternatives for the Dutch First Pension Pillar, The Design of Pension Schemes," CPB Discussion Paper 259.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    19. Stephie Fried & Kevin Novan & William Peterman, 2019. "The Macro Effects of Anticipating Climate Policy," 2019 Meeting Papers 683, Society for Economic Dynamics.
    20. Aditya Aladangady & Etienne Gagnon & Benjamin K. Johannsen & William B. Peterman, 2021. "Macroeconomic Implications of Inequality and Income Risk," Finance and Economics Discussion Series 2021-073, Board of Governors of the Federal Reserve System (U.S.).
    21. Nick Draper & André Nibbelink & Johannes Uhde, 2013. "An Assessment of Alternatives for the Dutch First Pension Pillar, The Design of Pension Schemes," CPB Discussion Paper 259, CPB Netherlands Bureau for Economic Policy Analysis.
    22. Reiter, Michael, 2015. "Solving OLG Models with Many Cohorts, Asset Choice and Large Shocks," Economics Series 320, Institute for Advanced Studies.
    23. Seth G. Benzell & Eugene Goryunov & Maria Kazakova & Guillermo Lagarda & Kristina Nesterova & Laurence J. Kotlikoff, "undated". "Simulating Russia’s and Other Large Economies’ Challenging and Interconnected Transitions," Boston University - Department of Economics - The Institute for Economic Development Working Papers Series dp-274, Boston University - Department of Economics.
    24. Jasmina Hasanhodzic & Laurence J. Kotlikoff, 2019. "Valuing Government Obligations When Markets Are Incomplete," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(7), pages 1815-1855, October.

    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. Daniel Harenberg & Alexander Ludwig, "undated". "Social Security and the Interactions Between Aggregate and Idiosyncratic Risk," Working Papers ETH-RC-14-002, ETH Zurich, Chair of Systems Design.
    2. Andrew Glover & Jonathan Heathcote & Dirk Krueger & José-Víctor Ríos-Rull, 2020. "Intergenerational Redistribution in the Great Recession," Journal of Political Economy, University of Chicago Press, vol. 128(10), pages 3730-3778.
    3. Mehlkopf, R.J., 2011. "Risk sharing with the unborn," Other publications TiSEM fe8a8df6-455f-4624-af10-9, Tilburg University, School of Economics and Management.
    4. Daniel Harenberg & Alexander Ludwig, 2019. "Idiosyncratic Risk, Aggregate Risk, And The Welfare Effects Of Social Security," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(2), pages 661-692, May.
    5. Jesús Fernández‐Villaverde & Oren Levintal, 2018. "Solution methods for models with rare disasters," Quantitative Economics, Econometric Society, vol. 9(2), pages 903-944, July.
    6. Krueger, D. & Mitman, K. & Perri, F., 2016. "Macroeconomics and Household Heterogeneity," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 843-921, Elsevier.
    7. repec:hum:wpaper:sfb649dp2006-066 is not listed on IDEAS
    8. Francisco Gomes & Alexander Michaelides, 2008. "Asset Pricing with Limited Risk Sharing and Heterogeneous Agents," The Review of Financial Studies, Society for Financial Studies, vol. 21(1), pages 415-448, January.
    9. Jasmina Hasanhodzic & Laurence J. Kotlikoff, 2017. "Valuing Government Obligations When Markets are Incomplete," NBER Working Papers 24092, National Bureau of Economic Research, Inc.
    10. Lans Bovenberg & Harald Uhlig, 2008. "Pension Systems and the Allocation of Macroeconomic Risk," NBER Chapters, in: NBER International Seminar on Macroeconomics 2006, pages 241-344, National Bureau of Economic Research, Inc.
    11. Judd, Kenneth L. & Maliar, Lilia & Maliar, Serguei & Valero, Rafael, 2014. "Smolyak method for solving dynamic economic models: Lagrange interpolation, anisotropic grid and adaptive domain," Journal of Economic Dynamics and Control, Elsevier, vol. 44(C), pages 92-123.
    12. Fernandez, Pablo & Aguirreamalloa, Javier & Liechtenstein, Heinrich, 2009. "The equity premium puzzle: High required equity premium, undervaluation and self fulfilling prophecy," IESE Research Papers D/821, IESE Business School.
    13. Dirk Krueger, 2006. "Public Insurance against Idiosyncratic and Aggregate Risk: The Case of Social Security and Progressive Income Taxation," CESifo Economic Studies, CESifo Group, vol. 52(4), pages 587-620, December.
    14. Kjetil Storesletten & Chris Telmer & Amir Yaron, 2007. "Asset Pricing with Idiosyncratic Risk and Overlapping Generations," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(4), pages 519-548, October.
    15. Christensen, Peter Ove & Larsen, Kasper & Munk, Claus, 2012. "Equilibrium in securities markets with heterogeneous investors and unspanned income risk," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1035-1063.
    16. Daniel Harenberg & Alexander Ludwig, 2015. "Social security in an analytically tractable overlapping generations model with aggregate and idiosyncratic risks," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 22(4), pages 579-603, August.
    17. Hans Fehr, 2009. "Computable Stochastic Equilibrium Models and Their Use in Pension- and Ageing Research," De Economist, Springer, vol. 157(4), pages 359-416, December.
    18. Marcel Lever & Ilja Boelaars & Ryanne Cox & Roel Mehlkopf, 2015. "The allocation of financial risks during the life cycle in individual and collective DC pension contracts," CPB Discussion Paper 317, CPB Netherlands Bureau for Economic Policy Analysis.
    19. Andreas Fagereng & Charles Gottlieb & Luigi Guiso, 2017. "Asset Market Participation and Portfolio Choice over the Life-Cycle," Journal of Finance, American Finance Association, vol. 72(2), pages 705-750, April.
    20. D'Amato, Marcello & Galasso, Vincenzo, 2010. "Political intergenerational risk sharing," Journal of Public Economics, Elsevier, vol. 94(9-10), pages 628-637, October.
    21. Bai, Hang & Hou, Kewei & Kung, Howard & Li, Erica X.N. & Zhang, Lu, 2019. "The CAPM strikes back? An equilibrium model with disasters," Journal of Financial Economics, Elsevier, vol. 131(2), pages 269-298.

    More about this item

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions
    • H31 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - Household
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models

    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:red:sed014:627. 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: Christian Zimmermann (email available below). General contact details of provider: https://edirc.repec.org/data/sedddea.html .

    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.