IDEAS home Printed from https://ideas.repec.org/p/eth/wpswif/14-204.html
   My bibliography  Save this paper

Social Security in an Analytically Tractable Overlapping Generations Model with Aggregate and Idiosyncratic Risk

Author

Abstract

When markets are incomplete, social security can partially insure against idiosyncratic and aggregate risks. We incorporate both risks into an analytically tractable model with two overlapping generations and demonstrate that they interact over the life-cycle. The interactions appear even though the two risks are orthogonal and they amplify the welfare consequences of introducing social security. On the one hand, the interactions increase the welfare benefits from insurance. On the other hand, they can in- or decrease the welfare costs from crowding out of capital formation. This ambiguous effect on crowding out means that the net effect of these two channels is positive, hence the interactions of risks increase the total welfare benefits of social security.

Suggested Citation

  • Daniel Harenberg & Alexander Ludwig, 2014. "Social Security in an Analytically Tractable Overlapping Generations Model with Aggregate and Idiosyncratic Risk," CER-ETH Economics working paper series 14/204, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    • Handle: RePEc:eth:wpswif:14-204
    as

    Download full text from publisher

    File URL: http://www.cer.ethz.ch/content/dam/ethz/special-interest/mtec/cer-eth/cer-eth-dam/documents/working-papers/WP-16-204.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Alexander Ludwig & Edgar Vogel, 2010. "Mortality, fertility, education and capital accumulation in a simple OLG economy," Journal of Population Economics, Springer;European Society for Population Economics, vol. 23(2), pages 703-735, March.
    2. Constantinides, George M & Duffie, Darrell, 1996. "Asset Pricing with Heterogeneous Consumers," Journal of Political Economy, University of Chicago Press, vol. 104(2), pages 219-240, April.
    3. tom krebs, 2004. "welfare cost of business cycles when markets are incomplete," Econometric Society 2004 North American Summer Meetings 283, Econometric Society.
    4. 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.
    5. 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.
    6. 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.
    7. Alexander Ludwig & Michael Reiter, 2010. "Sharing Demographic Risk--Who Is Afraid of the Baby Bust?," American Economic Journal: Economic Policy, American Economic Association, vol. 2(4), pages 83-118, November.
    8. Matsen, Egil & Thogersen, Oystein, 2004. "Designing social security - a portfolio choice approach," European Economic Review, Elsevier, vol. 48(4), pages 883-904, August.
    9. Cass, David, 1972. "On capital overaccumulation in the aggregative, neoclassical model of economic growth: A complete characterization," Journal of Economic Theory, Elsevier, vol. 4(2), pages 200-223, April.
    10. Jasmina Hasanhodzic & Laurence J. Kotlikoff, 2013. "Generational Risk - Is It a Big Deal?: Simulating an 80-Period OLG Model with Aggregate Shocks," NBER Working Papers 19179, National Bureau of Economic Research, Inc.
    11. Tom Krebs, 2007. "Job Displacement Risk and the Cost of Business Cycles," American Economic Review, American Economic Association, vol. 97(3), pages 664-686, June.
    12. 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.
    13. Henning Bohn, 2001. "Social Security and Demographic Uncertainty: The Risk-Sharing Properties of Alternative Policies," NBER Chapters, in: Risk Aspects of Investment-Based Social Security Reform, pages 203-246, National Bureau of Economic Research, Inc.
    14. Günter Franke & Harris Schlesinger & Richard C. Stapleton, 2006. "Multiplicative Background Risk," Management Science, INFORMS, vol. 52(1), pages 146-153, January.
    15. Mankiw, N. Gregory, 1986. "The equity premium and the concentration of aggregate shocks," Journal of Financial Economics, Elsevier, vol. 17(1), pages 211-219, September.
    16. Franke, Guenter & Schlesinger, Harris & Stapleton, Richard C., 2011. "Risk taking with additive and multiplicative background risks," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1547-1568, July.
    17. Frank Caliendo & Nick Guo & Roozbeh Hosseini, 2014. "Social Security is NOT a Substitute for Annuity Markets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(4), pages 739-755, October.
    18. Huffman, Gregory W, 1987. "A Dynamic Equilibrium Model of Asset Prices and Transaction Volume," Journal of Political Economy, University of Chicago Press, vol. 95(1), pages 138-159, February.
    19. 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.
    20. Gordon, Roger H. & Varian, Hal R., 1988. "Intergenerational risk sharing," Journal of Public Economics, Elsevier, vol. 37(2), pages 185-202, November.
    21. Fatih Guvenen & Serdar Ozkan & Jae Song, 2014. "The Nature of Countercyclical Income Risk," Journal of Political Economy, University of Chicago Press, vol. 122(3), pages 621-660.
    22. Auerbach, Alan J. & Hassett, Kevin, 2007. "Optimal long-run fiscal policy: Constraints, preferences and the resolution of uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 31(5), pages 1451-1472, May.
    23. Imrohoroglu, Ayse & Imrohoroglu, Selahattin & Joines, Douglas H, 1998. "The Effect of Tax-Favored Retirement Accounts on Capital Accumulation," American Economic Review, American Economic Association, vol. 88(4), pages 749-768, September.
    24. Bohn, Henning, 2009. "Intergenerational risk sharing and fiscal policy," Journal of Monetary Economics, Elsevier, vol. 56(6), pages 805-816, September.
    25. Roozbeh Hosseini & Lei (Nick) Guo & Frank Caliendo, 2013. "Social Security is NOT a Substitute for Annuities," 2013 Meeting Papers 680, Society for Economic Dynamics.
    26. Massimiliano De Santis, 2007. "Individual Consumption Risk and the Welfare Cost of Business Cycles," American Economic Review, American Economic Association, vol. 97(4), pages 1488-1506, September.
    27. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    28. Kjetil Storesletten & Chris I. Telmer & Amir Yaron, 2004. "Cyclical Dynamics in Idiosyncratic Labor Market Risk," Journal of Political Economy, University of Chicago Press, vol. 112(3), pages 695-717, June.
    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. Olovsson, Conny, 2010. "Quantifying the risk-sharing welfare gains of social security," Journal of Monetary Economics, Elsevier, vol. 57(3), pages 364-375, April.
    31. Diamond, P. A., 1977. "A framework for social security analysis," Journal of Public Economics, Elsevier, vol. 8(3), pages 275-298, December.
    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. repec:mea:meawpa:14280 is not listed on IDEAS
    34. 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.
    35. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-1123, September.
    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. 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.
    2. 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.
    3. Krueger, Dirk & Ludwig, Alexander, 2018. "Optimal Taxes on Capital in the OLG Model with Uninsurable Idiosyncratic Income Risk," MEA discussion paper series 201802, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
    4. Oliwia Komada & Krzysztof Makarski & Joanna Tyrowicz, 2017. "Welfare effects of fiscal policy in reforming the pension system," GRAPE Working Papers 11, GRAPE Group for Research in Applied Economics.
    5. Bommier, Antoine & Harenberg, Daniel & Le Grand, François, 2017. "Household Finance and the Value of Life," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168189, Verein für Socialpolitik / German Economic Association.
    6. Anna Batyra & David de la Croix & Olivier Pierrard & Henri Sneessens, 2016. "Structural changes in the labor market and the rise of early retirement in Europe," DEM Discussion Paper Series 16-13, Department of Economics at the University of Luxembourg.
    7. James Staveley-O'Carroll & Olena Staveley-O'Carroll, 2019. "International Welfare Spillovers of National Pension Schemes," Working Papers 1903, College of the Holy Cross, 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. 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.
    2. 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.
    3. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2009. "Quantitative Macroeconomics with Heterogeneous Households," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 319-354, May.
    4. Hoffmann, Eran B. & Malacrino, Davide, 2019. "Employment time and the cyclicality of earnings growth," Journal of Public Economics, Elsevier, vol. 169(C), pages 160-171.
    5. Beetsma, R. & Romp, W., 2016. "Intergenerational Risk Sharing," 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 311-380, Elsevier.
    6. Alisdair McKay & Tamas Papp, 2011. "Accounting for Idiosyncratic Wage Risk Over the Business Cycle," Boston University - Department of Economics - Working Papers Series WP2011-028, Boston University - Department of Economics.
    7. 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.
    8. Mehlkopf, R.J., 2011. "Risk sharing with the unborn," Other publications TiSEM fe8a8df6-455f-4624-af10-9, Tilburg University, School of Economics and Management.
    9. D'Amato, Marcello & Galasso, Vincenzo, 2010. "Political intergenerational risk sharing," Journal of Public Economics, Elsevier, vol. 94(9-10), pages 628-637, October.
    10. Romp, Ward & Beetsma, Roel, 2020. "Sustainability of pension systems with voluntary participation," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 125-140.
    11. Konstantinos Angelopoulos & Spyridon Lazarakis & James Malley, 2017. "Asymmetries in earnings, employment and wage risk in Great Britain," Working Papers 2017_02, Business School - Economics, University of Glasgow.
    12. McKay, Alisdair, 2017. "Time-varying idiosyncratic risk and aggregate consumption dynamics," Journal of Monetary Economics, Elsevier, vol. 88(C), pages 1-14.
    13. Spyridon Lazarakis & James Malley & Konstantinos Angelopoulos, 2017. "Asymmetries in Earnings, Employment and Wage Risk in Great Britain," 2017 Meeting Papers 1314, Society for Economic Dynamics.
    14. Konstantinos Angelopoulos & Spyridon Lazarakis & Jim Malley, 2019. "Cyclical income risk in Great Britain," CESifo Working Paper Series 7594, CESifo.
    15. Geppert, Christian & Ludwig, Alexander & Abiry, Raphael, 1970. "Secular Stagnation? Growth, Asset Returns and Welfare in the Next Decades: First Results," MEA discussion paper series 201605, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
    16. Konstantinos Angelopoulos & Spyridon Lazarakis & James Malley, 2019. "Cyclical income risk in Great Britain," Working Papers 2019-03, Business School - Economics, University of Glasgow.
    17. Ennio Bilancini & Massimo D'Antoni, 2008. "Pensions and Intergenerational Risk-Sharing When Relative Consumption Matters," Department of Economics University of Siena 541, Department of Economics, University of Siena.
    18. 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.
    19. De Menil, Georges & Murtin, Fabrice & Sheshinski, Eytan & Yokossi, Tite, 2016. "A rational, economic model of paygo tax rates," European Economic Review, Elsevier, vol. 89(C), pages 55-72.
    20. Alexander Ludwig & Michael Reiter, 2010. "Sharing Demographic Risk--Who Is Afraid of the Baby Bust?," American Economic Journal: Economic Policy, American Economic Association, vol. 2(4), pages 83-118, November.

    More about this item

    Keywords

    social security; idiosyncratic risk; aggregate risk; welfare; insurance; crowding out;
    All these keywords.

    JEL classification:

    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • E27 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Forecasting and Simulation: Models and Applications
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions

    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:eth:wpswif:14-204. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/iwethch.html .

    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: (email available below). General contact details of provider: https://edirc.repec.org/data/iwethch.html .

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.