IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/17594.html
   My bibliography  Save this paper

Zoomers and Boomers: Asset Prices and Intergenerational Inequality

Author

Listed:
  • Farmer, Roger
  • Farmer, Leland

Abstract

We construct a perpetual youth DSGE model with aggregate uncertainty in which there are dynamically complete markets and agents have Epstein-Zin preferences. We prove that, when endowments have a realistic hump-shaped age-profile, our model has three steady-state equilibria. One of these equilibria is dynamically inefficient and displays real price indeterminacy. We estimate the parameters of our model and we find that a fourth-order approximation around the indeterminate steady-state provides the best fit to U.S. data. Our work interprets the large and persistent generational inequality that has been observed in western economies over the past century as the result of uninsurable income shocks to birth cohorts.

Suggested Citation

  • Farmer, Roger & Farmer, Leland, 2022. "Zoomers and Boomers: Asset Prices and Intergenerational Inequality," CEPR Discussion Papers 17594, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:17594
    as

    Download full text from publisher

    File URL: https://cepr.org/publications/DP17594
    Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org
    ---><---

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

    Other versions of this item:

    References listed on IDEAS

    as
    1. Farmer, Roger E.A. & Nourry, Carine & Venditti, Alain, 2011. "Debt, deficits and finite horizons: The stochastic case," Economics Letters, Elsevier, vol. 111(1), pages 47-49, April.
    2. S Borağan Aruoba & Pablo Cuba-Borda & Frank Schorfheide, 2018. "Macroeconomic Dynamics Near the ZLB: A Tale of Two Countries," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 87-118.
    3. Farmer, Roger E.A. & Nicolò, Giovanni, 2018. "Keynesian economics without the Phillips curve," Journal of Economic Dynamics and Control, Elsevier, vol. 89(C), pages 137-150.
    4. Ivo Welch & Amit Goyal, 2008. "A Comprehensive Look at The Empirical Performance of Equity Premium Prediction," The Review of Financial Studies, Society for Financial Studies, vol. 21(4), pages 1455-1508, July.
    5. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    6. Olivier J Blanchard, 2019. "Public Debt: Fiscal and Welfare Costs in a Time of Low Interest Rates," Policy Briefs PB19-2, Peterson Institute for International Economics.
    7. Campbell, John Y. & Nosbusch, Yves, 2007. "Intergenerational risksharing and equilibrium asset prices," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2251-2268, November.
    8. Olivier Blanchard, 2019. "Public Debt and Low Interest Rates," American Economic Review, American Economic Association, vol. 109(4), pages 1197-1229, April.
    9. Francesco Bianchi & Giovanni Nicolò, 2021. "A generalized approach to indeterminacy in linear rational expectations models," Quantitative Economics, Econometric Society, vol. 12(3), pages 843-868, July.
    10. Greg Kaplan & Benjamin Moll & Giovanni L. Violante, 2018. "Monetary Policy According to HANK," American Economic Review, American Economic Association, vol. 108(3), pages 697-743, March.
    11. Ricardo Reis, 2021. "The constraint on public dept when r," BIS Working Papers 939, Bank for International Settlements.
    12. Farmer, Roger E.A. & Khramov, Vadim & Nicolò, Giovanni, 2015. "Solving and estimating indeterminate DSGE models," Journal of Economic Dynamics and Control, Elsevier, vol. 54(C), pages 17-36.
    13. Gârleanu, Nicolae & Panageas, Stavros, 2021. "What to expect when everyone is expecting: Self-fulfilling expectations and asset-pricing puzzles," Journal of Financial Economics, Elsevier, vol. 140(1), pages 54-73.
    14. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    15. Greg Kaplan & Giovanni L. Violante, 2018. "Microeconomic Heterogeneity and Macroeconomic Shocks," Journal of Economic Perspectives, American Economic Association, vol. 32(3), pages 167-194, Summer.
    16. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-453, March.
    17. Nicolae Gârleanu & Stavros Panageas, 2015. "Young, Old, Conservative, and Bold: The Implications of Heterogeneity and Finite Lives for Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 123(3), pages 670-685.
    18. Thomas A. Lubik & Frank Schorfheide, 2004. "Testing for Indeterminacy: An Application to U.S. Monetary Policy," American Economic Review, American Economic Association, vol. 94(1), pages 190-217, March.
    19. Mark Aguiar & Manuel Amador & Cristina Arellano, 2021. "Micro Risks and Pareto Improving Policies with Low Interest Rates," Staff Report 625, Federal Reserve Bank of Minneapolis.
    20. Richard Blundell & Luigi Pistaferri & Itay Saporta-Eksten, 2016. "Consumption Inequality and Family Labor Supply," American Economic Review, American Economic Association, vol. 106(2), pages 387-435, February.
    21. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467-467.
    22. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    23. Ravi Bansal & Amir Yaron, 2004. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," Journal of Finance, American Finance Association, vol. 59(4), pages 1481-1509, August.
    24. Leeper, Eric M., 1991. "Equilibria under 'active' and 'passive' monetary and fiscal policies," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 129-147, February.
    25. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, March.
    26. Lubik, Thomas A. & Schorfheide, Frank, 2003. "Computing sunspot equilibria in linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 273-285, November.
    27. 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.
    28. Thomas Winberry, 2018. "A method for solving and estimating heterogeneous agent macro models," Quantitative Economics, Econometric Society, vol. 9(3), pages 1123-1151, November.
    29. Christopher Gust & Edward Herbst & David López-Salido & Matthew E. Smith, 2017. "The Empirical Implications of the Interest-Rate Lower Bound," American Economic Review, American Economic Association, vol. 107(7), pages 1971-2006, July.
    30. Mark A. Aguiar & Manuel Amador & Cristina Arellano, 2021. "Micro Risks and (Robust) Pareto Improving Policies," NBER Working Papers 28996, National Bureau of Economic Research, Inc.
    31. Levintal, Oren, 2017. "Fifth-order perturbation solution to DSGE models," Journal of Economic Dynamics and Control, Elsevier, vol. 80(C), pages 1-16.
    32. 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.
    33. Shiller, Robert J, 1981. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," American Economic Review, American Economic Association, vol. 71(3), pages 421-436, June.
    34. Bilbiie, Florin O., 2020. "The New Keynesian cross," Journal of Monetary Economics, Elsevier, vol. 114(C), pages 90-108.
    35. Ricardo Reis, 2021. "The constraint on public dept when r," BIS Working Papers 939, Bank for International Settlements.
    36. Roger E. A. Farmer, 1990. "Dynasty: A Simple Stochastic Growth Model," UCLA Economics Working Papers 598, UCLA Department of Economics.
    37. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    38. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    39. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
    40. Fama, Eugene F. & French, Kenneth R., 1988. "Dividend yields and expected stock returns," Journal of Financial Economics, Elsevier, vol. 22(1), pages 3-25, October.
    41. LeRoy, Stephen F & Porter, Richard D, 1981. "The Present-Value Relation: Tests Based on Implied Variance Bounds," Econometrica, Econometric Society, vol. 49(3), pages 555-574, May.
    42. Mark Aguiar & Manuel Amador & Cristina Arellano, 2021. "Micro Risks and Pareto Improving Policies," Working Papers 2021-15, Princeton University. Economics Department..
    43. Orazio P. Attanasio & Luigi Pistaferri, 2016. "Consumption Inequality," Journal of Economic Perspectives, American Economic Association, vol. 30(2), pages 3-28, Spring.
    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. Roger E. A. Farmer, 2018. "Pricing Assets in a Perpetual Youth Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 30, pages 106-124, October.
    2. Roger E.A. Farmer, 2019. "The Indeterminacy School in Macroeconomics," NBER Working Papers 25879, National Bureau of Economic Research, Inc.
    3. Roger E A Farmer, 2019. "The Indeterminacy Agenda in Macroeconomics," National Institute of Economic and Social Research (NIESR) Discussion Papers 507, National Institute of Economic and Social Research.
    4. Farmer, Roger, 2016. "Pricing Assets in an Economy with Two Types of People," CEPR Discussion Papers 11253, C.E.P.R. Discussion Papers.
    5. Robert Barro, 2023. "r Minus g," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 48, pages 1-17, April.
    6. Amol Amol & Erzo G. J. Luttmer, 2022. "Permanent Primary Deficits, Idiosyncratic Long-Run Risk, and Growth," Working Papers 794, Federal Reserve Bank of Minneapolis.
    7. Roger Farmer, 2014. "Asset Prices in a Lifecycle Economy," NBER Working Papers 19958, National Bureau of Economic Research, Inc.
    8. Hirose, Yasuo, 2020. "An Estimated Dsge Model With A Deflation Steady State," Macroeconomic Dynamics, Cambridge University Press, vol. 24(5), pages 1151-1185, July.
    9. Roger E.A. Farmer & Carine Nourry & Alain Venditti, 2012. "The Inefficient Markets Hypothesis: Why Financial Markets Do Not Work Well in the Real World," NBER Working Papers 18647, National Bureau of Economic Research, Inc.
    10. Marx, Magali & Mojon, Benoît & Velde, François R., 2021. "Why have interest rates fallen far below the return on capital?," Journal of Monetary Economics, Elsevier, vol. 124(S), pages 57-76.
    11. HIRAGUCHI Ryoji, 2023. "Optimal Government Debt Policy in the Overlapping Generations Model with Idiosyncratic Capital Return Risk," Discussion papers 23063, Research Institute of Economy, Trade and Industry (RIETI).
    12. Farmer, Roger, 2015. "Global Sunspots and Asset Prices in a Monetary Economy," CEPR Discussion Papers 10402, C.E.P.R. Discussion Papers.
    13. Fernández-Villaverde, J. & Rubio-Ramírez, J.F. & Schorfheide, F., 2016. "Solution and Estimation Methods for DSGE Models," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 527-724, Elsevier.
    14. Howard Kung & Gonzalo Morales & Alexandre Corhay, 2017. "Fiscal Discount Rates and Debt Maturity," 2017 Meeting Papers 840, Society for Economic Dynamics.
    15. Roger E.A. Farmer & Giovanni Nicolò, 2021. "Some International Evidence for Keynesian Economics Without the Phillips Curve," Manchester School, University of Manchester, vol. 89(S1), pages 1-22, September.
    16. John H. Cochrane, 2017. "Macro-Finance," Review of Finance, European Finance Association, vol. 21(3), pages 945-985.
    17. Francesco Bianchi & Giovanni Nicolò, 2021. "A generalized approach to indeterminacy in linear rational expectations models," Quantitative Economics, Econometric Society, vol. 12(3), pages 843-868, July.
    18. Nils M. Gornemann & Keith Kuester & Makoto Nakajima, 2021. "Doves for the Rich, Hawks for the Poor? Distributional Consequences of Systematic Monetary Policy," Opportunity and Inclusive Growth Institute Working Papers 50, Federal Reserve Bank of Minneapolis.
    19. Brumm, Johannes & Feng, Xiangyu & Kotlikoff, Laurence & Kubler, Felix, 2022. "Are deficits free?," Journal of Public Economics, Elsevier, vol. 208(C).
    20. Adrien Auclert & Bence Bardóczy & Matthew Rognlie & Ludwig Straub, 2021. "Using the Sequence‐Space Jacobian to Solve and Estimate Heterogeneous‐Agent Models," Econometrica, Econometric Society, vol. 89(5), pages 2375-2408, September.

    More about this item

    Keywords

    Asset pricing; Indeterminacy;

    JEL classification:

    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    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:cpr:ceprdp:17594. 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: the person in charge (email available below). General contact details of provider: https://www.cepr.org .

    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.