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Can Models with Idiosyncratic Risk Solve the Equity Premium Puzzle? Redux

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Abstract

Can idiosyncratic risk explain the equity premium? We revisit this question using a novel measure of imperfect risk sharing, implied by a large class of heterogeneous-agent models, constructed using household-level panel data. We identify a group of households – with relatively high income but low net worth – whose consumption is sufficiently volatile and risky to explain 94% of the observed U.S. Sharpe ratio. In contrast, the consumption dynamics of high net-worth individuals predict a negative Sharpe ratio and so do not constitute the relevant pricing factor, consistent with models featuring wealth motives.

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  • Gleb Kozliakov & Emile A. Marin & Sanjay R. Singh, 2026. "Can Models with Idiosyncratic Risk Solve the Equity Premium Puzzle? Redux," Working Paper Series 2026-06, Federal Reserve Bank of San Francisco.
  • Handle: RePEc:fip:fedfwp:103059
    DOI: 10.24148/wp2026-06
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    1. 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.
    2. Krueger, Dirk & Lustig, Hanno, 2010. "When is market incompleteness irrelevant for the price of aggregate risk (and when is it not)?," Journal of Economic Theory, Elsevier, vol. 145(1), pages 1-41, January.
    3. Weil, Philippe, 1989. "The equity premium puzzle and the risk-free rate puzzle," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 401-421, November.
    4. Matthieu Gomez, 2025. "Wealth Inequality and Asset Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 92(6), pages 3924-3967.
    5. Leonid Kogan & Dimitris Papanikolaou & Noah Stoffman, 2020. "Left Behind: Creative Destruction, Inequality, and the Stock Market," Journal of Political Economy, University of Chicago Press, vol. 128(3), pages 855-906.
    6. Weil, Philippe, 1992. "Equilibrium asset prices with undiversifiable labor income risk," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 769-790.
    7. Narayana R. Kocherlakota, 2025. "Public Debt Bubbles, Liquidity, and Risk: Policy Assessments Based on the Zero-Beta Interest Rate," NBER Working Papers 33897, National Bureau of Economic Research, Inc.
    8. Ian W. R. Martin & Christian Wagner, 2019. "What Is the Expected Return on a Stock?," Journal of Finance, American Finance Association, vol. 74(4), pages 1887-1929, August.
    9. Cox, John C. & Ingersoll Junior, Jonathan E. & Ross, Stephen A., 2007. "A theory of the term structure of interest rates," RAE - Revista de Administração de Empresas, FGV-EAESP Escola de Administração de Empresas de São Paulo (Brazil), vol. 47(2), April.
    10. Alon Brav & George M. Constantinides & Christopher C. Geczy, 2002. "Asset Pricing with Heterogeneous Consumers and Limited Participation: Empirical Evidence," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 793-824, August.
    11. Nakajima, Tomoyuki, 2005. "A business cycle model with variable capacity utilization and demand disturbances," European Economic Review, Elsevier, vol. 49(5), pages 1331-1360, July.
    12. repec:spo:wpmain:info:hdl:2441/8686 is not listed on IDEAS
    13. David K. Backus & Silverio Foresi & Chris Telmer, "undated". "Discrete time models of bond pricing," GSIA Working Papers 251, Carnegie Mellon University, Tepper School of Business.
    14. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    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. Fatih Guvenen, 2009. "A Parsimonious Macroeconomic Model for Asset Pricing," Econometrica, Econometric Society, vol. 77(6), pages 1711-1750, November.
    17. Krusell, Per & Mukoyama, Toshihiko & Smith Jr., Anthony A., 2011. "Asset prices in a Huggett economy," Journal of Economic Theory, Elsevier, vol. 146(3), pages 812-844, May.
    18. Grossman, Sanford J. & Shiller, Robert J., 1982. "Consumption correlatedness and risk measurement in economies with non-traded assets and heterogeneous information," Journal of Financial Economics, Elsevier, vol. 10(2), pages 195-210, July.
    19. Sebastian Di Tella & Benjamin M. Hébert & Pablo Kurlat, 2024. "Aggregation, Liquidity, and Asset Prices with Incomplete Markets," NBER Working Papers 32268, National Bureau of Economic Research, Inc.
    20. Panageas, Stavros, 2020. "The Implications of Heterogeneity and Inequality for Asset Pricing," Foundations and Trends(R) in Finance, now publishers, vol. 12(3), pages 199-275, November.
    21. Heaton, John & Lucas, Deborah J, 1996. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 443-487, June.
    22. Cogley, Timothy, 2002. "Idiosyncratic risk and the equity premium: evidence from the consumer expenditure survey," Journal of Monetary Economics, Elsevier, vol. 49(2), pages 309-334, March.
    23. Mariacristina De Nardi, 2004. "Wealth Inequality and Intergenerational Links," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 743-768.
    24. Michael Carlos Best & James S Cloyne & Ethan Ilzetzki & Henrik J Kleven, 2020. "Estimating the Elasticity of Intertemporal Substitution Using Mortgage Notches," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 87(2), pages 656-690.
    25. Christian Bayer & Ralph Luetticke & Lien Pham‐Dao & Volker Tjaden, 2019. "Precautionary Savings, Illiquid Assets, and the Aggregate Consequences of Shocks to Household Income Risk," Econometrica, Econometric Society, vol. 87(1), pages 255-290, January.
    26. David Berger & Luigi Bocola & Alessandro Dovis, 2023. "Imperfect Risk Sharing and the Business Cycle," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 138(3), pages 1765-1815.
    27. Ian Martin, 2017. "What is the Expected Return on the Market?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(1), pages 367-433.
    28. 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.
    29. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    30. Schmidt, Lawrence D.W., 2025. "Climbing and falling off the ladder: Asset pricing implications of labor market event risk," Journal of Financial Economics, Elsevier, vol. 172(C).
    31. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    32. repec:bla:jfinan:v:59:y:2004:i:4:p:1481-1509 is not listed on IDEAS
    33. George M Constantinides, 2025. "Welfare Costs of Idiosyncratic and Aggregate Consumption Shocks," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 15(2), pages 103-120.
    34. Elkamhi, Redouane & Jo, Chanik, 2023. "Asset holders’ consumption risk and tests of conditional CCAPM," Journal of Financial Economics, Elsevier, vol. 148(3), pages 220-244.
    35. Iván Werning, 2015. "Incomplete Markets and Aggregate Demand," NBER Working Papers 21448, National Bureau of Economic Research, Inc.
    36. Jonathan Gruber, 2013. "A Tax-Based Estimate of the Elasticity of Intertemporal Substitution," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 3(01), pages 1-20.
    37. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    38. 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.
    39. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-262, April.
    40. 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.
    41. Narayana Kocherlakota & Luigi Pistaferri, 2009. "Asset Pricing Implications of Pareto Optimality with Private Information," Journal of Political Economy, University of Chicago Press, vol. 117(3), pages 555-590, June.
    42. Adrien Verdelhan, 2010. "A Habit‐Based Explanation of the Exchange Rate Risk Premium," Journal of Finance, American Finance Association, vol. 65(1), pages 123-146, February.
    43. Emile A. Marin & Sanjay R. Singh, 2025. "Incomplete Markets and Exchange Rates," Working Paper Series 2025-11, Federal Reserve Bank of San Francisco.
    44. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    45. Sun, Tong-sheng, 1992. "Real and Nominal Interest Rates: A Discrete-Time Model and Its Continuous-Time Limit," The Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 581-611.
    46. Bansal, Ravi & Lehmann, Bruce N., 1997. "Growth-Optimal Portfolio Restrictions On Asset Pricing Models," Macroeconomic Dynamics, Cambridge University Press, vol. 1(2), pages 333-354, June.
    47. Tarek A. Hassan & Thomas M. Mertens & Jingye Wang, 2024. "A Currency Premium Puzzle," Working Paper Series 2024-32, Federal Reserve Bank of San Francisco.
    48. Carolin Pflueger & Emil Siriwardane & Adi Sunderam, 2020. "Financial Market Risk Perceptions and the Macroeconomy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(3), pages 1443-1491.
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    2. Emile A. Marin & JiYong Jung, 2026. "Looking for Risk: Volatility Bounds in Macro," Working Papers 378, University of California, Davis, Department of Economics.

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    Keywords

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    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • B52 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - Historical; Institutional; Evolutionary; Modern Monetary Theory;
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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