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On the Valuation of Long-Dated Assets

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  • Ian Martin

Abstract

I show that the pricing of a broad class of long-dated assets is driven by the possibility of extraordinarily bad news. This result does not depend on any assumptions about the existence of disasters, nor does it apply only to assets that hedge bad outcomes; indeed, it applies even to long-dated claims on the market in a lognormal world if the market's Sharpe ratio is higher than its volatility, as appears to be the case in practice.

Suggested Citation

  • Ian Martin, 2012. "On the Valuation of Long-Dated Assets," Journal of Political Economy, University of Chicago Press, vol. 120(2), pages 346-358.
    • Handle: RePEc:ucp:jpolec:doi:10.1086/666527
    DOI: 10.1086/666527
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    1. David Backus & Mikhail Chernov & Ian Martin, 2011. "Disasters Implied by Equity Index Options," Journal of Finance, American Finance Association, vol. 66(6), pages 1969-2012, December.
    2. 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.
    3. Ian W. Martin, 2013. "Consumption-Based Asset Pricing with Higher Cumulants," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(2), pages 745-773.
    4. Harry M. Markowitz, 2011. "Investment for the Long Run: New Evidence for an Old Rule," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 35, pages 495-508, World Scientific Publishing Co. Pte. Ltd..
    5. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, April.
    6. William D. Nordhaus, 2011. "The Economics of Tail Events with an Application to Climate Change," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 5(2), pages 240-257, Summer.
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    Cited by:

    1. Gollier, Christian, 2012. "A theory of rational short-termism with uncertain betas," LERNA Working Papers 12.14.371, LERNA, University of Toulouse.
    2. Guerra Vallejos, Ernesto & Bobenrieth Hochfarber, Eugenio & Bobenrieth Hochfarber, Juan & Wright, Brian D., 2021. "Solving dynamic stochastic models with multiple occasionally binding constraints," Economic Modelling, Elsevier, vol. 105(C).
    3. Campbell, John Y. & Sigalov, Roman, 2022. "Portfolio choice with sustainable spending: A model of reaching for yield," Journal of Financial Economics, Elsevier, vol. 143(1), pages 188-206.
    4. Kent D. Daniel & Robert B. Litterman & Gernot Wagner, 2016. "Applying Asset Pricing Theory to Calibrate the Price of Climate Risk," NBER Working Papers 22795, National Bureau of Economic Research, Inc.
    5. Beeler, Jason & Campbell, John Y., 2012. "The Long-Run Risks Model and Aggregate Asset Prices: An Empirical Assessment," Critical Finance Review, now publishers, vol. 1(1), pages 141-182, January.
    6. Ian Martin, 2013. "The Lucas Orchard," Econometrica, Econometric Society, vol. 81(1), pages 55-111, January.
    7. Dutt, Tanuj & Humphery-Jenner, Mark, 2013. "Stock return volatility, operating performance and stock returns: International evidence on drivers of the ‘low volatility’ anomaly," Journal of Banking & Finance, Elsevier, vol. 37(3), pages 999-1017.
    8. Gollier, Christian, 2019. "Valuation of natural capital under uncertain substitutability," Journal of Environmental Economics and Management, Elsevier, vol. 94(C), pages 54-66.
    9. Chabi-Yo, Fousseni & Leisen, Dietmar P.J. & Renault, Eric, 2014. "Aggregation of preferences for skewed asset returns," Journal of Economic Theory, Elsevier, vol. 154(C), pages 453-489.
    10. ARIKAWA Yasuhiro & Vikas MEHROTRA, 2021. "Distribution of Long-run Stock Returns: Evidence from Japan and the US," Discussion papers 21084, Research Institute of Economy, Trade and Industry (RIETI).
    11. Gollier, Christian, 2012. "Asset pricing with uncertain betas: A long-term perspective," TSE Working Papers 12-354, Toulouse School of Economics (TSE).
    12. Martin L. Weitzman, 2012. "Rare Disasters, Tail-Hedged Investments, and Risk-Adjusted Discount Rates," NBER Working Papers 18496, National Bureau of Economic Research, Inc.
    13. Haim Levy, 2016. "Aging Population, Retirement, and Risk Taking," Management Science, INFORMS, vol. 62(5), pages 1415-1430, May.
    14. Koijen, Ralph S.J. & Lustig, Hanno & Van Nieuwerburgh, Stijn, 2017. "The cross-section and time series of stock and bond returns," Journal of Monetary Economics, Elsevier, vol. 88(C), pages 50-69.
    15. Weidong Tian, 2021. "Long Run Law and Entropy," Papers 2111.06238, arXiv.org.
    16. Bessembinder, Hendrik, 2018. "Do stocks outperform Treasury bills?," Journal of Financial Economics, Elsevier, vol. 129(3), pages 440-457.
    17. Anna Battauz & Marzia Donno & Alessandro Sbuelz, 2017. "Reaching nirvana with a defaultable asset?," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 31-52, November.
    18. Arpit Gupta & Stijn Van Nieuwerburgh, 2021. "Valuing Private Equity Investments Strip by Strip," Journal of Finance, American Finance Association, vol. 76(6), pages 3255-3307, December.
    19. van Binsbergen, Jules H. & Boons, Martijn & Opp, Christian C. & Tamoni, Andrea, 2023. "Dynamic asset (mis)pricing: Build-up versus resolution anomalies," Journal of Financial Economics, Elsevier, vol. 147(2), pages 406-431.
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    21. Christian Gollier, 2024. "Evaluating sustainability actions under uncertainty: the role of improbable extreme scenarios," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 49(1), pages 59-74, March.

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    More about this item

    JEL classification:

    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • G1 - Financial Economics - - General Financial Markets
    • Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters and their Management; Global Warming

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