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Risk taking with additive and multiplicative background risks

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  • Franke, Guenter
  • Schlesinger, Harris
  • Stapleton, Richard C.

Abstract

We examine the effects of background risks on optimal portfolio choice. Examples of background risks include uncertain labor income, uncertainty about the terminal value of fixed assets such as housing and uncertainty about future tax liabilities. While some of these risks are additive and have been amply studied, others are multiplicative in nature and have received far less attention. The simultaneous effect of both additive and multiplicative risks has hitherto not received attention and can explain some paradoxical choice behavior. We rationalize such behavior and show how background risks might lead to seemingly U-shaped relative risk aversion for a representative investor.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:jetheo:v:146:y:2011:i:4:p:1547-1568
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    References listed on IDEAS

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    Cited by:

    1. Dionne, Georges & Li, Jingyuan, 2014. "Comparative Ross risk aversion in the presence of mean dependent risks," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 128-135.
    2. Sebastian Ebert & Daniel Wiesen, 2014. "Joint measurement of risk aversion, prudence, and temperance," Journal of Risk and Uncertainty, Springer, vol. 48(3), pages 231-252, June.
    3. Alghalith, Moawia, 2012. "The impact of background risk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6506-6508.
    4. Alexandru V. Asimit & Raluca Vernic & Riċardas Zitikis, 2013. "Evaluating Risk Measures and Capital Allocations Based on Multi-Losses Driven by a Heavy-Tailed Background Risk: The Multivariate Pareto-II Model," Risks, MDPI, Open Access Journal, vol. 1(1), pages 1-20, March.
    5. Mahayni, Antje & Schneider, Judith C., 2012. "Variable annuities and the option to seek risk: Why should you diversify?," Journal of Banking & Finance, Elsevier, vol. 36(9), pages 2417-2428.
    6. Jiang Wu & Ricardas Zitikis, 2016. "Should we opt for the Black Friday discounted price or wait until the Boxing Day?," Papers 1612.05855, arXiv.org.
    7. Matthias Pelster, 2015. "Marketable and non-hedgeable risk in a duopoly framework with hedging," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 39(4), pages 697-716, October.
    8. Udo Broll & Soumyatanu Mukherjee, 2018. "The attitude of multinationals towards risks," Discussion Papers 2018-02, University of Nottingham, GEP.
    9. Manesh, Sirous Fathi & Khaledi, Baha-Eldin & Dhaene, Jan, 2016. "Optimal allocation of policy deductibles for exchangeable risks," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 87-92.
    10. Li, Jingyuan & Liu, Dongri & Wang, Jianli, 2016. "Risk aversion with two risks: A theoretical extension," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 100-105.
    11. Huang, Hung-Hsi & Wang, Ching-Ping, 2013. "Portfolio selection and portfolio frontier with background risk," The North American Journal of Economics and Finance, Elsevier, vol. 26(C), pages 177-196.
    12. Moawia Alghalith & Xu Guo & Wing-Keung Wong & Lixing Zhu, 2016. "A General Optimal Investment Model In The Presence Of Background Risk," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 1-8, March.
    13. 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.
    14. Daniel Harenberg & Ludwig, Alexander, 2015. "Idiosyncratic Risk, Aggregate Risk, and the Welfare Effects of Social Security," MEA discussion paper series 201403, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
    15. Gollier, Christian & Kimball, Miles S., 2018. "Toward a Systematic Approach to the Economic Effects of Risk: Characterizing Utility Functions"," TSE Working Papers 18-909, Toulouse School of Economics (TSE).
    16. repec:spr:annopr:v:259:y:2017:i:1:d:10.1007_s10479-017-2537-9 is not listed on IDEAS
    17. Doerrenberg, Philipp & Duncan, Denvil & Zeppenfeld, Christopher, 2015. "Circumstantial risk: Impact of future tax evasion and labor supply opportunities on risk exposure," Journal of Economic Behavior & Organization, Elsevier, vol. 109(C), pages 85-100.
    18. Georges Dionne & Jingyuan Li, 2012. "Comparative Ross Risk Aversion in the Presence of Quadrant Dependent Risks," Cahiers de recherche 1226, CIRPEE.
    19. Nicos Scordis, 2011. "The Morality of Risk Modeling," Journal of Business Ethics, Springer, vol. 103(1), pages 7-16, April.
    20. Guo, Xu & Wong, Wing-Keung & Zhu, Lixing, 2013. "An analysis of portfolio selection with multiplicative background risk," MPRA Paper 51331, University Library of Munich, Germany.

    More about this item

    Keywords

    Derived risk aversion Additive; multiplicative background risk;

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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