IDEAS home Printed from https://ideas.repec.org/p/kyo/wpaper/1098.html
   My bibliography  Save this paper

Cross Risk Apportionment and Non-financial Correlated Background Uncertainty

Author

Listed:
  • Takao Asano

    (Okayama University)

  • Yusuke Osaki

    (Waseda University)

Abstract

This paper considers a portfolio problem with one safe asset and one risky asset in the presence of background risk. We assume that the background risk is a non-financial variable and it is correlated to financial risk. The aim of this paper is to investigate the effect of correlation on portfolio choices. While we find that an increase in correlation lowers (raises) the expected utility for mixed correlation averse (seeking) individuals, contrary to intuition, it does not necessarily reduce (increase) the investment in the risky asset. We determine the conditions needed to reduce (increase) the investment and find that these conditions can be related to cross risk apportionment, which is the type of preferences for the combination of good and bad. We also introduce ambiguity into the correlation and investigate its effects on the portfolio choices.

Suggested Citation

  • Takao Asano & Yusuke Osaki, 2023. "Cross Risk Apportionment and Non-financial Correlated Background Uncertainty," KIER Working Papers 1098, Kyoto University, Institute of Economic Research.
    • Handle: RePEc:kyo:wpaper:1098
    as

    Download full text from publisher

    File URL: https://www.kier.kyoto-u.ac.jp/wp/wp-content/uploads/2023/11/DP1098.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    2. Menezes, Carmen F. & Wang, X.Henry, 2005. "Increasing outer risk," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 875-886, November.
    3. Daniel J. Clarke, 2016. "A Theory of Rational Demand for Index Insurance," American Economic Journal: Microeconomics, American Economic Association, vol. 8(1), pages 283-306, February.
    4. Eeckhoudt, Louis & Schlesinger, Harris & Tsetlin, Ilia, 2009. "Apportioning of risks via stochastic dominance," Journal of Economic Theory, Elsevier, vol. 144(3), pages 994-1003, May.
    5. Sloan, Frank A. & Kip Viscusi, W. & Chesson, Harrell W. & Conover, Christopher J. & Whetten-Goldstein, Kathryn, 1998. "Alternative approaches to valuing intangible health losses: the evidence for multiple sclerosis1," Journal of Health Economics, Elsevier, vol. 17(4), pages 475-497, August.
    6. Fujii, Yoichiro & Osaki, Yusuke, 2019. "The willingness to pay for health improvement under comorbidity ambiguity," Journal of Health Economics, Elsevier, vol. 66(C), pages 91-100.
    7. Massimo Guidolin & Francesca Rinaldi, 2013. "Ambiguity in asset pricing and portfolio choice: a review of the literature," Theory and Decision, Springer, vol. 74(2), pages 183-217, February.
    8. 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.
    9. David E. Bloom & Michael Kuhn & Klaus Prettner, 2022. "Modern Infectious Diseases: Macroeconomic Impacts and Policy Responses," Journal of Economic Literature, American Economic Association, vol. 60(1), pages 85-131, March.
    10. Mankiw, N. Gregory & Zeldes, Stephen P., 1991. "The consumption of stockholders and nonstockholders," Journal of Financial Economics, Elsevier, vol. 29(1), pages 97-112, March.
    11. Attema, Arthur E. & l’Haridon, Olivier & van de Kuilen, Gijs, 2019. "Measuring multivariate risk preferences in the health domain," Journal of Health Economics, Elsevier, vol. 64(C), pages 15-24.
    12. Caballe, Jordi & Pomansky, Alexey, 1996. "Mixed Risk Aversion," Journal of Economic Theory, Elsevier, vol. 71(2), pages 485-513, November.
    13. Cary Deck & Harris Schlesinger, 2014. "Consistency of Higher Order Risk Preferences," Econometrica, Econometric Society, vol. 82, pages 1913-1943, September.
    14. Christian Gollier, 2011. "Portfolio Choices and Asset Prices: The Comparative Statics of Ambiguity Aversion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(4), pages 1329-1344.
    15. Sandmo, Agnar, 1971. "On the Theory of the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 61(1), pages 65-73, March.
    16. Viscusi, W Kip & Evans, William N, 1990. "Utility Functions That Depend on Health Status: Estimates and Economic Implications," American Economic Review, American Economic Association, vol. 80(3), pages 353-374, June.
    17. Haliassos, Michael & Bertaut, Carol C, 1995. "Why Do So Few Hold Stocks?," Economic Journal, Royal Economic Society, vol. 105(432), pages 1110-1129, September.
    18. David Crainich & Louis Eeckhoudt & Alain Trannoy, 2013. "Even (Mixed) Risk Lovers Are Prudent," American Economic Review, American Economic Association, vol. 103(4), pages 1529-1535, June.
    19. Takao Asano & Yusuke Osaki, 2022. "Precautionary Saving against Correlation under Risk and Ambiguity," KIER Working Papers 1071, Kyoto University, Institute of Economic Research.
    20. Peter C. Fishburn & R. Burr Porter, 1976. "Optimal Portfolios with One Safe and One Risky Asset: Effects of Changes in Rate of Return and Risk," Management Science, INFORMS, vol. 22(10), pages 1064-1073, June.
    21. Larry G. Epstein & Stephen M. Tanny, 1980. "Increasing Generalized Correlation: A Definition and Some Economic Consequences," Canadian Journal of Economics, Canadian Economics Association, vol. 13(1), pages 16-34, February.
    22. Gilboa,Itzhak, 2009. "Theory of Decision under Uncertainty," Cambridge Books, Cambridge University Press, number 9780521517324.
    23. Briys, Eric & Crouhy, Michel & Schlesinger, Harris, 1993. "Optimal hedging in a futures market with background noise and basis risk," European Economic Review, Elsevier, vol. 37(5), pages 949-960, June.
    24. MOSSIN, Jan, 1968. "Aspects of rational insurance purchasing," LIDAM Reprints CORE 23, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    25. Edwards, Ryan D, 2008. "Health Risk and Portfolio Choice," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 472-485.
    26. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    27. Li, Jingyuan, 2011. "The demand for a risky asset in the presence of a background risk," Journal of Economic Theory, Elsevier, vol. 146(1), pages 372-391, January.
    28. Padmaja Ayyagari & Daifeng He, 2017. "The Role of Medical Expenditure Risk in Portfolio Allocation Decisions," Health Economics, John Wiley & Sons, Ltd., vol. 26(11), pages 1447-1458, November.
    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. Christian Gollier & James Hammitt & Nicolas Treich, 2013. "Risk and choice: A research saga," Journal of Risk and Uncertainty, Springer, vol. 47(2), pages 129-145, October.
    2. Loubergé, Henri & Malevergne, Yannick & Rey, Béatrice, 2020. "New Results for additive and multiplicative risk apportionment," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 140-151.
    3. Takao Asano & Yusuke Osaki, 2022. "Precautionary Saving against Correlation under Risk and Ambiguity," KIER Working Papers 1071, Kyoto University, Institute of Economic Research.
    4. Kit Pong Wong, 2022. "Production and hedging under correlated price and background risks," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 45(1), pages 241-256, June.
    5. Attema, Arthur E. & l’Haridon, Olivier & van de Kuilen, Gijs, 2019. "Measuring multivariate risk preferences in the health domain," Journal of Health Economics, Elsevier, vol. 64(C), pages 15-24.
    6. Wong, Kit Pong, 2022. "Diversification and risk attitudes toward two risks," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    7. Christophe Courbage & Richard Peter & Béatrice Rey, 2022. "Incentive and welfare effects of correlated returns," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(1), pages 5-34, March.
    8. Han Bleichrodt & Christophe Courbage & Béatrice Rey, 2019. "The value of a statistical life under changes in ambiguity," Journal of Risk and Uncertainty, Springer, vol. 58(1), pages 1-15, February.
    9. Michel Denuit & Louis Eeckhoudt, 2010. "Bivariate Stochastic Dominance and Substitute Risk-(In)dependent Utilities," Decision Analysis, INFORMS, vol. 7(3), pages 302-312, September.
    10. 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.
    11. David Crainich & Louis Eeckhoudt & James Hammitt, 2015. "The value of risk reduction: new tools for an old problem," Theory and Decision, Springer, vol. 79(3), pages 403-413, November.
    12. Asano, Takao & Osaki, Yusuke, 2021. "Optimal investment under ambiguous technology shocks," European Journal of Operational Research, Elsevier, vol. 293(1), pages 304-311.
    13. Niu, Geng & Wang, Qi & Li, Han & Zhou, Yang, 2020. "Number of brothers, risk sharing, and stock market participation," Journal of Banking & Finance, Elsevier, vol. 113(C).
    14. Paan Jindapon & Liqun Liu & William S. Neilson, 2021. "Comparative risk apportionment," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 91-112, April.
    15. Fujii, Yoichiro & Osaki, Yusuke, 2019. "The willingness to pay for health improvement under comorbidity ambiguity," Journal of Health Economics, Elsevier, vol. 66(C), pages 91-100.
    16. Kit Wong, 2014. "Hedging and the competitive firm under correlated price and background risk," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(2), pages 329-340, October.
    17. Ebert, Sebastian & van de Kuilen, Gijs, 2015. "Experiments on bivariate risk preferences," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113055, Verein für Socialpolitik / German Economic Association.
    18. repec:dau:papers:123456789/11094 is not listed on IDEAS
    19. Gollier, Christian, 2021. "A general theory of risk apportionment," Journal of Economic Theory, Elsevier, vol. 192(C).
    20. Camille Cornand & Maria Alejandra Erazo Diaz & Béatrice Rey & Adam Zylbersztejn, 2023. "On the robustness of higher order attitudes to ambiguity framing," Working Papers 2318, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    21. Irene Mussio & Maximiliano Sosa Andrés & Abdul H Kidwai, 2023. "Higher order risk attitudes in the time of COVID-19: an experimental study," Oxford Economic Papers, Oxford University Press, vol. 75(1), pages 163-182.

    More about this item

    Keywords

    Ambiguity; Bivariate Utility Function; Linear Payoff; Mixed Correlation Aversion (Seekingness); Background Uncertainty; Portfolio Choice;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

    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:kyo:wpaper:1098. 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: Makoto Watanabe (email available below). General contact details of provider: https://edirc.repec.org/data/iekyojp.html .

    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.