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Insurance demand and welfare-maximizing risk capital—Some hints for the regulator in the case of exponential preferences and exponential claims

  • Burren, Daniel
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    We propose two models to analyze welfare-maximizing capital requirements for insurance companies considering that capital is costly and therefore affecting the premium. Within a continuous-time model, we derive insurance demand and welfare as a function of personal wealth, the insurance company’s wealth, and the claims process, and compare them to their counterparts in a static model. Besides discussing welfare-maximizing capital, we provide some new insights on insurance demand.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0167668713001121
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    Article provided by Elsevier in its journal Insurance: Mathematics and Economics.

    Volume (Year): 53 (2013)
    Issue (Month): 3 ()
    Pages: 551-568

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    Handle: RePEc:eee:insuma:v:53:y:2013:i:3:p:551-568
    Contact details of provider: Web page: http://www.elsevier.com/locate/inca/505554

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    1. Kangoh Lee, 2005. "Wealth Effects on Self-Insurance and Self-Protection against Monetary and Nonmonetary Losses," The Geneva Risk and Insurance Review, Palgrave Macmillan, vol. 30(2), pages 147-159, December.
    2. Elyès Jouini & Moncef Meddeb & Nizar Touzi, 2004. "Vector-valued Coherent Risk Measures," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00167154, HAL.
    3. Elyès Jouini & Walter Schachermayer & Nizar Touzi, 2007. "Optimal Risk Sharing for Law Invariant Monetary Utility Functions," Working Papers halshs-00176606, HAL.
    4. repec:hal:journl:halshs-00167154 is not listed on IDEAS
    5. Neil A. Doherty & Harris Schlesinger, 1990. "Rational Insurance Purchasing: Consideration of Contract Nonperformance," The Quarterly Journal of Economics, Oxford University Press, vol. 105(1), pages 243-253.
    6. Anne Gron, 1994. "Capacity Constraints and Cycles in Property-Casualty Insurance Markets," RAND Journal of Economics, The RAND Corporation, vol. 25(1), pages 110-127, Spring.
    7. Yow, Shaun & Sherris, Michael, 2008. "Enterprise Risk Management, Insurer Value Maximisation, and Market Frictions," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 38(01), pages 293-339, May.
    8. Powers, Michael R., 1995. "A theory of risk, return and solvency," Insurance: Mathematics and Economics, Elsevier, vol. 17(2), pages 101-118, October.
    9. J. Dhaene & R. J. A. Laeven & S. Vanduffel & G. Darkiewicz & M. J. Goovaerts, 2008. "Can a Coherent Risk Measure Be Too Subadditive?," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(2), pages 365-386.
    10. Hans Föllmer & Alexander Schied, 2002. "Convex measures of risk and trading constraints," Finance and Stochastics, Springer, vol. 6(4), pages 429-447.
    11. repec:dau:papers:123456789/353 is not listed on IDEAS
    12. Dhaene, Jan & Tsanakas, Andreas & Emiliano, Valdez & Steven, Vanduffel, 2009. "Optimal capital allocation principles," MPRA Paper 13574, University Library of Munich, Germany.
    13. Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
    14. Cagle, Julie A B & Harrington, Scott E, 1995. "Insurance Supply with Capacity Constraints and Endogenous Insolvency Risk," Journal of Risk and Uncertainty, Springer, vol. 11(3), pages 219-32, December.
    15. Helmut Gründl & Thomas Post & Roman N. Schulze, 2006. "To Hedge or Not to Hedge: Managing Demographic Risk in Life Insurance Companies," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(1), pages 19-41.
    16. Cummins, J. David & Danzon, Patricia M., 1997. "Price, Financial Quality, and Capital Flows in Insurance Markets," Journal of Financial Intermediation, Elsevier, vol. 6(1), pages 3-38, January.
    17. Liu, Yanyan & Myers, Robert, 2012. "The dynamics of insurance demand under liquidity constraints and insurer default risk:," IFPRI discussion papers 1174, International Food Policy Research Institute (IFPRI).
    18. Damir Filipović & Michael Kupper, 2008. "Optimal Capital And Risk Transfers For Group Diversification," Mathematical Finance, Wiley Blackwell, vol. 18(1), pages 55-76.
    19. Martin F. Grace & Richard D. Phillips, 2007. "The Allocation of Governmental Regulatory Authority: Federalism and the Case of Insurance Regulation," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 74(1), pages 207-238.
    20. repec:hal:journl:hal-00536925 is not listed on IDEAS
    21. Chris Mulhearn & Howard R. Vane, 2008. "The Euro," Books, Edward Elgar Publishing, number 12566, December.
    22. Tsanakas, Andreas, 2009. "To split or not to split: Capital allocation with convex risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 44(2), pages 268-277, April.
    23. Buch, A. & Dorfleitner, G., 2008. "Coherent risk measures, coherent capital allocations and the gradient allocation principle," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 235-242, February.
    24. Moore, Kristen S. & Young, Virginia R., 2006. "Optimal insurance in a continuous-time model," Insurance: Mathematics and Economics, Elsevier, vol. 39(1), pages 47-68, August.
    25. Zimmer, Anja & Schade, Christian & Gründl, Helmut, 2009. "Is default risk acceptable when purchasing insurance? Experimental evidence for different probability representations, reasons for default, and framings," Journal of Economic Psychology, Elsevier, vol. 30(1), pages 11-23, February.
    26. Lixin Wu & Min Dai, 2009. "Pricing jump risk with utility indifference," Quantitative Finance, Taylor & Francis Journals, vol. 9(2), pages 177-186.
    27. Borch, Karl, 1975. "Optimal Insurance Arrangements," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 8(03), pages 284-290, September.
    28. Olivier Mahul & Brian D. Wright, 2004. "Implications of Incomplete Performance for Optimal Insurance," Economica, London School of Economics and Political Science, vol. 71(284), pages 661-670, November.
    29. Bruhn, Kenneth & Steffensen, Mogens, 2011. "Household consumption, investment and life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 48(3), pages 315-325, May.
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