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Equilibrium of financial derivative markets under portfolio insurance constraints

Author

Listed:
  • Philippe Bertrand

    () (CERGAM - Centre d'Études et de Recherche en Gestion d'Aix-Marseille - AMU - Aix Marseille Université - UTLN - Université de Toulon)

  • Jean-Luc Prigent

    () (THEMA - Théorie économique, modélisation et applications - UCP - Université de Cergy Pontoise - Université Paris-Seine - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper examines the equilibrium of financial portfolios under insurance constraints on terminal wealth. We consider a single period economy in which agents search to maximize the expected utilities of their wealth at maturity. Three main classes of financial assets are considered: a riskless asset (usually the bond), a risky asset (the stock) and European options of all strikes (corresponding to financial derivatives). Both partial and general optimal financial equilibria are determined and analyzed for quite general utility functions and insurance constraints.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Philippe Bertrand & Jean-Luc Prigent, 2016. "Equilibrium of financial derivative markets under portfolio insurance constraints," Post-Print hal-01833070, HAL.
    • Handle: RePEc:hal:journl:hal-01833070
    DOI: 10.1016/j.econmod.2014.10.009
    Note: View the original document on HAL open archive server: https://hal-amu.archives-ouvertes.fr/hal-01833070
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    References listed on IDEAS

    as
    1. Grossman, Sanford J & Vila, Jean-Luc, 1989. "Portfolio Insurance in Complete Markets: A Note," The Journal of Business, University of Chicago Press, vol. 62(4), pages 473-476, October.
    2. Philippe Bertrand & Jean-Luc Prigent, 2010. "A Note on Risk Aversion, Prudence and Portfolio Insurance," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 35(1), pages 81-92, June.
    3. Franke, Gunter & Stapleton, Richard C. & Subrahmanyam, Marti G., 1998. "Who Buys and Who Sells Options: The Role of Options in an Economy with Background Risk," Journal of Economic Theory, Elsevier, vol. 82(1), pages 89-109, September.
    4. Brennan, M.J. & Solanki, R., 1981. "Optimal Portfolio Insurance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(3), pages 279-300, September.
    5. Basak, Suleyman & Shapiro, Alexander, 2001. "Value-at-Risk-Based Risk Management: Optimal Policies and Asset Prices," Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 371-405.
    6. Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-651, October.
    7. Brennan, Michael J & Schwartz, Eduardo S, 1989. "Portfolio Insurance and Financial Market Equilibrium," The Journal of Business, University of Chicago Press, vol. 62(4), pages 455-472, October.
    8. Leland, Hayne E, 1980. "Who Should Buy Portfolio Insurance?," Journal of Finance, American Finance Association, vol. 35(2), pages 581-594, May.
    9. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    10. Louis Eeckhoudt & Christian Gollier, 2005. "The impact of prudence on optimal prevention," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 989-994, November.
    11. Grossman, Sanford J & Zhou, Zhongquan, 1996. "Equilibrium Analysis of Portfolio Insurance," Journal of Finance, American Finance Association, vol. 51(4), pages 1379-1403, September.
    12. Stoimenov, Pavel A. & Wilkens, Sascha, 2005. "Are structured products 'fairly' priced? An analysis of the German market for equity-linked instruments," Journal of Banking & Finance, Elsevier, vol. 29(12), pages 2971-2993, December.
    13. Marti G. Subrahmanyam & Günter Franke & Richard C. Stapleton, 1998. "Who Buys and Who Sells Options: The Role and Pricing of Options in an Economy with Background Risk," New York University, Leonard N. Stern School Finance Department Working Paper Seires 98-063, New York University, Leonard N. Stern School of Business-.
    14. Stephen A. Ross, 1976. "Options and Efficiency," The Quarterly Journal of Economics, Oxford University Press, vol. 90(1), pages 75-89.
    15. El Karoui, Nicole & Jeanblanc, Monique & Lacoste, Vincent, 2005. "Optimal portfolio management with American capital guarantee," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 449-468, March.
    16. Friesen, Peter H, 1979. "The Arrow-Debreu Model Extended to Financial Markets," Econometrica, Econometric Society, vol. 47(3), pages 689-707, May.
    17. Joost Driessen & Pascal Maenhout, 2007. "An Empirical Portfolio Perspective on Option Pricing Anomalies," Review of Finance, European Finance Association, vol. 11(4), pages 561-603.
    18. Arditti, Fred D. & John, Kose, 1980. "Spanning the State Space with Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(1), pages 1-9, March.
    19. Hakansson, Nils H, 1978. "Welfare Aspects of Options and Supershares," Journal of Finance, American Finance Association, vol. 33(3), pages 759-776, June.
    20. Nils H. Hakansson., 1978. "Welfare Aspects of Options and Supershares," Research Program in Finance Working Papers 68, University of California at Berkeley.
    21. David M. Kreps, 1982. "Multiperiod Securities and the Efficient Allocation of Risk: A Comment on the Black-Scholes Option Pricing Model," NBER Chapters, in: The Economics of Information and Uncertainty, pages 203-232, National Bureau of Economic Research, Inc.
    22. Benninga, Simon & Mayshar, Joram, 2000. "Heterogeneity and option pricing," Research Report 00E08, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    23. repec:dgr:rugsom:00e08 is not listed on IDEAS
    24. Johnston, Elizabeth Tashjian & McConnell, John J, 1989. "Requiem for a Market: An Analysis of the Rise and Fall of a Financial Futures Contract," Review of Financial Studies, Society for Financial Studies, vol. 2(1), pages 1-23.
    25. Bick, Avi, 1987. "On the Consistency of the Black-Scholes Model with a General Equilibrium Framework," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(3), pages 259-275, September.
    26. Black, Fischer & Perold, AndreF., 1992. "Theory of constant proportion portfolio insurance," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 403-426.
    27. P. Carr & D. Madan, 2001. "Optimal positioning in derivative securities," Quantitative Finance, Taylor & Francis Journals, vol. 1(1), pages 19-37.
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    Cited by:

    1. Nie, Pu-yan & Wang, Chan & Chen, Zi-yue & Chen, You-hua, 2018. "A theoretic analysis of key person insurance," Economic Modelling, Elsevier, vol. 71(C), pages 272-278.
    2. Raquel M. Gaspar & Paulo M. Silva, 2019. "Investors’ Perspective on Portfolio InsuranceExpected Utility vs Prospect Theories," Working Papers REM 2019/92, ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa.

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