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Average Portfolio Insurance Strategies

Author

Listed:
  • Jacques Pézier

    (ICMA Centre, Henley Business School, University of Reading)

  • Johanna Scheller

    (ICMA Centre, Henley Business School, University of Reading)

Abstract

We design average portfolio insurance (API) strategies with an investment floor and a buffer that is a power of a geometric average of the underlying asset price. We prove that API strategies are optimal for investors with hyperbolic absolute risk aversion who become progressively more risk averse over time. During the averaging period, API strategies reduce the proportion of wealth allocated to the risky asset, which is the traditional life cycle investment recommendation. We compare the sensitivities of the fair price of equivalent payoffs generated by average and constant proportion portfolio insurance strategies and illustrate the performance of API strategies.

Suggested Citation

  • Jacques Pézier & Johanna Scheller, 2012. "Average Portfolio Insurance Strategies," ICMA Centre Discussion Papers in Finance icma-dp2012-05, Henley Business School, University of Reading.
  • Handle: RePEc:rdg:icmadp:icma-dp2012-05
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    File URL: http://www.icmacentre.ac.uk/files/discussion-papers/DP_2012_05.pdf
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    References listed on IDEAS

    as
    1. 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.
    2. Ravi Jagannathan & Narayana R. Kocherlakota, 1996. "Why should older people invest less in stock than younger people?," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 20(Sum), pages 11-23.
    3. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
    4. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    5. Sami Attaoui & Vincent Lacoste, 2013. "A scenario-based description of optimal American capital guaranteed strategies," Finance, Presses universitaires de Grenoble, vol. 34(2), pages 65-119.
    6. Philippe Bertrand & Jean-Luc Prigent, 2005. "Portfolio Insurance Strategies: OBPI versus CPPI," Post-Print hal-01833077, HAL.
    7. Hélyette Geman & Marc Yor, 1993. "Bessel Processes, Asian Options, And Perpetuities," Mathematical Finance, Wiley Blackwell, vol. 3(4), pages 349-375, October.
    8. Kemna, A. G. Z. & Vorst, A. C. F., 1990. "A pricing method for options based on average asset values," Journal of Banking & Finance, Elsevier, vol. 14(1), pages 113-129, March.
    9. Turnbull, Stuart M. & Wakeman, Lee Macdonald, 1991. "A Quick Algorithm for Pricing European Average Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 26(3), pages 377-389, September.
    10. Joao F. Cocco, 2005. "Consumption and Portfolio Choice over the Life Cycle," Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 491-533.
    11. 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.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Portfolio insurance; constant proportion portfolio insurance; average price Asian options; optimal payoff profile; utility theory; life cycle portfolio choice; power options.;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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