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A Comprehensive Evaluation of Portfolio Insurance Strategies

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  • Jacques Pézier

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

  • Johanna Scheller

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

Abstract

We present a comprehensive framework for comparing the merits of alternative portfolio insurance strategies in realistic contexts. Our findings add generality to previous results comparing option based and constant proportionality portfolio insurance strategies (OBPI and CPPI). The optimal OBPI and CPPI payoffs are determined by maximising expected utilities, with various degrees of risk sensitivity and over several investment horizons, using a general, two-parameter HARA utility. We consider two cases: either defined payoffs are purchased at fair prices or, as is typical in the implementation of portfolio insurance strategies, replicated discretely. The price dynamics of risky assets are modelled with either a geometric Brownian process or a time-changed geometric Brownian. Our results confirm the superiority of CPPI over OBPI in all cases. The effects of discrete replication and discontinuous price processes are examined by simulation and compared to the purchase at fair price of the theoretically optimal CPPI payoff when the underlying process is geometric Brownian.

Suggested Citation

  • Jacques Pézier & Johanna Scheller, 2011. "A Comprehensive Evaluation of Portfolio Insurance Strategies," ICMA Centre Discussion Papers in Finance icma-dp2011-15, Henley Business School, University of Reading.
    • Handle: RePEc:rdg:icmadp:icma-dp2011-15
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    File URL: http://www.icmacentre.ac.uk/files/discussion-papers/DP2011-15.pdf
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    References listed on IDEAS

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    Cited by:

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    More about this item

    Keywords

    Capital guaranteed products; constant proportionality portfolio insurance; option based portfolio insurance; jump processes; time-changed Brownian motion; dynamic replication; utility theory.;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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