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Portfolio Insurance Strategies: A Comparison of Standard Methods When the Volatility of the Stock is Stochastic

Jean-Luc Prigent
University of Cergy-Pontoise - THEMA

Philippe Bertrand
University of Aix-Marseille 2 - GREQAM



International Journal of Business, Vol. 8, No. 4, 2003

Abstract:     
We compare the performances of the two standard portfolio insurance methods: the Option Based Portfolio Insurance (OBPI) and the Constant Proportion Portfolio Insurance (CPPI), when the volatility of the stock index is stochastic. In this framework, we provide a quite general formula for the CPPI portfolio value. We use criteria such as comparison of payoffs functions at maturity and various quantiles. We emphasize in particular the role of the insured percentage of the initial investment.

Keywords: Portfolio insurance, OBPI, CPPI, Stochastic volatility

JEL Classifications: G0, G15

Accepted Paper Series

Date posted: October 06, 2003 ; Last revised: October 19, 2003

Suggested Citation

Prigent , Jean-Luc and Bertrand, Philippe, Portfolio Insurance Strategies: A Comparison of Standard Methods When the Volatility of the Stock is Stochastic. International Journal of Business, Vol. 8, No. 4, 2003. Available at SSRN: http://ssrn.com/abstract=450061 or doi:10.2139/ssrn.450061


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Contact Information

Jean-Luc Prigent (Contact Author)
University of Cergy-Pontoise - THEMA ( email )
33 boulevard du port
33 bd du Port
F-95011 Cergy CEDEX France
Philippe Bertrand
University of Aix-Marseille 2 - GREQAM ( email )
2, rue de la Charité
Marseille 13002
France
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