Abstract
This paper studies the performance of discrete-time constant proportional portfolio insurance (CPPI) under proportional trading cost and regime switching. Explicit formulas are developed for a variety of measures for the performance of a CPPI portfolio, and a double-sided Laplace inversion method is developed to compute the Omega measure of a CPPI portfolio. The established formulas can be easily implemented for sensitivity analysis on performance of a CPPI portfolio, and a numerical example with a real data set of S&P 500 index is presented to illustrate the eects the regime switching feature of the nancial market and the existence of transaction cost can exert on the performance of a CPPI portfolio.
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