Performance Evaluation of Optimized Portfolio Insurance Strategies

Abstract

We use S&P 500 index return data for the time period 1985-2012 to evaluate the performance of portfolio insurance strategies. We shed light on the question if the performance of a constant proportion portfolio insurance (CPPI) strategy can be improved by means of a time-varying multiplier which depends on the estimated future volatility. Neglecting any inter-temporal hedging demand, the theoretical foundation of the strategies is given by maximizing the expected utility of a HARA investor in a diffusion model setup. If the risk premium is assumed to be proportional to the variance, the optimal strategy is a CPPI strategy. Otherwise, the multiple is time-varying (PPI). It turns out that even time-varying multiple strategies based on a rolling window of historical volatility estimates give a significant improvement of CPPI strategies. The out-performance is robust w.r.t. alternative performance measures and is also true for proportional transaction costs and adequate trigger trading.

Keywords: Portfolio insurance, Performance evaluation, S&P 500, Regime switching EGARCH model, Transaction costs, Trigger trading, Gap risk

JEL Classification: G11, C51, C52, C53