On the difference between locally risk-minimizing and delta hedging strategies for exponential L\'evy models

We discuss the difference between locally risk-minimizing and delta hedging strategies for exponential L\'evy models, where delta hedging strategies in this paper are defined under the minimal martingale measure. We give firstly model-independent upper estimations for the difference. In addition we show numerical examples for two typical exponential L\'evy models: Merton models and variance gamma models.