On Continuity Properties for Option Prices in Exponential Lévy Models

摘要

For a converging sequence of exponential Lévy models, we give conditions under which the associated sequence of option prices converges. We also study the behavior of the prices when no such convergence holds. We then consider two special cases: first when the martingale measure is chosen by minimization of entropy, and then when it minimizes Hellinger integrals.