Meixner process: theory and applications to financial Brazilian market

Abstract

Well-known models that are extensively used by market traders, such as the Black-Scholes model, assume that the daily log-returns of assets follow a Normal distribution. Empirical evidences, however, show that return rates are frequently asymmetric and have fatter tails. Hence, this work aims to investigate if the Meixner distribution would be more appropriate to fit daily log-return. Additionally, it will be explored if the Lévy process risen from this distribution, the Meixner process, is efficient to price financial derivatives. Therefore, this study proposes the replacement of the Brownian motion by the Meixner process in Black-Scholes.