In this paper we study the daily return behavior of Bitcoin digital currency. We propose the use of generalized hyperbolic distributions (GH) to model Bitcoin's return. Our, results show that GH is a very good candidate to model this return.

In this paper we find empirical evidence of a new smirk factor, obtained from the jump structure of the risk neutral distribution of the underlying Lévy process. As an application we show how to price a barrier style contract.

In this paper we present new pricing formulas for some Power style contracts of European type when the underlying process is driven by an important class of L´evy processes, which includes CGMY model, generalized hyperbolic Model and Meixner Model, when no symmetry properties are assumed,...

In 1988 Dybvig introduced the payoff distribution pricing model (PDPM) as an alternative to the capital asset pricing model (CAPM). Under this new paradigm agents preferences depend on the probability distribution of the payoff and for the same distribution agents prefer the payoff that requires...

We study the skewness premium (SK) introduced by Bates (1991) in a general context using Lévy Processes. Under a symmetry condition Fajardo and Mordecki (2006) have obtained that SK is given by the Bate's x% rule. In this paper, we study SK under the absence of that symmetry condition. More...

The aim of this work is to use a duality approach to study the pricing of derivatives depending on two stocks driven by a bidimensional Lévy process. The main idea is to apply Girsanov's Theorem for Lévy processes, in order to reduce the posed problem to a problem with one Lévy driven stock...

In this paper we present new pricing formulas for some single barrier style contracts of the European type when the underlying process is driven by an important class of Lévy processes, which includes the CGMY model, generalized hyperbolic model and Meixner model, frequently used in the...

We find necessary and sufficient conditions for the market symmetry property, introduced by Fajardo and Mordecki (Quant Finance 6(3):219–227, <CitationRef CitationID="CR10">2006</CitationRef>), to hold in the Ornstein–Uhlenbeck stochastic volatility model, henceforth OU–SV. In particular, we address the non-Gaussian OU–SV model...</citationref>

We study the skewness premium (SK) introduced by Bates [<italic>J. Finance</italic>, 1991, <bold>46</bold>(3), 1009-1044] in a general context using Lévy processes. Under a symmetry condition, Fajardo and Mordecki [<italic>Quant. Finance</italic>, 2006, <bold>6</bold>(3), 219-227] obtained that SK is given by Bates' <italic>x</italic>% rule. In this paper, we study SK...