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 paper is to discuss the use of the Generalized Hyperbolic Distributions to fit Brazilian assets returns. Selected subclasses are compared regarding goodness of fit statistics and distances. Empirical results show that these distributions fit data well. Then we show how to use...

We establish the existence of sequential equilibria in general menu games, known to be sufficient to analyze common agency problems. In particular, we show that our result solves some unpleasant features of early approaches.

In this paper we compute equivalent martingale measures when the asset price return is modeled by a Lévy process. We follow the approach introduced by Gerber and Shiu (1994).

We study the skewness premium (SK) introduced by Bates (1991) in a general context using Lévy Processes. We obtain sufficient and necessary conditions for Bate's x% rule to hold. Then, we derive sufficient conditions for SK to be positive, in terms of the characteristic triplet of the Lévy...

In this paper we study the pricing problem of derivatives written in terms of a two dimensional Time-changed Lévy processes. Then, we examine an existing relation between prices of put and call options, of both the European and the American type. This relation is called put-call duality. It...