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The aim of this paper is to estimate multivariate affine generalized distributions (MAGH) using market data. We use the Ibovespa, CAC, DAX, FTSE, NIKKEI and S&P500 indexes. We estimate the univariate distributions, bi-variate distributions and six-dimensional distribution. Then we assess their...
Persistent link: https://www.econbiz.de/10005006619
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...
Persistent link: https://www.econbiz.de/10005770991
The aim of this paper is to estimate the Multivariate Affine Generalized distributions (MAGH) using market data. We use Ibovespa, CAC, DAX, FTSE, NIKKEI and S&P500 indexes. We estimate the univariate distributions, the bi-variate distributions and the 6-dimensional distribution. Then, we asses...
Persistent link: https://www.econbiz.de/10005551031
In this paper we use multivariate affine generalized hyperbolic (MAGH) distributions, introduced by Schmidt et al. (2006), to show how to price multidimensional derivatives when the underlying asset follows a MAGH distribution. We also illustrate the approach using market data from the BOVESPA...
Persistent link: https://www.econbiz.de/10008488021
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...
Persistent link: https://www.econbiz.de/10005440070
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...
Persistent link: https://www.econbiz.de/10004971778
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...
Persistent link: https://www.econbiz.de/10011209861
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>
Persistent link: https://www.econbiz.de/10010993489
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...
Persistent link: https://www.econbiz.de/10010976287
Contingent Convertibles (“CoCos”) are contingent capital instruments which convert into shares, or have a principal write down, if a trigger event takes place. CoCos exhibit the undesirable so-called death-spiral effect: by actively hedging the equity risk, investors can (unintentionally)...
Persistent link: https://www.econbiz.de/10011065581