MULTIVARIATE FACTOR-BASED PROCESSES WITH SATO MARGINS
Marina Marena,
Andrea Romeo () and
Patrizia Semeraro
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Andrea Romeo: Department of Economics and Statistics, Universitá di Torino, c.so Unione Sovietica 218bis, Torino, Italia
International Journal of Theoretical and Applied Finance (IJTAF), 2018, vol. 21, issue 01, 1-30
Abstract:
We introduce a class of multivariate factor-based processes with the dependence structure of Lévy ρα-models and Sato marginal distributions. We focus on variance gamma and normal inverse Gaussian marginal specifications for their analytical tractability and fit properties. We explore if Sato models, whose margins incorporate more realistic moments term structures, preserve the correlation flexibility in fitting option data. Since ρα-models incorporate nonlinear dependence, we also investigate the impact of Sato margins on nonlinear dependence and its evolution over time. Further, the relevance of nonlinear dependence in multivariate derivative pricing is examined.
Keywords: Multivariate asset models; Lévy processes; Sato processes; nonlinear dependence (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijtafx:v:21:y:2018:i:01:n:s021902491850005x
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DOI: 10.1142/S021902491850005X
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