A multivariate jump-driven financial asset model
AbstractWe discuss a Levy multivariate model for financial assets which incorporates jumps, skewness, kurtosis and stochastic volatility. We use it to describe the behaviour of a series of stocks or indexes and to study a multi-firm, value-based default model. Starting from an independent Brownian world, we introduce jumps and other deviations from normality, including non-Gaussian dependence. We use a stochastic time-change technique and provide the details for a Gamma change. The main feature of the model is the fact that—opposite to other, non-jointly Gaussian settings—its risk-neutral dependence can be calibrated from univariate derivative prices, providing a surprisingly good fit.
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Bibliographic InfoArticle provided by Taylor and Francis Journals in its journal Quantitative Finance.
Volume (Year): 6 (2006)
Issue (Month): 5 ()
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Web page: http://taylorandfrancis.metapress.com/link.asp?target=journal&id=111405
Other versions of this item:
- Elisa Luciano & Wim Schoutens, 2005. "A Multivariate Jump-Driven Financial Asset Model," ICER Working Papers - Applied Mathematics Series 6-2005, ICER - International Centre for Economic Research.
- Elisa Luciano & Wim Schoutens, 2006. "A Multivariate Jump-Driven Financial Asset Model," Carlo Alberto Notebooks 29, Collegio Carlo Alberto.
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
- G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
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