A Multivariate Jump-Driven Financial Asset Model
AbstractWe discuss a Lévy multivariate model for financial assets which incorporates jumps, skewness, kurtosis and stochastic volatility. We use it to describe the behavior 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 sto- chastic 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 InfoPaper provided by Collegio Carlo Alberto in its series Carlo Alberto Notebooks with number 29.
Length: 30 pages
Date of creation: 2006
Date of revision:
Lévy processes; multivariate asset modelling; copulas; risk neutral dependence.;
Other versions of this item:
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
- G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
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