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Estimation of Multivariate Asset Models with Jumps

Loregian, A., Ballotta, L. ORCID: 0000-0002-2059-6281, Fusai, G. ORCID: 0000-0001-9215-2586 and Perez, M. F. (2018). Estimation of Multivariate Asset Models with Jumps. Journal of Financial and Quantitative Analysis, doi: 10.1017/S0022109018001321

Abstract

We propose a consistent and computationally efficient 2-step methodology for the estimation of multidimensional non-Gaussian asset models built using L´evy processes. The proposed framework allows for dependence between assets and different tail-behaviors and jump structures for each asset. Our procedure can be applied to portfolios with a large number of assets as it is immune to estimation dimensionality problems. Simulations show good finite sample properties and significant efficiency gains. This method is especially relevant for risk management purposes such as, for example, the computation of portfolio Value at Risk and intra-horizon Value at Risk, as we show in detail in an empirical illustration.

Publication Type: Article
Additional Information: This article has been published in a revised form in Journal of Financial and Quantitative Analysis, https://www.cambridge.org/core/journals/journal-of-financial-and-quantitative-analysis This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © Cambridge University Press.
Subjects: H Social Sciences > HD Industries. Land use. Labor > HD61 Risk Management
H Social Sciences > HG Finance
Departments: Cass Business School > Finance
URI: http://openaccess.city.ac.uk/id/eprint/20349
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