Multivariate heavy-tailed models for Value-at-Risk estimation

Details Multivariate heavy-tailed models for Value-at-Risk estimation Multivariate heavy-tailed models for Value-at-Risk estimation

2010-05-17

arxiv.org/abs/1005.2862v3

Economy

Quantitative Finance

Risk Management

Scientific paper

For purposes of Value-at-Risk estimation, we consider several multivariate families of heavy-tailed distributions, which can be seen as multidimensional versions of Paretian stable and Student's t distributions allowing different marginals to have different tail thickness. After a discussion of relevant estimation and simulation issues, we conduct a backtesting study on a set of portfolios containing derivative instruments, using historical US stock price data.

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