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Multivariate Stochastic Variance Models

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Harvey, A., Ruiz, E., Shephard, N.·1994·The Review of Economic Studies

Abstract

Changes in variance, or volatility, over time can be modelled using the approach based on autoregressive conditional heteroscedasticity (ARCH). However, the generalizations to multivariate series can be difficult to estimate and interpret. Another approach is to model variance as an unobserved stochastic process. Although it is not easy to obtain the exact likelihood function for such stochastic variance models, they tie in closely with developments in finance theory and have certain statistical attractions. This article sets up a multivariate model, discusses its statistical treatment and shows how it can be modified to capture common movements in volatility in a very natural way. The model is then fitted to daily observations on exchange rates.

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Metadata

Authors
Harvey, A., Ruiz, E., & Shephard, N.
Venue
The Review of Economic Studies
Published
1994-04-01
Volume
61
Issue
2
Pages
247-264
ISSN
  • 0034-6527 (ISSN-L)
  • 1467-937X
OpenAlex
W2153155589
Cited by
1,364
References
3
FWCI
59.79
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Multivariate Stochastic Variance Models. https://app.cochat.ai/papers/10.2307/2297980
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Harvey, A., Ruiz, E., & Shephard, N. (1994). Multivariate Stochastic Variance Models. The Review of Economic Studies. https://doi.org/10.2307/2297980

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.