Arbeitspapier

Realized Wishart-GARCH: A Score-driven Multi-Asset Volatility Model

We propose a novel multivariate GARCH model that incorporates realized measures for the variance matrix of returns. The key novelty is the joint formulation of a multivariate dynamic model for outer-products of returns, realized variances and realized covariances. The updating of the variance matrix relies on the score function of the joint likelihood function based on Gaussian and Wishart densities. The dynamic model is parsimonious while each innovation still impacts all elements of the variance matrix. Monte Carlo evidence for parameter estimation based on different small sample sizes is provided. We illustrate the model with an empirical application to a portfolio of 15 U.S. financial assets.

Language
Englisch

Bibliographic citation
Series: Tinbergen Institute Discussion Paper ; No. 16-061/III

Classification
Wirtschaft
Multiple or Simultaneous Equation Models: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
Model Evaluation, Validation, and Selection
Financial Econometrics
Subject
high-frequency data
multivariate GARCH
multivariate volatility
realised covariance
score
Wishart density

Event
Geistige Schöpfung
(who)
Hansen, Peter Reinhard
Janus, Pawel
Koopman, Siem Jan
Event
Veröffentlichung
(who)
Tinbergen Institute
(where)
Amsterdam and Rotterdam
(when)
2016

Handle
Last update
10.03.2025, 11:42 AM CET

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Object type

  • Arbeitspapier

Associated

  • Hansen, Peter Reinhard
  • Janus, Pawel
  • Koopman, Siem Jan
  • Tinbergen Institute

Time of origin

  • 2016

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