Arbeitspapier

The Analysis of Stochastic Volatility in the Presence of Daily Realised Measures

We develop a systematic framework for the joint modelling of returns and multiple daily realised measures. We assume a linear state space representation for the log realised measures, which are noisy and biased estimates of the log integrated variance, at least due to Jensen's inequality. We incorporate filtering methods for the estimation of the latent log volatility process. The endogeneity between daily returns and realised measures leads us to develop a consistent two-step estimation method for all parameters in our specification. This method is computationally straightforward even when the stochastic volatility model contains non-Gaussian return innovations and leverage effects. The empirical results reveal that measurement errors become significantly smaller after filtering and that the forecasts from our model outperforms those from a set of recently developed alternatives.

Language
Englisch

Bibliographic citation
Series: Tinbergen Institute Discussion Paper ; No. 11-132/4

Classification
Wirtschaft
Single Equation Models; Single Variables: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
Financial Econometrics
Subject
Kalman filter
leverage
realised volatility
simulated maximum likelihood

Event
Geistige Schöpfung
(who)
Koopman, Siem Jan
Scharth, Marcel
Event
Veröffentlichung
(who)
Tinbergen Institute
(where)
Amsterdam and Rotterdam
(when)
2011

Handle
Last update
10.03.2025, 11:44 AM CET

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Object type

  • Arbeitspapier

Associated

  • Koopman, Siem Jan
  • Scharth, Marcel
  • Tinbergen Institute

Time of origin

  • 2011

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