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Modeling High Frequency Data with Long Memory and Structural Change: A-HYEGARCH Model

1,* and 2
Department of Actuarial Studies and Business Analytics, Macquarie University, North Ryde 2109, Australia
Research School of Finance, Actuarial Studies and Statistics, The Australian National University, Acton 2601, Australia
Author to whom correspondence should be addressed.
Risks 2018, 6(2), 26;
Received: 28 February 2018 / Revised: 20 March 2018 / Accepted: 24 March 2018 / Published: 26 March 2018
PDF [1650 KB, uploaded 29 March 2018]


In this paper, we propose an Adaptive Hyperbolic EGARCH (A-HYEGARCH) model to estimate the long memory of high frequency time series with potential structural breaks. Based on the original HYGARCH model, we use the logarithm transformation to ensure the positivity of conditional variance. The structural change is further allowed via a flexible time-dependent intercept in the conditional variance equation. To demonstrate its effectiveness, we perform a range of Monte Carlo studies considering various data generating processes with and without structural changes. Empirical testing of the A-HYEGARCH model is also conducted using high frequency returns of S&P 500, FTSE 100, ASX 200 and Nikkei 225. Our simulation and empirical evidence demonstrate that the proposed A-HYEGARCH model outperforms various competing specifications and can effectively control for structural breaks. Therefore, our model may provide more reliable estimates of long memory and could be a widely useful tool for modelling financial volatility in other contexts. View Full-Text
Keywords: long memory; structural change; GARCH; A-HYEGARCH long memory; structural change; GARCH; A-HYEGARCH

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Shi, Y.; Yang, Y. Modeling High Frequency Data with Long Memory and Structural Change: A-HYEGARCH Model. Risks 2018, 6, 26.

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