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Setting the margins of Hang Seng Index Futures on different positions using an APARCH-GPD Model based on extreme value theory

Yan Chen and Wenqiang Yu

Physica A: Statistical Mechanics and its Applications, 2020, vol. 544, issue C

Abstract: An asymmetric power autoregressive conditional heteroscedasticity with generalized Pareto distribution (APARCH-GPD) model is proposed in this study to determine the optimal margin level for the Hang Seng Index futures contracts on the Hong Kong Futures Exchange. This method requires two steps. First, the APARCH model is used to measure the time-varying volatility of futures contract returns. Then, the tail distribution of the residuals from APARCH model is estimated by the GPD on the basis of the extreme value theory. Value-at-risk is finally estimated and predicted by the APARCH-GPD model, and this is compared with the APARCH-t and EWMA models by backtesting historical return series. The experimental results show that the long trading position of the Hang Seng Index futures contract undertakes more risk than the short trading position. Moreover, the APARCH-GPD model offers better one-day forecasting on both positions than the other models. The findings of this study provide important implications for making decisions on financial risk management.

Keywords: Futures margin setting; Asymmetric power ARCH; Generalized Pareto distribution; Position; Value-at-risk (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:544:y:2020:i:c:s0378437119318023

DOI: 10.1016/j.physa.2019.123207

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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