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Intra-day periodicity, temporal aggregation and time-to-maturity in FTSE-100 index futures volatility

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  • David McMillan
  • Alan Speight

Abstract

Intra-day periodicity has been widely observed in financial data. Recent research examining intra-day foreign exchange rate volatility dynamics reports that failure to account for this periodicity results in inconsistent GARCH parameter estimates in relationship to theoretical predictions on temporal aggregation. This article seeks to appraise the generality of this conclusion to the FTSE-100 index futures market. The nature of periodicity is first examined. Subsequent empirical results concerning the temporal aggregation of GARCH models show that the use of returns that are not adjusted for such periodicity are misleading. However, adjustment using a sine-cosine wave method or standardization by mean absolute returns provide more consistent results, the latter method dominating in out-of-sample forecasting of the volatility of successive individual futures contracts. The potential time-to-maturity effects of single contracts are also considered, but are statistically rejected for both forms of periodicity-adjusted data.

Suggested Citation

  • David McMillan & Alan Speight, 2004. "Intra-day periodicity, temporal aggregation and time-to-maturity in FTSE-100 index futures volatility," Applied Financial Economics, Taylor & Francis Journals, vol. 14(4), pages 253-263.
  • Handle: RePEc:taf:apfiec:v:14:y:2004:i:4:p:253-263
    DOI: 10.1080/0960310042000201165
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    References listed on IDEAS

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    1. Sullivan, Ryan & Timmermann, Allan & White, Halbert, 1998. "The dangers of data-driven inference: the case of calender effects in stock returns," LSE Research Online Documents on Economics 119142, London School of Economics and Political Science, LSE Library.
    2. Richard Payne, 1996. "Announcement Effects and Seasonality in the Intra-day Foreign Exchange Market," FMG Discussion Papers dp238, Financial Markets Group.
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    Citations

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    Cited by:

    1. Robin de Vilder & Marcel P. Visser, 2007. "Proxies for daily volatility," PSE Working Papers halshs-00588307, HAL.
    2. Chu, Carlin C.F. & Lam, K.P., 2011. "Modeling intraday volatility: A new consideration," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 21(3), pages 388-418, July.
    3. Emawtee Bissoondoyal-Bheenick & Robert Brooks & Samantha Hum & Sirimon Treepongkaruna, 2011. "Sovereign rating changes and realized volatility in Asian foreign exchange markets during the Asian crisis," Applied Financial Economics, Taylor & Francis Journals, vol. 21(13), pages 997-1003.
    4. Haniff, Mohd Nizal & Pok, Wee Ching, 2010. "Intraday volatility and periodicity in the Malaysian stock returns," Research in International Business and Finance, Elsevier, vol. 24(3), pages 329-343, September.
    5. Kang, Sang Hoon & Yoon, Seong-Min, 2008. "Long memory features in the high frequency data of the Korean stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5189-5196.
    6. David McMillan & Alan Speight, 2006. "Heterogeneous information flows and intra-day volatility dynamics: evidence from the UK FTSE-100 stock index futures market," Applied Financial Economics, Taylor & Francis Journals, vol. 16(13), pages 959-972.
    7. B.B. Chakrabarti & Vivek Rajvanshi, 2017. "Intraday Periodicity and Volatility Forecasting: Evidence from Indian Crude Oil Futures Market," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 16(1), pages 1-28, April.

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