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Fractional differencing in discrete time

Author

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  • John Elder
  • Robert J. Elliott
  • Hong Miao

Abstract

This paper consists of two parts, a theoretical followed by an empirical contribution. We first give a new framework for fractional differencing in discrete time and show how the definition of fractional differencing that is commonly employed in empirical financial applications arises as a special case. We then use these methods to estimate the fractional differencing parameter in the return and volatility for three Comex metal futures contracts. The metal futures are sampled at very high frequencies—five-minute intervals over a nearly eight year period.

Suggested Citation

  • John Elder & Robert J. Elliott & Hong Miao, 2013. "Fractional differencing in discrete time," Quantitative Finance, Taylor & Francis Journals, vol. 13(2), pages 195-204, January.
    • Handle: RePEc:taf:quantf:v:13:y:2013:i:2:p:195-204
    DOI: 10.1080/14697688.2012.676207
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    Cited by:

    1. Robert J. Elliott & Tak Kuen Siu, 2014. "Strategic Asset Allocation Under a Fractional Hidden Markov Model," Methodology and Computing in Applied Probability, Springer, vol. 16(3), pages 609-626, September.

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