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The Distribution of Returns at Longer Horizons

In: Recent Advances In Financial Engineering 2010

Author

Listed:
  • Ernst Eberlein

    (Department of Mathematical Stochastics, University of Freiburg, Germany)

  • Dilip B. Madan

    (Robert H. Smith School of Business, University of Maryland, USA)

Abstract

Longer horizon returns are constructed from data on daily returns. Observed drawbacks of a Lévy process are a sharp decrease in skewness and excess kurtosis. Drawbacks to scaling are a flat term structure of skewness and excess kurtosis. A strategy that combines some exposure to independent increments and some exposure to scaling is developed in the context of self decomposable daily return distributions. Estimations are conducted on 400 stocks and we report that a good strategy for constructing longer horizon returns can be that of accumulating as i.i.d. half the daily return while scaling the remainder at rate one half.

Suggested Citation

  • Ernst Eberlein & Dilip B. Madan, 2011. "The Distribution of Returns at Longer Horizons," World Scientific Book Chapters, in: Masaaki Kijima & Chiaki Hara & Yukio Muromachi & Hidetaka Nakaoka & Katsumasa Nishide (ed.), Recent Advances In Financial Engineering 2010, chapter 1, pages 1-18, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789814366038_0001
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    Cited by:

    1. Dilip B. Madan & King Wang, 2022. "Two sided efficient frontiers at multiple time horizons," Annals of Finance, Springer, vol. 18(3), pages 327-353, September.

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