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The Empirical Performance of Option Based Densities of Foreign Exchange

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  • Ben R. Craig

    () (Research Centre, Deutsche Bundesbank, Wilhelm-Epstein-Strasse 14, D-60431 Frankfurt/M.)

  • Joachim G. Keller

    () (Research Centre, Deutsche Bundesbank, Wilhelm-Epstein-Strasse 14, D-60431 Frankfurt/M.)

Abstract

In this study we first estimate the volatility diffusion process of the underlying futures contracts that fit best daily observed American option prices. We then calculate for each day risk neutral densities for different points of time in the future by simulating these processes. To assess how good these denisities are in forcasting, we suggest non-parametric tests based on the inverse probability function. These tests account for the correlation of the inverse probabilities due to the overlapping window problem that always arises when the forecasting horizon is longer than the sample frequency. We find that our densities do considerably well for the thirty to sixty day horizon while doing less well for shorter horizons.

Suggested Citation

  • Ben R. Craig & Joachim G. Keller, 2002. "The Empirical Performance of Option Based Densities of Foreign Exchange," Working Papers 60, Oesterreichische Nationalbank (Austrian Central Bank).
  • Handle: RePEc:onb:oenbwp:60
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    Cited by:

    1. Gabriela De Raaij & Burkhard Raunig, 2005. "Evaluating density forecasts from models of stock market returns," The European Journal of Finance, Taylor & Francis Journals, vol. 11(2), pages 151-166.
    2. Ben R. Craig & Ernst Glatzer & Joachim G. Keller & Martin Scheicher, 2003. "The forecasting performance of German stock option densities," Working Paper 0312, Federal Reserve Bank of Cleveland.

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