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What should the value of lambda be in the exponentially weighted moving average volatility model?

  • Bernard Bollen

    Research output: Contribution to journalArticlepeer-review

    18 Citations (Scopus)

    Abstract

    Forecasting volatility is fundamental to forecasting parametric models of value-at-risk. The exponentially weighted moving average (EWMA) volatility model is the recommended model for forecasting volatility by the Riskmetrics group. For monthly data, the lambda parameter of the EWMA model is recommended to be set to 0.97. In this study, we empirically investigate if this is the optimal value of lambda in terms of forecasting volatility. Employing monthly realized volatility as the benchmark for testing the value of lambda, it is found that a value of lambda of 0.97 is far from optimal. The tests are robust to a variety of test statistics. It is further found that the optimal value of lambda is time varying and should be based upon recent historical data. The article offers a practical method to increase the reliability and accuracy of value-at-risk forecasts that can be easily implemented within an Excel spreadsheet.
    Original languageEnglish
    Pages (from-to)853-860
    JournalApplied Economics
    Volume47
    Issue number8
    DOIs
    Publication statusPublished - 2015

    Keywords

    • Financial Economics

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