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Implied Volatility with Time-Varying Regime Probabilities

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  • Lanne, Markku
  • Ahoniemi, Katja

Abstract

This paper presents a mixture multiplicative error model with a time-varying probability between regimes. We model the implied volatility derived from call and put options on the USD/EUR exchange rate. The daily first difference of the USD/EUR exchange rate is used as a regime indicator, with large daily changes signaling a more volatile regime. Forecasts indicate that it is beneficial to jointly model the two implied volatility series: both mean squared errors and directional accuracy improve when employing a bivariate rather than a univariate model. In a two-year out-of-sample period, the direction of change in implied volatility is correctly forecast on two thirds of the trading days.

Suggested Citation

  • Lanne, Markku & Ahoniemi, Katja, 2008. "Implied Volatility with Time-Varying Regime Probabilities," MPRA Paper 23721, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:23721
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    File URL: https://mpra.ub.uni-muenchen.de/23721/1/MPRA_paper_23721.pdf
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    References listed on IDEAS

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    More about this item

    Keywords

    Implied volatility; option markets; multiplicative error models; forecasting;

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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