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Selecting weighting schemes under structural change in volatility forecasting

Identify which estimation data-weighting schemes—rolling window truncation versus exponential down-weighting—are most appropriate for handling structural change when training daily realized variance forecasting models for equities in walk-forward out-of-sample setups.

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Background

Financial time series often exhibit structural changes due to evolving market conditions and participant behavior. The authors discuss using rolling windows (discarding old data) or exponential weighting (gradually down-weighting old data) for estimation but note uncertainty about which is preferable in financial applications. Choosing the proper scheme impacts bias-variance trade-offs and forecast robustness.

References

A particularly simple technique for addressing the problem of structural change is to use a rolling window estimation set where data prior to a certain time period is completely discarded, or used with a weight of zero. Another data weighting scheme is to use exponential weighting that gradually down-weights old data. It is not exactly clear which schemes make the most sense in financial applications.

Predicting Realized Variance Out of Sample: Can Anything Beat The Benchmark? (2506.07928 - Pollok, 9 Jun 2025) in Section 3.1, Out-of-Sample Analysis