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Quantitative Finance · Glosarium

Apa itu Bias statistic, volatility regime adjustment?

Dikenal juga sebagai: bias statistic · volatility regime adjustment

Definition 24.3 Research Craft: Predictors, Backtests, Measurement, Portfolios · Bab 24 — Risk Models

The bias statistic of a portfolio’s risk forecasts over TT periods is the standard deviation of its standardised returns rt/σ^t−1r_t/\hat\sigma_{t-1}; it is one for correct forecasts, within 1±2/T1 \pm \sqrt{2/T} with probability about 95% for normal returns. The cross-sectional bias of day tt is Bt2=1K∑kfkt2/σ^k,t−12B_t^2 = \frac1K\sum_k f_{kt}^2/\hat\sigma_{k,t-1}^2 over the factors. A volatility regime adjustment multiplies the covariance forecast by an exponentially weighted average λt2\lambda_t^2 of recent Bt2B_t^2, raising all factor volatilities together when the day’s factor returns are large for their forecasts.

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