השוואת שיטות
סקרו את השיטות שבחרתם זו לצד זו; שורות שבהן יש הבדל מודגשות.
| מודל ARIMA (Autoregressive Integrated Moving Average)× | Conditional Value-at-Risk (Expected Shortfall)× | Exponential GARCH (EGARCH)× | תנודתיות ממומשת ומודל ה-HAR× | |
|---|---|---|---|---|
| תחום≠ | אקונומטריקה | מימון | אקונומטריקה | מימון |
| משפחה | Regression model | Regression model | Regression model | Regression model |
| שנת המקור≠ | 2015 | 2000 | 1991 | 2009 |
| הוגה השיטה≠ | Box & Jenkins (Box-Jenkins methodology) | Rockafellar & Uryasev (2000); Acerbi & Tasche (2002) | Nelson | Corsi (HAR model); Andersen, Bollerslev, Diebold & Labys (realized volatility) |
| סוג≠ | Univariate time-series model | Coherent tail-risk measure | Conditional volatility model (asymmetric GARCH variant) | Time-series regression of realized variance |
| מקור מכונן≠ | Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021 | Rockafellar, R. T. & Uryasev, S. (2000). Optimization of Conditional Value-at-Risk. Journal of Risk, 2(3), 21-41. DOI ↗ | Nelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. DOI ↗ | Corsi, F. (2009). A Simple Approximate Long-Memory Model of Realized Volatility. Journal of Financial Econometrics, 7(2), 174-196. DOI ↗ |
| כינויים≠ | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli | CVaR, expected shortfall, average value-at-risk, tail VaR | exponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCH | realized variance, HAR model, heterogeneous autoregressive model of realized volatility, HAR-RV |
| קשורות≠ | 5 | 5 | 4 | 5 |
| תקציר≠ | ARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015). | Conditional Value-at-Risk (CVaR), also called Expected Shortfall, is a coherent tail-risk measure that quantifies the conditional expectation of losses beyond the Value-at-Risk threshold. It was introduced for optimization by Rockafellar and Uryasev (2000) and shown to be coherent by Acerbi and Tasche (2002), and it has replaced VaR as the regulatory standard under Basel III/IV. | EGARCH is an asymmetric GARCH variant, introduced by Nelson in 1991, that models the leverage effect in which bad news raises volatility more than good news of the same size. It captures the negative-shock asymmetry of financial return series by modelling the logarithm of the conditional variance. | Realized volatility estimates an asset's variance directly from high-frequency intraday returns rather than from a parametric latent process. The Heterogeneous Autoregressive (HAR) model of Corsi (2009), building on the realized-volatility framework of Andersen, Bollerslev, Diebold and Labys (2003), forecasts this measure by combining daily, weekly, and monthly volatility components, and is a strong alternative to GARCH for volatility prediction. |
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