Modeling the Extreme Risk of Financial Consecutive Losses in Generalized Pareto Distributions

以一般柏拉圖分配函數建立財務連續損失之極端風險模型

陳尚武(Winfred Sun-Wu Chen)

《東亞論壇》 473期 (2011/09) Pp. 73-80

https://doi.org/10.29705/EAR.201109.0007

摘要

本研究探討如何有效建構極端風險值之數學模式。相較於傳統風險值分析（VaR），本研究導入極端值理論，運用一般化柏拉圖分配函數（GPT），推導出DaR是－可行的極端值實證及新的研究方向。

關鍵字

DaR ； 極端值理論 ； 一般化柏拉圖分配

並列摘要

This study intends to explore the modeling of drawdowns variables. Although there are no previous evidences that financial drawdowns are normal, thin-tailed, or thick-tailed distributions, the extreme value theory (EVT) provides flexibilities to model the drawdowns. Throughout our study, we apply limit laws for maxima and uniformity of the convergence to present a comprehensive justification of generalized Pareto distribution (GPD) modeling on drawdowns variables, based on the peak over threshold (POT) framework of EVT. Our justifications provide a theoretical foundation for future studies on the estimation of various promising empirical Drawdown-at-risk (DaR) values.

並列關鍵字

Drawdown ； Drawdown-at-risk ； Extreme value theory ； Generalized Pareto Distribution

參考文獻

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