金融市場の変動における力法則分布の理論
Xavier Gabaix1, Parameswaran Gopikrishnan, Vasiliki Plerou
1Department of Economics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02142, USA. xgabaix@mit.edu
Nature
|May 16, 2003
まとめ
株式価格の変動のような大きな金融の変動は,世界の市場における権力法則に従っている. 新しいモデルでは,市場活動と,共同ファンドなどの大きな参加者による最適な取引を結びつけることで,これを説明しています.
科学分野:
- 定量金融 定量金融とは
- 統計力学 統計力学とは
- 市場のダイナミクス 市場のダイナミクス
背景:
- 複雑なシステムの分析は,多くの場合,重要な変動に焦点を当てています.
- 金融市場は,株価,取引量,取引数の大きな変動を示しています.
- 経験的なデータは,これらの金融変動のパワー・ロー分布を様々な市場で明らかにしています.
研究 の 目的:
- 金融変動における観測された力法則の振る舞いを説明する理論的モデルを提案する.
- これらの統計的規則性を生成する上で,大規模な市場参加者の役割を調査する.
- 異なる市場タイプと国における経験的発見について,統一された説明を提供すること.
主な方法:
- 大規模な市場の動きは,大きな参加者の取引から生じるという仮説に基づくモデルを開発する.
- 大規模な市場参加者 (相互投資ファンド) のサイズ分布の経験的特徴を活用する.
- 最適性の仮定の下で取引行動を分析し,パワー法則指数を導きます.
主要な成果:
- 提案されたモデルは,金融変動データにおける力法則の流行をうまく説明しています.
- このモデルは,大きな参加者の最適な取引行動が,観察された力法則分布につながることを実証しています.
- このモデルは,価格変動,取引量,取引数に関する経験的規則性を説明しています.
結論:
- 金融市場における権力法現象の基礎となるのは,一般的な理論的根拠である.
- 大規模な参加者とその最適な取引戦略は,市場動態の主要な原動力です.
- このモデルは,金融変動の統計的特性を理解するための統一された枠組みを提供します.
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