2010 Fiscal Year Final Research Report
Comprehensive Studies on Financial Asset Management and Asset Pricing under Assumptions of Price Processes with Random Jumps
Project/Area Number |
20510135
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Social systems engineering/Safety system
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Research Institution | Osaka University |
Principal Investigator |
OHNISHI Masamitsu Osaka University, 大学院・経済学研究科, 教授 (10160566)
|
Project Period (FY) |
2008 – 2010
|
Keywords | ファイナンス・金融工学 / ジャンプを伴う拡散過程 / 最適停止 / 確率制御 / インパルス制御 / 自由境界問題 / 準変分不等式 |
Research Abstract |
Under the assumption that the prices of financial assets and/or values of financial variables follow some diffusion type stochastic processes with random jumps, we have been tried to execute comprehensive studies on financial asset management and arbitrage pricing/replication/hedging of various financial derivatives (derivative assets and contracts) from the various viewpoints of modeling and formalization, theoretical analysis, algorithmic and numerical methods, and so on, and we have obtained a lot of new fruitful results.
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Research Products
(8 results)