Stochastic optimization problems arise in decision-making problems under uncertainty, and find various applications in economics and finance. On the other hand, problems in finance have recently led to new developments in the theory of stochastic control. This volume provides a systematic treatment of stochastic optimization problems applied to finance by presenting the different existing methods: dynamic programming, viscosity solutions, backward stochastic differential equations, and martingale duality methods. The theory is discussed in the context of recent developments in this field, with complete and detailed proofs, and is illustrated by means of concrete examples from the world of finance: portfolio allocation, option hedging, real options, optimal investment, etc. This book is directed towards graduate students and researchers in mathematical finance, and will also benefit applied mathematicians interested in financial applications and practitioners wishing to know more about the use of stochastic optimization methods in finance.
發表於2024-11-23
Continuous-Time Stochastic Control and Optimization with Financial Applications 2024 pdf epub mobi 電子書 下載
圖書標籤: 金融數學 數學 隨機控製 金融 Quant 金融工程 最優化
這本書真的很棒,從符號到證明方式都值得學習。用這麼薄的一本書能從HJB講到viscosity solution, 再講到BSDE, 最後還能講完martingale duality, 真的很厲害。適閤打通體係,直接來學可能會很吃力。
評分作者是巴黎七大隨機數學實驗室的負責老師
評分這本書真的很棒,從符號到證明方式都值得學習。用這麼薄的一本書能從HJB講到viscosity solution, 再講到BSDE, 最後還能講完martingale duality, 真的很厲害。適閤打通體係,直接來學可能會很吃力。
評分作者是巴黎七大隨機數學實驗室的負責老師
評分作者是巴黎七大隨機數學實驗室的負責老師
Continuous-Time Stochastic Control and Optimization with Financial Applications 2024 pdf epub mobi 電子書 下載