Arbitrage Theory in Continuous Time (Hardcover)
暫譯: 連續時間套利理論 (精裝版)

Bjork, Tomas

  • 出版商: Oxford University
  • 出版日期: 2020-02-18
  • 售價: $1,200
  • 貴賓價: 9.8$1,176
  • 語言: 英文
  • 頁數: 592
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0198851618
  • ISBN-13: 9780198851615
  • 相關分類: 經濟學 Economy
  • 立即出貨 (庫存=1)

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商品描述

The fourth edition of this widely used textbook on pricing and hedging of financial derivatives now also includes dynamic equilibrium theory and continues to combine sound mathematical principles with economic applications.

Concentrating on the probabilistic theory of continuous time arbitrage pricing of financial derivatives, including stochastic optimal control theory and optimal stopping theory, Arbitrage Theory in Continuous Time is designed for graduate students in economics and mathematics, and combines the
necessary mathematical background with a solid economic focus. It includes a solved example for every new technique presented, contains numerous exercises, and suggests further reading in each chapter. All concepts and ideas are discussed, not only from a mathematics point of view, but with lots of
intuitive economic arguments.

In the substantially extended fourth edition Tomas Bjork has added completely new chapters on incomplete markets, treating such topics as the Esscher transform, the minimal martingale measure, f-divergences, optimal investment theory for incomplete markets, and good deal bounds. This edition
includes an entirely new section presenting dynamic equilibrium theory, covering unit net supply endowments models and the Cox-Ingersoll-Ross equilibrium factor model.

Providing two full treatments of arbitrage theory-the classical delta hedging approach and the modern martingale approach-this book is written so that these approaches can be studied independently of each other, thus providing the less mathematically-oriented reader with a self-contained
introduction to arbitrage theory and equilibrium theory, while at the same time allowing the more advanced student to see the full theory in action.

This textbook is a natural choice for graduate students and advanced undergraduates studying finance and an invaluable introduction to mathematical finance for mathematicians and professionals in the market.

商品描述(中文翻譯)

第四版的這本廣泛使用的金融衍生品定價與對沖教科書現在也包含了動態均衡理論,並持續結合穩健的數學原則與經濟應用。

本書專注於金融衍生品的連續時間套利定價的概率理論,包括隨機最優控制理論和最優停止理論,《連續時間套利理論》旨在為經濟學和數學的研究生設計,並結合必要的數學背景與堅實的經濟焦點。每個新技術都有解決的範例,包含大量練習題,並在每章建議進一步閱讀。所有概念和想法不僅從數學的角度進行討論,還提供了許多直觀的經濟論據。

在大幅擴展的第四版中,Tomas Bjork 增加了全新的章節,探討不完全市場,涵蓋了如 Esscher 變換、最小鞅測度、f-發散、針對不完全市場的最優投資理論以及良好交易界限等主題。本版還包含了一個全新的部分,介紹動態均衡理論,涵蓋單位淨供給禮品模型和 Cox-Ingersoll-Ross 均衡因子模型。

本書提供了兩種完整的套利理論處理方式——經典的 delta 對沖方法和現代的鞅方法,這本書的寫作方式使得這些方法可以獨立學習,從而為數學背景較弱的讀者提供了一個自成體系的套利理論和均衡理論的入門,同時也讓更高級的學生能夠看到完整理論的運作。

這本教科書是研究金融的研究生和高年級本科生的自然選擇,對於數學家和市場專業人士來說,這是數學金融的寶貴入門書。

作者簡介


Tomas Bjork, Professor of Mathematical Finance, Department of Finance, Stockholm School of Economics

Tomas Bjork is Professor Emeritus of Mathematical Finance at the Stockholm School of Economics. He has previously worked at the Mathematics Department of the Royal Institute of Technology, also in Stockholm.
Tomas Bjork has been president of the Bachelier Finance Society, co-editor of Mathematical Finance, and has been on the editorial board for Finance and Stochastics and other journals. He has published numerous journal articles on mathematical finance, and in particular is known for his research on
point process driven forward rate models, consistent forward rate curves, general interest rate theory, finite dimensional realisations of infinite dimensional SDEs, good deal bounds, and time inconsistent control theory.

作者簡介(中文翻譯)

Tomas Bjork,數學金融教授,瑞典斯德哥爾摩經濟學院金融系

Tomas Bjork是瑞典斯德哥爾摩經濟學院的數學金融名譽教授。他曾在瑞典皇家理工學院的數學系工作。

Tomas Bjork曾擔任Bachelier Finance Society的會長,並擔任《Mathematical Finance》的共同編輯,還曾在《Finance and Stochastics》等期刊的編輯委員會任職。他發表了大量有關數學金融的期刊文章,特別以其在以下領域的研究而聞名:

點過程驅動的遠期利率模型、一致的遠期利率曲線、一般利率理論、無限維隨機微分方程的有限維實現、良好交易界限以及時間不一致控制理論。