- 金融数学方法(英文版)
- - 作者：Ioannis Karatzas//Steven E.Shreve|责编:刘慧//高蓉
  - 出版社：世界图书出版公司
  - ISBN：9787506266116
  - 出版日期：2004/11/01
  - 页数：415
- 售价：39.6

内容大纲
本书共六章，内容包括金融市场的布朗运动模型；完全市场中的期权定价；单一代理商的消费与投资；完全市场的均衡；不完全市场期权；有约束的消费与投资。全书注重金融数学分析，涉及的内容是较一般的随机微积分的数学和现代金融市场。
作者介绍
目录
Preface
1  A Brownian Model of Financial Markets
  1.1  Stocks and a Money Market
  1.2  Portfolio and Gains Processes
  1.3  Income and Wealth Processes
  1.4  Arbitrage and Market Viability
  1.5  Standard Financial Markets
  1.6  Completeness of Financial Markets
  1.7  Financial Markets with an Infinite Planning Horizon
  1.8  Notes
2  Contingent Claim Valuation in a Complete Market
  2.1  Introduction
  2.2  European Contingent Claims
  2.3  Forward and Futures Contracts
  2.4  European Options in a Constant-Coefficient Market
  2.5  American Contingent Claims
  2.6  The American Call Option
  2.7  The American Put Option
  2.8  Notes
3  Single-Agent Consumption and Investment
  3.1  Introduction
  3.2  The Financial Market
  3.3  Consumption and Portfolio Processes
  3.4  Utility Functions
  3.5  The Optimization Problems
  3.6  Utility from Consumption and Terminal Wealth
  3.7  Utility from Consumption or Terminal Wealth
  3.8  Deterministic Coefficients
  3.9  Consumption and Investment on an Infinite Horizon
  3.10  Maximization of the Growth Rate of Wealth
  3.11  Notes
4  Equilibrium in a Complete Market
  4.1  Introduction
  4.2  Agents,Endowments,and Utility Functions
  4.3  The Financial Market:Consumption and Portfolio Processes
  4.4  The Individual Optimization Problems
  4.5  Equilibrium and the Representative Agent
  4.6  Existence and Uniqueness of Equilibrium
  4.7  Examples
  4.8  Notes
5  Contingent Claims in Incomplete Markets
  5.1  Introduction
  5.2  The Model
  5.3  Upper Hedging Price
  5.4  Convex Sets and Support Functions
  5.5  A Family of Auxiliary Markets
  5.6  The Main Hedging Result
  5.7  Upper Hedging with Constant Coefficients
  5.8  Optimal Dual Processes
  5.9  Lower Hedging Price

  5.10  Lower Hedging with Constant Coefficients
  5.11  Notes
6  Constrained Consumption and Investment
  6.1  Introduction
  6.2  Utility Maximization with Constraints
  6.3  A Family of Unconstrained Problems
  6.4  Equivalent Optimality Conditions
  6.5  Duality and Existence
  6.6  Deterministic Coefficients,Cone Constraints
  6.7  Incomplete Markets
  6.8  Higher Interest Rate for Borrowing Than for Investing
  6.9  Notes
Appendix A.Essential Supremum of a Family of Random Variables
Appendix B.On the Model of Section
Appendix C.On Theorem 6
Appendix D.Optimal Stopping for Continuous-Parameter Processes
Appendix E.The Clark Formula
References
Symbol Index
Index

内容大纲

作者介绍

目录

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