金融數學方法 pdf epub mobi txt 电子书 下载 2025

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Ioannis Karatzas，Steven E.Shreve 著

圖書標籤:

• 金融數學
• 數學金融
• 量化金融
• 金融工程
• 隨機過程
• 偏微分方程
• 數值分析
• 概率論
• 統計學
• 投資學

出版社： 世界图书出版公司

ISBN：9787506266116

版次：1

商品编码：10096022

包装：平装

开本：24开

出版时间：2004-04-01

用纸：胶版纸

页数：415

正文语种：英文

內容簡介

This book is intended for readers who are quite familiar with probability and stochastic processes but know little or nothing about finance. It is written in the definition/theorem/proof style of modern mathematics and attempts to explain as much of the finance motivation and terminology as possible.

目錄

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 1.1
Appendix C. On Theorem 6.4.1
Appendix D. Optimal Stopping for Continuons-Parameter Processes
Appendix E. The Clark Formula
References
Symbol Index
Index

前言/序言

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世图的影印书出得不错，很具有学术参考价值。

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金融数学

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世图的影印书出得不错，很具有学术参考价值。

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在国内不

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不错

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21世

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金融数学

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不错

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纪数学技术和计算机技术一样成为任何一门科学发展过程中的必备工具。美国花旗银行副总裁柯林斯（Collins）1995年3月6日在英国剑桥大学牛顿数学科学研究所的讲演中叙述到：“在18世纪初，和牛顿同时代的著名数学家伯努利曾宣称：‘从事物理学研究而不懂数学的人实际上处理的是意义不大的东西。’那时候，这样的说法对物理学而言是正确的，但对于银行业而言不一定对。在18世纪，你可以没有任何数学训练而很好地运作银行。过去对物理学而言是正确的说法现在对于银行业也正确了。于是现在可以这样说：‘从事银行业工作而不懂数学的人实际上处理的是意义不大的东西’。”他还指出：花旗银行70%的业务依赖于数学，他还特别强调，‘如果没有数学发展起来的工具和技术，许多事情我们是一点办法也没有的……没有数学我们不可能生存。”这里银行家用他的经验描述了数学的重要性。在冷战结束后，美国原先在军事系统工作的数以千计的科学家进入了华尔街，大规模的基金管理公司纷纷开始雇佣数学博士或物理学博士。这是一个重要信号：金融市场不是战场，却远胜于战场。但是市场和战场都离不开复杂艰深，迅速的计算工作。