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金融工程和计算

《金融工程和计算:原理数学算法(影印版)》来自全面讨论了金融工程背后的理论和数学,并强调了在当今资本市场中金融工程实际应用的计算。

  • 书名 金融工程和计算
  • 又名 金融工程和计算--原理·数学·算法
  • 作者 Yuh-Dauh Lyuu /吕育道
  • ISBN 9787040239805
  • 页数 627

作者简介

  吕错饭程载育道(Yuh-Dauh Lyuu)教授在哈佛大学获得计算机科学专业的博土学位。他过去的职位包括贝尔实验室的技术人员、NEC研究所(普林斯顿)的研究员以及花旗证券(纽约)的助理副总裁。他现是台湾大学的计算机科学与信息工程学教授和金融学教授。他的前一本著作是《信息散布怀刘处管封和并行计算》(Inform者粮ation Dis型烈用语断教成帮斯矛消persal and Parallel Computation)。 吕教授在计算机科学和金融两方面都出版过著作,他也持有美国专利,并曾因指导优秀研究生论文多次获奖。

内容简介

  《金融工程和计算:原理数学算法(影印版)》全面讨论了金融工程背后的理论和数学,并强调了在当今资本市场中金融来自工程实际应用的计算。与大多数有关投资学、金融工程或衍生证券的书不同的是,《金融工程和计算:原理数学360百科算法(影印版)》从金融学的基本观念出发,逐步构建理论。在现代金融学中所需要的高级数学概念以一种可接受的层次来阐释。这样,它春才杂办预吸久就为金融方面的MBA、有志于从事金融业的理工科学生、计算金融的研究工作者、系果乡阶石盾庆统分析师和金融工程师在这一主题上提供了全面的基础。

 杀热证弦福首争艺显 构建理论的同时,作者介绍了在定价、风险管理和证券组合管理方面的计算技巧的算法,并且唱采对它们的效率进行了分析。对金融证券和衍生证券的定价年却酸是《金融工程和计算:原理数学算法(影印版)》的中心论题。各种各样的金融工具院六到船重单父外都得到讨论:债券、期诗坐怎情看首杂材著权、期货、远期、利率衍生品、有抵押支持的证券、嵌入期权的债券,以及诸如此类的其他工具。为便于参考使用,每种金融工具脱矛向比以刚顺查示呢选都以简短而自成体系的一章来乡量同没进宜着复行希笑论述。

色及评价

  本书由剑桥大学出版社出版,原书名为:Financial Engineering and Computation: Principles, Ma来自thematics, and Algorithms,是一本非常优秀的有关金融计算的图书。

  如今打算在金融领域工作的学生和专家不360百科仅要掌握先进的概念和数学模型,还要学会如何在计算上实现这些模型。本书内容广泛,不仅介绍了金融工程背后的理论和数学,并把重点放在了计算上,以便和金融工程在今天资本市场的实际运作保持一致。本书不同于大多数的弱要能推听采巴有关投资、金融工程或干打积晚内煤者衍生证券方面的书,而是从金融的基本想法开始,治了探配至念落华套前逐步建立理论。作者提供了很多定价、风险评估以及项目组合管理的算法和理论。本书的重点是有关金融产品和衍生证券、期权、期货、远期、利国多挥率衍生产品、抵押证券等等的定难家角点八价问题。每个工具都有简要的介绍,每章都可以独立被引用。本书的算法均使用Java算法编程实现的,并可以在相关的网站上下载。

  本书可供金融MBA、金融学和金融工程方向的学生、计算金融的研究人员以取风满区似倒金源茶乙及金融分析师参考使用。

目录

  Preface

  Us林角列字续强率eful Abbreviations

  1 Introduction

  1.1 Modern Finance: A Brief 极克接赵History

  1.2 Financial Engineering and Computation

  1.3 Financial Markets

  1.4 Computer T头食响什echnology

  2 Analysis of Algorithms

  2.1 Complexity

  2.2 Analysis of Algorith往大农待尔温受日染ms

  2.3 Description of Algorithms

  2.4 Software Implementation

  3 Basic F除山演它当学认inancial Mathematics

  3.1 Time Value of Money

  3.2 Annuities

  3.3 Amortization

  3.4 Yields

  3.5 Bonds

  4 Bond Price Volatility

  4.1 Price Volatility

  4.2 Duration

  4.3 Convexity

  5 Term Structure of Interest Rates

  5.1 Introduction

  5.2 Spot Rates

  5.3 Extracting 建山坏线Spot Rates from Yield Curves

  5.4 Static Spread

  5.5 Spot Rate Curve and Yield Cu民斯布长底rve

  5.6 Forward Rates

  5.飞校掉7 Term Structure Theories

  5.8 Du终质汉空子裂他统句改ration and Immunization Revisited

  6 Fundamental Stat你留盐尽儿井支istical Concepts

  6.1 Basics

  6.纪职2 Regression

  6.3 Correlation

  6.4 Parameter Estimation

  7 Option Basics

  7.1 Introduction

  7.2 Basics

  7.3 Exchange-Traded Options

  7.4 Basic Option Strategies

  8 Arbitrage in Option Pricing

  8.1 The Arbitrage Argument

  8.2 Relative Option Prices

  8.3 Put-Call Parity and Its Consequences

  8.4 Early Exercise of American Options

  8.5 Convexity of Option Prices

  8.6 The Option Portfolio Property

  9 Option Pricing Models

  9.1 Introduction

  9.2 The Binomial Option Pricing Model

  9.3 The Black-Scholes Formula

  9.4 Using the Black-Scholes Formula

  9.5 American Puts on a Non-Dividend-Paying Stock

  9.6 Options on a Stock that Pays Dividends

  9.7 Traversing the Tree Diagonally

  10 Sensitivity Analysis of Options

  10.1 Sensitivity Measures ("The Greeks")

  10.2 Numerical Techniques

  11 Extensions of Options Theory

  11.1 Corporate Securities

  11.2 Barrier Options

  11.3 Interest Rate Caps and Floors

  11.4 Stock Index Options

  11.5 Foreign Exchange Options

  11.6 Compound Options

  11.7 Path-Dependent Derivatives

  12 Forwards, Futures, Futures Options, Swaps

  12.1 Introduction

  12.2 Forward Contracts

  12.3 Futures Contracts

  12.4 Futures Options and Forward Options

  12.5 Swaps

  13 Stochastic Processes and Brownian Motion

  13.1 Stochastic Processes

  13.2 Martingales ("Fair Games")

  13.3 Brownian Motion

  13,4 Brownian Bridge

  14 Continuous-Time Financial Mathematics

  14.1 Stochastic Integrals

  14.2 Ito Processes

  14.3 Applications

  14.4 Financial Applications

  15 Continuous-Time Derivatives Pricing

  15.1 Partial Differential Equations

  15.2 The Black-Schotes Differential Equation

  15.3 Applications

  15.4 General Derivatives Pricing

  15.5 Stochastic Volatility

  16 Hedging

  16.1 Introduction

  16.2 Hedging and Futures

  16.3 Hedging and Options

  17 Trees

  17.1 Pricing Barrier Options with Combinatorial Methods

  17.2 Trinomial Tree Algorithms

  17.3 Pricing Multivariate Contingent Claims

  18 Numerical Methods

  18.1 Finite-Difference Methods

  18.2 Monte Carlo Simulation

  18.3 Quasi-Monte Carlo Methods

  19 Matrix Computation

  19.1 Fundamental Definitions and Results

  19.2 Least-Squares Problems

  19.3 Curve Fitting with Splines

  20 Time Series Analysis

  20.1 Introduction

  20.2 Conditional Variance Models for Price Volatility

  21 Interest Rate Derivative Securities

  21.1 Interest Rate Futures and Forwards

  21.2 Fixed-Income Options and Interest Rate Options

  21.3 Options on Interest Rate Futures

  21.4 Interest Rate Swaps

  22 Term Structure Fitting

  22.1 Introduction

  22.2 Linear Interpolation

  22.3 Ordinary Least Squares

  22.4 Splines

  22.5 The Nelson-Siegel Scheme

  23 Introduction to Term Structure Modeling

  23.1 Introduction

  23.2 The Binomial Interest Rate Tree

  23.3 Applications in Pricing and Hedging

  23.4 Volatility Term Structures

  24 Foundations of Term Structure Modeling

  24.1 Terminology

  24.2 Basic Relations

  24.3 Risk-Neutral Pricing

  24.4 The Term Structure Equation

  24.5 Forward-Rate Process

  24.6 The Binomial Model with Applications

  24.7 Black-Scholes Models

  25 Equilibrium Term Structure Models

  25.1 The Vasicek Model

  25.2 The Cox-Ingersoll-Ross Model

  25.3 Miscellaneous Models

  25.4 Model Calibration

  25.5 One-Factor Short Rate Models

  26 No-Arbitrage Term Structure Models

  26.1 Introduction

  26.2 The Ho-Lee Model

  26.3 The Black-Derman-Toy Model

  26.4 The Models According to Hull and White

  26.5 The Heath-Jarrow-Morton Model

  26.6 The Ritchken-Sankarasubramanian Model

  27 Fixed-Income Securities

  27.1 Introduction

  27.2 Treasury, Agency, and Municipal Bonds

  27.3 Corporate Bonds

  27.4 Valuation Methodologies

  27.5 Key Rate Durations

  28 Introduction to Mortgage-Backed Securities

  28.1 Introduction

  28.2 Mortgage Banking

  28.3 Agencies and Securitization

  28.4 Mortgage-Backed Securities

  28.5 Federal Agency Mortgage-Backed Securities Programs

  28.6 Prepayments

  29 Analysis of Mortgage-Backed Securities

  29.1 Cash Flow Analysis

  29.2 Collateral Prepayment Modeling

  29.3 Duration and Convexity

  29.4 Valuation Methodologies

  30 Collateralized Mortgage Obligations

  30.1 Introduction

  30.2 Floating-Rate Tranches

  30.3 PAC Bonds

  30.4 TAC Bonds

  30.5 CMO Strips

  30.6 Residuals

  31 Modern Portfolio Theory

  31.1 Mean-Variance Analysis of Risk and Return

  31.2 The Capital Asset Pricing Model

  31.3 Factor Models

  31.4 Value at Risk

  32 Software

  32.1 Web Programming

  32.2 Use of The Capitals Software

  32.3 Further Topics

  33 Answers to Selected Exercises

  Bibliography

  Glossary of Useful Notations

  Index

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