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內容簡介

　　卡莫納編著的《利率模型》內容介紹：The main goal of the book is to present, in a self-contained manner, the empirical facts needed to understand the sophisticated mathematical models developed by the financial mathematics community over the last decade. So after a very elementary introduction to the mechanics of the bond market,and a thorough statistical analysis of the data available to any curious spectator without any special inside track information, we gradually introduce the mathematical tools needed to analyze the stochastic models most widely used in the industry. Our point of view has been strongly influenced by recent works of Cont and his collaborators and the Ph.D. of Filipovid. They merge the original proposal of Musiela inviting us to rewrite the HJM model as a stochastic partial differential equation, together with Bjork's proposal to recast the HJM model in the framework of stochastic differential equations in a Baoach space.

目錄

Part Ⅰ The Term Structure of Interest Rates
Data and Instruments of the Term Structure of Interest Rates
1.1 Time Value of Money and Zero Coupon Bonds
1.1.1 Treasury Bills
1.1.2 Discount Factors and Interest Rates
1.2 Coupon Bearing Bonds
1.2.1 Treasury Notes and Treasury Bonds
1.2.2 The STRIPS Program
1.2.3 Clean Prices
1.3 Term Structure as Given by Curves
1.3.1 The Spot （Zero Coupon） Yield Curve
1.3.2 The Forward Rats Curve and Duration
1.3.3 Swap Rate Curves
1.4 Continuous Compounding and Market Conventions
1.4.1 Day Count Conventions
1.4.2 Compounding Conventions
1.4.3 Summary
1.5 Related Markets
1.5.1 Municipal Bonds
1.5.2 Indsx Linked Bonds
1.5.3 Corporate Bonds and Credit Markets
1.5.4 Tax Issues
1.5.5 Asset Backed Securities
1.6 Statistical Estimation of the Term Structure
1.6.1 Yield Curve Estimation
1.6.2 Parametric Estimation Procedures
1.6.3 Nonparametric Estimation Procedures
1.7 Principal Component Analysis
1.7.1 Principal Components of a Random Vector
1.7.2 Multivariate Data PCA
1.7.3 PCA of the Yield Curve
1.7.4 PCA of the Swap Rate Curve
Notes & Complements
Term Structure Factor Models
2.1 Factor Models for the Term Structure
2.2 Afllne Models
2.3 Short Rate Models as One-Factor Models
2.3.1 IncompleteneSs and Pricing
2.3.2 Specific Models
2.3.3 A PDE for Numerical Purposes
2.3.4 Explicit Pricing Formulae
2.3.5 Rigid Term Structures for Calibration
2.4 Term Structure Dynamics
2.4.1 The Heath Jarrow-Morton Framework
2.4.2 Hedging Contingent Claims
2.4.3 A Shortcoming of the Finite-Rank Models
2.4.4 The Musiela Notation
2.4.5 Random Field Formulation
2.5 Appendices
Notes & Complements
Part Ⅱ Infinite Dimensional Stochastic Analysis
Infinite Dimensional Integration Theory
3.1 Introduction
3.1.1 The Setting
3.1.2 Distributions of Gaussian Processes
3.2 Ganssian Measures in Banach Spaces and Examples
3.2.1 Integrability Properties
3.2.2 Isouormal Processes
3.3 Reproducing Kernel Hilbert Space
3.3.1 RKHS of Gaussian Processes
3.3.2 The RKHS of the Classical Wiener Measure
3.4 Topological Supports. Carriers. Equivalence and Singularity
3.4.1 Topological Supports of Gaussian Measures
3.4.2 Equivalence and Singularity of Gaussian Measures
3.5 Series Expansions
3.6 Cylindrical Measures
3.6.1 The Canonical （Ganssian） Cylindrical Measure
of a Hilbert Space
3.6.2 Integration with Respect to a Cylindrical Measure
3.6.3 Characteristic Functions and Bochner's Theorem
3.6.4 Radonification of Cylindrical Measures
3.7 Appendices
Notes & Complements
Stochastic Analysis in Infinite Dimensions
4.1 Infinite Dimensional Wiener Processes
4.1.1 Revisiting some Known Two-Parameter Processes
4.1.2 Bannch Space Valued Wiener Process
4.1.3 Sample Path Regularity
4.1.4 Absolute Continuity Issues
4.1.5 Series Expansions
4.2 Stochastic Integral and It6 Processes
4.2.1 The Case of E*- and H*-Valued Integrands
4.9.2 The Case of Operator Valued Integrands
4.2.3 Stochastic Convolutions
4.3 Martingale Representation Theorems
4.4 Girsanov's Theorem and Changes of Measures
4.5 Infinite Dimensional Ornstein Uhtenbeck Processes
4.5.1 Finite Dimensional OU Processes
4.5.2 Infinite Dimensional OU Processes
4.5.3 The SDE Approach in Infinite Dimensions
4.6 Stochastic Differential Equations
Notes & Complements
The Malliavin Calculus
5.1 The Malliavin Derivative
5.1.1 Various Notions of Differentiability
5.1.2 The Definition of the Malliavin Derivative
5.2 The Chain Rule
5.3 The Skorohod Integral
5.4 The Clark Ocone Formula
5.4.1 Sobolev and Logarithmic Sebolev Inequalities
5.5 Maniavin Derivatives and SDEs
5.5.1 Random Operators
5.5.2 A Useful Formula
5.6 Applications in Numerical Finance
5.6.1 Computation of the Delta
5.6.2 Computation of Conditional Expectations
Notes & Complements
Part Ⅲ Generalized Models for the Term Structure
6 General Models
6.1 Existence of a Bond Market
6.2 The HJM Evolution Equation
6.2.1 Function Spaces for Forward Curves
6.3 The Abstract HJM Model
6.3.1 Drift Condition and Absence of Arbitrage
6.3.2 Long Rates Never Fall
6.3.3 A Concrete Example
6.4 Geometry of the Term Structure Dynamics
6.4.1 The Consistency Problem
6.4.2 Finite Dimensional Realizations
6.5 Generalized Bond Portfolios
6.5.1 Models of the Discounted Bond Price Curve
6.5.2 Trading Strategies
6.5.3 Uniqueness of Hedging Strategies
6.5.4 Approximate Completeness of the Bond Market
6.5.5 Hedging Strategies for Lipscbitz Claims
Notes & Complements
7 Specific Models
7.1 Markovian HJM Models
7.1.1 Gaussian Markov Models
7.1.2 Assumptions on the State Space
7.1.3 Invariant Measures for Gauss-Markov HJM Models
7.1.4 Non-Uniqueness of the Invariant Measure
7.1.5 Asymptotic Behavior
7.1.6 The Short Rate is a Maximum on Average
7.2 SPDEs and Term Structure Models
7.2.1 The Deformation Process
7.2.2 A Model of the Deformation Process
7.2.3 Analysis of the SPDE
7.2.4 Regularity of the Solutions
7.3 Market Models
7.3.1 The Forward Measure
7.3.2 LIBOR Rates Revisited
Notes & Complements
References
Notation Index
Author Index
Subject Index

前言/序言

利率模型 下載 mobi epub pdf txt 電子書

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印刷不錯，內容還沒看。希望不錯。

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利率是經濟學中一個重要的金融變量，幾乎所有的金融現象、金融資産均與利率有著或多或少的聯係。當前，世界各國頻繁運用利率杠杆實施宏觀調控，利率政策已成為各國中央銀行調控貨幣供求，進而調控經濟的主要手段，利率政策在中央銀行貨幣政策中的地位越來越重要。閤理的利率，對發揮社會信用和利率的經濟杠杆作用有著重要的意義，而閤理利率的計算方法是我們關心的問題。

評分☆☆☆☆☆

多年來，經濟學傢一直在緻力於尋找一套能夠完全解釋利率結構和變化的理論，"古典學派"認為，利率是資本的價格，而資本的供給和需求決定 利率利率的變化；凱恩斯則把利率看作是"使用貨幣的代價"。馬剋思認為，利率是剩餘價值的一部分，是藉貸資本傢參與剩餘價值分配的一種錶現形式。利率通常由國傢的中央銀行控製，在美國由聯邦儲備委員會管理。現在，所有國傢都把利率作為宏觀經濟調控的重要工具之一。當經濟過熱、通貨膨脹上升時，便提高利率、收緊信貸；當過熱的經濟和通貨膨脹得到控製時，便會把利率適當地調低。因此，利率是重要的基本經濟因素之一。

評分☆☆☆☆☆

評分☆☆☆☆☆

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利率是藉款人需嚮其所藉金錢所支付的代價，亦是放款人延遲其消費，藉給藉款人所獲得的迴報。利率通常以一年期利息與本金的百分比計算。

評分☆☆☆☆☆

當前，世界各國頻繁運用利率杠杆實施宏觀調控，利率政策已成為各國中央銀行調控貨幣供求，進而調控經濟的主要手段，利率政策在中央銀行貨幣政策中的地位越來越重要。

評分☆☆☆☆☆

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