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☆☆☆☆☆

[美] 卡莫納 著

齣版社： 世界圖書齣版公司

ISBN：9787510052774

版次：1

商品編碼：11181634

包裝：平裝

開本：24開

齣版時間：2013-01-01

頁數：235

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

評分☆☆☆☆☆

在蕭條時期，降低利息率，擴大貨幣供應，刺激經濟發展。在膨脹時期，提高利息率，減少貨幣供應，抑製經濟的惡性發展。所以，利率對我們的生活有很大的影響。

評分☆☆☆☆☆

評分☆☆☆☆☆

利率

評分☆☆☆☆☆

此外還有承諾交付貨幣的時間長度以及所承擔風險的程度。利息率政策是宏觀貨幣政策的主要措施，政府為瞭乾預經濟，可通過變動利息率的辦法來間接調節國內通貨膨脹水平。

評分☆☆☆☆☆

凱恩斯認為儲蓄和投資是兩個相互依賴的變量，而不是兩個獨立的變量。在他的理論中，貨幣供應由中央銀行控製，是沒有利率彈性的外生變量。此時貨幣需求就取決於人們心理上的“流動性偏好”。而後産生的可貸資金利率理論是新古典學派的利率理論，是為修正凱恩斯的“流動性偏好”利率理論而提齣的。在某種程度上，可貸資金利率理論實際上可看成古典利率理論和凱恩斯理論的一種綜閤。

評分☆☆☆☆☆

利率

評分☆☆☆☆☆

評分☆☆☆☆☆

馬剋思的利率決定理論是從利息的來源和實質的角度，考慮瞭製度因素在利率決定中的作用的利率理論，其理論核心是利率是由平均利潤率決定的。馬剋思認為在資本主義製度下,利息是利潤的一部分,是剩餘價值的一種轉換形式。利息的獨立化，對於真正顯示資金使用者在再生産過程中所起的能動作用有積極意義。

評分☆☆☆☆☆

馬剋思的利率決定理論是從利息的來源和實質的角度，考慮瞭製度因素在利率決定中的作用的利率理論，其理論核心是利率是由平均利潤率決定的。馬剋思認為在資本主義製度下,利息是利潤的一部分,是剩餘價值的一種轉換形式。利息的獨立化，對於真正顯示資金使用者在再生産過程中所起的能動作用有積極意義。