Author: Rajna Gibson
Publisher: Now Publishers Inc
ISBN: 1601983727
Category : Business & Economics
Languages : en
Pages : 171
Book Description
Modeling the Term Structure of Interest Rates provides a comprehensive review of the continuous-time modeling techniques of the term structure applicable to value and hedge default-free bonds and other interest rate derivatives.
Modeling the Term Structure of Interest Rates
Author: Rajna Gibson
Publisher: Now Publishers Inc
ISBN: 1601983727
Category : Business & Economics
Languages : en
Pages : 171
Book Description
Modeling the Term Structure of Interest Rates provides a comprehensive review of the continuous-time modeling techniques of the term structure applicable to value and hedge default-free bonds and other interest rate derivatives.
Publisher: Now Publishers Inc
ISBN: 1601983727
Category : Business & Economics
Languages : en
Pages : 171
Book Description
Modeling the Term Structure of Interest Rates provides a comprehensive review of the continuous-time modeling techniques of the term structure applicable to value and hedge default-free bonds and other interest rate derivatives.
Term-Structure Models
Author: Damir Filipovic
Publisher: Springer Science & Business Media
ISBN: 3540680152
Category : Mathematics
Languages : en
Pages : 259
Book Description
Changing interest rates constitute one of the major risk sources for banks, insurance companies, and other financial institutions. Modeling the term-structure movements of interest rates is a challenging task. This volume gives an introduction to the mathematics of term-structure models in continuous time. It includes practical aspects for fixed-income markets such as day-count conventions, duration of coupon-paying bonds and yield curve construction; arbitrage theory; short-rate models; the Heath-Jarrow-Morton methodology; consistent term-structure parametrizations; affine diffusion processes and option pricing with Fourier transform; LIBOR market models; and credit risk. The focus is on a mathematically straightforward but rigorous development of the theory. Students, researchers and practitioners will find this volume very useful. Each chapter ends with a set of exercises, that provides source for homework and exam questions. Readers are expected to be familiar with elementary Itô calculus, basic probability theory, and real and complex analysis.
Publisher: Springer Science & Business Media
ISBN: 3540680152
Category : Mathematics
Languages : en
Pages : 259
Book Description
Changing interest rates constitute one of the major risk sources for banks, insurance companies, and other financial institutions. Modeling the term-structure movements of interest rates is a challenging task. This volume gives an introduction to the mathematics of term-structure models in continuous time. It includes practical aspects for fixed-income markets such as day-count conventions, duration of coupon-paying bonds and yield curve construction; arbitrage theory; short-rate models; the Heath-Jarrow-Morton methodology; consistent term-structure parametrizations; affine diffusion processes and option pricing with Fourier transform; LIBOR market models; and credit risk. The focus is on a mathematically straightforward but rigorous development of the theory. Students, researchers and practitioners will find this volume very useful. Each chapter ends with a set of exercises, that provides source for homework and exam questions. Readers are expected to be familiar with elementary Itô calculus, basic probability theory, and real and complex analysis.
Building and Using Dynamic Interest Rate Models
Author: Ken O. Kortanek
Publisher: John Wiley & Sons
ISBN:
Category : Business & Economics
Languages : en
Pages : 248
Book Description
This book offers a new approach to interest rate and modeling term structure by using models based on optimization of dynamical systems, rather than the traditional stochastic differential equation models. The authors use dynamic models to estimate the term structure of interest rates and show the reader how to build their own numerical simulations. It includes software that will enable readers to simulate the various models covered in the book.
Publisher: John Wiley & Sons
ISBN:
Category : Business & Economics
Languages : en
Pages : 248
Book Description
This book offers a new approach to interest rate and modeling term structure by using models based on optimization of dynamical systems, rather than the traditional stochastic differential equation models. The authors use dynamic models to estimate the term structure of interest rates and show the reader how to build their own numerical simulations. It includes software that will enable readers to simulate the various models covered in the book.
Interest Rate Modeling
Author: Leif B. G. Andersen
Publisher:
ISBN: 9780984422104
Category : Business & Economics
Languages : en
Pages : 1154
Book Description
"The three volumes of Interest rate modeling are aimed primarily at practitioners working in the area of interest rate derivatives, but much of the material is quite general and, we believe, will also hold significant appeal to researchers working in other asset classes. Students and academics interested in financial engineering and applied work will find the material particularly useful for its description of real-life model usage and for its expansive discussion of model calibration, approximation theory, and numerical methods."--Preface.
Publisher:
ISBN: 9780984422104
Category : Business & Economics
Languages : en
Pages : 1154
Book Description
"The three volumes of Interest rate modeling are aimed primarily at practitioners working in the area of interest rate derivatives, but much of the material is quite general and, we believe, will also hold significant appeal to researchers working in other asset classes. Students and academics interested in financial engineering and applied work will find the material particularly useful for its description of real-life model usage and for its expansive discussion of model calibration, approximation theory, and numerical methods."--Preface.
Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective
Author: René Carmona
Publisher: Springer Science & Business Media
ISBN: 3540270671
Category : Mathematics
Languages : en
Pages : 236
Book Description
This book presents the mathematical issues that arise in modeling the interest rate term structure by casting the interest-rate models as stochastic evolution equations in infinite dimensions. The text includes a crash course on interest rates, a self-contained introduction to infinite dimensional stochastic analysis, and recent results in interest rate theory. From the reviews: "A wonderful book. The authors present some cutting-edge math." --WWW.RISKBOOK.COM
Publisher: Springer Science & Business Media
ISBN: 3540270671
Category : Mathematics
Languages : en
Pages : 236
Book Description
This book presents the mathematical issues that arise in modeling the interest rate term structure by casting the interest-rate models as stochastic evolution equations in infinite dimensions. The text includes a crash course on interest rates, a self-contained introduction to infinite dimensional stochastic analysis, and recent results in interest rate theory. From the reviews: "A wonderful book. The authors present some cutting-edge math." --WWW.RISKBOOK.COM
Modeling the Term Structure of Interest Rates
Author: Francois Lhabitant
Publisher:
ISBN:
Category :
Languages : en
Pages : 97
Book Description
The last two decades have seen the development of a profusion of theoretical models of the term structure of interest rates. This study provides a general overview and a comprehensive comparative study of the most popular ones among both academics and practitioners. It also discusses their respective advantages and disadvantages in terms of bond and/or interest rate contingent claims continuous time valuation or hedging, parameter estimation, and calibration. Finally, it proposes a unified approach for model risk assessment. Despite the relatively complex mathematics involved, financial intuition rather then mathematical rigour is emphasised throughout. The classification by means of general characteristics should enable the understanding of the different features of each model, facilitate the choice of a model in specific theoretical or empirical circumstances, and allows the testing of various models with nested as well as non-nested specifications.
Publisher:
ISBN:
Category :
Languages : en
Pages : 97
Book Description
The last two decades have seen the development of a profusion of theoretical models of the term structure of interest rates. This study provides a general overview and a comprehensive comparative study of the most popular ones among both academics and practitioners. It also discusses their respective advantages and disadvantages in terms of bond and/or interest rate contingent claims continuous time valuation or hedging, parameter estimation, and calibration. Finally, it proposes a unified approach for model risk assessment. Despite the relatively complex mathematics involved, financial intuition rather then mathematical rigour is emphasised throughout. The classification by means of general characteristics should enable the understanding of the different features of each model, facilitate the choice of a model in specific theoretical or empirical circumstances, and allows the testing of various models with nested as well as non-nested specifications.
The Term Structure of Interest Rates
Author: David Meiselman
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 96
Book Description
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 96
Book Description
The Term Structure of Interest Rates
Author: R. S. Masera
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 232
Book Description
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 232
Book Description
Modeling the Term Structure of Interest Rates
Author: Stan Maes
Publisher:
ISBN:
Category :
Languages : en
Pages : 54
Book Description
This paper provides an introduction to the mathematical models that describe the shape of the term structure of interest rates across time. In essence, all these so-called term structure models are driven by the assumption that arbitrage opportunities are absent. The intuitive concept of absence of arbitrage can be linked directly to the existence of a pricing kernel and a risk neutral probability measure. The latter concepts are at the heart of the finance literature and play a unifying role in it. Moreover, by assuming that the state of the economy is well-described by factors that follow diffusion dynamics, factor-dependent expressions for prices and yields can be derived. Typically and for reasons of tractability, additional model assumptions are imposed on the factor dynamics, giving rise to the so-called affine class of term structure models. We discuss the fundamental trade-off between empirical flexibility and theoretical rigor that applies to all models within the affine class of term structure models. Recently, the class of quadratic term structure models has been proposed and seems to outperform the affine class in terms of matching the economic moments of the yield curve. However, given the lack of uniform data samples and the widely differing estimation methods, much robustness work remains to be done.
Publisher:
ISBN:
Category :
Languages : en
Pages : 54
Book Description
This paper provides an introduction to the mathematical models that describe the shape of the term structure of interest rates across time. In essence, all these so-called term structure models are driven by the assumption that arbitrage opportunities are absent. The intuitive concept of absence of arbitrage can be linked directly to the existence of a pricing kernel and a risk neutral probability measure. The latter concepts are at the heart of the finance literature and play a unifying role in it. Moreover, by assuming that the state of the economy is well-described by factors that follow diffusion dynamics, factor-dependent expressions for prices and yields can be derived. Typically and for reasons of tractability, additional model assumptions are imposed on the factor dynamics, giving rise to the so-called affine class of term structure models. We discuss the fundamental trade-off between empirical flexibility and theoretical rigor that applies to all models within the affine class of term structure models. Recently, the class of quadratic term structure models has been proposed and seems to outperform the affine class in terms of matching the economic moments of the yield curve. However, given the lack of uniform data samples and the widely differing estimation methods, much robustness work remains to be done.
Modeling the Term Structure of Interest Rates Across Countries
Author: Stan Maes
Publisher: LAP Lambert Academic Publishing
ISBN: 9783838301181
Category :
Languages : en
Pages : 264
Book Description
An understanding of the stochastic behaviour of yields is important for the conduct of monetary policy, the financing of public debt, the expectations of real economic activity and inflation, the risk management of a portfolio of securities, and the valuation of interest rate derivatives. It is, therefore, not surprising that the study of yield curve dynamics is occupying such a prominent and unique place in theoretical and empirical macroeconomics and finance.
Publisher: LAP Lambert Academic Publishing
ISBN: 9783838301181
Category :
Languages : en
Pages : 264
Book Description
An understanding of the stochastic behaviour of yields is important for the conduct of monetary policy, the financing of public debt, the expectations of real economic activity and inflation, the risk management of a portfolio of securities, and the valuation of interest rate derivatives. It is, therefore, not surprising that the study of yield curve dynamics is occupying such a prominent and unique place in theoretical and empirical macroeconomics and finance.