Interest Rate Models
eBook - PDF

Interest Rate Models

An Introduction

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Interest Rate Models

An Introduction

About this book

The field of financial mathematics has developed tremendously over the past thirty years, and the underlying models that have taken shape in interest rate markets and bond markets, being much richer in structure than equity-derivative models, are particularly fascinating and complex. This book introduces the tools required for the arbitrage-free modelling of the dynamics of these markets. Andrew Cairns addresses not only seminal works but also modern developments. Refreshingly broad in scope, covering numerical methods, credit risk, and descriptive models, and with an approachable sequence of opening chapters, Interest Rate Models will make readers--be they graduate students, academics, or practitioners--confident enough to develop their own interest rate models or to price nonstandard derivatives using existing models.


The mathematical chapters begin with the simple binomial model that introduces many core ideas. But the main chapters work their way systematically through all of the main developments in continuous-time interest rate modelling. The book describes fully the broad range of approaches to interest rate modelling: short-rate models, no-arbitrage models, the Heath-Jarrow-Morton framework, multifactor models, forward measures, positive-interest models, and market models. Later chapters cover some related topics, including numerical methods, credit risk, and model calibration. Significantly, the book develops the martingale approach to bond pricing in detail, concentrating on risk-neutral pricing, before later exploring recent advances in interest rate modelling where different pricing measures are important.

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Yes, you can access Interest Rate Models by Andrew J. G. Cairns in PDF and/or ePUB format, as well as other popular books in Business & Finance. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Contents
  5. Preface
  6. Acknowledgements
  7. 1 Introduction to Bond Markets
  8. 2 Arbitrage-Free Pricing
  9. 3 Discrete-Time Binomial Models
  10. 4 Continuous-Time Interest Rate Models
  11. 5 No-Arbitrage Models
  12. 6 Multifactor Models
  13. 7 The Forward-Measure Approach
  14. 8 Positive Interest
  15. 9 Market Models
  16. 10 Numerical Methods
  17. 11 Credit Risk
  18. 12 Model Calibration
  19. Appendix A: Summary of Key Probability and SDE Theory
  20. Appendix B: The Vasicek and CIR Models: Proofs
  21. References
  22. Index