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  • © 2001

Consistency Problems for Heath-Jarrow-Morton Interest Rate Models

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1760)

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Table of contents (10 chapters)

  1. Front Matter

    Pages N2-VIII
  2. 1. Introduction

    • Damir Filipović
    Pages 1-11
  3. 2. Stochastic Equations in Infinite Dimensions

    • Damir Filipović
    Pages 13-27
  4. 3. Consistent State Space Processes

    • Damir Filipović
    Pages 29-56
  5. 4. The HJM Methodology Revisited

    • Damir Filipović
    Pages 57-73
  6. 5. The Forward Curve Spaces H w

    • Damir Filipović
    Pages 75-94
  7. 6. Invariant Manifolds for Stochastic Equations

    • Damir Filipović
    Pages 95-111
  8. 7. Consistent HJM Models

    • Damir Filipović
    Pages 113-125
  9. 8. Appendix: A Summary of Conditions

    • Damir Filipović
    Pages 127-128
  10. References

    • Damir Filipović
    Pages 129-131
  11. Index

    • Damir Filipović
    Pages 133-134
  12. Back Matter

    Pages 135-137

About this book

Bond markets differ in one fundamental aspect from standard stock markets. While the latter are built up to a finite number of trade assets, the underlying basis of a bond market is the entire term structure of interest rates: an infinite-dimensional variable which is not directly observable. On the empirical side, this necessitates curve-fitting methods for the daily estimation of the term structure. Pricing models, on the other hand, are usually built upon stochastic factors representing the term structure in a finite-dimensional state space. Written for readers with knowledge in mathematical finance (in particular interest rate theory) and elementary stochastic analysis, this research monograph has threefold aims: to bring together estimation methods and factor models for interest rates, to provide appropriate consistency conditions and to explore some important examples.

Bibliographic Information

Buy it now

Buying options

eBook USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 44.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access