Consistency Problems for Heath-Jarrow-Morton Interest Rate Models (Lecture Notes in Mathematics, #1760)

by Damir Filipovic

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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.
  • ISBN10 354044548X
  • ISBN13 9783540445487
  • Publish Date 1 September 2006 (first published 27 March 2001)
  • Publish Status Active
  • Publish Country US
  • Imprint Springer
  • Format eBook
  • Language English