The Heath-Jarrow-Morton model with regime shifts and jumps priced

Robert J. Elliott, Tak Kuen Siu*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The Heath-Jarrow-Morton model is an important tool for describing the term structure of interest rates. A regime switching version was considered by Elliott and Siu (Quant Finance 16(12):1791–1800, 2016). It is of interest to price the risk due to the regime switching and this was discussed in Elliott and Siu (Quant Finance 16(12):1791–1800, 2016). In this paper, an extended Heath-Jarrow-Morton model for stochastic forward rates, incorporating both regime shifts and jumps is considered, where jumps in the forward rate dynamics are directly triggered by the regime switches. No-arbitrage drift conditions, which take into account the pricing of both the regime-switching and jump risks, are derived in two situations. The first situation starts with a risk-neutral measure while the second situation starts with the real-world measure.

Original languageEnglish
Title of host publicationNew methods in fixed income modeling
Subtitle of host publicationfixed income modeling
EditorsMehdi Mili, Reyes Samaniego Medina, Filippo di Pietro
Place of PublicationCham
PublisherSpringer, Springer Nature
Chapter3
Pages45-59
Number of pages15
ISBN (Electronic)9783319952857
ISBN (Print)9783319952840
DOIs
Publication statusPublished - 2018

Publication series

NameContributions to Management Science
ISSN (Print)1431-1941
ISSN (Electronic)2197-716X

Keywords

  • Forward rate processes
  • Heath-Jarrow-Morton model
  • Jumps
  • No-arbitrage drift conditions
  • Regime shifts

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    Elliott, R. J., & Siu, T. K. (2018). The Heath-Jarrow-Morton model with regime shifts and jumps priced. In M. Mili, R. S. Medina, & F. di Pietro (Eds.), New methods in fixed income modeling: fixed income modeling (pp. 45-59). (Contributions to Management Science). Cham: Springer, Springer Nature. https://doi.org/10.1007/978-3-319-95285-7_3