The affine inflation market models

Stefan Waldenberger*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Interest rate market models, such as the LIBOR market model, have the advantage that the basic model quantities are directly observable in financial markets. Inflation market models extend this approach to inflation markets, where two types of swaps, zero-coupon and year-on-year inflation-indexed swaps, are the basic observable products. For inflation market models considered so far, closed formulas exist for only one type of swap, but not for both. The model in this paper uses affine processes in such a way that prices for both types of swaps can be calculated explicitly. Furthermore, call and put options on both types of swap rates can be calculated using one-dimensional Fourier inversion formulas. Using the derived formulas, we present an example calibration to market data.

Original languageEnglish
Pages (from-to)281-301
Number of pages21
JournalApplied Mathematical Finance
Issue number4
Publication statusPublished - 4 Jul 2017


  • affine processes
  • inflation options
  • Market models

ASJC Scopus subject areas

  • Finance
  • Applied Mathematics


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