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The affine inflation market models

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  • Stefan Waldenberger

Abstract

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.

Suggested Citation

  • Stefan Waldenberger, 2017. "The affine inflation market models," Applied Mathematical Finance, Taylor & Francis Journals, vol. 24(4), pages 281-301, July.
    • Handle: RePEc:taf:apmtfi:v:24:y:2017:i:4:p:281-301
    DOI: 10.1080/1350486X.2017.1378582
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    Cited by:

    1. Letnyakov, Denis (Летняков, Денис), 2017. "Russia in the Post-Soviet Space: Resources and Instruments of 'Soft Power' [Россия В Постсоветском Пространстве: Ресурсы И Инструменты Политики «Мягкой Силы»]," Working Papers 051703, Russian Presidential Academy of National Economy and Public Administration.
    2. Flavia Antonacci & Cristina Costantini & Marco Papi, 2021. "Short-Term Interest Rate Estimation by Filtering in a Model Linking Inflation, the Central Bank and Short-Term Interest Rates," Mathematics, MDPI, vol. 9(10), pages 1-20, May.
    3. F. Antonacci & C. Costantini & F. D'Ippoliti & M. Papi, 2020. "Inflation, ECB and short-term interest rates: A new model, with calibration to market data," Papers 2010.05462, arXiv.org.

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