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Pricing inflation-indexed derivatives

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  • Fabio Mercurio

Abstract

In this article, we start by briefly reviewing the approach proposed by Jarrow and Yildirim for modelling inflation and nominal rates in a consistent way. Their methodology is applied to the pricing of general inflation-indexed swaps and options. We then introduce two different market model approaches to price inflation swaps, caps and floors. Analytical formulae are explicitly derived. Finally, an example of calibration to swap market data is considered.

Suggested Citation

  • Fabio Mercurio, 2005. "Pricing inflation-indexed derivatives," Quantitative Finance, Taylor & Francis Journals, vol. 5(3), pages 289-302.
    • Handle: RePEc:taf:quantf:v:5:y:2005:i:3:p:289-302
    DOI: 10.1080/14697680500148851
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Hinnerich, Mia, 2008. "Inflation-indexed swaps and swaptions," Journal of Banking & Finance, Elsevier, vol. 32(11), pages 2293-2306, November.
    2. Consiglio, Andrea & Zenios, Stavros A., 2015. "The Case for Contingent Convertible Debt for Sovereignst," Working Papers 15-13, University of Pennsylvania, Wharton School, Weiss Center.
    3. Kitsul, Yuriy & Wright, Jonathan H., 2013. "The economics of options-implied inflation probability density functions," Journal of Financial Economics, Elsevier, vol. 110(3), pages 696-711.
    4. M. Martin Boyer & Lars Stentoft, 2017. "Yes We Can (Price Derivatives on Survivor Indices)," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 20(1), pages 37-62, March.
    5. Gimeno, Ricardo & Ibáñez, Alfredo, 2018. "The eurozone (expected) inflation: An option's eyes view," Journal of International Money and Finance, Elsevier, vol. 86(C), pages 70-92.
    6. Robert Jarrow & Philip Protter, 2011. "Foreign currency bubbles," Review of Derivatives Research, Springer, vol. 14(1), pages 67-83, April.
    7. Henrik Dam & Andrea Macrina & David Skovmand & David Sloth, 2018. "Rational Models for Inflation-Linked Derivatives," Papers 1801.08804, arXiv.org, revised Jul 2020.
    8. Andrea Macrina & Priyanka A. Parbhoo, 2010. "Security Pricing with Information-Sensitive Discounting," Papers 1001.3570, arXiv.org, revised Jun 2010.
    9. Andrea Macrina & Priyanka A. Parbhoo, 2010. "Securities Pricing with Information-Sensitive Discounting," KIER Working Papers 695, Kyoto University, Institute of Economic Research.
    10. Stefan Waldenberger, 2015. "The affine inflation market models," Papers 1503.04979, arXiv.org.
    11. Ho, Hsiao-Wei & Huang, Henry H. & Yildirim, Yildiray, 2014. "Affine model of inflation-indexed derivatives and inflation risk premium," European Journal of Operational Research, Elsevier, vol. 235(1), pages 159-169.
    12. Tiong, Serena, 2013. "Pricing inflation-linked variable annuities under stochastic interest rates," Insurance: Mathematics and Economics, Elsevier, vol. 52(1), pages 77-86.
    13. Marc Henrard, 2005. "Inflation bond option pricing in Jarrow-Yildirim model," Finance 0510027, University Library of Munich, Germany.
    14. 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.
    15. John Crosby, 2008. "Pricing a class of exotic commodity options in a multi-factor jump-diffusion model," Quantitative Finance, Taylor & Francis Journals, vol. 8(5), pages 471-483.

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