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Time-inhomogeneous affine processes

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  • Filipovic, Damir

Abstract

Affine processes are distinguished by their rich structural properties, which makes them favorite when it comes to computations in financial applications of all kind. This fact has been explored and illustrated for the time-homogeneous case in a recent paper by Duffie, Filipovic and Schachermayer. However, there are many situations which require time-dependent parameters, such as when it comes to model calibration. This paper provides a rigorous treatment and complete characterization of time-inhomogeneous affine processes.

Suggested Citation

  • Filipovic, Damir, 2005. "Time-inhomogeneous affine processes," Stochastic Processes and their Applications, Elsevier, vol. 115(4), pages 639-659, April.
    • Handle: RePEc:eee:spapps:v:115:y:2005:i:4:p:639-659
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    References listed on IDEAS

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    1. Yoosef Maghsoodi, 1996. "Solution Of The Extended Cir Term Structure And Bond Option Valuation," Mathematical Finance, Wiley Blackwell, vol. 6(1), pages 89-109, January.
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    Cited by:

    1. Nicola Bruti-Liberati & Christina Nikitopoulos-Sklibosios & Eckhard Platen, 2010. "Real-world jump-diffusion term structure models," Quantitative Finance, Taylor & Francis Journals, vol. 10(1), pages 23-37.
    2. Christa Cuchiero & Luca Di Persio & Francesco Guida & Sara Svaluto-Ferro, 2022. "Measure-valued processes for energy markets," Papers 2210.09331, arXiv.org.
    3. Stefan Waldenberger & Wolfgang Muller, 2015. "Affine LIBOR models driven by real-valued affine processes," Papers 1503.00864, arXiv.org.
    4. Stefan Waldenberger, 2015. "The affine inflation market models," Papers 1503.04979, arXiv.org.
    5. Aleš Černý & Jan Kallsen, 2008. "Mean–Variance Hedging And Optimal Investment In Heston'S Model With Correlation," Mathematical Finance, Wiley Blackwell, vol. 18(3), pages 473-492, July.
    6. Nelson Vadori & Anatoliy Swishchuk, 2019. "Inhomogeneous Random Evolutions: Limit Theorems and Financial Applications," Mathematics, MDPI, vol. 7(5), pages 1-62, May.
    7. Leunglung Chan & Eckhard Platen, 2016. "Pricing of long dated equity-linked life insurance contracts," Published Paper Series 2016-5, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    8. Schrager, David F., 2006. "Affine stochastic mortality," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 81-97, February.
    9. Gonon, Lukas & Teichmann, Josef, 2020. "Linearized filtering of affine processes using stochastic Riccati equations," Stochastic Processes and their Applications, Elsevier, vol. 130(1), pages 394-430.

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    Keywords

    Affine processes Time-inhomogeneity;

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