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Long time behaviour of stochastic interest rate models

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  • Zhao, Juan

Abstract

In this paper, we study the long time behaviour of two classes of stochastic interest rate models. Suppose that x(t) is a one-factor interest rate model with positive jumps. For a suitable constant we prove that converges almost surely as t-->[infinity]. A similar result is also proved for a two-factor affine model.

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  • Zhao, Juan, 2009. "Long time behaviour of stochastic interest rate models," Insurance: Mathematics and Economics, Elsevier, vol. 44(3), pages 459-463, June.
    • Handle: RePEc:eee:insuma:v:44:y:2009:i:3:p:459-463
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    References listed on IDEAS

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    1. Griselda Deelstra & Freddy Delbaen, 1998. "Long-term returns in stochastic interest rate models: different convergence results," ULB Institutional Repository 2013/7582, ULB -- Universite Libre de Bruxelles.
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    7. Griselda Deelstra & Freddy Delbaen, 1995. "Long-term returns in stochastic interest rate models," ULB Institutional Repository 2013/7578, ULB -- Universite Libre de Bruxelles.
    8. Deelstra, Griselda, 2000. "Long-Term Returns in Stochastic Interest Rate Models: Applications," ASTIN Bulletin, Cambridge University Press, vol. 30(1), pages 123-140, May.
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    Cited by:

    1. Hess, Markus, 2017. "Modeling positive electricity prices with arithmetic jump-diffusions," Energy Economics, Elsevier, vol. 67(C), pages 496-507.
    2. Novriana Sumarti & Iman Gunadi, 2013. "Reserve Requirement Analysis using a Dynamical System of a Bank based on Monti-Klein model of Bank's Profit Function," Papers 1306.0468, arXiv.org.
    3. Bao, Jianhai & Yuan, Chenggui, 2013. "Long-term behavior of stochastic interest rate models with jumps and memory," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 266-272.
    4. Jan de Kort, 2018. "A note on the long rate in factor models of the term structure," Mathematical Finance, Wiley Blackwell, vol. 28(2), pages 656-667, April.
    5. Zhang, Zhenzhong & Tong, Jinying & Hu, Liangjian, 2016. "Long-term behavior of stochastic interest rate models with Markov switching," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 320-326.
    6. Ji, Huijie & Xi, Fubao, 2022. "The tail behavior of jump-diffusion Cox–Ingersoll–Ross processes with regime-switching," Statistics & Probability Letters, Elsevier, vol. 181(C).

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