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Forward-backward SDEs and the CIR model

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  • Hyndman, Cody Blaine

Abstract

We consider a forward-backward stochastic differential equation associated with the bond price for the Cox-Ingersoll-Ross interest rate model and prove an existence and uniqueness result. This technique is generalizable to multidimensional affine term structure models.

Suggested Citation

  • Hyndman, Cody Blaine, 2007. "Forward-backward SDEs and the CIR model," Statistics & Probability Letters, Elsevier, vol. 77(17), pages 1676-1682, November.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:17:p:1676-1682
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    References listed on IDEAS

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    1. Cox, John C. & Ingersoll Junior, Jonathan E. & Ross, Stephen A., 2007. "A theory of the term structure of interest rates," RAE - Revista de Administração de Empresas, FGV-EAESP Escola de Administração de Empresas de São Paulo (Brazil), vol. 47(2), April.
    2. N. El Karoui & S. Peng & M. C. Quenez, 1997. "Backward Stochastic Differential Equations in Finance," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 1-71, January.
    3. Darrell Duffie & Rui Kan, 1996. "A Yield‐Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406, October.
    4. Robert J. Elliott & John van der Hoek, 2001. "Stochastic flows and the forward measure," Finance and Stochastics, Springer, vol. 5(4), pages 511-525.
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    Cited by:

    1. Renjie Wang & Cody Hyndman & Anastasis Kratsios, 2015. "The Entropic Measure Transform," Papers 1511.06032, arXiv.org, revised Feb 2019.

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