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A note on the CIR process and the existence of equivalent martingale measures

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  • Guo, Zhi Jun

Abstract

This note shows that in a model where historical stock price follows a Cox-Ingersoll-Ross process, an equivalent martingale measure does not exist except when k[theta]=0.

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  • Guo, Zhi Jun, 2008. "A note on the CIR process and the existence of equivalent martingale measures," Statistics & Probability Letters, Elsevier, vol. 78(5), pages 481-487, April.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:5:p:481-487
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    References listed on IDEAS

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    1. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
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    4. C. F. Lo & P. H. Yuen & C. H. Hui, 2000. "Constant Elasticity Of Variance Option Pricing Model With Time-Dependent Parameters," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 3(04), pages 661-674.
    5. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
    6. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    7. Dmitry Davydov & Vadim Linetsky, 2003. "Pricing Options on Scalar Diffusions: An Eigenfunction Expansion Approach," Operations Research, INFORMS, vol. 51(2), pages 185-209, April.
    8. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    9. Damiano Brigo & Aurélien Alfonsi, 2005. "Credit default swap calibration and derivatives pricing with the SSRD stochastic intensity model," Finance and Stochastics, Springer, vol. 9(1), pages 29-42, January.
    10. Schroder, Mark Douglas, 1989. " Computing the Constant Elasticity of Variance Option Pricing Formula," Journal of Finance, American Finance Association, vol. 44(1), pages 211-219, March.
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    Cited by:

    1. Makasu, Cloud, 2008. "On mean exit time from a curvilinear domain," Statistics & Probability Letters, Elsevier, vol. 78(17), pages 2859-2863, December.
    2. Marc Mukendi Mpanda & Safari Mukeru & Mmboniseni Mulaudzi, 2020. "Generalisation of Fractional-Cox-Ingersoll-Ross Process," Papers 2008.07798, arXiv.org, revised Jul 2022.
    3. Sascha Desmettre & Gunther Leobacher & L. C. G. Rogers, 2021. "Change of drift in one-dimensional diffusions," Finance and Stochastics, Springer, vol. 25(2), pages 359-381, April.
    4. Sascha Desmettre & Gunther Leobacher & L. C. G. Rogers, 2019. "Change of drift in one-dimensional diffusions," Papers 1910.11904, arXiv.org, revised Dec 2020.

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