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On The Martingale Property In Stochastic Volatility Models Based On Time-Homogeneous Diffusions

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  • Carole Bernard
  • Zhenyu Cui
  • Don McLeish

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  • Carole Bernard & Zhenyu Cui & Don McLeish, 2017. "On The Martingale Property In Stochastic Volatility Models Based On Time-Homogeneous Diffusions," Mathematical Finance, Wiley Blackwell, vol. 27(1), pages 194-223, January.
    • Handle: RePEc:bla:mathfi:v:27:y:2017:i:1:p:194-223
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    File URL: http://hdl.handle.net/10.1111/mafi.2017.27.issue-1
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    Citations

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    Cited by:

    1. Andrew Papanicolaou, 2021. "Extreme-Strike Comparisons and Structural Bounds for SPX and VIX Options," Papers 2101.00299, arXiv.org, revised Mar 2021.
    2. Robert Jarrow & Philip Protter, 2020. "Credit Risk, Liquidity, and Bubbles," International Review of Finance, International Review of Finance Ltd., vol. 20(3), pages 737-746, September.
    3. Zhenyu Cui & J. Lars Kirkby & Guanghua Lian & Duy Nguyen, 2017. "Integral Representation Of Probability Density Of Stochastic Volatility Models And Timer Options," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(08), pages 1-32, December.
    4. Cui, Zhenyu & Kirkby, J. Lars & Nguyen, Duy, 2021. "A data-driven framework for consistent financial valuation and risk measurement," European Journal of Operational Research, Elsevier, vol. 289(1), pages 381-398.
    5. Philip Protter & Aditi Dandapani, 2019. "Strict Local Martingales and the Khasminskii test for Explosions," Papers 1903.02383, arXiv.org.
    6. Cui, Zhenyu & Kirkby, J. Lars & Nguyen, Duy, 2021. "Efficient simulation of generalized SABR and stochastic local volatility models based on Markov chain approximations," European Journal of Operational Research, Elsevier, vol. 290(3), pages 1046-1062.
    7. Dan Pirjol & Lingjiong Zhu, 2017. "Asymptotics for the Euler-Discretized Hull-White Stochastic Volatility Model," Papers 1707.00899, arXiv.org.
    8. 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.
    9. Cui, Zhenyu & Lars Kirkby, J. & Nguyen, Duy, 2019. "A general framework for time-changed Markov processes and applications," European Journal of Operational Research, Elsevier, vol. 273(2), pages 785-800.
    10. Dandapani, Aditi & Protter, Philip, 2022. "Strict local martingales and the Khasminskii test for explosions," Stochastic Processes and their Applications, Elsevier, vol. 150(C), pages 716-728.
    11. Dan Pirjol & Lingjiong Zhu, 2020. "Asymptotics of the time-discretized log-normal SABR model: The implied volatility surface," Papers 2001.09850, arXiv.org, revised Mar 2020.
    12. Giorgio Ferrari & Tiziano Vargiolu, 2020. "On the singular control of exchange rates," Annals of Operations Research, Springer, vol. 292(2), pages 795-832, September.
    13. David Criens, 2018. "No Arbitrage in Continuous Financial Markets," Papers 1809.09588, arXiv.org, revised Feb 2020.
    14. Dan Pirjol & Lingjiong Zhu, 2018. "Asymptotics for the Euler-Discretized Hull-White Stochastic Volatility Model," Methodology and Computing in Applied Probability, Springer, vol. 20(1), pages 289-331, March.
    15. Corsaro, Stefania & Kyriakou, Ioannis & Marazzina, Daniele & Marino, Zelda, 2019. "A general framework for pricing Asian options under stochastic volatility on parallel architectures," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1082-1095.

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