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Normal mixture diffusion with uncertain volatility: Modelling short- and long-term smile effects

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  • Alexander, Carol

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  • Alexander, Carol, 2004. "Normal mixture diffusion with uncertain volatility: Modelling short- and long-term smile effects," Journal of Banking & Finance, Elsevier, vol. 28(12), pages 2957-2980, December.
  • Handle: RePEc:eee:jbfina:v:28:y:2004:i:12:p:2957-2980
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    Cited by:

    1. Masakazu Miura & Kenichiro Tamaki & Takayuki Shiohama, 2013. "Asymptotic Expansion for Term Structures of Defaultable Bonds with Non-Gaussian Dependent Innovations," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 20(4), pages 311-344, November.
    2. Rania Hentati & Jean-Luc Prigent, 2011. "Portfolio Optimization Within Mixture Of Distributions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00607105, HAL.
    3. Xin Liu, 2016. "Asset Pricing with Random Volatility," Papers 1610.01450, arXiv.org, revised Sep 2018.
    4. Pål Nicolai Henriksen, 2011. "Pricing barrier options by a regime switching model," Quantitative Finance, Taylor & Francis Journals, vol. 11(8), pages 1221-1231.
    5. Emese Lazar & Carol Alexander, 2006. "Normal mixture GARCH(1,1): applications to exchange rate modelling," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(3), pages 307-336.
    6. Eugenia Sanin, María & Violante, Francesco & Mansanet-Bataller, María, 2015. "Understanding volatility dynamics in the EU-ETS market," Energy Policy, Elsevier, vol. 82(C), pages 321-331.
    7. Dinghai Xu, 2009. "The Applications of Mixtures of Normal Distributions in Empirical Finance: A Selected Survey," Working Papers 0904, University of Waterloo, Department of Economics, revised Sep 2009.
    8. Carol Alexander & Andrew Scourse, 2004. "Bivariate normal mixture spread option valuation," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 637-648.
    9. Hentati-Kaffel, R. & Prigent, J.-L., 2016. "Optimal positioning in financial derivatives under mixture distributions," Economic Modelling, Elsevier, vol. 52(PA), pages 115-124.
    10. Seiji Harikae & James S. Dyer & Tianyang Wang, 2021. "Valuing Real Options in the Volatile Real World," Production and Operations Management, Production and Operations Management Society, vol. 30(1), pages 171-189, January.
    11. Osazee Godwin Omorokunwa & Nosakhare Ikponmwosa, 2014. "Macroeconomic variables and stock price volatility in Nigeria," Annals of the University of Petrosani, Economics, University of Petrosani, Romania, vol. 14(1), pages 259-268.
    12. Donald Aingworth & Sanjiv Das & Rajeev Motwani, 2006. "A simple approach for pricing equity options with Markov switching state variables," Quantitative Finance, Taylor & Francis Journals, vol. 6(2), pages 95-105.
    13. Jiro Hodoshima & Toshiyuki Yamawake, 2020. "The Aumann–Serrano Performance Index for Multi-Period Gambles in Stock Data," JRFM, MDPI, vol. 13(11), pages 1-18, November.
    14. Carol Alexander & Leonardo M. Nogueira, 2004. "Hedging with Stochastic and Local Volatility," ICMA Centre Discussion Papers in Finance icma-dp2004-10, Henley Business School, University of Reading, revised Dec 2004.
    15. Hodoshima, Jiro & Misawa, Tetsuya & Miyahara, Yoshio, 2018. "Comparison of utility indifference pricing and mean-variance approach under normal mixture," Finance Research Letters, Elsevier, vol. 24(C), pages 221-229.
    16. En-Der Su & Feng-Jeng Lin, 2012. "Two-State Volatility Transition Pricing and Hedging of TXO Options," Computational Economics, Springer;Society for Computational Economics, vol. 39(3), pages 259-287, March.
    17. Hentati Rania & Prigent Jean-Luc, 2011. "On the maximization of financial performance measures within mixture models," Statistics & Risk Modeling, De Gruyter, vol. 28(1), pages 63-80, March.
    18. Natasha Latif & Shafqat Ali Shad & Muhammad Usman & Chandan Kumar & Bahman B Motii & MD Mahfuzer Rahman & Khuram Shafi & Zahra Idrees, 2023. "Pragmatic Comparison Analysis of Alternative Option Pricing Models," Papers 2309.09890, arXiv.org.
    19. Hodoshima, Jiro & Yamawake, Toshiyuki, 2019. "Comparison of utility indifference pricing and mean-variance approach under a normal mixture distribution with time-varying volatility," Finance Research Letters, Elsevier, vol. 28(C), pages 74-81.
    20. Jiro Hodoshima & Toshiyuki Yamawake, 2022. "Comparing Dynamic and Static Performance Indexes in the Stock Market: Evidence From Japan," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 29(2), pages 171-193, June.
    21. Douglas Cumming & Lars Helge Haß & Denis Schweizer, 2014. "Strategic Asset Allocation and the Role of Alternative Investments," European Financial Management, European Financial Management Association, vol. 20(3), pages 521-547, June.
    22. Massimo Guidolin, 2013. "Markov switching models in asset pricing research," Chapters, in: Adrian R. Bell & Chris Brooks & Marcel Prokopczuk (ed.), Handbook of Research Methods and Applications in Empirical Finance, chapter 1, pages 3-44, Edward Elgar Publishing.
    23. Date, Paresh & Islyaev, Suren, 2015. "A fast calibrating volatility model for option pricing," European Journal of Operational Research, Elsevier, vol. 243(2), pages 599-606.
    24. Armstrong, John & Brigo, Damiano, 2022. "Coherent risk measures alone are ineffective in constraining portfolio losses," Journal of Banking & Finance, Elsevier, vol. 140(C).

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