The 4/2 Stochastic Volatility Model: A Unified Approach For The Heston And The 3/2 Model
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- Mark Craddock & Eckhard Platen, 2003.
"Symmetry Group Methods for Fundamental Solutions and Characteristic Functions,"
Research Paper Series
90, Quantitative Finance Research Centre, University of Technology, Sydney.
- Mark Craddock & Eckhard Platen, 2004. "Symmetry group methods for fundamental solutions," Published Paper Series 2004-6, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
- Eckhard Platen, 2006.
"A Benchmark Approach To Finance,"
Mathematical Finance, Wiley Blackwell, vol. 16(1), pages 131-151, January.
- Eckhard Platen, 2004. "A Benchmark Approach to Finance," Research Paper Series 138, Quantitative Finance Research Centre, University of Technology, Sydney.
- Peter Carr & Jian Sun, 2007. "A new approach for option pricing under stochastic volatility," Review of Derivatives Research, Springer, vol. 10(2), pages 87-150, May.
- Mark Craddock & Kelly A. Lennox, 2010. "Lie Symmetry Methods for Multidimensional Linear, Parabolic PDES and Diffusions," Research Paper Series 274, Quantitative Finance Research Centre, University of Technology, Sydney.
- Andrey Itkin, 2013.
"New solvable stochastic volatility models for pricing volatility derivatives,"
Review of Derivatives Research, Springer, vol. 16(2), pages 111-134, July.
- Andrey Itkin, 2012. "New solvable stochastic volatility models for pricing volatility derivatives," Papers 1205.3550, arXiv.org, revised Jun 2012.
- Baldeaux, Jan & Grasselli, Martino & Platen, Eckhard, 2015. "Pricing currency derivatives under the benchmark approach," Journal of Banking & Finance, Elsevier, vol. 53(C), pages 34-48.
- Mark Broadie & Özgür Kaya, 2006. "Exact Simulation of Stochastic Volatility and Other Affine Jump Diffusion Processes," Operations Research, INFORMS, vol. 54(2), pages 217-231, April.
- Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
- Alan L. Lewis, 2001. "A Simple Option Formula for General Jump-Diffusion and other Exponential Levy Processes," Related articles explevy, Finance Press.
- Alessandro Gnoatto & Martino Grasselli & Eckhard Platen, 2016.
"A Penny Saved is a Penny Earned: Less Expensive Zero Coupon Bonds,"
Research Paper Series
374, Quantitative Finance Research Centre, University of Technology, Sydney.
- Alessandro Gnoatto & Martino Grasselli & Eckhard Platen, 2016. "A Penny Saved is a Penny Earned: Less Expensive Zero Coupon Bonds," Papers 1608.04683, arXiv.org, revised Mar 2018.
- José da Fonseca & Martino Grasselli, 2011. "Riding on the smiles," Quantitative Finance, Taylor & Francis Journals, vol. 11(11), pages 1609-1632.
- Jones, Christopher S., 2003. "The dynamics of stochastic volatility: evidence from underlying and options markets," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 181-224.
- Bakshi, Gurdip & Ju, Nengjiu & Ou-Yang, Hui, 2006. "Estimation of continuous-time models with an application to equity volatility dynamics," Journal of Financial Economics, Elsevier, vol. 82(1), pages 227-249, October.
- Paul Glasserman & Kyoung-Kuk Kim, 2011. "Gamma expansion of the Heston stochastic volatility model," Finance and Stochastics, Springer, vol. 15(2), pages 267-296, June.
- Jan Baldeaux, 2012. "Exact Simulation Of The 3/2 Model," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 1-13.
- Alan L. Lewis, 2000. "Option Valuation under Stochastic Volatility," Option Valuation under Stochastic Volatility, Finance Press, number ovsv, December.
- De Col, Alvise & Gnoatto, Alessandro & Grasselli, Martino, 2013.
"Smiles all around: FX joint calibration in a multi-Heston model,"
Journal of Banking & Finance, Elsevier, vol. 37(10), pages 3799-3818.
- Alvise De Col & Alessandro Gnoatto & Martino Grasselli, 2012. "Smiles all around: FX joint calibration in a multi-Heston model," Papers 1201.1782, arXiv.org, revised Jun 2013.
- Bates, David S, 1996. "Jumps and Stochastic Volatility: Exchange Rate Processes Implicit in Deutsche Mark Options," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 69-107.
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