Normal mixture diffusion with uncertain volatility: Modelling short- and long-term smile effects
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- Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-651, October.
- Epps, Thomas W & Epps, Mary Lee, 1976. "The Stochastic Dependence of Security Price Changes and Transaction Volumes: Implications for the Mixture-of-Distributions Hypothesis," Econometrica, Econometric Society, vol. 44(2), pages 305-321, March.
- Bollerslev, Tim, 1986.
"Generalized autoregressive conditional heteroskedasticity,"
Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
- Tim Bollerslev, 1986. "Generalized autoregressive conditional heteroskedasticity," EERI Research Paper Series EERI RP 1986/01, Economics and Econometrics Research Institute (EERI), Brussels.
- Merton, Robert C., 1976.
"Option pricing when underlying stock returns are discontinuous,"
Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
- Merton, Robert C., 1975. "Option pricing when underlying stock returns are discontinuous," Working papers 787-75., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Damiano Brigo & Fabio Mercurio, 2002. "Lognormal-Mixture Dynamics And Calibration To Market Volatility Smiles," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 5(04), pages 427-446.
- Goodhart, Charles A. E. & O'Hara, Maureen, 1997. "High frequency data in financial markets: Issues and applications," Journal of Empirical Finance, Elsevier, vol. 4(2-3), pages 73-114, June.
- McFarland, James W & Pettit, R Richardson & Sung, Sam K, 1982. "The Distribution of Foreign Exchange Price Changes: Trading Day Effects and Risk Measurement," Journal of Finance, American Finance Association, vol. 37(3), pages 693-715, June.
- Marco Avellaneda & Craig Friedman & Richard Holmes & Dominick Samperi, 1997. "Calibrating volatility surfaces via relative-entropy minimization," Applied Mathematical Finance, Taylor & Francis Journals, vol. 4(1), pages 37-64.
- Ritchey, Robert J, 1990. "Call Option Valuation for Discrete Normal Mixtures," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 13(4), pages 285-296, Winter.
- Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
- repec:bla:jfinan:v:53:y:1998:i:6:p:2059-2106 is not listed on IDEAS
- 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.
- Rubinstein, Mark, 1994. "Implied Binomial Trees," Journal of Finance, American Finance Association, vol. 49(3), pages 771-818, July.
- Melick, William R. & Thomas, Charles P., 1997. "Recovering an Asset's Implied PDF from Option Prices: An Application to Crude Oil during the Gulf Crisis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 32(1), pages 91-115, March.
- Damiano Brigo, 2008. "The general mixture-diffusion SDE and its relationship with an uncertain-volatility option model with volatility-asset decorrelation," Papers 0812.4052, arXiv.org.
- Huisman, Ronald, et al, 2001. "Tail-Index Estimates in Small Samples," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(2), pages 208-216, April.
- Baillie, Richard T & Bollerslev, Tim, 2002.
"The Message in Daily Exchange Rates: A Conditional-Variance Tale,"
Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 60-68, January.
- Baillie, Richard T & Bollerslev, Tim, 1989. "The Message in Daily Exchange Rates: A Conditional-Variance Tale," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(3), pages 297-305, July.
- Tom Doan, "undated". "RATS program to replicate Baillie and Bollerslev GARCH models with day-of-week effects," Statistical Software Components RTZ00172, Boston College Department of Economics.
- Cai, Jun, 1994. "A Markov Model of Switching-Regime ARCH," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 309-316, July.
- Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
- Nelson, Daniel B & Foster, Dean P, 1994.
"Asymptotic Filtering Theory for Univariate ARCH Models,"
Econometrica, Econometric Society, vol. 62(1), pages 1-41, January.
- Daniel B. Nelson & Dean P. Foster, 1994. "Asypmtotic Filtering Theory for Univariate Arch Models," NBER Technical Working Papers 0129, National Bureau of Economic Research, Inc.
- Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166.
- Klaassen, F.J.G.M., 1998.
"Improving Garch Volatility Forecasts,"
Other publications TiSEM
f5bcd096-7744-4137-aabc-6, Tilburg University, School of Economics and Management.
- Klaassen, F.J.G.M., 1998. "Improving Garch Volatility Forecasts," Discussion Paper 1998-52, Tilburg University, Center for Economic Research.
- Mark Rubinstein., 1994. "Implied Binomial Trees," Research Program in Finance Working Papers RPF-232, University of California at Berkeley.
- Hamilton, James D. & Susmel, Raul, 1994.
"Autoregressive conditional heteroskedasticity and changes in regime,"
Journal of Econometrics, Elsevier, vol. 64(1-2), pages 307-333.
- Tom Doan, "undated". "RATS programs to estimate Hamilton-Susmel Markov Switching ARCH model," Statistical Software Components RTZ00083, Boston College Department of Economics.
- N. H. Bingham & Rudiger Kiesel, 2002. "Semi-parametric modelling in finance: theoretical foundations," Quantitative Finance, Taylor & Francis Journals, vol. 2(4), pages 241-250.
- Gençay, Ramazan & Dacorogna, Michel & Muller, Ulrich A. & Pictet, Olivier & Olsen, Richard, 2001. "An Introduction to High-Frequency Finance," Elsevier Monographs, Elsevier, edition 1, number 9780122796715.
- Ball, Clifford A. & Torous, Walter N., 1983. "A Simplified Jump Process for Common Stock Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 18(1), pages 53-65, March.
- Hull, John C & White, Alan D, 1987. "The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June.
- Robert J. Ritchey, 1990. "Call Option Valuation For Discrete Normal Mixtures," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 13(4), pages 285-296, December.
- M. Avellaneda & A. Levy & A. ParAS, 1995. "Pricing and hedging derivative securities in markets with uncertain volatilities," Applied Mathematical Finance, Taylor & Francis Journals, vol. 2(2), pages 73-88.
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- 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.
- Eugenia Sanin, María & Violante, Francesco & Mansanet-Bataller, María, 2015.
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- Maria Eugenia Sanin & Maria Mansanet-Bataller & Francesco Violante, 2015. "Understanding volatility dynamics in the EU-ETS market," CREATES Research Papers 2015-04, Department of Economics and Business Economics, Aarhus University.
- Maria Eugenia Sanin & Francesco Violante & Maria Mansanet-Bataller, 2015. "Understanding volatility dynamics in the EU-ETS market," Post-Print hal-02878047, HAL.
- Carol Alexander & Emese Lazar, 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, April.
- 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.
- Carol Alexandra & Emese Lazar, 2004. "Normal Mixture GARCH (1,1): Application to Exchange Rate Modelling," ICMA Centre Discussion Papers in Finance icma-dp2004-05, Henley Business School, University of Reading.
- 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.
- Rania Hentati & Jean-Luc Prigent, 2011.
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- Rania Hentati-Kaffel & Jean-Luc Prigent, 2014. "Portfolio Optimization within Mixture of Distributions," Working Papers hal-01066105, HAL.
- Rania Hentati & Jean-Luc Prigent, 2011. "Portfolio Optimization Within Mixture Of Distributions," Post-Print hal-00607105, HAL.
- Rania Hentati-Kaffel & Jean-Luc Prigent, 2014. "Portfolio Optimization within Mixture of Distributions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01066105, HAL.
- 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.
- 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.
- Rania Hentati & Jean-Luc Prigent, 2011. "On the maximization of financial performance measures within mixture models," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00608960, HAL.
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- Hentati-Kaffel, R. & Prigent, J.-L., 2016.
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- R. Hentati-Kaffel & J.L. Prigent, 2014. "Optimal Positioning in Financial Derivatives under Mixture Distributions," Working Papers 2014-347, Department of Research, Ipag Business School.
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- Xin Liu, 2016. "Asset Pricing with Random Volatility," Papers 1610.01450, arXiv.org, revised Sep 2018.
- Pål Nicolai Henriksen, 2011. "Pricing barrier options by a regime switching model," Quantitative Finance, Taylor & Francis Journals, vol. 11(8), pages 1221-1231.
- 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.
- 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.
- Carol Alexander & Andrew Scourse, 2004.
"Bivariate normal mixture spread option valuation,"
Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 637-648.
- Carol Alexandra & Andrew Scourse, 2003. "Bivariate Normal Mixture Spread Option Valuation," ICMA Centre Discussion Papers in Finance icma-dp2003-15, Henley Business School, University of Reading.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Armstrong, John & Brigo, Damiano, 2022. "Coherent risk measures alone are ineffective in constraining portfolio losses," Journal of Banking & Finance, Elsevier, vol. 140(C).
- 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.
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