Show simple item record

Mcmc Estimation Of Lévy Jump Models Using Stock And Option Prices

dc.contributor.authorYu, Cindy L.
dc.contributor.authorLi, Haitao
dc.contributor.authorWells, Martin T.
dc.date.accessioned2017-04-13T20:34:23Z
dc.date.available2017-04-13T20:34:23Z
dc.date.issued2011-07
dc.identifier.citationYu, Cindy L.; Li, Haitao; Wells, Martin T. (2011). "Mcmc Estimation Of Lévy Jump Models Using Stock And Option Prices." Mathematical Finance 21(3).
dc.identifier.issn0960-1627
dc.identifier.issn1467-9965
dc.identifier.urihttps://hdl.handle.net/2027.42/136259
dc.publisherBlackwell Publishing Inc
dc.publisherWiley Periodicals, Inc.
dc.subject.othervariance gamma model
dc.subject.otherMarkov Chain Monte Carlo
dc.subject.otheroption pricing
dc.subject.otherLevy processes
dc.titleMcmc Estimation Of Lévy Jump Models Using Stock And Option Prices
dc.typeArticleen_US
dc.rights.robotsIndexNoFollow
dc.subject.hlbsecondlevelFinance
dc.subject.hlbsecondlevelMathematics
dc.subject.hlbtoplevelBusiness and Economics
dc.subject.hlbtoplevelScience
dc.description.peerreviewedPeer Reviewed
dc.contributor.affiliationumUniversity of Michigan
dc.contributor.affiliationotherIowa State University
dc.contributor.affiliationotherCornell University
dc.description.bitstreamurlhttps://deepblue.lib.umich.edu/bitstream/2027.42/136259/1/j.1467-9965.2010.00439.x.pdf
dc.identifier.doi10.1111/j.1467-9965.2010.00439.x
dc.identifier.sourceMathematical Finance
dc.identifier.citedreferenceMadan, D., and F. Milne ( 1991 ): Option Pricing with VG Martingale Components, Math. Finance 1, 39 – 55.
dc.identifier.citedreferenceDuffie, D., J. Pan, and K. Singleton ( 2000 ): Transform Analysis and Asset Pricing for Affine Jump‐Diffusions, Econometrica 68, 1343 – 1376.
dc.identifier.citedreferenceEraker, B. ( 2004 ): Do Stock Prices and Volatility Jump? Reconciling Evidence from Spot and Option Prices, J. Finance 59, 1367 – 1403.
dc.identifier.citedreferenceEraker, B., M. Johannes, and N. Polson ( 2003 ): The Impact of Jumps in Equity Index Volatility and Returns, J. Finance 58, 1269 – 1300.
dc.identifier.citedreferenceGallant, R. ( 1987 ): Nonlinear Statistical Models, New York: John Wiley and Sons.
dc.identifier.citedreferenceGilks, W. ( 1992 ): Derivative‐Free Adaptive Rejection Sampling for Gibbs Sampling, Bayesian Statistics 4, Oxford: Oxford University Press.
dc.identifier.citedreferenceGilks, W., N. Best, and K. Tan ( 1995 ): Adaptive Rejection Metropolis Sampling, Appl. Stat. 44, 455 – 472.
dc.identifier.citedreferenceGriffin, J., and M. Steel ( 2006 ): Inference with Non‐Gaussian Ornstein‐Uhlenbeck Processes for Stochastic Volatility, J. Econometr. 134, 605 – 644.
dc.identifier.citedreferenceHeston, S. ( 1993 ): A Closed‐Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options, Rev. Financ. Stud. 6, 327 – 343.
dc.identifier.citedreferenceHuang, J., and L. Wu ( 2003 ): Specification Analysis of Option Pricing Models Based on Time‐Changed Lévy Processes, J. Finance 59, 1405 – 1439.
dc.identifier.citedreferenceJacquier, E., N. Polson, and P. Rossi ( 1994 ): Bayesian Analysis of Stochastic Volatility Models, J. Business. Econ. Stat. 12, 371 – 389.
dc.identifier.citedreferenceKim, S., N. Shephard, and S. Chib ( 1998 ): Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models, Rev. Econ. Stud. 65, 361 – 393.
dc.identifier.citedreferenceLi, H., M. Wells, and C. Yu ( 2008 ): A Bayesian Analysis of Return Dynamics with Lévy Jumps, Rev. Financ. Stud. 21, 2345 – 2378.
dc.identifier.citedreferenceMadan, D., and E. Seneta ( 1990 ): The Variance Gamma (V.G.) Model for Share Market Returns, J. Business 63, 511 – 524.
dc.identifier.citedreferenceEberlein, E., U. Keller, and K. Prause ( 1998 ): New Insights into Smile, Mispricing, and Value at Risk: The Hyperbolic Model, J. Business 71, 371 – 406.
dc.identifier.citedreferenceMadan, D., P. Carr, and E. Chang ( 1998 ): The Variance Gamma Process and Option Pricing, Eur. Finance Rev. 2, 79 – 105.
dc.identifier.citedreferenceMaheu, J., and T. McCurdy ( 2004 ): News Arrival, Jump Dynamics and Volatility Components for Individual Stock Returns, J. Finance 59, 755 – 794.
dc.identifier.citedreferenceMerton, R. ( 1976 ): Option Pricing When the Underlying Stock Returns are Discontinuous, J. Financ. Econ. 3, 125 – 144.
dc.identifier.citedreferenceNewey, W., and K. West ( 1987 ): A Simple, Positive Semi‐Definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix, Econometrica 55, 703 – 708.
dc.identifier.citedreferencePan, J. ( 2002 ): The Jump‐Risk Premia Implicit in Options: Evidence From an Integrated Time‐Series Study, J. Financ. Econ. 63, 3 – 50.
dc.identifier.citedreferenceQiou, Z., and N. Ravishanker ( 2004 ): Bayesian Inference for Vector ARMA Models with Stable Innovations, Working Paper, University of Connecticut.
dc.identifier.citedreferenceRipley, B.D. ( 1987 ): Stochastic Simulation, New York: John Wiley.
dc.identifier.citedreferenceRobert, C., and G. Casella ( 2004 ): Monte Carlo Statistical Methods, 2nd ed., New York: Springer.
dc.identifier.citedreferenceSato, K. ( 1999 ): Lévy Processes and Infinitely Divisible Distributions, Cambridge, UK: Cambridge University Press.
dc.identifier.citedreferenceTauchen, G., and V. Todorov ( 2008 ): Activity Signature Functions for High‐Frequency Data Analysis, Working Paper, Duke University.
dc.identifier.citedreferenceWu, L. ( 2006a ): Dampened Power Law: Reconciling the Tail Behavior of Financial Security Returns, J. Business 79, 1445 – 1474.
dc.identifier.citedreferenceWu, L. ( 2006b ): Modeling Financial Security Returns Using Lévy Processes, Working Paper, Baruch College.
dc.identifier.citedreferenceAït‐Sahalia, Y. ( 2004 ): Disentangling Diffusion from Jumps, J. Financ. Econ. 74, 487 – 528.
dc.identifier.citedreferenceAït‐Sahalia, Y., and J. Jacod ( 2008 ): Fisher’s Information for Discretely Sampled Lévy Processes, Econometrica, 76, 727 – 761.
dc.identifier.citedreferenceAït‐Sahalia, Y., and J. Jacod ( 2009 ): Estimating the Degree of Activity of Jumps in High Frequency Financial Data, Ann. Stat. 37, 2202 – 2244.
dc.identifier.citedreferenceAït‐Sahalia, Y., and A. Lo ( 1998 ): Nonparametric Estimation of State‐Price Densities Implicit in Financial Asset Prices, J. Finance 53, 499 – 547.
dc.identifier.citedreferenceBakshi, G., and L. Wu ( 2005 ): Investor Irrationality and the Nasdaq Bubble, Working Paper, Baruch College and University of Maryland.
dc.identifier.citedreferenceBarndorff‐Nielsen, O. E. ( 1998 ): Processes of Normal Inverse Gaussian Type, Finance Stoch. 2, 41 – 68.
dc.identifier.citedreferenceBarndorff‐Nielsen, O., and N. Shephard ( 2004 ): Power and Bipower Variation with Stochastic Volatility and Jumps, J. Financ. Econom. 2, 1 – 48.
dc.identifier.citedreferenceBelomestny, D., and M. Reiss ( 2006 ): Spectral Calibration of Exponential Lévy Models, Finance Stoch. 10, 449 – 474.
dc.identifier.citedreferenceBlack, F., and M. Scholes ( 1973 ): The Pricing of Options and Corporate Liabilities, J. Polit. Econ. 81, 637 – 654.
dc.identifier.citedreferenceBuckle, D. J. ( 1995 ): Bayesian Inference for Stable Distributions, J. Am. Stat. Assoc. 90, 605 – 613.
dc.identifier.citedreferenceCarr, P., and L. Wu ( 2003 ): The Finite Moment Log Stable Process and Option Pricing, J. Finance 58, 753 – 777.
dc.identifier.citedreferenceCarr, P., and L. Wu ( 2004 ): Time‐Changed Lévy Processes and Option Pricing, J. Financ. Econ. 71, 113 – 141.
dc.identifier.citedreferenceCarr, P., H. Geman, D. Madan, and M. Yor ( 2002 ): The Fine Structure of Asset Returns: An Empirical Investigation, J. Business 75, 305 – 332.
dc.identifier.citedreferenceCarr, P., H. Geman, D. Madan, and M. Yor ( 2003 ): Stochastic Volatility for Lévy Processes, Math. Finance 13, 345 – 382.
dc.identifier.citedreferenceCasella, G., and R. Berger ( 2001 ): Statistical Inference, Pacific Grove, CA: Duxbury Press.
dc.identifier.citedreferenceChib, S., F. Nardari, and N. Shephard ( 2002 ): Markov Chain Monte Carlo Methods for Stochastic Volatility Models, J. Econometr. 108, 281 – 316.
dc.identifier.citedreferenceCont, R., and P. Tankov ( 2004a ): Non‐Parametric Calibration of Jump‐Diffusion Option Pricing Models, J. Computat. Finance 7, 1 – 49.
dc.identifier.citedreferenceCont, R., and P. Tankov ( 2004b ): Financial Modelling with Jump Processes, London: Chapman & Hall.
dc.identifier.citedreferenceDamine, P., J. Wakefield, and S. Walker ( 1999 ): Gibbs Sampling for Bayesian Non‐Conjugate and Hierarchical Models by Using Auxiliary Variables, J. R. Stat. Soc. 61, 331 – 344.
dc.identifier.citedreferenceDevroye, L. ( 1986 ): Nonuniform Random Variate Generation, New York: Springer‐Verlag.
dc.identifier.citedreferenceDiebold, F., and R. Mariano ( 1995 ): Comparing Predictive Accuracy, J. Business Econ. Stat. 13, 253 – 265.
dc.owningcollnameInterdisciplinary and Peer-Reviewed


Files in this item

Show simple item record

Remediation of Harmful Language

The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.

Accessibility

If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.