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Volumn 24, Issue 4, 2006, Pages 455-469

Simulation methods for Lévy-driven continuous-time autoregressive moving average (CARMA) stochastic volatility models

Author keywords

Diffusions; L vy process; Quadratic variation; Realized variance; Simulation; Stochastic volatility

Indexed keywords


EID: 33750523409     PISSN: 07350015     EISSN: None     Source Type: Journal    
DOI: 10.1198/073500106000000260     Document Type: Article
Times cited : (44)

References (45)
  • 1
    • 0011836910 scopus 로고    scopus 로고
    • Range-based estimation of stochastic volatility models
    • Alizadeh, S., Brandt, M. W., and Diebold, F. (2002), "Range-Based Estimation of Stochastic Volatility Models," Journal of Finance, 57, 1047-1091.
    • (2002) Journal of Finance , vol.57 , pp. 1047-1091
    • Alizadeh, S.1    Brandt, M.W.2    Diebold, F.3
  • 3
    • 0035637532 scopus 로고    scopus 로고
    • Approximation of small jumps of Lévy processes with a view toward simulation
    • Asmussen, S., and Rosiński, J. (2001), "Approximation of Small Jumps of Lévy Processes With a View Toward Simulation," Journal of Applied Probability, 38, 482-493.
    • (2001) Journal of Applied Probability , vol.38 , pp. 482-493
    • Asmussen, S.1    Rosiński, J.2
  • 5
    • 0000179871 scopus 로고    scopus 로고
    • Modelling by Lévy processes for financial econometrics
    • eds. O. E. Barndorff-Nielsen, T. Mikosch, and S. Resnick, Boston: Birkhäuser
    • Barndorff-Nielsen, O. E., and Shephard, N. (2001a), "Modelling by Lévy Processes for Financial Econometrics," in Lévy Processes-Theory and Applications, eds. O. E. Barndorff-Nielsen, T. Mikosch, and S. Resnick, Boston: Birkhäuser, pp. 283-318.
    • (2001) Lévy Processes-theory and Applications , pp. 283-318
    • Barndorff-Nielsen, O.E.1    Shephard, N.2
  • 6
    • 0035648379 scopus 로고    scopus 로고
    • Non-Gaussian Ornstein-uhlenbeck-based models and some of their applications in financial Economics
    • _ (2001b), "Non-Gaussian Ornstein-Uhlenbeck-Based Models and Some of Their Applications in Financial Economics," Journal of the Royal Statistical Society, Ser. B, 63, 167-241.
    • (2001) Journal of the Royal Statistical Society, Ser. B , vol.63 , pp. 167-241
  • 8
    • 19644380659 scopus 로고    scopus 로고
    • Power and bipower variation with stochastic volatility and jumps
    • _ (2004), "Power and Bipower Variation With Stochastic Volatility and Jumps," Journal of Financial Econometrics, 2, 1-37.
    • (2004) Journal of Financial Econometrics , vol.2 , pp. 1-37
  • 10
    • 30744467415 scopus 로고    scopus 로고
    • Econometrics of testing for jumps in financial economics using bipower variation
    • _ (2006a), "Econometrics of Testing for Jumps in Financial Economics Using Bipower Variation," Journal of Financial Econometrics, 4, 1-30.
    • (2006) Journal of Financial Econometrics , vol.4 , pp. 1-30
  • 11
    • 33644508697 scopus 로고    scopus 로고
    • Impact of jumps on returns and realised variances: Econometric analysis of time-deformed Lévy processes
    • _ (2006b), "Impact of Jumps on Returns and Realised Variances: Econometric Analysis of Time-Deformed Lévy Processes," Journal of Econometrics, 131, 217-252.
    • (2006) Journal of Econometrics , vol.131 , pp. 217-252
  • 12
  • 13
    • 0003975247 scopus 로고    scopus 로고
    • Cambridge, U.K.: Cambridge University Press
    • Bertoin, J. (1996), Lévy Processes, Cambridge, U.K.: Cambridge University Press.
    • (1996) Lévy Processes
    • Bertoin, J.1
  • 17
    • 0013333372 scopus 로고    scopus 로고
    • Continuous-time ARMA processes
    • eds. D. Shanbhag and C. Rao, Amsterdam: North-Holland
    • _ (2001b), "Continuous-Time ARMA Processes," in Handbook of Statistics 19, eds. D. Shanbhag and C. Rao, Amsterdam: North-Holland, pp. 249-275.
    • (2001) Handbook of Statistics 19 , pp. 249-275
  • 18
    • 20444479512 scopus 로고    scopus 로고
    • Lévy-driven and fractionally integrated ARMA processes with continuous-time parameter
    • Brockwell, P., and Marquardt, T. (2005), "Lévy-Driven and Fractionally Integrated ARMA Processes With Continuous-Time Parameter," Statistics Sinica, 15, 477-494.
    • (2005) Statistics Sinica , vol.15 , pp. 477-494
    • Brockwell, P.1    Marquardt, T.2
  • 19
    • 0005833762 scopus 로고    scopus 로고
    • The fine structure of asset returns: An empirical investigation
    • Carr, P., Geman, H., Madan, D., and Yor, M. (2002), "The Fine Structure of Asset Returns: An Empirical Investigation," Journal of Business, 75, 305-332.
    • (2002) Journal of Business , vol.75 , pp. 305-332
    • Carr, P.1    Geman, H.2    Madan, D.3    Yor, M.4
  • 20
    • 0038742720 scopus 로고    scopus 로고
    • Stochastic volatility for Lévy processes
    • _ (2003), "Stochastic Volatility for Lévy Processes," Mathematical Finance, 13, 345-382.
    • (2003) Mathematical Finance , vol.13 , pp. 345-382
  • 21
    • 0347592529 scopus 로고    scopus 로고
    • Time-changed Lévy processes and option pricing
    • Carr, P., and Wu, L. (2004), "Time-Changed Lévy Processes and Option Pricing," Journal of Financial Economics, 71, 113-141.
    • (2004) Journal of Financial Economics , vol.71 , pp. 113-141
    • Carr, P.1    Wu, L.2
  • 24
    • 0001668150 scopus 로고    scopus 로고
    • Transform analysis and asset pricing for affine jump-diffusions
    • Duffie, D., Pan, J., and Singleton, K. (2000), "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, 68, 1343-1376.
    • (2000) Econometrica , vol.68 , pp. 1343-1376
    • Duffie, D.1    Pan, J.2    Singleton, K.3
  • 25
    • 0036339461 scopus 로고    scopus 로고
    • Numerical techniques for maximum likelihood estimation of continuous-time diffusion processes
    • Durham, G., and Gallant, A. R. (2002), "Numerical Techniques for Maximum Likelihood Estimation of Continuous-Time Diffusion Processes," Journal of Business & Economic Statistics, 20, 297-316.
    • (2002) Journal of Business & Economic Statistics , vol.20 , pp. 297-316
    • Durham, G.1    Gallant, A.R.2
  • 26
    • 0000440935 scopus 로고    scopus 로고
    • Likelihood inference for discretely observed non-linear diffusions
    • Elerian, O., Chib, S., and Shephard, N. (2001), "Likelihood Inference for Discretely Observed Non-Linear Diffusions," Econometrica, 69, 959-993.
    • (2001) Econometrica , vol.69 , pp. 959-993
    • Elerian, O.1    Chib, S.2    Shephard, N.3
  • 27
    • 0035586814 scopus 로고    scopus 로고
    • MCMC analysis of diffusion models with application to finance
    • Eraker, B. (2001), "MCMC Analysis of Diffusion Models With Application to Finance," Journal of Business & Economic Statistics, 19, 177-191.
    • (2001) Journal of Business & Economic Statistics , vol.19 , pp. 177-191
    • Eraker, B.1
  • 28
    • 0142188082 scopus 로고    scopus 로고
    • The impact of jumps in volatility and returns
    • Eraker, B., Johannes, M., and Poison, N. (2003), "The Impact of Jumps in Volatility and Returns," Journal of Finance, 58, 1269-1300.
    • (2003) Journal of Finance , vol.58 , pp. 1269-1300
    • Eraker, B.1    Johannes, M.2    Poison, N.3
  • 29
    • 0001411887 scopus 로고
    • A representation of independent increment processes without gaussian components
    • Ferguson, T., and Klass, M. (1972), "A Representation of Independent Increment Processes Without Gaussian Components," The Annals of Mathematical Statistics, 43, 1634-1643.
    • (1972) The Annals of Mathematical Statistics , vol.43 , pp. 1634-1643
    • Ferguson, T.1    Klass, M.2
  • 30
    • 26444481610 scopus 로고    scopus 로고
    • The relative contributions of jumps to total variance
    • Huang, X., and Tauchen, G. (2006), "The Relative Contributions of Jumps to Total Variance," Journal of Financial Econometrics, 3, 456-499.
    • (2006) Journal of Financial Econometrics , vol.3 , pp. 456-499
    • Huang, X.1    Tauchen, G.2
  • 34
    • 0042357432 scopus 로고    scopus 로고
    • Option pricing in stochastic volatility models of the Ornstein-uhlenbeck type
    • Nicolato, E., and Venardos, E. (2003), "Option Pricing in Stochastic Volatility Models of the Ornstein-Uhlenbeck Type," Mathematical Finance, 13, 445-466.
    • (2003) Mathematical Finance , vol.13 , pp. 445-466
    • Nicolato, E.1    Venardos, E.2
  • 36
    • 0002838952 scopus 로고
    • On a class of infinitely divisible processes represented as mixtures of Gaussian processes
    • eds. S. Cambanis, G. Samorodnitsky, and T. S. Taqqu, Boston: Birkhäuser
    • Rosiński, J. (1991), "On a Class of Infinitely Divisible Processes Represented as Mixtures of Gaussian Processes," in Stable Processes and Related Topics, eds. S. Cambanis, G. Samorodnitsky, and T. S. Taqqu, Boston: Birkhäuser, pp. 27-41.
    • (1991) Stable Processes and Related Topics , pp. 27-41
    • Rosiński, J.1
  • 37
    • 0037740752 scopus 로고    scopus 로고
    • Series representations of Lévy processes from the perspective of point processes
    • eds. O. E. Barndorff-Nielsen, T. Mikosch, and S. Resnick, Boston: Birkhäuser
    • _ (2001), "Series Representations of Lévy Processes From the Perspective of Point Processes," in Lévy Processes-Theory and Applications, eds. O. E. Barndorff-Nielsen, T. Mikosch, and S. Resnick, Boston: Birkhäuser, pp. 401-415.
    • (2001) Lévy Processes-theory and Applications , pp. 401-415
  • 38
    • 13444289891 scopus 로고    scopus 로고
    • Tempered stable processes
    • ed. O. E. Barndorff-Nielsen
    • _ (2002), "Tempered Stable Processes," in Second MaPhySto Conference on Lévy Processes: Theory and Applications, ed. O. E. Barndorff-Nielsen, available at http://www.maphysto.dk/publications/MPS-misc/ 2002/22.pdf, pp. 215-220.
    • (2002) Second MaPhySto Conference on Lévy Processes: Theory and Applications , pp. 215-220
  • 39
    • 29144516745 scopus 로고    scopus 로고
    • unpublished manuscript, University of Tennessee
    • _ (2004), "Tempering Stable Processes," unpublished manuscript, University of Tennessee.
    • (2004) Tempering Stable Processes
  • 42
    • 0001982376 scopus 로고    scopus 로고
    • New minimum chi-squared methods in empirical finance
    • eds. D. Kreps and K. Wallis, Cambridge, U.K.: Cambridge University Press
    • Tauchen, G. (1997), "New Minimum Chi-Squared Methods in Empirical Finance," in Advances in Econometrics, Seventh World Congress, eds. D. Kreps and K. Wallis, Cambridge, U.K.: Cambridge University Press, pp. 279-317.
    • (1997) Advances in Econometrics, Seventh World Congress , pp. 279-317
    • Tauchen, G.1
  • 45
    • 1842536488 scopus 로고    scopus 로고
    • Simulation of stochastic integrals with respect to Lévy processes of type G
    • Wiktorsson, M. (2002), "Simulation of Stochastic Integrals With Respect to Lévy Processes of Type G," Stochastic Processes and Their Applications, 101, 113-125.
    • (2002) Stochastic Processes and Their Applications , vol.101 , pp. 113-125
    • Wiktorsson, M.1


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