메뉴 건너뛰기




Volumn 38, Issue 1, 2011, Pages 1-22

Inference for Lévy-Driven Stochastic Volatility Models via Adaptive Sequential Monte Carlo

Author keywords

Markov chain Monte Carlo; Sequential Monte Carlo; Stochastic volatility

Indexed keywords


EID: 79951530439     PISSN: 03036898     EISSN: 14679469     Source Type: Journal    
DOI: 10.1111/j.1467-9469.2010.00723.x     Document Type: Article
Times cited : (164)

References (39)
  • 1
    • 0022786406 scopus 로고
    • Algorithm 644, a portable package for Bessel functions of a complex argument and non-negative order
    • Amos, D. E. (1986). Algorithm 644, a portable package for Bessel functions of a complex argument and non-negative order. ACM Trans. Math. Software 12, 265-273.
    • (1986) ACM Trans. Math. Software , vol.12 , pp. 265-273
    • Amos, D.E.1
  • 2
    • 33750512542 scopus 로고    scopus 로고
    • On the ergodicity properties of some adaptive MCMC algorithms
    • Andrieu, C. & Moulines, É. (2006). On the ergodicity properties of some adaptive MCMC algorithms. Ann. Appl. Probab. 16, 1462-1505.
    • (2006) Ann. Appl. Probab. , vol.16 , pp. 1462-1505
    • Andrieu, C.1    Moulines, E.2
  • 3
    • 79951527712 scopus 로고    scopus 로고
    • The expected auxiliary variable principle for Monte Carlo computation. Technical Report, Department of Mathematics, University of Bristol.
    • Andrieu, C., Berthelsen, A., Doucet, A. & Roberts, G. O. (2007). The expected auxiliary variable principle for Monte Carlo computation. Technical Report, Department of Mathematics, University of Bristol.
    • (2007)
    • Andrieu, C.1    Berthelsen, A.2    Doucet, A.3    Roberts, G.O.4
  • 4
    • 0041901646 scopus 로고    scopus 로고
    • Lévy processes and stochastic calculus
    • Cambridge University Press, Cambridge.
    • Applebaum, D. (2004). Lévy processes and stochastic calculus. Cambridge University Press, Cambridge.
    • (2004)
    • Applebaum, D.1
  • 5
    • 0035648379 scopus 로고    scopus 로고
    • Non-Gaussian OU-based models and some of their uses in financial economics (with discussion)
    • Barndorff-Nielsen, O. E. & Shephard, N. (2001). Non-Gaussian OU-based models and some of their uses in financial economics (with discussion). J. Roy. Statist. Soc. B 63, 167-241.
    • (2001) J. Roy. Statist. Soc. B , vol.63 , pp. 167-241
    • Barndorff-Nielsen, O.E.1    Shephard, N.2
  • 6
    • 85015692260 scopus 로고
    • The pricing of corporate liabilites
    • Black, F. & Scholes, M. (1973). The pricing of corporate liabilites. J. Political Econom. 81, 637-654.
    • (1973) J. Political Econom. , vol.81 , pp. 637-654
    • Black, F.1    Scholes, M.2
  • 7
    • 33748112966 scopus 로고    scopus 로고
    • Leverage and volatility feedback effects in high-frequency data
    • Bollerslev, T., Litvinova, J. & Tauchen, G. (2006). Leverage and volatility feedback effects in high-frequency data. J. Finan. Econom. 4, 353-384.
    • (2006) J. Finan. Econom. , vol.4 , pp. 353-384
    • Bollerslev, T.1    Litvinova, J.2    Tauchen, G.3
  • 8
    • 33645556341 scopus 로고    scopus 로고
    • Exact simulation of stochastic volatility and other affine jump diffusion processes
    • Broadie, M. & Kaya, O. (2006). Exact simulation of stochastic volatility and other affine jump diffusion processes. Oper. Res. 54, 217-231.
    • (2006) Oper. Res. , vol.54 , pp. 217-231
    • Broadie, M.1    Kaya, O.2
  • 9
    • 21844486450 scopus 로고
    • Bayesian inference for stable distributions
    • Buckle, D. J. (1995). Bayesian inference for stable distributions. J. Amer. Statist. Assoc. 90, 605-613.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 605-613
    • Buckle, D.J.1
  • 10
    • 33845603620 scopus 로고    scopus 로고
    • Self decomposabilty and option pricing
    • Carr, P., Geman, H., Madan, D. B. & Yor, M. (2007). Self decomposabilty and option pricing. Math. Finance 17, 31-57.
    • (2007) Math. Finance , vol.17 , pp. 31-57
    • Carr, P.1    Geman, H.2    Madan, D.B.3    Yor, M.4
  • 11
    • 33847367249 scopus 로고    scopus 로고
    • Inference and model choice for sequentially ordered hidden Markov models
    • Chopin, N. (2007). Inference and model choice for sequentially ordered hidden Markov models. J. Roy. Statist. Soc. B 69, 269-284.
    • (2007) J. Roy. Statist. Soc. B , vol.69 , pp. 269-284
    • Chopin, N.1
  • 14
    • 41549124558 scopus 로고    scopus 로고
    • Bayesian Statistics 8
    • In (eds S. Bayarri, J. O. Berger, J. M. Bernardo, A. P. Dawid, D. Heckerman, A. F. M. Smith, amp; M. West), Oxford University Press, Oxford.
    • Del Moral, P., Doucet, A. & Jasra, A. (2007). Sequential Monte Carlo for Bayesian computation (with discussion). In Bayesian Statistics 8 (eds S. Bayarri, J. O. Berger, J. M. Bernardo, A. P. Dawid, D. Heckerman, A. F. M. Smith, & M. West), 115-148, Oxford University Press, Oxford.
    • (2007) Sequential Monte Carlo for Bayesian computation (with discussion) , pp. 115-148
    • Del Moral, P.1    Doucet, A.2    Jasra, A.3
  • 15
    • 0003665481 scopus 로고    scopus 로고
    • Sequential Monte Carlo methods in practice
    • Springer, New York.
    • Doucet, A., De Freitas, J. F. G. & Gordon, N. J. (2001). Sequential Monte Carlo methods in practice. Springer, New York.
    • (2001)
    • Doucet, A.1    De Freitas, J.F.G.2    Gordon, N.J.3
  • 16
    • 0001668150 scopus 로고    scopus 로고
    • Transform analysis and asset pricing for affine jump diffusions
    • Duffie, D., Pan, J. & 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
  • 17
    • 0000440935 scopus 로고    scopus 로고
    • Likelihood inference for discretely observed non-linear diffusions
    • Elerian, O., Chib, S. & 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
  • 18
    • 2942726323 scopus 로고    scopus 로고
    • Do stock prices and volatility jump? Reconciling evidence from spot and option prices
    • Eraker, B. (2004). Do stock prices and volatility jump? Reconciling evidence from spot and option prices. J. Finance 59, 1367-1403.
    • (2004) J. Finance , vol.59 , pp. 1367-1403
    • Eraker, B.1
  • 19
  • 20
    • 34250159095 scopus 로고    scopus 로고
    • Stochastic volatility modelling with general marginal distributions: inference, prediction and model selection
    • Gander, M. P. S. & Stephens, D. A. (2007a). Stochastic volatility modelling with general marginal distributions: inference, prediction and model selection. J. Statist. Plann. Inference 137, 3068-3081.
    • (2007) J. Statist. Plann. Inference , vol.137 , pp. 3068-3081
    • Gander, M.P.S.1    Stephens, D.A.2
  • 21
    • 34548526235 scopus 로고    scopus 로고
    • Simulation and inference for stochastic volatility models driven by Lévy processes
    • Gander, M. P. S. & Stephens, D. A. (2007b). Simulation and inference for stochastic volatility models driven by Lévy processes. Biometrika 94, 627-646.
    • (2007) Biometrika , vol.94 , pp. 627-646
    • Gander, M.P.S.1    Stephens, D.A.2
  • 23
    • 33747878552 scopus 로고    scopus 로고
    • Inference with non-Gaussian Ornstein-Uhlenbeck processes for stochastic volatility
    • Griffin, J. & Steel, M. (2006). Inference with non-Gaussian Ornstein-Uhlenbeck processes for stochastic volatility. J. Econom. 134, 605-644.
    • (2006) J. Econom. , vol.134 , pp. 605-644
    • Griffin, J.1    Steel, M.2
  • 24
    • 0037836721 scopus 로고
    • A closed form solution for options with stochastic volatility with applications to bond and currency options
    • Heston, S. L. (1993). A closed form solution for options with stochastic volatility with applications to bond and currency options. Rev. Finan. 6, 327-334.
    • (1993) Rev. Finan. , vol.6 , pp. 327-334
    • Heston, S.L.1
  • 25
    • 84977709229 scopus 로고
    • The pricing of options on assets with stochastic volatilities
    • Hull, J. & White, A. (1987). The pricing of options on assets with stochastic volatilities. J. Finance 41, 281-300.
    • (1987) J. Finance , vol.41 , pp. 281-300
    • Hull, J.1    White, A.2
  • 27
    • 79951520005 scopus 로고    scopus 로고
    • Likelihood-based inference for correlated diffusions. Technical Report, University of Cambridge.
    • Kalogeropoulos, K., Dellaportas, P. & Roberts, G. O. (2007). Likelihood-based inference for correlated diffusions. Technical Report, University of Cambridge.
    • (2007)
    • Kalogeropoulos, K.1    Dellaportas, P.2    Roberts, G.O.3
  • 28
    • 0001251517 scopus 로고    scopus 로고
    • Stochastic volatility: likelihood inference and comparison with ARCH models
    • Kim, S., Shephard, N. & Chib, S. (1998). Stochastic volatility: likelihood inference and comparison with ARCH models. Rev. Finan. Stud. 65, 361-393.
    • (1998) Rev. Finan. Stud. , vol.65 , pp. 361-393
    • Kim, S.1    Shephard, N.2    Chib, S.3
  • 29
    • 52449127693 scopus 로고    scopus 로고
    • A Bayesian analysis of return dynamics with Lévy jumps
    • Li, H., Wells, M. T. & Yu, C. (2008). A Bayesian analysis of return dynamics with Lévy jumps. Rev. Finan. Stud. 21, 2345-2378.
    • (2008) Rev. Finan. Stud. , vol.21 , pp. 2345-2378
    • Li, H.1    Wells, M.T.2    Yu, C.3
  • 30
    • 17044435029 scopus 로고    scopus 로고
    • A noisy Monte Carlo algorithm
    • DOI: 10.1103/PhysRevD.61.074505.
    • Lin, L., Liu, K. F. & Sloan, J. (2000). A noisy Monte Carlo algorithm. Phys. Rev. D 61, DOI: 10.1103/PhysRevD.61.074505.
    • (2000) Phys. Rev. D , vol.61
    • Lin, L.1    Liu, K.F.2    Sloan, J.3
  • 31
    • 0002895230 scopus 로고    scopus 로고
    • The variance gamma process and option pricing
    • Madan, D. B., Carr, P. & Chang, E. (1998). The variance gamma process and option pricing. Eur. Finance Rev. 2, 79-105.
    • (1998) Eur. Finance Rev. , vol.2 , pp. 79-105
    • Madan, D.B.1    Carr, P.2    Chang, E.3
  • 32
    • 0000273048 scopus 로고    scopus 로고
    • Annealed importance sampling
    • Neal, R. M. (2001). Annealed importance sampling. Statist. Comput. 11, 125-139.
    • (2001) Statist. Comput. , vol.11 , pp. 125-139
    • Neal, R.M.1
  • 33
    • 34547697278 scopus 로고    scopus 로고
    • Stochastic volatility with leverage: fast and efficient likelihood inference
    • Omori, Y., Chib, S., Shephard, N. & Nakajima, J. (2007). Stochastic volatility with leverage: fast and efficient likelihood inference. J. Econom. 140, 425-449.
    • (2007) J. Econom. , vol.140 , pp. 425-449
    • Omori, Y.1    Chib, S.2    Shephard, N.3    Nakajima, J.4
  • 37
    • 10244252366 scopus 로고    scopus 로고
    • On inference for partially observed nonlinear diffusion models using the Metropolis-Hastings algorithm
    • Roberts, G. O. & Stramer, O. (2001). On inference for partially observed nonlinear diffusion models using the Metropolis-Hastings algorithm. Biometrika 88, 603-621.
    • (2001) Biometrika , vol.88 , pp. 603-621
    • Roberts, G.O.1    Stramer, O.2
  • 38
    • 2442549612 scopus 로고    scopus 로고
    • Bayesian inference for non-Gaussian Ornstein-Uhlenbeck stochastic volatility processes
    • Roberts, G. O., Papaspiliopoulos, O. & Dellaportas, P. (2004). Bayesian inference for non-Gaussian Ornstein-Uhlenbeck stochastic volatility processes. J. Roy. Statist. Soc. B 66, 369-393.
    • (2004) J. Roy. Statist. Soc. B , vol.66 , pp. 369-393
    • Roberts, G.O.1    Papaspiliopoulos, O.2    Dellaportas, P.3
  • 39
    • 19744365632 scopus 로고    scopus 로고
    • On leverage in a stochastic volatility model
    • Yu, J. (2005). On leverage in a stochastic volatility model. J. Econom. 127, 165-178.
    • (2005) J. Econom. , vol.127 , pp. 165-178
    • Yu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.