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Volumn 19, Issue 2, 2001, Pages 177-191

MCMC analysis of diffusion models with application to finance

Author keywords

Bayesian analysis; Diffusion process; Gibbs sampler; Markov chain Monte Carlo; Stochastic volatility

Indexed keywords


EID: 0035586814     PISSN: 07350015     EISSN: None     Source Type: Journal    
DOI: 10.1198/073500101316970403     Document Type: Article
Times cited : (270)

References (52)
  • 1
    • 84946261080 scopus 로고
    • Estimation in models of security prices
    • Aase, K. K. (1987), "Estimation in Models of Security Prices," Scandinavian Actuarial Journal, 1, 211-224.
    • (1987) Scandinavian Actuarial Journal , vol.1 , pp. 211-224
    • Aase, K.K.1
  • 2
    • 0030369366 scopus 로고    scopus 로고
    • Nonparametric pricing of interest rate derivative securities
    • Aït-Sahalia, Y. (1996a), "Nonparametric Pricing of Interest Rate Derivative Securities," Econometrica, 64, 527-560.
    • (1996) Econometrica , vol.64 , pp. 527-560
    • Aït-Sahalia, Y.1
  • 3
    • 0242670422 scopus 로고    scopus 로고
    • Testing continuous-time models of the spot interest rate
    • _ (1996b), "Testing Continuous-Time Models of the Spot Interest Rate," Review of Financial Studies, 9, 385-426.
    • (1996) Review of Financial Studies , vol.9 , pp. 385-426
  • 5
    • 0008430702 scopus 로고    scopus 로고
    • Computation in Bayesian econometrics: An introduction to Markov Chain Monte Carlo
    • Albert, J., and Chib, S. (1996), "Computation in Bayesian Econometrics: An Introduction to Markov Chain Monte Carlo," Advances in Econometrics, 11 A, 3-24.
    • (1996) Advances in Econometrics , vol.11 A , pp. 3-24
    • Albert, J.1    Chib, S.2
  • 6
    • 0000309098 scopus 로고    scopus 로고
    • Estimating continuous-time stochastic volatility models of the short-term interest rate
    • Andersen, T. G., and Lund, J. (1997a), "Estimating Continuous-Time Stochastic Volatility Models of the Short-term Interest Rate," Journal of Econometrics, 7, 343-377.
    • (1997) Journal of Econometrics , vol.7 , pp. 343-377
    • Andersen, T.G.1    Lund, J.2
  • 8
    • 0002166622 scopus 로고    scopus 로고
    • On estimation for discretely observed diffusions: A review
    • Bibby, B. M., and Sørensen, M. (1996), "On Estimation for Discretely Observed Diffusions: A Review," Theory of Stochastic Processes, 2, 49-56.
    • (1996) Theory of Stochastic Processes , vol.2 , pp. 49-56
    • Bibby, B.M.1    Sørensen, M.2
  • 9
    • 0000658462 scopus 로고    scopus 로고
    • Modeling and pricing long memory in stock market volatility
    • Bollerslev, T., and Mikkelsen, H. O. (1996), "Modeling and Pricing Long Memory in Stock Market Volatility," Journal of Econometrics, 73, 151-184.
    • (1996) Journal of Econometrics , vol.73 , pp. 151-184
    • Bollerslev, T.1    Mikkelsen, H.O.2
  • 12
    • 84977707412 scopus 로고
    • An empirical comparison of alternative models of the short-term interest rate
    • Chan, K. C., Karolyi, G. A., Longstaff, F. A., and Sanders, A. B. (1992), "An Empirical Comparison of Alternative Models of the Short-Term Interest Rate," Journal of Finance, 3, 1209-1227.
    • (1992) Journal of Finance , vol.3 , pp. 1209-1227
    • Chan, K.C.1    Karolyi, G.A.2    Longstaff, F.A.3    Sanders, A.B.4
  • 14
    • 0001205798 scopus 로고
    • A theory of the term structure of interest rates
    • Cox, J. C., Ingersoll, J. E., and Ross, S. A. (1985), "A Theory of the Term Structure of Interest Rates," Econometrica, 53, 385-407.
    • (1985) Econometrica , vol.53 , pp. 385-407
    • Cox, J.C.1    Ingersoll, J.E.2    Ross, S.A.3
  • 15
    • 43949160158 scopus 로고
    • Stochastic volatility in asset prices: Estimation with simulated maximum likelihood
    • Danielsson, J. (1994), "Stochastic Volatility in Asset Prices: Estimation With Simulated Maximum Likelihood," Journal of Econometrics, 64, 375-400.
    • (1994) Journal of Econometrics , vol.64 , pp. 375-400
    • Danielsson, J.1
  • 18
    • 0000593389 scopus 로고
    • Simulated moments estimation of Markov models of asset prices
    • Duffie, D., and Singleton, K. (1993), "Simulated Moments Estimation of Markov Models of Asset Prices," Econometrica, 61, 929-952.
    • (1993) Econometrica , vol.61 , pp. 929-952
    • Duffie, D.1    Singleton, K.2
  • 20
    • 0008757215 scopus 로고    scopus 로고
    • unpublished HAE thesis, Norwegian School of Economics and Business Administration, Dept. of Finance
    • Eraker, B. (1997), "MCMC Analysis of Diffusion Models with Application to Finance," unpublished HAE thesis, Norwegian School of Economics and Business Administration, Dept. of Finance.
    • (1997) MCMC Analysis of Diffusion Models with Application to Finance
    • Eraker, B.1
  • 25
    • 0001032163 scopus 로고
    • Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments
    • eds. J. O. Berger, J. M. Bernardo, and A. Smith, Oxford, U.K: Oxford University Press
    • Geweke, J. (1992), "Evaluating the Accuracy of Sampling-Based Approaches to the Calculation of Posterior Moments," in Bayesian Statistics 4, eds. J. O. Berger, J. M. Bernardo, and A. Smith, Oxford, U.K: Oxford University Press, pp. 169-194.
    • (1992) Bayesian Statistics , vol.4 , pp. 169-194
    • Geweke, J.1
  • 26
    • 0000247137 scopus 로고    scopus 로고
    • Estimation and optimization of functions
    • eds. W. R. Gilks, S. Richardson, and D. J. Spiegelhalter, London: Chapman & Hall
    • Geyer, C. J. (1996), "Estimation and Optimization of Functions," in Markov Chain Monte Carlo in Practice, eds. W. R. Gilks, S. Richardson, and D. J. Spiegelhalter, London: Chapman & Hall.
    • (1996) Markov Chain Monte Carlo in Practice
    • Geyer, C.J.1
  • 31
    • 0029182376 scopus 로고
    • Back to the future: Generating moment implications for continuous-time Markov processes
    • Hansen, L. P., and Scheinkman, J. (1995), "Back to the Future: Generating Moment Implications for Continuous-Time Markov Processes," Econometrica, 63, 767-804.
    • (1995) Econometrica , vol.63 , pp. 767-804
    • Hansen, L.P.1    Scheinkman, J.2
  • 33
    • 0002288417 scopus 로고
    • working paper, University of Chicago, Graduate School of Business, Dept. of Econometrics and Statistics
    • _ (1994b), "Stochastic Volatility: Univariate and Multivariate Extensions," working paper, University of Chicago, Graduate School of Business, Dept. of Econometrics and Statistics.
    • (1994) Stochastic Volatility: Univariate and Multivariate Extensions
  • 34
    • 0031536748 scopus 로고    scopus 로고
    • A nonparametric approach to the estimation of diffusion processes, with an application to a short-term interest rate model
    • Jiang, G. J., and Knight, J. L. (1997), "A Nonparametric Approach to the Estimation of Diffusion Processes, With an Application to a Short-term Interest Rate Model," Econometric Theory, 13, 615-645.
    • (1997) Econometric Theory , vol.13 , pp. 615-645
    • Jiang, G.J.1    Knight, J.L.2
  • 37
    • 0040360923 scopus 로고    scopus 로고
    • Estimation of an ergodic diffusion from discrete observations
    • Kessler, M. (1997), "Estimation of an Ergodic Diffusion From Discrete Observations," Scandinavian Journal of Statistics, 24, 1-19.
    • (1997) Scandinavian Journal of Statistics , vol.24 , pp. 1-19
    • Kessler, M.1
  • 38
    • 0001251517 scopus 로고    scopus 로고
    • Stochastic volatility: Likelihood inference and comparison with ARCH models
    • Kim, S., Shephard, N., and Chib, S. (1998), "Stochastic Volatility: Likelihood Inference and Comparison With ARCH Models." Review of Economic Studies, 65, 361-393.
    • (1998) Review of Economic Studies , vol.65 , pp. 361-393
    • Kim, S.1    Shephard, N.2    Chib, S.3
  • 42
    • 0002841968 scopus 로고
    • A new approach to maximum likelihood estimation for stochastic differential equations based on discrete observations
    • Pedersen, A. (1995), "A New Approach to Maximum Likelihood Estimation for Stochastic Differential Equations Based on Discrete Observations," Scandinavian Journal of Statistics, 22, 55-71.
    • (1995) Scandinavian Journal of Statistics , vol.22 , pp. 55-71
    • Pedersen, A.1
  • 43
    • 0006599335 scopus 로고
    • Statistical inference from sampled data for stochastic processes
    • Prakasa Rao, B. L. S. (1988), "Statistical Inference From Sampled Data for Stochastic Processes," Contemporary Mathematics, 80, 249-284.
    • (1988) Contemporary Mathematics , vol.80 , pp. 249-284
    • Prakasa Rao, B.L.S.1
  • 45
    • 0039784337 scopus 로고
    • Estimating functions for discretely observed diffusions: A review
    • University of Aarhus, Dept. of Mathematics
    • Sørensen, M. (1995), "Estimating Functions for Discretely Observed Diffusions: A Review," Research Report 348, University of Aarhus, Dept. of Mathematics.
    • (1995) Research Report , vol.348
    • Sørensen, M.1
  • 46
    • 0011815682 scopus 로고    scopus 로고
    • A nonparametric model of term structure dynamics and the market price of interest rate risk
    • Stanton, R. (1997), "A Nonparametric Model of Term Structure Dynamics and the Market Price of Interest Rate Risk," Journal of Finance, 52, 1973-2002.
    • (1997) Journal of Finance , vol.52 , pp. 1973-2002
    • Stanton, R.1
  • 47
    • 84950758368 scopus 로고
    • The calculation of posterior distributions by data augmentation
    • Tanner, M. A., and Wong, W. H. (1987), "The Calculation of Posterior Distributions by Data Augmentation" (with discussion). Journal of the American Statistical Association, 82, 528-550.
    • (1987) Journal of the American Statistical Association , vol.82 , pp. 528-550
    • Tanner, M.A.1    Wong, W.H.2
  • 48
    • 0000576595 scopus 로고
    • Markov chains for exploring posterior distributions
    • Tierney, L. (1994), "Markov Chains for Exploring Posterior Distributions" (with discussion), The Annals of Statistics, 22, 1701-1762.
    • (1994) The Annals of Statistics , vol.22 , pp. 1701-1762
    • Tierney, L.1
  • 49
    • 0347078538 scopus 로고
    • An equilibrium characterization of the term structure
    • Vasicek, O. (1977), "An Equilibrium Characterization of the Term Structure," Journal of Financial Economics, 5, 177-188.
    • (1977) Journal of Financial Economics , vol.5 , pp. 177-188
    • Vasicek, O.1
  • 50
    • 4243285222 scopus 로고
    • Algorithm AS-287 - Adaptive rejection sampling from log-concave density-functions
    • Wild, P., and Gilks, W. (1993), "Algorithm AS-287 - Adaptive Rejection Sampling From Log-Concave Density-Functions," Journal of the Royal Statistical Society, Ser. C, 42, 701-709.
    • (1993) Journal of the Royal Statistical Society, Ser. C , vol.42 , pp. 701-709
    • Wild, P.1    Gilks, W.2
  • 51
    • 0000574485 scopus 로고
    • Estimation for diffusion processes from discrete observations
    • Yoshida, N. (1992), "Estimation for Diffusion Processes From Discrete Observations," Journal of Multivariate Analysis, 41, 220-242.
    • (1992) Journal of Multivariate Analysis , vol.41 , pp. 220-242
    • Yoshida, N.1


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