메뉴 건너뛰기




Volumn 150, Issue 2, 2009, Pages 139-150

A two-stage realized volatility approach to estimation of diffusion processes with discrete data

Author keywords

Continuous record; Discrete sampling; Girsanov theorem; Maximum likelihood; Realized volatility

Indexed keywords

ASYMPTOTIC DISTRIBUTIONS; CENTRAL LIMIT THEORIES; CLOSED-FORM APPROXIMATIONS; CONTINUOUS RECORD; DIFFUSION FUNCTIONS; DIFFUSION PROCESS; DISCRETE DATUM; DISCRETE SAMPLING; DRIFT FUNCTIONS; ECONOMETRIC ANALYSIS; FINITE SAMPLE PERFORMANCE; GIRSANOV THEOREM; LIKELIHOOD FUNCTIONS; MAXIMUM LIKELIHOOD METHODS; NIELSEN; RANDOM MEASURES; REALIZED VOLATILITY; REGRESSION MODELS; STOCHASTIC VOLATILITY MODELS; TWO STAGES; TWO-STAGE METHODS;

EID: 67349134222     PISSN: 03044076     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jeconom.2008.12.006     Document Type: Article
Times cited : (30)

References (47)
  • 1
    • 0033410115 scopus 로고    scopus 로고
    • A parametric nonlinear model of term structure dynamics
    • Ahn D., and Gao B. A parametric nonlinear model of term structure dynamics. Review of Financial Studies 12 (1999) 721-762
    • (1999) Review of Financial Studies , vol.12 , pp. 721-762
    • Ahn, D.1    Gao, B.2
  • 2
    • 0040843309 scopus 로고    scopus 로고
    • Transition densities for interest rate and other nonlinear diffusions
    • Aït-Sahalia Y. Transition densities for interest rate and other nonlinear diffusions. Journal of Finance 54 (1999) 1361-1395
    • (1999) Journal of Finance , vol.54 , pp. 1361-1395
    • Aït-Sahalia, Y.1
  • 3
    • 0036216388 scopus 로고    scopus 로고
    • Maximum likelihood estimation of discretely sampled diffusion: A closed-form approximation approach
    • Aït-Sahalia Y. Maximum likelihood estimation of discretely sampled diffusion: A closed-form approximation approach. Econometrica 70 (2002) 223-262
    • (2002) Econometrica , vol.70 , pp. 223-262
    • Aït-Sahalia, Y.1
  • 4
    • 25844435205 scopus 로고    scopus 로고
    • How often to sample a continuous-time process in the presence of market microstructure noise
    • Aït-Sahalia Y., Mykland P.A., and Zhang L. How often to sample a continuous-time process in the presence of market microstructure noise. Review of Financial Studies 18 (2005) 351-416
    • (2005) Review of Financial Studies , vol.18 , pp. 351-416
    • Aït-Sahalia, Y.1    Mykland, P.A.2    Zhang, L.3
  • 7
    • 0037273358 scopus 로고    scopus 로고
    • Fully nonparametric estimation of scalar diffusion models
    • Bandi F.M., and Phillips P.C.B. Fully nonparametric estimation of scalar diffusion models. Econometrica 71 (2003) 241-283
    • (2003) Econometrica , vol.71 , pp. 241-283
    • Bandi, F.M.1    Phillips, P.C.B.2
  • 8
    • 33847196726 scopus 로고    scopus 로고
    • A simple approach to the parametric estimation of potentially nonstationary diffusions
    • Bandi F.M., and Phillips P.C.B. A simple approach to the parametric estimation of potentially nonstationary diffusions. Journal of Econometrics 137 (2007) 354-395
    • (2007) Journal of Econometrics , vol.137 , pp. 354-395
    • Bandi, F.M.1    Phillips, P.C.B.2
  • 11
    • 0036012995 scopus 로고    scopus 로고
    • Econometric analysis of realized volatility and its use in estimating stochastic volatility models
    • Barndorff-Nielsen O., and Shephard N. Econometric analysis of realized volatility and its use in estimating stochastic volatility models. Journal of the Royal Statistical Society. Series B 64 (2002) 253-280
    • (2002) Journal of the Royal Statistical Society. Series B , vol.64 , pp. 253-280
    • Barndorff-Nielsen, O.1    Shephard, N.2
  • 12
    • 2642525861 scopus 로고    scopus 로고
    • Realized power variation and stochastic volatility
    • Barndorff-Nielsen O., and Shephard N. Realized power variation and stochastic volatility. Bernoulli 9 (2003) 243-265
    • (2003) Bernoulli , vol.9 , pp. 243-265
    • Barndorff-Nielsen, O.1    Shephard, N.2
  • 13
    • 84926075268 scopus 로고    scopus 로고
    • How accurate is the asymptotic approximation to the distribution of realized volatility?
    • Andrews D.W.K., Powell J., Ruud P., and Stock J. (Eds), Cambridge University Press
    • Barndorff-Nielsen O., and Shephard N. How accurate is the asymptotic approximation to the distribution of realized volatility?. In: Andrews D.W.K., Powell J., Ruud P., and Stock J. (Eds). Identification and Inference for Econometric Models (2005), Cambridge University Press
    • (2005) Identification and Inference for Econometric Models
    • Barndorff-Nielsen, O.1    Shephard, N.2
  • 14
    • 33645975182 scopus 로고    scopus 로고
    • Limit theorems for multipower variation in the presence of jumps in financial econometrics
    • Barndorff-Nielsen O., Shephard N., and Winkel M. Limit theorems for multipower variation in the presence of jumps in financial econometrics. Stochastic Processes and Applications 16 (2006) 796-806
    • (2006) Stochastic Processes and Applications , vol.16 , pp. 796-806
    • Barndorff-Nielsen, O.1    Shephard, N.2    Winkel, M.3
  • 16
    • 0142013411 scopus 로고    scopus 로고
    • Estimating stochastic volatility diffusion using conditional moments of integrated volatility
    • Bollerslev T., and Zhou H. Estimating stochastic volatility diffusion using conditional moments of integrated volatility. Journal of Econometrics 109 (2002) 33-65
    • (2002) Journal of Econometrics , vol.109 , pp. 33-65
    • Bollerslev, T.1    Zhou, H.2
  • 17
    • 0036149169 scopus 로고    scopus 로고
    • Simulated likelihood estimation of diffusions with an application to exchange rate dynamics in incomplete markets
    • Brandt M.W., and Santa-Clara P. Simulated likelihood estimation of diffusions with an application to exchange rate dynamics in incomplete markets. Journal of Financial Economics 30 (2002) 161-210
    • (2002) Journal of Financial Economics , vol.30 , pp. 161-210
    • Brandt, M.W.1    Santa-Clara, P.2
  • 18
    • 84977707412 scopus 로고
    • An empirical comparison of alternative models of short term interest rates
    • Chan K.C., Karolyi G.A., Longstaff F.A., and Sanders A.B. An empirical comparison of alternative models of short term interest rates. Journal of Finance 47 (1992) 1209-1227
    • (1992) Journal of Finance , vol.47 , pp. 1209-1227
    • Chan, K.C.1    Karolyi, G.A.2    Longstaff, F.A.3    Sanders, A.B.4
  • 19
    • 0001205798 scopus 로고
    • A theory of the term structure of interest rates
    • Cox J., Ingersoll J., and Ross S. A theory of the term structure of interest rates. Econometrica 53 (1985) 385-407
    • (1985) Econometrica , vol.53 , pp. 385-407
    • Cox, J.1    Ingersoll, J.2    Ross, S.3
  • 20
    • 0003769560 scopus 로고
    • Harwood Academic Publishers, Readings, UK
    • Dixit A. The Art of Smooth Pasting (1993), Harwood Academic Publishers, Readings, UK
    • (1993) The Art of Smooth Pasting
    • Dixit, A.1
  • 21
    • 0000440935 scopus 로고    scopus 로고
    • Likelihood inference for discretely observed non-linear diffusions
    • Elerian O., Chib S., and Shephard N. Likelihood inference for discretely observed non-linear diffusions. Econometrica 69 (2001) 959-993
    • (2001) Econometrica , vol.69 , pp. 959-993
    • Elerian, O.1    Chib, S.2    Shephard, N.3
  • 22
    • 0035586814 scopus 로고    scopus 로고
    • MCMC analysis of diffusion models with application to finance
    • Eraker B. MCMC analysis of diffusion models with application to finance. Journal of Business and Economic Statistics 19 (2001) 177-191
    • (2001) Journal of Business and Economic Statistics , vol.19 , pp. 177-191
    • Eraker, B.1
  • 23
    • 84881079791 scopus 로고
    • Approximate discrete-time schemes for statistics of diffusion processes
    • Florens-Zmirou D. Approximate discrete-time schemes for statistics of diffusion processes. Statistics 20 (1989) 547-557
    • (1989) Statistics , vol.20 , pp. 547-557
    • Florens-Zmirou, D.1
  • 27
    • 22044434402 scopus 로고    scopus 로고
    • Asymptotic error distributions for the Euler method for stochastic differential equations
    • Jacod J., and Protter P. Asymptotic error distributions for the Euler method for stochastic differential equations. Annals of Probabilities 26 (1998) 267-307
    • (1998) Annals of Probabilities , vol.26 , pp. 267-307
    • Jacod, J.1    Protter, P.2
  • 28
    • 0018442646 scopus 로고
    • Minimum contrast estimation in diffusion processes
    • Lánska V. Minimum contrast estimation in diffusion processes. Journal of Applied Probability 16 (1979) 65-75
    • (1979) Journal of Applied Probability , vol.16 , pp. 65-75
    • Lánska, V.1
  • 30
    • 84974325324 scopus 로고
    • Maximum likelihood estimation of generalized Itô processes with discretely sampled data
    • Lo A.W. Maximum likelihood estimation of generalized Itô processes with discretely sampled data. Econometric Theory 4 (1988) 231-247
    • (1988) Econometric Theory , vol.4 , pp. 231-247
    • Lo, A.W.1
  • 31
    • 85025724501 scopus 로고
    • On estimating the expected return on the market: An exploratory investigation
    • Merton R.C. On estimating the expected return on the market: An exploratory investigation. Journal of Financial Economics 8 (1980) 323-361
    • (1980) Journal of Financial Economics , vol.8 , pp. 323-361
    • Merton, R.C.1
  • 33
    • 70350096085 scopus 로고
    • Large sample estimation and hypothesis testing
    • Engle R.F., and McFadden D. (Eds), North-Holland, Amsterdam
    • Newey W.K., and McFadden D. Large sample estimation and hypothesis testing. In: Engle R.F., and McFadden D. (Eds). Handbook of Econometrics vol. 4 (1994), North-Holland, Amsterdam
    • (1994) Handbook of Econometrics , vol.4
    • Newey, W.K.1    McFadden, D.2
  • 34
    • 0013142572 scopus 로고    scopus 로고
    • Gaussian estimation of single-factor continuous time models of the term structure of interest rates
    • Nowman K.B. Gaussian estimation of single-factor continuous time models of the term structure of interest rates. Journal of Finance 52 (1997) 1695-1703
    • (1997) Journal of Finance , vol.52 , pp. 1695-1703
    • Nowman, K.B.1
  • 35
    • 0002841968 scopus 로고
    • A new approach to maximum likelihood estimation for stochastic differential equations based on discrete observation
    • Pedersen A. A new approach to maximum likelihood estimation for stochastic differential equations based on discrete observation. Scandinavian Journal of Statistics 22 (1995) 55-71
    • (1995) Scandinavian Journal of Statistics , vol.22 , pp. 55-71
    • Pedersen, A.1
  • 36
    • 0342797287 scopus 로고
    • The structural estimation of a stochastic differential equation system
    • Phillips P.C.B. The structural estimation of a stochastic differential equation system. Econometrica 40 (1972) 1021-1041
    • (1972) Econometrica , vol.40 , pp. 1021-1041
    • Phillips, P.C.B.1
  • 38
    • 63149189483 scopus 로고    scopus 로고
    • Maximum likelihood and Gaussian estimation of continuous time models in finance. Handbook of Financial Time Series
    • in press-a
    • Phillips, P.C.B., Yu, J., 2006. Maximum likelihood and Gaussian estimation of continuous time models in finance. Handbook of Financial Time Series (in press-a)
    • (2006)
    • Phillips, P.C.B.1    Yu, J.2
  • 40
    • 71949112969 scopus 로고    scopus 로고
    • Simulation-based estimation of contingent-claims prices. Review of Financial Studies
    • in press-b
    • Phillips, P.C.B., Yu, J., 2008. Simulation-based estimation of contingent-claims prices. Review of Financial Studies (in press-b)
    • (2008)
    • Phillips, P.C.B.1    Yu, J.2
  • 43
    • 0347078538 scopus 로고
    • An equilibrium characterization of the term structure
    • Vasicek O. An equilibrium characterization of the term structure. Journal of Financial Economics 5 (1977) 177-186
    • (1977) Journal of Financial Economics , vol.5 , pp. 177-186
    • Vasicek, O.1
  • 44
    • 0000574485 scopus 로고
    • Estimation for diffusion processes from discrete observation
    • Yoshida N. Estimation for diffusion processes from discrete observation. Journal of Multivariate Analysis 41 (1992) 220-242
    • (1992) Journal of Multivariate Analysis , vol.41 , pp. 220-242
    • Yoshida, N.1
  • 45
    • 25844445947 scopus 로고    scopus 로고
    • A Gaussion approach for estimating continuous time models of short term interest rates
    • Yu J., and Phillips P.C.B. A Gaussion approach for estimating continuous time models of short term interest rates. The Econometrics Journal 4 (2001) 211-225
    • (2001) The Econometrics Journal , vol.4 , pp. 211-225
    • Yu, J.1    Phillips, P.C.B.2
  • 46
    • 33845324331 scopus 로고    scopus 로고
    • Efficient estimation of stochastic volatility using noise observations: A multi-scale approach
    • Zhang L. Efficient estimation of stochastic volatility using noise observations: A multi-scale approach. Bernoulli 12 (2006) 1019-1043
    • (2006) Bernoulli , vol.12 , pp. 1019-1043
    • Zhang, L.1
  • 47
    • 29144451478 scopus 로고    scopus 로고
    • A tale of two time scales: Determining integrated volatility with noisy high-frequency data
    • Zhang L., Mykland P.A., and Aït-Sahalia Y. A tale of two time scales: Determining integrated volatility with noisy high-frequency data. Journal of the American Statistical Association 100 (2005) 1394-1411
    • (2005) Journal of the American Statistical Association , vol.100 , pp. 1394-1411
    • Zhang, L.1    Mykland, P.A.2    Aït-Sahalia, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.