메뉴 건너뛰기




Volumn 134, Issue 2, 2006, Pages 507-551

Saddlepoint approximations for continuous-time Markov processes

Author keywords

Characteristic function; Closed form approximation; Infinitesimal generator; Transition density

Indexed keywords

COMPUTATION THEORY; FINANCE; FUNCTIONS; LAPLACE TRANSFORMS; MARKOV PROCESSES; MATHEMATICAL MODELS;

EID: 33747883866     PISSN: 03044076     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jeconom.2005.07.004     Document Type: Article
Times cited : (58)

References (26)
  • 1
    • 0040843309 scopus 로고    scopus 로고
    • Transition densities for interest rate and other nonlinear diffusions
    • Ai{dotless}̈t-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
  • 2
    • 33747890694 scopus 로고    scopus 로고
    • Ai{dotless}̈t-Sahalia, Y., 2001. Closed-form likelihood expansions for multivariate diffusions. Technical Report, Princeton University.
  • 3
    • 0036216388 scopus 로고    scopus 로고
    • Maximum-likelihood estimation of discretely-sampled diffusions: a closed-form approximation approach
    • Ai{dotless}̈t-Sahalia Y. Maximum-likelihood estimation of discretely-sampled diffusions: a closed-form approximation approach. Econometrica 70 (2002) 223-262
    • (2002) Econometrica , vol.70 , pp. 223-262
    • Aït-Sahalia, Y.1
  • 4
    • 33747879861 scopus 로고    scopus 로고
    • Ai{dotless}̈t-Sahalia, Y., Hansen, L.P., Scheinkman, J.A., 2002. Operator methods for continuous-time Markov processes. In: Ai{dotless}̈t-Sahalia, Y., Hansen, L.P. (Eds.), Handbook of Financial Econometrics. North Holland, Amsterdam, The Netherlands, forthcoming.
  • 5
    • 33645676295 scopus 로고    scopus 로고
    • Bakshi, G.S., Yu, N., 2005. A refinement to Ai{dotless}̈t-Sahalia's (2002) "Maximum likelihood estimation of discretely sampled diffusions: a closed-form approximation approach". Journal of Business 78, forthcoming.
  • 6
    • 0003975247 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, UK
    • Bertoin J. Lévy Processes (1998), Cambridge University Press, Cambridge, UK
    • (1998) Lévy Processes
    • Bertoin, J.1
  • 7
    • 0002488565 scopus 로고    scopus 로고
    • Option valuation using the fast Fourier transform
    • Carr P., and Madan D.B. Option valuation using the fast Fourier transform. Journal of Computational Finance 2 (1998) 61-73
    • (1998) Journal of Computational Finance , vol.2 , pp. 61-73
    • Carr, P.1    Madan, D.B.2
  • 8
    • 0001205798 scopus 로고
    • A theory of the term structure of interest rates
    • Cox J.C., Ingersoll J.E., and Ross S.A. A theory of the term structure of interest rates. Econometrica 53 (1985) 385-408
    • (1985) Econometrica , vol.53 , pp. 385-408
    • Cox, J.C.1    Ingersoll, J.E.2    Ross, S.A.3
  • 9
    • 0001367156 scopus 로고
    • Saddlepoint approximations in statistics
    • Daniels H. Saddlepoint approximations in statistics. Annals of Mathematical Statistics 25 (1954) 631-650
    • (1954) Annals of Mathematical Statistics , vol.25 , pp. 631-650
    • Daniels, H.1
  • 10
    • 33747893101 scopus 로고    scopus 로고
    • DiPietro, M., 2001. Bayesian inference for discretely sampled diffusion processes with financial applications. Ph.D. Thesis, Department of Statistics, Carnegie-Mellon University.
  • 12
    • 0347985219 scopus 로고    scopus 로고
    • Maximum likelihood estimation of time inhomogeneous diffusions
    • Egorov A.V., Li H., and Xu Y. Maximum likelihood estimation of time inhomogeneous diffusions. Journal of Econometrics 114 (2003) 107-139
    • (2003) Journal of Econometrics , vol.114 , pp. 107-139
    • Egorov, A.V.1    Li, H.2    Xu, Y.3
  • 13
    • 0037836721 scopus 로고
    • A closed-form solution for options with stochastic volatility with applications to bonds and currency options
    • Heston S. A closed-form solution for options with stochastic volatility with applications to bonds and currency options. Review of Financial Studies 6 (1993) 327-343
    • (1993) Review of Financial Studies , vol.6 , pp. 327-343
    • Heston, S.1
  • 14
    • 85016660810 scopus 로고    scopus 로고
    • Transition densities of diffusion processes: numerical comparison of approximation techniques
    • Jensen B., and Poulsen R. Transition densities of diffusion processes: numerical comparison of approximation techniques. Journal of Derivatives 9 (2002) 1-15
    • (2002) Journal of Derivatives , vol.9 , pp. 1-15
    • Jensen, B.1    Poulsen, R.2
  • 16
    • 84974326007 scopus 로고
    • On the approximation of saddlepoint expansions in statistics
    • Lieberman O. On the approximation of saddlepoint expansions in statistics. Econometric Theory 10 (1994) 900-916
    • (1994) Econometric Theory , vol.10 , pp. 900-916
    • Lieberman, O.1
  • 17
    • 0000660352 scopus 로고
    • Saddlepoint approximation for the distribution of the sum of independent random variables
    • Lugannani R., and Rice S. Saddlepoint approximation for the distribution of the sum of independent random variables. Advances in Applied Probability 12 (1980) 475-490
    • (1980) Advances in Applied Probability , vol.12 , pp. 475-490
    • Lugannani, R.1    Rice, S.2
  • 20
    • 34248474317 scopus 로고
    • Option pricing when underlying stock returns are discontinuous
    • Merton R.C. Option pricing when underlying stock returns are discontinuous. Journal of Financial Economics 3 (1976) 125-144
    • (1976) Journal of Financial Economics , vol.3 , pp. 125-144
    • Merton, R.C.1
  • 21
    • 33747879130 scopus 로고    scopus 로고
    • Phillips, P.C., 1986. Large deviation expansions in econometrics. In: Slottje, D.J. (Ed.), Advances in Econometrics, vol. 5. JAI Press, Greenwich, CT, pp. 199-226.
  • 23
    • 0033435461 scopus 로고    scopus 로고
    • Saddlepoint approximations to option prices
    • Rogers L., and Zane O. Saddlepoint approximations to option prices. Annals of Applied Probability 9 (1999) 493-503
    • (1999) Annals of Applied Probability , vol.9 , pp. 493-503
    • Rogers, L.1    Zane, O.2
  • 24
    • 33747891885 scopus 로고    scopus 로고
    • Schaumburg, E., 2001. Maximum likelihood estimation of jump processes with applications to finance. Ph.D. Thesis, Princeton University.
  • 25
    • 21144473030 scopus 로고
    • Saddlepoint approximations to the CDF of some statistics with nonnormal limit distributions
    • Wood A.T.A., Booth J.G., and Butler R.W. Saddlepoint approximations to the CDF of some statistics with nonnormal limit distributions. Journal of the American Statistical Association 88 (1993) 680-686
    • (1993) Journal of the American Statistical Association , vol.88 , pp. 680-686
    • Wood, A.T.A.1    Booth, J.G.2    Butler, R.W.3
  • 26
    • 33747891048 scopus 로고    scopus 로고
    • Yu, J., 2003. Closed-form likelihood estimation of jump-diffusions with an application to the realignment risk premium of the Chinese yuan. Ph.D. Thesis, Princeton University.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.