메뉴 건너뛰기




Volumn 218, Issue 2, 2008, Pages 270-280

Numerical pricing of options using high-order compact finite difference schemes

Author keywords

American options; European options; Front fixing; Grid stretching; High order compact scheme

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; COSTS; GRID COMPUTING; INTERNATIONAL TRADE; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 44649136117     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.01.035     Document Type: Article
Times cited : (68)

References (17)
  • 1
    • 44649176830 scopus 로고    scopus 로고
    • X. Chen, J. Chadam, R. Stamicar, The optimal exercise boundary for American put options: analytic and numerical approximations, Preprint, 2000.
    • X. Chen, J. Chadam, R. Stamicar, The optimal exercise boundary for American put options: analytic and numerical approximations, Preprint, 2000.
  • 2
    • 0032166374 scopus 로고    scopus 로고
    • Calculation of weights in finite difference formulas
    • Fornberg B. Calculation of weights in finite difference formulas. SIAM Rev. 40 3 (1998) 685-691
    • (1998) SIAM Rev. , vol.40 , Issue.3 , pp. 685-691
    • Fornberg, B.1
  • 3
    • 0036588758 scopus 로고    scopus 로고
    • On the early exercise boundary of the American put option
    • Goodman J., and Ostrov D.N. On the early exercise boundary of the American put option. SIAM J. Appl. Math. 62 5 (2002) 1823-1835
    • (2002) SIAM J. Appl. Math. , vol.62 , Issue.5 , pp. 1823-1835
    • Goodman, J.1    Ostrov, D.N.2
  • 4
    • 11044237933 scopus 로고    scopus 로고
    • A fast numerical method for the Black-Scholes equation of American options
    • Han H., and Wu X. A fast numerical method for the Black-Scholes equation of American options. SIAM J. Numer. Anal. 41 6 (2003) 2081-2095
    • (2003) SIAM J. Numer. Anal. , vol.41 , Issue.6 , pp. 2081-2095
    • Han, H.1    Wu, X.2
  • 5
    • 0037836721 scopus 로고
    • A closed-form solution for options with stochastic volatility with applications to bond and currency options
    • Heston S. A closed-form solution for options with stochastic volatility with applications to bond and currency options. Rev. Financial Studies 6 (1993) 327-343
    • (1993) Rev. Financial Studies , vol.6 , pp. 327-343
    • Heston, S.1
  • 6
    • 84985376342 scopus 로고
    • A fourth-order difference method for the one-dimensional general quasilinear parabolic differential equation
    • Jain M.K., Jain R.K., and Mohanty R.K. A fourth-order difference method for the one-dimensional general quasilinear parabolic differential equation. Numer. Methods Partial Differential Equations 6 (1990) 311-319
    • (1990) Numer. Methods Partial Differential Equations , vol.6 , pp. 311-319
    • Jain, M.K.1    Jain, R.K.2    Mohanty, R.K.3
  • 7
    • 0001444653 scopus 로고    scopus 로고
    • Binomial models for option valuation-examining and improving convergence
    • Leisen D., and Reimer M. Binomial models for option valuation-examining and improving convergence. Appl. Math. Finance 3 (1996) 319-346
    • (1996) Appl. Math. Finance , vol.3 , pp. 319-346
    • Leisen, D.1    Reimer, M.2
  • 8
    • 0037809669 scopus 로고    scopus 로고
    • Accurate and efficient pricing of vanilla stock options via the Crandall-Douglas scheme
    • McCartin B.J., and Labadie S.M. Accurate and efficient pricing of vanilla stock options via the Crandall-Douglas scheme. Appl. Math. Comput. 143 (2003) 39-60
    • (2003) Appl. Math. Comput. , vol.143 , pp. 39-60
    • McCartin, B.J.1    Labadie, S.M.2
  • 9
    • 44649194304 scopus 로고    scopus 로고
    • C.W. Oosterlee, C.C.W. Leentvaar, X. Huang, Accurate American option pricing by grid stretching and high-order finite differences, Working papers, DIAM, Delft University of Technology, the Netherlands, 2005.
    • C.W. Oosterlee, C.C.W. Leentvaar, X. Huang, Accurate American option pricing by grid stretching and high-order finite differences, Working papers, DIAM, Delft University of Technology, the Netherlands, 2005.
  • 11
    • 44649181977 scopus 로고    scopus 로고
    • W.F. Spotz, G.F. Carey, High-order compact finite difference methods, in: V. Andrew, V. Ilin, L. Ridgway Scott (Eds.), ICOSAHOM95, Proceedings of the Third International Conference on Spectral and High Order Methods, 1996, pp. 397-408.
    • W.F. Spotz, G.F. Carey, High-order compact finite difference methods, in: V. Andrew, V. Ilin, L. Ridgway Scott (Eds.), ICOSAHOM95, Proceedings of the Third International Conference on Spectral and High Order Methods, 1996, pp. 397-408.
  • 13
    • 0035499484 scopus 로고    scopus 로고
    • Extension of high order compact schemes to time dependent problems
    • Spotz W.F., and Carey G.F. Extension of high order compact schemes to time dependent problems. Numer. Methods Partial Differential Equations 17 6 (2001) 657-672
    • (2001) Numer. Methods Partial Differential Equations , vol.17 , Issue.6 , pp. 657-672
    • Spotz, W.F.1    Carey, G.F.2
  • 14
    • 44649121317 scopus 로고    scopus 로고
    • D.Y. Tangman, A. Gopaul, M. Bhuruth. A fast high-order finite difference algorithm for pricing American options, J. Comput. Appl. Math., submitted.
    • D.Y. Tangman, A. Gopaul, M. Bhuruth. A fast high-order finite difference algorithm for pricing American options, J. Comput. Appl. Math., submitted.
  • 16
    • 0002362312 scopus 로고    scopus 로고
    • A front-fixing finite difference method for the valuation of American options
    • Wu L., and Kwok Y.K. A front-fixing finite difference method for the valuation of American options. J. Financial Eng. 6 2 (1997) 83-97
    • (1997) J. Financial Eng. , vol.6 , Issue.2 , pp. 83-97
    • Wu, L.1    Kwok, Y.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.