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Volumn 129, Issue 2, 2006, Pages 227-254

Power penalty method for a linear complementarity problem arising from American option valuation

Author keywords

American options; Linear complementarity problems; Partial differential equations; Power penalty functions

Indexed keywords

CONSTRAINED OPTIMIZATION; NONLINEAR EQUATIONS; NUMERICAL METHODS; VARIATIONAL TECHNIQUES;

EID: 33845227043     PISSN: 00223239     EISSN: 15732878     Source Type: Journal    
DOI: 10.1007/s10957-006-9062-3     Document Type: Article
Times cited : (113)

References (22)
  • 2
    • 85015692260 scopus 로고
    • The pricing of options and corporate liabilities
    • BLACK, F., and SCHOLES, M., The Pricing of Options and Corporate Liabilities, Journal of Political Economy, Vol. 81, pp. 637-659, 1973.
    • (1973) Journal of Political Economy , vol.81 , pp. 637-659
    • Black, F.1    Scholes, M.2
  • 5
    • 0041753938 scopus 로고    scopus 로고
    • Convergence of numerical schemes for degenerate parabolic equations arising in finance theory
    • Edited by L.C.G. Rogers and D. Tallay, Cambridge University Press, Cambridge, UK
    • BARLES, G., Convergence of Numerical Schemes for Degenerate Parabolic Equations Arising in Finance Theory, Numerical Methods in Finance, Edited by L.C.G. Rogers and D. Tallay, Cambridge University Press, Cambridge, UK, pp. 1-21, 1997.
    • (1997) Numerical Methods in Finance , pp. 1-21
    • Barles, G.1
  • 6
    • 84976088813 scopus 로고
    • A more accurate finite-difference approximation for the valuation of options
    • COURTADOH, G., A More Accurate Finite-Difference Approximation for the Valuation of Options, Journal of Financial Economics Quantitative Analysis, Vol. 17, pp. 697-703, 1982.
    • (1982) Journal of Financial Economics Quantitative Analysis , vol.17 , pp. 697-703
    • Courtadoh, G.1
  • 7
    • 0010165151 scopus 로고
    • The valuation of warrants: Implementing a new approach
    • SCHWARTZ, E., The Valuation of Warrants: Implementing a New Approach, Journal of Financial Economics, Vol. 13, pp. 79-93, 1977.
    • (1977) Journal of Financial Economics , vol.13 , pp. 79-93
    • Schwartz, E.1
  • 8
    • 4243507949 scopus 로고    scopus 로고
    • An upwind numerical approach for an American and european option pricing model
    • VAZQUEZ, C., An Upwind Numerical Approach for an American and European Option Pricing Model, Applied Mathematics and Computation, Vol. 97, pp. 273-286, 1998.
    • (1998) Applied Mathematics and Computation , vol.97 , pp. 273-286
    • Vazquez, C.1
  • 9
    • 0035382419 scopus 로고    scopus 로고
    • Finite-element error estimates for a nonlocal problem in American option valuation
    • ALLEGRETTO, W., LIN, Y., and YANG, H., Finite-Element Error Estimates for a Nonlocal Problem in American Option Valuation, SIAM Journal on Numerical Analysis, Vol. 39, pp. 834-857, 2001.
    • (2001) SIAM Journal on Numerical Analysis , vol.39 , pp. 834-857
    • Allegretto, W.1    Lin, Y.2    Yang, H.3
  • 11
    • 0036447626 scopus 로고    scopus 로고
    • Quadratic convergence for valuing American options using a penalty method
    • FORSYTH, P. A., and VETZAL, K. R., Quadratic Convergence for Valuing American Options Using a Penalty Method, SIAM Journal on Statistical and Scientific Computing, Vol. 23, pp. 2095-2122, 2002.
    • (2002) SIAM Journal on Statistical and Scientific Computing , vol.23 , pp. 2095-2122
    • Forsyth, P.A.1    Vetzal, K.R.2
  • 15
    • 0035621414 scopus 로고    scopus 로고
    • A nonlinear lagrangian approach to constrained optimization problems
    • YANG, X. Q., and HUANG, X. X., A Nonlinear Lagrangian Approach to Constrained Optimization Problems, SIAM Journal on Optimization, Vol. 14, pp. 1119-1144, 2001.
    • (2001) SIAM Journal on Optimization , vol.14 , pp. 1119-1144
    • Yang, X.Q.1    Huang, X.X.2
  • 18
    • 7444272014 scopus 로고    scopus 로고
    • A novel fitted finite-volume method for the Black-Scholes equation governing option pricing
    • WANG, S., A Novel Fitted Finite-Volume Method for the Black-Scholes Equation Governing Option Pricing, IMA Journal of Numerical Analysis, Vol. 24, pp. 699-720, 2004.
    • (2004) IMA Journal of Numerical Analysis , vol.24 , pp. 699-720
    • Wang, S.1
  • 20
    • 77957217526 scopus 로고
    • A new nonconforming Petrov-Galerkin method with triangular elements for a singularly-perturbed advection-diffusion problem
    • MILLER, J. J. H., and WANG, S., A New Nonconforming Petrov-Galerkin Method with Triangular Elements for a Singularly-Perturbed Advection-Diffusion Problem, IMA Journal of Numerical Analysis, Vol. 14, pp. 257-276, 1994.
    • (1994) IMA Journal of Numerical Analysis , vol.14 , pp. 257-276
    • Miller, J.J.H.1    Wang, S.2
  • 21
    • 0002033584 scopus 로고
    • An exponentially fitted finite-element volume method for the numerical solution of 2D unsteady incompressible flow problems
    • MILLER, J.J.H., and WANG, S., An Exponentially Fitted Finite-Element Volume Method for the Numerical Solution of 2D Unsteady Incompressible Flow Problems, Journal of Computational Physics, Vol. 115, pp. 56-64, 1994.
    • (1994) Journal of Computational Physics , vol.115 , pp. 56-64
    • Miller, J.J.H.1    Wang, S.2
  • 22
    • 0003943048 scopus 로고
    • Prentice-Hall, Englewood Cliffs, New Jersey
    • VARGA, R. S., Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, New Jersey, 1962.
    • (1962) Matrix Iterative Analysis
    • Varga, R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.