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Componentwise Splitting Methods for Pricing American Options under Stochastic Volatility (2005)  (Make Corrections)  
Samuli Ikonen, Jari Toivanen



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Abstract: E#cient numerical methods for pricing American options using Heston's stochastic volatility model is proposed. Based on this model the price of a European option can be obtained by solving a two-dimensional parabolic partial di#erential equation. For an American option the early exercise possibility leads to a lower bound for the price of the option. This price can be computed by solving a linear complementarity problem. (Update)

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BibTeX entry:   (Update)

@misc{ ikonen-componentwise,
  author = "Samuli Ikonen and Jari Toivanen",
  title = "Componentwise Splitting Methods for Pricing American Options under Stochastic
    Volatility",
  url = "citeseer.ist.psu.edu/ikonen05componentwise.html" }
Citations (may not include all citations):
434   The pricing of options and corporate liabilities (context) - Black, Scholes - 1973
88   A closed-form solution for options with stochastic volatilit.. (context) - Heston - 1993
40   Upper Saddle River (context) - Hull, futures et al. - 1997
28   Weak and variational methods for moving boundary problems (context) - Elliott, Ockendon - 1982
27   The valuation of American put options (context) - Brennan, Schwartz - 1977
24   Derivatives in financial markets with stochastic volatility (context) - Fouque, Papanicolaou et al. - 2000
22   Splitting and alternating direction methods (context) - Marchuk - 1990
22   the construction and comparison of di#erence schemes (context) - Strang - 1968
20   Penalty methods for American options with stochastic volatil.. - Zvan, Forsyth et al. - 1998
20   The mathematics of financial derivatives (context) - Wilmott, Howison et al. - 1995
19   the numerical solution of heat conduction problems in two an.. (context) - Douglas, Rachford et al. - 1956
16   Implementing derivatives models (context) - Clewlow, Strickland - 1999
16   Multigrid algorithms for the solution of linear complementar.. (context) - Brandt, Cryer - 1983
11   The solution of a quadratic programming problem using system.. (context) - Cryer - 1971
9   volume 14 of Springer Series in Computational Mathematics (context) - Hairer, Wanner et al. - 1996
8   The multigrid solution of two-factor American put options (context) - Clarke, Parrott - 1996
6   erence method in partial di#erential equations (context) - Mitchell, Gri et al. - 1980
6   On multigrid for linear complementarity problems with applic.. (context) - Oosterlee - 2003
6   Multigrid for American option pricing with stochastic volati.. (context) - Clarke, Parrott - 1999
4   Quadratic convergence for valuing American options using a p.. - Forsyth, Vetzal - 2095
4   An alternating direction implicit scheme for parabolic equat.. (context) - McKee, Wall et al. - 1996
4   cients in two-factor option pricing models (context) - Zvan, Forsyth et al. - 2003
4   Finite element methods for incompressible viscous flow (context) - Glowinski - 2003
4   Mesh adaption for the Black and Scholes equations (context) - Pironneau, Hecht - 2000
4   Finite element solution of di#usion problems with irregular .. (context) - Rannacher - 1984
4   Pricing financial instrument (context) - Tavella, Randall - 2000
4   The numerical solution of parabolic and elliptic di#erential.. (context) - Peaceman, Rachford - 1955
3   Tools for computational finance (context) - Seydel - 2002
3   Parabolic ADI methods for pricing American options on two st.. (context) - Villeneuve, Zanette - 2002
2   On multigrid for anisotropic equations and variational inequ.. (context) - Reisinger, Wittum - 2004
2   Alternating direction methods for parabolic equations in two.. (context) - McKee, Mitchell - 1970
2   The solution of problems of mathematical physics in several .. (context) - Yanenko, of - 1971
1   Operator splitting methods for pricing American options with.. - Ikonen, Toivanen - 2004
1   Financial instrument pricing using C (context) - Du - 2004
1   Pricing European options using a space-time adaptive FD-meth.. (context) - Persson, von Sydow - 2005
1   cient solution of linear complementarity problems for tridia.. (context) - Cryer - 1983
1   volume 115 of Teubner Texts in Mathematics (context) - Windisch, numerical - 1989
1   Remedies for non-smooth payo#s in option pricing (context) - Pooley, Vetzal et al. - 2003

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