Abstract
Analytical solutions of the mathematical equations modeling the behavior of financial derivatives, like the price of option contracts, are seldom available. Only in the simplest cases, e.g., vanilla European put and call options, do analytical solutions exist. For most other option models, numerical techniques must be applied to compute solutions of the mathematical models. For exotic option contracts, computing the option prices numerically may be the only pricing mechanism available.
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References
D. Braess. Finite elements. Cambridge University Press, 1997.
L. Clewlow and C. Strickland. Implementing derivative models. John Wiley & Sons, 1998.
Diffpack. See http://www.nobjects.no/ for further information.
Y. K. Kwok. Mathematical models of financial derivatives. Springer-Verlag, 1998.
H. P. Langtangen. Computational Partial Differential Equations. Numerical Methods and Diffpack Programming. Springer-Verlag, 1999.
R. J. Larsen and M. L. Marx. Mathematical Statistics and Its Applications. Prentice-Hall, 1986.
B. F. Nielsen, O. Skavhaug, and A. Tveito. Penalty and Front-Fixing Methods for the Numerical Solution of American Option Problems. The Journal of Computational Finance, 5(4):69–97, 2002.
O. Skavhaug, B. F. Nielsen, and A. Tveito. Mathematical Models of Financial Derivatives. In H. P. Langtangen and A. Tveito, editors, Advanced Topics in Computational Partial Differential Equations-Numerical Methods and Diff-pack Programming. Springer, 2003.
P. Wilmott. Derivatives, The theory and practice of financial engineering. John Wiley & Sons, 1998.
P. Wilmott, J. Dewynne, and S. Howison. Option Pricing, Mathematical models and computation. Oxford Financial Press, 1993.
R. Zvan, P. A. Forsyth, and K. R. Vetzal. Penalty Methods for American Options With Stochastic Volatility. Journal of Computational and Applied Mathematics, 91(2):199–218, 1998.
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Skavhaug, O., Nielsen, B.F., Tveito, A. (2003). Numerical Methods for Financial Derivatives. In: Langtangen, H.P., Tveito, A. (eds) Advanced Topics in Computational Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18237-2_12
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DOI: https://doi.org/10.1007/978-3-642-18237-2_12
Publisher Name: Springer, Berlin, Heidelberg
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