BibTex RIS Cite

Option pricing with Padé approximations

Year 2012, , 45 - 50, 01.08.2012
https://doi.org/10.1501/Commua1_0000000679

Abstract

In this paper, Pade approximations are applied Black-Scholes model
which reduces to heat equation. This paper shows various Pade approximaitons to obtain an effective and accurate solution to the Black-Scholes equation for a European put/call option pricing problem. At the end of the paper,
results of closed-form solution of Black-Scholes problem , solution of CrankNicolson approach and the solution of (1; 1), (1; 2), (2; 0), (2; 1), (2; 2) Pade
approximations are given at a table.

References

  • R. C. Merton, Optimum consumption and portfolio rules in a continuous time model, Journal of Economic Theory, Vol.3, No.4(1971), 373-413.
  • R. C. Merton, Theory of rational option pricing, Bell Journal of Economics and Management Sciences, Vol.4, No.1(1973), 141-183.
  • F. Black and M. Scholes, The pricing of options and corporate liabilities, Journal of Political Economiy, Vol.81, No.3(1973), 637-654.
  • G. D. Smith, Numerical Solution of Partial Diğerential Equations, Clarendon Press, 1982.
  • P. Brandimarte, Numerical Methods in Finance, Wiley Series, 2002.
  • R. U. Seydel, Tools for Computational Finance, Springer, 2009.
  • Ö. U¼gur, An Introduction to Computational Finance, Imperial College Press, 2009. Current address : Department of Mathematics, Hacettepe University, 06800, Ankara, TURKEY E-mail address : ckoroglu@hacettepe.edu.tr URL: http://communications.science.ankara.edu.tr/index.php?series=A1
Year 2012, , 45 - 50, 01.08.2012
https://doi.org/10.1501/Commua1_0000000679

Abstract

References

  • R. C. Merton, Optimum consumption and portfolio rules in a continuous time model, Journal of Economic Theory, Vol.3, No.4(1971), 373-413.
  • R. C. Merton, Theory of rational option pricing, Bell Journal of Economics and Management Sciences, Vol.4, No.1(1973), 141-183.
  • F. Black and M. Scholes, The pricing of options and corporate liabilities, Journal of Political Economiy, Vol.81, No.3(1973), 637-654.
  • G. D. Smith, Numerical Solution of Partial Diğerential Equations, Clarendon Press, 1982.
  • P. Brandimarte, Numerical Methods in Finance, Wiley Series, 2002.
  • R. U. Seydel, Tools for Computational Finance, Springer, 2009.
  • Ö. U¼gur, An Introduction to Computational Finance, Imperial College Press, 2009. Current address : Department of Mathematics, Hacettepe University, 06800, Ankara, TURKEY E-mail address : ckoroglu@hacettepe.edu.tr URL: http://communications.science.ankara.edu.tr/index.php?series=A1
There are 7 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Canan Köroğlu This is me

Publication Date August 1, 2012
Published in Issue Year 2012

Cite

APA Köroğlu, C. (2012). Option pricing with Padé approximations. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 61(2), 45-50. https://doi.org/10.1501/Commua1_0000000679
AMA Köroğlu C. Option pricing with Padé approximations. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2012;61(2):45-50. doi:10.1501/Commua1_0000000679
Chicago Köroğlu, Canan. “Option Pricing With Padé Approximations”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 61, no. 2 (August 2012): 45-50. https://doi.org/10.1501/Commua1_0000000679.
EndNote Köroğlu C (August 1, 2012) Option pricing with Padé approximations. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 61 2 45–50.
IEEE C. Köroğlu, “Option pricing with Padé approximations”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 61, no. 2, pp. 45–50, 2012, doi: 10.1501/Commua1_0000000679.
ISNAD Köroğlu, Canan. “Option Pricing With Padé Approximations”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 61/2 (August 2012), 45-50. https://doi.org/10.1501/Commua1_0000000679.
JAMA Köroğlu C. Option pricing with Padé approximations. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2012;61:45–50.
MLA Köroğlu, Canan. “Option Pricing With Padé Approximations”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 61, no. 2, 2012, pp. 45-50, doi:10.1501/Commua1_0000000679.
Vancouver Köroğlu C. Option pricing with Padé approximations. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2012;61(2):45-50.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.