IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/18225.html
   My bibliography  Save this paper

On financial derivatives and differential equations used in their assessment

Author

Listed:
  • Teselios, Delia
  • Albici, Mihaela

Abstract

This paper deals with the assessment of options on dividend paying stock and futures options. We start from the case of the underlying asset who does not generate dividend and then switch to an underlying asset which pays a continuous dividend yield. The final conditions and the boundary conditions added to a partial differential equation, allow an accurate determination of the solution.

Suggested Citation

  • Teselios, Delia & Albici, Mihaela, 2009. "On financial derivatives and differential equations used in their assessment," MPRA Paper 18225, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:18225
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/18225/1/MPRA_paper_18225.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Lyuu,Yuh-Dauh, 2002. "Financial Engineering and Computation," Cambridge Books, Cambridge University Press, number 9780521781718.
    2. Hirsa, Ali & Neftci, Salih N., 2013. "An Introduction to the Mathematics of Financial Derivatives," Elsevier Monographs, Elsevier, edition 3, number 9780123846822.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dapena, Jose Pablo, 2003. "On the Valuation of Companies with Growth Opportunities," Journal of Applied Economics, Universidad del CEMA, vol. 6(1), pages 1-24, May.
    2. Ingrid Groessl & Ulrich Fritsche, 2006. "The Store-of-Value-Function of Money as a Component of Household Risk Management," Macroeconomics and Finance Series 200606, University of Hamburg, Department of Socioeconomics.
    3. Peter Christoffersen & Christian Dorion & Kris Jacobs & Lotfi Karoui, 2014. "Nonlinear Kalman Filtering in Affine Term Structure Models," Management Science, INFORMS, vol. 60(9), pages 2248-2268, September.
    4. Marcelle Chauvet & Simon Potter, 2005. "Forecasting recessions using the yield curve," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 24(2), pages 77-103.
    5. Markus Stowasser, 2011. "Modelling rain risk: a multi-order Markov chain model approach," Journal of Risk Finance, Emerald Group Publishing, vol. 13(1), pages 45-60, December.
    6. Richard W. Booser, 2018. "An Algorithm Exploiting Episodes of Inefficient Asset Pricing to Derive a Macro-Foundation Scaled Metric for Systemic Risk: A Time-Series Martingale Representation," Journal of Applied Finance & Banking, SCIENPRESS Ltd, vol. 8(1), pages 1-3.
    7. Kyoung-Sook Moon & Yunju Jeong & Hongjoong Kim, 2016. "An Efficient Binomial Method for Pricing Asian Options," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 50(2), pages 151-164.
    8. Nneka Umeorah & Phillip Mashele & Matthias Ehrhardt, 2021. "Pricing basket default swaps using quasi-analytic techniques," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(1), pages 241-267, June.
    9. T. Verbeke & M. De Clercq, 2003. "Environmental policy uncertainty, policy coordination and relocation decisions," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 03/208, Ghent University, Faculty of Economics and Business Administration.
    10. Jongwoo Lee & Dean Paxson, 2003. "Confined exponential approximations for the valuation of American options," The European Journal of Finance, Taylor & Francis Journals, vol. 9(5), pages 449-474.
    11. Dette, Holger & Weißbach, Rafael, 2006. "A Bootstrap Test for the Comparison of Nonlinear Time Series - with Application to Interest Rate Modelling," Technical Reports 2006,30, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    12. Ahmed Abutaleb & Michael G. Papaioannou, 2007. "Malliavin Calculus For The Estimation Of Time-Varying Regression Models Used In Financial Applications," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 10(05), pages 771-800.
    13. Ömür Ugur, 2008. "An Introduction to Computational Finance," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number p556, February.
    14. Michael McAleer & Kim Radalj, 2013. "Herding, Information Cascades and Volatility Spillovers in Futures Markets," Journal of Reviews on Global Economics, Lifescience Global, vol. 2, pages 307-329.
    15. Michael Kurz, 2018. "Closed-form approximations in derivatives pricing: The Kristensen-Mele approach," Papers 1804.08904, arXiv.org.
    16. Hendershott, Patric H & Ward, Charles W R, 2003. "Valuing and Pricing Retail Leases with Renewal and Overage Options," The Journal of Real Estate Finance and Economics, Springer, vol. 26(2-3), pages 223-240, March-May.
    17. Da-Rocha, José-María & Restuccia, Diego & Tavares, Marina M., 2023. "Policy distortions and aggregate productivity with endogenous establishment-level productivity," European Economic Review, Elsevier, vol. 155(C).
    18. Tian-Shyr Dai, 2009. "Efficient option pricing on stocks paying discrete or path-dependent dividends with the stair tree," Quantitative Finance, Taylor & Francis Journals, vol. 9(7), pages 827-838.
    19. Katia Rocha & Francisco A. Alcaraz Garcia, 2015. "The Term Structure of Sovereign Spreads in Emerging Markets: a Calibration Approach for Structural Models," Discussion Papers 0135, Instituto de Pesquisa Econômica Aplicada - IPEA.
    20. Valerii Salov, 2017. "Trading Strategies with Position Limits," Papers 1712.07649, arXiv.org.

    More about this item

    Keywords

    differential equation; options on dividend paying stock; futures options; Black_Scholes’ model; Black’s model;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:18225. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.