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Pricing American options with Mellin transforms

  • Frontczak, Robert
  • Schöbel, Rainer
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    Mellin transforms in option pricing theory were introduced by Panini and Srivastav (2004). In this contribution, we generalize their results to European power options. We derive Black-Scholes-Merton-like valuation formulas for European power put options using Mellin transforms. Thereafter, we restrict our attention to plain vanilla options on dividend-paying stocks and derive the integral equations to determine the free boundary and the price of American put options using Mellin transforms. We recover a result found by Kim (1990) regarding the optimal exercise price of American put options at expiry and prove the equivalence of integral representations herein, the representation derived by Kim (1990), Jacka (1991), and by Carr et al. (1992). Finally, we extend the results obtained in Panini and Srivastav (2005) and show how the Mellin transform approach can be used to derive the valuation formula for perpetual American put options on dividend-paying stocks.

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    Paper provided by University of Tübingen, School of Business and Economics in its series Tübinger Diskussionsbeiträge with number 319.

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    Date of creation: 2008
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    Handle: RePEc:zbw:tuedps:319
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    1. Felbermayr, Gabriel & Toubal, Farid, 2010. "Cultural proximity and trade," Munich Reprints in Economics 20351, University of Munich, Department of Economics.
    2. repec:ebl:ecbull:v:4:y:2005:i:12:p:1-7 is not listed on IDEAS
    3. Ronald McKinnon & Gunther Schnabl, 2003. "The East Asian Dollar Standard, Fear of Floating, and Original Sin," Working Papers 03001, Stanford University, Department of Economics.
    4. Töpfer, Klaus, 2006. "Offene Fragen und wissenschaftliche Herausforderungen der Entwicklungsund Umweltpolitik," Tübinger Diskussionsbeiträge 301, University of Tübingen, School of Business and Economics.
    5. Werner Gueth & Manfred Stadler, 2004. "Path Dependence Without Denying Deliberation - An Exercise Model Connecting Rationality and Evolution -," Papers on Strategic Interaction 2004-07, Max Planck Institute of Economics, Strategic Interaction Group.
    6. Schnabl, Gunther, 2003. "China: a stabilizing or deflationary influence in East Asia?The problem of conflicted virtue," Tübinger Diskussionsbeiträge 263, University of Tübingen, School of Business and Economics.
    7. Grupp, Hariolf & Stadler, Manfred, 2004. "Technological Progress and Market Growth : An Empirical Study Based on the Quality-Ladder Approach," Tübinger Diskussionsbeiträge 281, University of Tübingen, School of Business and Economics.
    8. Schüle, Tobias, 2006. "Creditor coordination with social learning and endogenous timing of credit decisions," Tübinger Diskussionsbeiträge 307, University of Tübingen, School of Business and Economics.
    9. repec:zbw:cauewp:3194 is not listed on IDEAS
    10. Gunther Schnabl & Paul De Grauwe, 2004. "Nominal versus Real Convergence with Respect to EMU Accession - EMU Entry Scenarios for the New Member States," International Finance 0403008, EconWPA, revised 05 Jul 2004.
    11. Kleinert, Jörn & Toubal, Farid, 2005. "A Structural Model of Export versus Affiliates Production," Tübinger Diskussionsbeiträge 288, University of Tübingen, School of Business and Economics.
    12. Baur, Dirk & Schulze, Niels, 2005. "Coexceedances in financial markets--a quantile regression analysis of contagion," Emerging Markets Review, Elsevier, vol. 6(1), pages 21-43, April.
    13. Stadler, Manfred, 2006. "Education and innovation as twin-engines of growth," Tübinger Diskussionsbeiträge 302, University of Tübingen, School of Business and Economics.
    14. Gunther Schnabl, 2004. "De jure versus de facto Exchange Rate Stabilization in Central and Eastern Europe," International Finance 0404013, EconWPA.
    15. Kiesewetter, Dirk & Lachmund, Andreas, 2004. "Wirkungen einer Abgeltungssteuer auf Investitionsentscheidungen und Kapitalstruktur von Unternehmen
      [Effects of a flat rate tax on investment decisions and capital structure of companies]
      ," MPRA Paper 27177, University Library of Munich, Germany.
    16. Schnabl, Gunther, 2005. "Der Festkurs als merkantilistische Handelspolitik : Chinas Währungs- und Geldpolitik im Umfeld globaler Ungleichgewichte," Tübinger Diskussionsbeiträge 291, University of Tübingen, School of Business and Economics.
    17. Schüle, Tobias, 2006. "Forbearance lending and soft budget constraints in a model of multiple heterogeneous bank financing," Tübinger Diskussionsbeiträge 303, University of Tübingen, School of Business and Economics.
    18. Goerke, Laszlo & Pannenberg, Markus, 2007. "Trade union membership and work councils in West Germany," Tübinger Diskussionsbeiträge 311, University of Tübingen, School of Business and Economics.
    19. Godart, Olivier N. & Toubal, Farid, 2005. "Cross The Border and Close The Gap? : How Do Migrants Enhance Trade," Tübinger Diskussionsbeiträge 289, University of Tübingen, School of Business and Economics.
    20. Stadler, Manfred, 2004. "Bildung, Innovationsdynamik und Produktivitätswachstum," Tübinger Diskussionsbeiträge 280, University of Tübingen, School of Business and Economics.
    21. Felbermayr, Gabriel J. & Jung, Benjamin, 2008. "Trade intermediaries, incomplete contracts, and the choice of export modes," Tübinger Diskussionsbeiträge 317, University of Tübingen, School of Business and Economics.
    22. Licht, Georg & Stadler, Manfred, 2003. "Auswirkungen öffentlicher Forschungsförderung auf die private F&E-Tätigkeit: Eine mikroökonomische Evaluation," Tübinger Diskussionsbeiträge 256, University of Tübingen, School of Business and Economics.
    23. J.Baten & J.Wallusch, 2005. "Market Integration and Disintegration of Poland and Germany in the 18th Century," Economies et Sociétés (Serie 'Histoire Economique Quantitative'), Association Française de Cliométrie (AFC), issue 33, pages 1233-1264, July.
    24. Neubecker, Leslie & Stadler, Manfred, 2003. "In hunt for size: Merger formation in the oil industry," Tübinger Diskussionsbeiträge 258, University of Tübingen, School of Business and Economics.
    25. Kleinert, Jörn & Toubal, Farid, 2005. "Gravity for FDI," Center for European, Governance and Economic Development Research Discussion Papers 46, University of Goettingen, Department of Economics.
    26. Zaby, Alexandra K., 2005. "Losing the lead: Patents and the disclosure requirement," Tübinger Diskussionsbeiträge 296, University of Tübingen, School of Business and Economics.
    27. Kleinert, Jörn & Toubal, Farid, 2007. "The impact of locating production abroad on activities at home," Tübinger Diskussionsbeiträge 314, University of Tübingen, School of Business and Economics.
    28. Bayer, Stefan, 2003. "Possibilities and limitations of economically valuating ecological damages," Tübinger Diskussionsbeiträge 254, University of Tübingen, School of Business and Economics.
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