A closed-form solution to the problem of super-replication under transaction costs
AbstractWe study the problem of finding the minimal price needed to dominate European-type contingent claims under proportional transaction costs in a continuous-time diffusion model. The result we prove has already been known in special cases - the minimal super-replicating strategy is the least expensive buy-and-hold strategy. Our contribution consists in showing that this result remains valid for general path-independent claims, and in providing a shorter and more intuitive, financial mathematics-type proof. It is based on a previously known representation of the minimal price as a supremum of the prices in corresponding shadow markets, and on a PDE (viscosity) characterization of that representation.
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Bibliographic InfoArticle provided by Springer in its journal Finance and Stochastics.
Volume (Year): 3 (1999)
Issue (Month): 1 ()
Note: received: May 1997; final version received: October 1997
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Web page: http://www.springerlink.com/content/101164/
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- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
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- Tzuu-Shuh Chiang & Shang-Yuan Shiu & Shuenn-Jyi Sheu, 2007. "Price systems for markets with transaction costs and control problems for some finance problems," Papers math/0702828, arXiv.org.
- Frank de Jong, 2005.
"Valuation of pension liabilities in incomplete markets,"
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067, Netherlands Central Bank, Research Department.
- De Jong, Frank, 2008. "Valuation of pension liabilities in incomplete markets," Journal of Pension Economics and Finance, Cambridge University Press, vol. 7(03), pages 277-294, November.
- Giuseppe Benedetti & Luciano Campi & Jan Kallsen & Johannes Muhle-Karbe, 2011. "On the existence of shadow prices," Working Papers hal-00645980, HAL.
- C. Atkinson & C. A. Alexandropoulos, 2006. "Pricing a European Basket Option in the Presence of Proportional Transaction Costs," Applied Mathematical Finance, Taylor & Francis Journals, vol. 13(3), pages 191-214.
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- Cvitanic, Jaksa & Wang, Hui, 2001. "On optimal terminal wealth under transaction costs," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 223-231, April.
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