Valuation of exotic options under shortselling constraints
AbstractOptions with discontinuous payoffs are generally traded above their theoretical Black-Scholes prices because of the hedging difficulties created by their large delta and gamma values. A theoretical method for pricing these options is to constrain the hedging portfolio and incorporate this constraint into the pricing by computing the smallest initial capital which permits super-replication of the option. We develop this idea for exotic options, in which case the pricing problem becomes one of stochastic control. Our motivating example is a call which knocks out in the money, and explicit formulas for this and other instruments are provided.
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Bibliographic InfoArticle provided by Springer in its journal Finance and Stochastics.
Volume (Year): 6 (2002)
Issue (Month): 2 ()
Note: received: January 2000; final version received: February 2001
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Web page: http://www.springerlink.com/content/101164/
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- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
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- Imen Bentahar & Bruno Bouchard, 2006. "Barrier Option Hedging under Constraints: A Viscosity Approach," SFB 649 Discussion Papers SFB649DP2006-022, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Bouchard, Bruno, 2008. "Optimal reflection of diffusions and barrier options pricing under constraints," Economics Papers from University Paris Dauphine 123456789/1930, Paris Dauphine University.
- Kasper Larsen & H. Mete Soner & Gordan Zitkovic, 2014. "Facelifting in Utility Maximization," Papers 1404.2227, arXiv.org.
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