Minimizing Transaction Costs Of Option Hedging Strategies
AbstractThis paper introduces a method for constructing option hedging strategies in the presence of transaction costs. the approach begins with the prescription of a large, but tractable class of strategies. A variational problem is constructed in which the expected square replication error is minimized subject to a fixed initial portfolio value from among the class of strategies. the solution of this variational problem results in a replicating strategy which simulations show outperforms strategies previously considered. We illustrate this method in a particular class of strategies which contains Leland's discrete time replication scheme. We show that a strategy which uses varying time intervals between hedging can significantly reduce replication error for a given initial wealth. We will also construct and assess strategies obtained by optimizing a mean-variance criterion. This methodology extends to other optimization problems involving initial portfolio value and expected square replication error, as well as to other classes of strategies. Copyright 1996 Blackwell Publishers.
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Bibliographic InfoArticle provided by Wiley Blackwell in its journal Mathematical Finance.
Volume (Year): 6 (1996)
Issue (Month): 4 ()
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Web page: http://www.blackwellpublishing.com/journal.asp?ref=0960-1627
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- Bertsimas, Dimitris & Kogan, Leonid & Lo, Andrew W., 2000. "When is time continuous?," Journal of Financial Economics, Elsevier, vol. 55(2), pages 173-204, February.
- Fehle, Frank, 2004. "A note on transaction costs and the existence of derivatives markets," Journal of Economics and Business, Elsevier, vol. 56(1), pages 63-70.
- Emmanuel Denis & Yuri Kabanov, 2010.
"Mean square error for the Leland–Lott hedging strategy: convex pay-offs,"
Finance and Stochastics,
Springer, vol. 14(4), pages 625-667, December.
- Lépinette-Denis, Emmanuel & Kabanov, Yuri, 2010. "Mean square error for the Leland-Lott hedging strategy: convex pay-offs," Economics Papers from University Paris Dauphine 123456789/4654, Paris Dauphine University.
- George M. Constantinides & Stylianos Perrakis, 2002.
"Stochastic Dominance Bounds on Derivative Prices in a Multiperiod Economy with Proportional Transaction Costs,"
NBER Working Papers
8867, National Bureau of Economic Research, Inc.
- Constantinides, George M. & Perrakis, Stylianos, 2002. "Stochastic dominance bounds on derivatives prices in a multiperiod economy with proportional transaction costs," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1323-1352, July.
- Nicole Branger & Antje Mahayni, 2011. "Tractable hedging with additional hedge instruments," Review of Derivatives Research, Springer, vol. 14(1), pages 85-114, April.
- Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742 Elsevier.
- Balder, Sven & Brandl, Michael & Mahayni, Antje, 2009. "Effectiveness of CPPI strategies under discrete-time trading," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 204-220, January.
- Branger, Nicole & Mahayni, Antje, 2006. "Tractable hedging: An implementation of robust hedging strategies," Journal of Economic Dynamics and Control, Elsevier, vol. 30(11), pages 1937-1962, November.
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