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  Super-replication under Gamma constraint (1998) [6 citations — 2 self]

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by H. Mete Soner, Nizar Touzi
SIAM J.Control and Opt
http://www.princeton.edu/~soner/gammafinal.pdf
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Abstract:

1 We gratefully acknowledge conversations with Professor F. Delbaen � in particular he has provided us with the key idea in the proof of Lemma 11.5. 2

Citations

754 The Pricing of Options and Corporate Liabilities – Black, Scholes - 1973
289 Brownian motion and stochastic calculus – Karatzas, Shreve - 1988
277 User’s guide to viscosity solutions of second order partial differential equations – CRANDALL, ISHII, et al. - 1992
34 Partial di¤erential equations of parabolic type – Friedman - 1964
32 Stochastic integration and dierential equations – Protter - 1990
22 Hedging contingent claims with constrained portfolios – Cvitanic, Karatzas - 1993
22 Martingales and arbitrage in securities markets with transaction costs – Jouini, Kallal - 1995
17 There is no nontrivial hedging portfolio for option pricing with transaction costs – Soner, Shreve, et al. - 1995
14 Super-replication in stochastic volatility models under portfolio constraints – Cvitanic, Pham, et al. - 1997
12 Optimal Replication of Contingent Claims under Portfolio Constraints – Broadie, Cvitanić, et al. - 1998
11 Controlled Di#usion Processes – Krylov - 1980