Option pricing in the Cox-Ross-Rubinstein model with transaction costs is studied. Using a cone transformation approach a complete characterization of perfectly hedged options is given.
Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland
Bibliografia
[BLPS] B. Bensaid, J. P. Lesne, H. Pagès and J. Scheinkman, Derivative asset pricing with transaction costs, Math. Finance 2 (1992), 63-83.
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[ENU] C. Edirisinghe, V. Naik and R. Uppal, Optimal replication with transaction costs and trading restrictions, J. Financial Quant. Anal. 28 (1993), 117-138.
[MV] F. Mercurio and T. C. F. Vorst, Option pricing and hedging in discrete time with transaction costs and incomplete markets, preprint.
[MS] M. Motoczyński and Ł. Stettner, On option pricing in the multidimensional Cox-Ross-Rubinstein model, Appl. Math. (Warsaw), to appear.
[R] M. Rutkowski, Optimality of replicating strategies in the CCR model with proportional transaction costs, ibid., to appear.
[SSC] H. M. Soner, S. E. Schreve and J. Cvitanić, There is no nontrivial portfolio for option pricing with transaction costs, Ann. Appl. Probab. 5 (1995), 327-355.
[SKKM] I. Shiryaev, Yu. M. Kabanov, D. O. Kramkov and A. V. Melnikov, On the theory of pricing of European and American options, I: Discrete time, Teor. Veroyatnost. i Primenen. 39 (1994), 23-79 (in Russian).
[TZ] G. Tessitore and J. Zabczyk, Pricing options for multinomial models, Bull. Polish Acad. Sci. Math. 44 (1996), 363-380.
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Bibliografia
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