Arbitrage-Free Conditions and Hedging Strategies for Markets with Penalty Costs on Short Positions


Autoria(s): Costa, Oswaldo Luiz do Valle; Queiroz Filho, E. V.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

29/10/2013

29/10/2013

2012

Resumo

We consider a discrete-time financial model in a general sample space with penalty costs on short positions. We consider a friction market closely related to the standard one except that withdrawals from the portfolio value proportional to short positions are made. We provide necessary and sufficient conditions for the nonexistence of arbitrages in this situation and for a self-financing strategy to replicate a contingent claim. For the finite-sample space case, this result leads to an explicit and constructive procedure for obtaining perfect hedging strategies.

CNPq (Brazilian National Research Council) [301067/09-0]

Brazilian National Research Council (CNPq)

USP

USP

Identificador

MATHEMATICAL PROBLEMS IN ENGINEERING, NEW YORK, v. 107, n. 11, supl., Part 3, pp. 3008-3019, JUN, 2012

1024-123X

http://www.producao.usp.br/handle/BDPI/36481

10.1155/2012/937324

http://dx.doi.org/10.1155/2012/937324

Idioma(s)

eng

Publicador

HINDAWI PUBLISHING CORPORATION

NEW YORK

Relação

MATHEMATICAL PROBLEMS IN ENGINEERING

Direitos

openAccess

Copyright HINDAWI PUBLISHING CORPORATION

Palavras-Chave #VARIANCE PORTFOLIO SELECTION #TRANSACTION COSTS #DISCRETE-TIME #FUNDAMENTAL THEOREM #CONE CONSTRAINTS #OPTIMIZATION #REPLICATION #OPTIONS #MODELS #RESTRICTIONS #ENGINEERING, MULTIDISCIPLINARY #MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Tipo

article

original article

publishedVersion