A Barrier Option of American Type

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A Barrier Option of American Type

We obtain closed–form expressions for the prices and optimal hedging strategies of American put–options in the presence of an “up–and–out” barrier, both with and without constraints on the short–selling of stock. The constrained case leads to a stochastic optimization problem of mixed optimal stopping/singular control type. This is reduced to a variational inequality which is then solved explic...

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ژورنال

عنوان ژورنال: Applied Mathematics and Optimization

سال: 2000

ISSN: 0095-4616,1432-0606

DOI: 10.1007/s002450010013