We are concerned with the problem of pricing plain-vanilla and barrier options with cash dividends in a piecewise lognormal model. In the plain-vanilla case, we offer a method with provides thin upper and lower bounds of the exact binomial price. In the barrier case, we provide an efficient algorithm based on suitable interpolation techniques. As by-product, we provide a new method for pricing American barrier options with continuous dividends.

Pricing American barrier options with discrete dividends by binomial trees

GAUDENZI, Marcellino;ZANETTE, Antonino
2009-01-01

Abstract

We are concerned with the problem of pricing plain-vanilla and barrier options with cash dividends in a piecewise lognormal model. In the plain-vanilla case, we offer a method with provides thin upper and lower bounds of the exact binomial price. In the barrier case, we provide an efficient algorithm based on suitable interpolation techniques. As by-product, we provide a new method for pricing American barrier options with continuous dividends.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/862974
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