We consider the superlinear boundary value problemuʺ + awhere γ > 0 and a

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We present a new method for obtaining fast and accurate estimates of the price of an American put option by binomial trees. The method is based on the interpolation of suitable values obtained by modifying the contractual strike. A time-saving procedure allows us to derive all the interpolating data from a unique standard backward procedure. Mathematics Subject Classification (2000): 91B28Journal of Economic Literature Classification: C63

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The aim of this work is to present a modification of the standard binomial method which allows to price American barrier options improving the efficiency of the trinomial methods. Our approach is based on a suitable interpolation of binomial values and allows to price and hedge such options also in the critical case of near barriers. All the different types of single barrier options are considered, in the case of knock-in barriers a new implementation of the binomial method is provide