We consider discrete time hedging error of the American put option in case of
brusque fluctuations in the price of assets. Since continuous time hedging
is not possible in practice so we consider discrete time hedging process. We
show that if the proportions of jump sizes in the asset price are
identically distributed independent random variables having finite moments
then the value process of the discrete time hedging uniformly approximates
the value process of the corresponding continuous-time hedging in the sense
of L1 and L2-norms under the real world probability measure.
Hedging error estimate of the american put option problem in jump-diffusion processes
