Abstract
We consider a financial market where there are brusque variations in the price of an asset and an European option on this asset. In
this setup the value as well as the hedging process functions are expressed
in the form of infinite series. For finite expectation of the jumps proportions, we give sufficient condition on the payoff function which leads to
the convergence of the infinite series. We also obtain the upper bound
for the value function, hedging portfolio process as well as for the hedging process in the Black-Sholes setup. Moreover, we use probabilistic
approach to investigate the variation of the value function.
Sultan Hussain, Sameera Bano, Zakir Hussain, Nasir Rehman. (2017) Stability of the European Option Value Function Under Jump-Diffusion Process, Punjab University Journal of Mathematics, Volume 49, Issue 3.
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