In the following paper we propose the method for option pricing based on application of stochastic analysis and theory of fuzzy numbers. The process of underlying asset trajectory belongs to a subclass of Levy processes with jumps. From practical point of view some parameters of such trajectory...

The increasing number of natural catastrophes like floods, hurricanes, and earthquakes not only causes many victims, but also leads to severe production, infrastructure, and individual property losses. Classic insurance mechanisms may be inadequate for dealing with such losses because of the...