In this paper we propose an option pricing model based on the Ornstein–Uhlenbeck process. It is a fresh look at the option pricing which is grounded on the quantum game theory and it is more subtle. We show the differences between a classical look which is price changing by a Wiener process...

Mapping time series into a visibility graph network, the characteristics of the gold price time series and return temporal series, and the mechanism underlying the gold price fluctuation have been explored from the perspective of complex network theory. The network degree distribution...

Most parameters used to describe states and dynamics of financial market depend on proportions of the appropriate variables rather than on their actual values. Therefore, projective geometry seems to be the correct language to describe the theater of financial activities. We suppose that the...

This study aims to investigate whether the phenomena found by Shnoll et al. when applying histogrampattern analysis techniques to stochastic processes from chemistry and physics are also present infinancial time series, particularly exchange rate and index data. The phenomena are related to...

Both unconditional mixed-normal distributions and GARCH models with fat-tailed conditional distributions have been employed for modeling financial return data. We consider a mixed-normal distribution coupled with a GARCH-type structure which allows for conditional variance in each of the...