Over the last two decades, default rates and market risk have increased substantially. A consequence of the growing global interlacing is a strong dependence between both individual stock returns and credit events. Risk management (especially risk diversification) is much more challenging,...

In this study, a multivariate ARMA-GARCH model with fractional generalized hyperbolic innovations exhibiting fat-tail, volatility clustering, and long-range dependence properties is introduced. To define the fractional generalized hyperbolic process, the non-fractional variant is derived by...

A stochastic difference game is considered in which a player wants to minimize the time spent by a controlled one-dimensional symmetric random walk {𝑋𝑛,𝑛=0,1,…} in the continuation region 𝐶:={1,2,…}, and the second player seeks to maximize the survival time in C. The process...