The incidence of rare but extreme events appears to be significant in worldwide financial markets. In this chapter we apply extreme value theory (EVT) distributions to predict extreme losses of five South African (SA) financial times stock exchange/Johannesburg Stock Exchange (FTSE/JSE) closing...

With the exception of Bitcoin, there appears to be little or no literature on GARCH modelling of cryptocurrencies. This paper provides the first GARCH modelling of the seven most popular cryptocurrencies. Twelve GARCH models are fitted to each cryptocurrency, and their fits are assessed in terms...

In this paper, a new three-parameter Pareto distribution is introduced and studied. We discuss various mathematical and statistical properties of the new model. Some estimation methods of the model parameters are performed. Moreover, the peaks-over-threshold method is used to estimate...