In this paper it is showed that the yield curve of the European Central Bank (ECB) does not satisfy the no arbitrage conditions. To construct a no-arbitrage yield curve, we need to add one more term to yield curve. As the state variables, it is necessary to choose a four-dimensional diffusion...

The stochastic mathematical model of the credit risk process is examined. It is assumed that in unstable economic condition of default may be a cause for credit risk. The fund value of the crediting is considered as some random variable that is changed step-wise at instants of the payments of a...