Recently, the continuous double auction, i.e. the trading mechanism used in the majority of the financial markets, is the subject of an extensive study. In the present paper, a model of the continuous double auction with the completely random flow of the limit orders is studied. The main result...

We suggest a model of (a thin) market at which the number of participants is random with Poisson distribution. We provide a formula for joint distribution of the market price and the traded volume. We derive an asymptotic distribution of the quantities. We find that, according to our model, with...

Recently, models of limit order markets, particularly those of the continuous double auction, are subject to an intense research. Due to their complexity, the models are regarded to be analytically intractable. In the present paper, nonetheless, a closed form result is derived: the conditional...

We assume a thin market with finite number of buyers and sellers, each agent having a single jump demand xor supply function (the jump is unit). Further, we assume that number of each agent's arrival is a Poisson distributed random variable. We describe the joint distribution of the market price...

In the paper, the asymptotic distribution of the equilibrium price in markets with the random demand and supply is described. Two special cases - the one with smooth demand and supply curves and the one with jump demand and supply curves - are studied. It is found that in both the cases the...

The authors introduce an improved multi-factor credit risk model describing simultaneously the default rate and the loss given default. Their methodology is based on the KMV model, which they generalize in three ways. First, they add a model for loss given default (LGD), second, they bring...

We estimate the tail exponent of daily, weekly and monthly returns of 22 world stocks. We show that the left tails are significantly heavier than the right one. On the other hand, we find indications against the stylized fact that the tails of longer period returns lighter than those of the...