This article reviews and improves the theorems of the existence of restrictions near the boundaries of finite numerical segments and of the probability scale in the presence of non-zero dispersion. The non-zero dispersion may be caused, for example, by the influence of observation noises....

This paper studies valuation of debt based on some problems encountered in reality, the result reveals that on one hand though option pricing method is technically feasible, it cannot avoid some unconquerable deviations because of the bounded rationality of human being when in realistic...

The aim of this paper is to develop a framework for evaluating derivatives if the underlying of the derivative contract is supposed to be driven by a fractional Brownian motion with Hurst parameter greater than 0.5. For this purpose we first prove some results regarding the quasi-conditional...

The aim of this paper is to develop a framework for asset pricing in a continuous time general equilibrium model for a two country Lucas type economy. The model assumes that the output in the two countries follows a jump-diffusion stochastic process characterized by constant growth rates and...

In recent publications standard methods of random matrix theory have been applied to principal components analysis of high-dimensional financial data. We discuss the fundamental results and potential shortcomings of random matrix theory in the light of the stylized facts of empirical finance. It...

In this paper it is developed a framework for evaluating derivatives if the underlying of the derivative contract is supposed to be driven by a fractional Brownian motion with Hurst parameter greater than 0.5. For this purpose we first prove some results regarding the quasi-conditional...

The purpose of this paper is to obtain the price of the barrier options in a fractional Brownian motion environment in the special case of zero interest rate. As a consequence we derive a reflection principle for the fractional Brownian motion

We investigate how buyer-supplier firm-specific relationships affect security prices. We propose a structural model of firm dependence in a vertically connected network of firms based on cash flow transfers between buyers and suppliers. We prove that financial market completeness in a closed...

We consider an economy of firms with cross-held securities. The value of the debt contract in such a network depends on the value of other debt contracts. This has the potential to induce contagion effects. The article proposes a Monte-Carlo algorithm to solve the problem of debt prices in an...

The econometric literature of high frequency data usually relies on moment estimators which are derived from assuming local constancy of volatility and related quantities. We here show that this first order approximation is not always valid if used naively. We find that such approximations...