We explain that the options price definition given by Black and Scholes contradicts our experience. Then the risk neutral interpretation of the solution of the Black Scholes equation is a mathematical mistake

This paper deals with the option-pricing problem. In the first part of the paper we study in more details the discrete setting of the option-pricing problem usually referred to as the binomial scheme. We highlight basic differences between the old and the new approaches. The main qualitative...

In this paper, we present somewhat alternative point of view on early exercised American options. The standard valuation of the American options the exercise moment is defined as one, which guarantees the maximum value of the option. We discuss the standard approach in the first two sections of...

In this paper we develop a model of corporate bonds pricing. We begin with default definition which is similar to one that is used in the standard reduced form of default model. The primary distinction between our model and reduced form of default model is interpretation of the date-t price of...

Regulations of the market require disclosure of information about the nature and extent of risks arising from the trades of the market instruments. There are several significant drawbacks in fixed income pricing modeling. In this paper we interpret a corporate bond price as a random variable. In...

The document IFRS 7 requires disclosure of information about the nature and extent of risks arising from trading those instruments. There are several significant drawbacks in derivative price modeling which relate to global regulations of the derivatives market. Here we present a unified...