In this paper that is the second part of [1] we outlined basic of foreign exchange and its randomization. We presented a model of forward rate implied by stochastic bond prices. A particular attention is paid to a construction of the LIBOR rate. In our models we distinct stochastic pricing of a...

In this paper, we outline a randomization of the primary fixed income notions. We present a construction of some stochastic interest rate models. We also consider forward rates which are implied by stochastic bond prices. We highlight to major drawbacks of the commonly used stochastic models....

In these two papers, ‘Multiple Risky Securities Valuation I - II', we represented a simplified scheme of the CDO's tranches valuation. The main difference between our approach and benchmark is that we dealing with market cash flows in contrast to expected cash flows usually used for...

In this paper we develop an approach to valuation of a multiple names security portfolio. The goal of the paper to present pricing and calculation of the risk characteristics of the corporate debt based on randomization of the historical data of a portfolio assets. Our approach close but it does...

The concept of the Local Volatility was developed in [1-3]. Later this concept was broadly generalized and extends in particular to cover stochastic local volatility phenomena. A number of companies offer their products which call for more accurate forecast of options pricing and one can check...

In this paper we represent alternative approach for exotics options valuation problem. We study the time-space discrete valuation setting that usually referred to as the binomial scheme if states are two. The main distinction of the alternative pricing approach is that we interpret price of the...

This paper presents a fallacy of the Black and Scholes' (BS) option pricing concept. The BS pricing is still the unique theoretical way for pricing derivatives though quite a large number of expert have found a lot of remarks concerning its theoretical and practical failings. We should note that...

In this paper we focus on the concept of a discount rate. In [1] one expressed some concerns regarding the models that present randomization of the discount rate. This paper proposed a new approach to the construction of variable deterministic and stochastic interest rates. This approach is...