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...

This project represents a basic design of a multilateral FX market that synthetically connected to the modern bilateral FX market. The essence of the multilateral FX market is an introduction of the single rates generating by the multilateral FX structures. These single rates are single currency...

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...

In this short notice we present critical comments on no-arbitrage principle. We show that no-arbitrage pricing is complete in a pricing theory which ignores market risk and is dealing with the deterministic implied price of instruments. There is a unique price of a derivative in deterministic...