Controlled random fields, von Neumann – Gale dynamics and multimarket hedging with risk
We develop a model of asset pricing and hedging for interconnected financial markets with frictions – transaction costs and portfolio constraints. The model is based on a control theory for random fields on a directed graph. Market dynamics are described by using von Neumann – Gale dynamical systems first considered in connection with the modelling of economic growth [13,24]. The main results are hedging criteria stated in terms of risk-acceptable portfolios and consistent price systems, extending the classical superreplication criteria formulated in terms of equivalent martingale measures.
World fi nancial crisis and increased volatility of major economic indicators raised attention to the problem of fi nancial risk management in corporations, and to the possibilities of fi nancial derivatives usage for hedging. In perfect markets hedging by means of derivatives allows corporations to mitigate fi nancial risks allowing for minimum costs. Current paper examines factors that restrict usage of derivatives for hedging currency risks by corporations on Russian fi nancial market. It is concluded that on Russian market it is reasonable to use internal facilities as basic method of currency risk management: asset/liability management, regulation of debt
currency structure, diversifi cation, etc. Derivatives should be used in addition to these facilities in very limited volumes for hedging the most predictable sources of risk.
Overvaluation on financial markets, high price volatility and quite rapid reduction of emerging markets towards an investment behavior field in terms of predictive estimation and forecast of further market changes. Hereby decision-making basis is a personal investment understanding and, due to favorable business climate, could build up the growth of irrational exuberance and speculative bubbles on financial markets.
This study models Market Certainty Index as a measure of asset overpricing and market overvaluation in terms of a speculative bubble concept. The results also provide insights of how to enhance the facility of overpriced assets studies at non-transparent economies or emerging markets.
The article studies the correlation between emotional and cognitive competences of students during the course of academic writing in English and their influence on writing skills development, particularly, the ability and desire of learners to mitigate their academic stance expression. In the process of academic text production there can arise negative emotions, which block learners’ thinking abilities. Understanding these can help students cope with them and also boost the thinking process. The development of emotional competence is also seen in the context of academic writing learning because due to cultural peculiarities Russian students tend to be categorical in their utterances and excessively emotional. The results of the experiment, with 30 participants studying at a university, show that emotional and cognitive competences can be crucial constructs in learning skills in the context of explicit academic writing teaching. Introducing the theory of emotional intelligence to the students as a means of pedagogical exposure has shown a positive effect on the learning process; due to comparatively well-developed cognitive abilities the student succeeded in applying the interpersonal component of emotional intelligence in writing for understanding the reader’s perception.
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.