Алгоритм оценки параметров стохастической динамики срочной структуры процентных ставок
The paper presents a review of stochastic framework for term structure modeling and shows comparative advantages of commonly used techniques. The main application of the research is coherent modeling of credit and interest rate risk for Euro zone issuers.
This article investigates the behavior of the Russian government bond yields and its sensitivity to a selected range of macroeconomic, monetary, international and event factors. The analysis concerns both individual and joint, short-term and long-term influence of factors under study, with emphasis to the most informative determinants of yields. In whole the results of the empirical study using monthly data from 2003 to 2009 indicate a major significant role of changes in monetary factors, notably the minimum repo rate and the interbank interest rate, as well as of foreign exchange rate risk factor. Joint influence of theoretical fundamentals, namely inflation and its expectations, exchange rate and money supply growth, explain less than a third of bond yields movements. On the other hand, no importance of GDP and domestic debt growth as well as of external risk factors, such as oil prices, foreign interest rates and changes in international reserves is found. Also the results provide evidence for the fact that most government bond yields respond to certain political and economic events and reflect crisis changes of the market.
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.