One Method of Solution of an Optimum Investment Portfolio Problem for Risky Assets

The problem for choice of an optimum investment portfolio is considered. The square-law form of risk is presented as two-multiple convolution of ковариантного tensor of the covariance matrix and kontravariant vector of weights. By means of reduction of covariance matrix to the diagonal form, the problem by definition of optimum structure of a portfolio is solved: simple expressions for a minimum of risk and optimum distribution of the weights providing this minimum are received.tensor, convolution, invariants, risky assets, portfolio, covariance matrix, kontravariant vector, optimum structural potentials, relative optimum structural potentials

Heuristic Analysis of Time Series Internal Structure

A method of analysis of Time Series Internal Structures based on Singular Spectrum Analysis is discussed. It has been shown that in the case when the Time Series contains deterministic additive components rank of the trajectory matrices equal to number of parameters of the components. Also it was proved that both eigen and factor vectors repeat shapes of the additive components and both eigen values and eigen vectors can be divided into additive groups. Some useful patterns of deterministic components were identified, which permit to provide graphical analysis of times series Internal Structures.Singular spectrum Analysis, Time series decomposition, Singular vectors, singular values, deterministic additive components, patterns

Economic Growth in Georgia: Historical Perspectives and Prognosis

While output declined in virtually all transition economies in the initial years, the speed and extent of the recovery that followed has varied widely across these countries. The paper examines some aspects of transition experiences of 1990s and dynamics of GDP in Georgia during transition recession and following post-recession recovery. Economic growth is considered as complex and comprehensive phenomenon. The prognostic econometric model of Georgian GDP is developed.economic growth, GDP, transitional economy, Georgia, prognostic model, regression, non –linear trend

Transactions

ალექსი გორგიძის დაბადებიდან 105 წლისთავისადმი მიძღვნილი შრომათა კრებული. Сборник трудов посвященный к 150 летию со дня рождения Алексея Горгидзе. The collection of works devoted to the 105th anniversary of the birth of the Alexi Gorgidz