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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2011 Volume 14, Number 2, Pages 45–54 (Mi sjim665)

A credit risk estimate for long-term financial flows basing on statistical modeling

S. S. Artem'evab, Yu. I. Ashchepkovab, M. A. Yakunina

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, RUSSIA
b Novosibirsk State University, Novosibirsk, RUSSIA

Abstract: We consider a mathematical model of long-term financial flows as the sum of a random number of random variables. For the particular case of flows in retirement funds we obtain distributions of gains and losses at a given moment in the distant future. We present the results of simulations using the statistical modeling of financial flows. We describe a program for estimating the credit risk of a retirement fund for various development scenarios of the world and regional economies.

Keywords: payment flow, sum of random variables, probability density, statistical modeling.

UDC: 519.24+519.86

Received: 20.08.2010
Revised: 06.12.2010



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