Mathematical Model of Banking Operation

Verfasser / Beitragende:
[N. Gonchar]
Ort, Verlag, Jahr:
2015
Enthalten in:
Cybernetics and Systems Analysis, 51/3(2015-05-01), 378-399
Format:
Artikel (online)
ID: 605518858
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024 7 0 |a 10.1007/s10559-015-9730-0  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10559-015-9730-0 
100 1 |a Gonchar  |D N.  |u Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine  |4 aut 
245 1 0 |a Mathematical Model of Banking Operation  |h [Elektronische Daten]  |c [N. Gonchar] 
520 3 |a A general mathematical concept is proposed to describe banking operation. To this end, a reference model of banking operation is introduced, which describes the evolution of capital by a Markov process. The ruin probability in the reference model that majorizes the bankruptcy probability of bank in the proposed model is estimated. The value of the initial bank capital such that the bank can operate for infinite time with a sufficiently small ruin probability is indicated. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a bank ruin probability  |2 nationallicence 
690 7 |a bank capital  |2 nationallicence 
690 7 |a investment strategy  |2 nationallicence 
690 7 |a strategy for attracting deposits  |2 nationallicence 
690 7 |a random variable  |2 nationallicence 
690 7 |a Markov chain  |2 nationallicence 
773 0 |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/3(2015-05-01), 378-399  |x 1060-0396  |q 51:3<378  |1 2015  |2 51  |o 10559 
856 4 0 |u https://doi.org/10.1007/s10559-015-9730-0  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10559-015-9730-0  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Gonchar  |D N.  |u Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/3(2015-05-01), 378-399  |x 1060-0396  |q 51:3<378  |1 2015  |2 51  |o 10559