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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2018, Volume 51, Pages 123–135
DOI: https://doi.org/10.20537/2226-3594-2018-51-05
(Mi iimi356)
 

On the problem of diversifying the ruble

N. N. Petrov, N. V. Petrova

Udmurt State University, ul. Universitetskaya, 1, Izhevsk, 426034, Russia
References:
Abstract: The problem of allocating a certain amount in rubles to a ruble deposit and to a given number of foreign currency deposits is considered in order to obtain the maximum income in rubles at the end of the storage period. It is assumed that the person making the decision does not know the exchange rates at the end of the storage period and is guided only by certain limits of their possible changes.The solution of this problem depends on the choice of the principle of optimality. A solution guaranteed by the outcomes and the Nash game solution are found. It is shown that the problem of finding a risk-guaranteed solution is a linear programming task. For some special cases, a risk-based solution is analytically found.
Keywords: uncertainty, risk, outcome, maximin, Nash equilibrium, deposit diversification.
Received: 05.05.2018
Bibliographic databases:
Document Type: Article
UDC: 517.863
MSC: 93A30, 91A40
Language: Russian
Citation: N. N. Petrov, N. V. Petrova, “On the problem of diversifying the ruble”, Izv. IMI UdGU, 51 (2018), 123–135
Citation in format AMSBIB
\Bibitem{PetPet18}
\by N.~N.~Petrov, N.~V.~Petrova
\paper On the problem of diversifying the ruble
\jour Izv. IMI UdGU
\yr 2018
\vol 51
\pages 123--135
\mathnet{http://mi.mathnet.ru/iimi356}
\crossref{https://doi.org/10.20537/2226-3594-2018-51-05}
\elib{https://elibrary.ru/item.asp?id=35269041}
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