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JOURNALS // Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta // Archive

Izv. IMI UdGU, 2018 Volume 51, Pages 123–135 (Mi iimi356)

On the problem of diversifying the ruble

N. N. Petrov, N. V. Petrova

Udmurt State University, ul. Universitetskaya, 1, Izhevsk, 426034, Russia

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.

UDC: 517.863

MSC: 93A30, 91A40

Received: 05.05.2018

DOI: 10.20537/2226-3594-2018-51-05



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