P.A. Novikov, R.R. Valiev
Kazan Federal University, Kazan, 420008 Russia
For citation: Novikov P.A., Valiev R.R. Hidden Markov models and neural networks in formation of investment portfolio. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2018, vol. 160, no. 2, pp. 357–363.
Для цитирования: Novikov P.A., Valiev R.R. Hidden Markov models and neural networks in formation of investment portfolio // Учен. зап. Казан. ун-та. Сер. Физ.-матем. науки. – 2018. – Т. 160, кн. 2. – С. 357–363.
Abstract
Common mathematical models are used by investors for prediction of the future state of the financial market lose if the macroeconomic situation gets worse. In this regard, it is desired to build models that minimize losses in the formation of an investment portfolio under the conditions of economic fluctuations. Many models describing economic fluctuations consider annual changes, which allows to reduce the response time to the actual economical fluctuations. A model that predicts the future state of the economy based on more recent data enables the choice of the optimal strategy for investment portfolio formation. In this paper, we have proposed an economical model that allows to determine possible direction of changes in the economic situation on a quarterly basis, which is helpful in making timely decisions on the strategy for investment portfolio formation. Our model is based on hidden Markov models and the multilayer perceptron.
Keywords: hidden Markov models, perceptron, investment portfolio, gross domestic product, Baum–Welch algorithm
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Received
November 10, 2017
Novikov Petr Andreevich, Candidate of Physical and Mathematical Sciences, Assistant of the Higher School of Information Technologies and Information Systems
Kazan Federal University
ul. Kremlevskaya, 18, Kazan, 420008 Russia
E-mail: novikov@it.kfu.ru
Valiev Radik Rifatovich, Graduate Student of the Higher School of Information Technologies and Information Systems
Kazan Federal University
ul. Kremlevskaya, 18, Kazan, 420008 Russia
E-mail: radi.valiev@yandex.ru
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