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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2020, Volume 26, Number 1, Pages 293–306
DOI: https://doi.org/10.21538/0134-4889-2020-26-1-293-306
(Mi timm1716)
 

This article is cited in 1 scientific paper (total in 1 paper)

Analysis of the financial state of an investor based on the Cantor-Lippman model

A. A. Shananinabcd

a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
b Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
c Lomonosov Moscow State University
d Peoples' Friendship University of Russia, Moscow
Full-text PDF (260 kB) Citations (1)
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Abstract: The problem of restoring the economic growth and overcoming the stagnation of the Russian economy is associated with escaping the institutional traps. One of these traps is the big difference between interest rates on loans and deposits, which expresses the imperfection of the capital market and prevents an objective assessment of investment projects. In these conditions, the assessment of an investment project becomes dependent on the business environment in which the project is implemented. We propose to use the Cantor–Lippman model of investment at an imperfect capital market to describe the entrepreneurial (investment) environment. In the Cantor–Lippman model, the investment environment is described by a pool of stationary, replicable investment projects. Deflators are built and used to evaluate new investment projects and the financial state of the investor. The asymptotic properties of the deflators and, with their help, the problems of economic growth in Russia are discussed.
Keywords: investments, Cantor–Lippman model, mathematical modeling of economics, NPV, IRR, dual problem, investment polynomial, linear programming.
Funding agency Grant number
Russian Science Foundation 16-11-10246
This work was supported by the Russian Science Foundation (project no. 16-11-10246).
Received: 16.10.2019
Revised: 20.01.2020
Accepted: 27.01.2020
Bibliographic databases:
Document Type: Article
UDC: 519.863
MSC: 91B64, 90C90
Language: Russian
Citation: A. A. Shananin, “Analysis of the financial state of an investor based on the Cantor-Lippman model”, Trudy Inst. Mat. i Mekh. UrO RAN, 26, no. 1, 2020, 293–306
Citation in format AMSBIB
\Bibitem{Sha20}
\by A.~A.~Shananin
\paper Analysis of the financial state of an investor based on the Cantor-Lippman model
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2020
\vol 26
\issue 1
\pages 293--306
\mathnet{http://mi.mathnet.ru/timm1716}
\crossref{https://doi.org/10.21538/0134-4889-2020-26-1-293-306}
\elib{https://elibrary.ru/item.asp?id=42492210}
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  • This publication is cited in the following 1 articles:
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    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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