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On the optimal allocation of assets in investment portfolio with application of modern portfolio and nonlinear dynamic chaos theories in investment, commercial and central banks

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  • Dimitri O. Ledenyov
  • Viktor O. Ledenyov

Abstract

The investment economy is a main characteristic of prosperous society. The investment portfolio management is a main financial problem, which has to be solved by the investment, commercial and central banks with the application of modern portfolio theory in the investment economy. We use the learning analytics together with the integrative creative imperative intelligent conceptual co-lateral adaptive thinking with the purpose to advance our scientific knowledge on the diversified investment portfolio management in the nonlinear dynamic financial system. We apply the econophysics principles and the econometrics methods with the aim to find the solution to the problem of the optimal allocation of assets in the investment portfolio, using the advanced risk management techniques with the efficient frontier modeling in agreement with the modern portfolio theory and using the stability management techniques with the dynamic regimes modeling on the bifurcation diagram in agreement with the dynamic chaos theory. We show that the bifurcation diagram, created with the use of the logistic function in Matlab, can provide some valuable information on the stability of combining risky investments in the investment portfolio, solving the problem of optimization of assets allocation in the investment portfolio. We propose the Ledenyov investment portfolio theorem, based on the Lyapunov stability criteria, with the aim to create the optimized investment portfolio with the uncorrelated diversified assets, which can deliver the increased expected returns to the institutional and private investors in the nonlinear dynamic financial system in the frames of investment economy.

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  • Dimitri O. Ledenyov & Viktor O. Ledenyov, 2013. "On the optimal allocation of assets in investment portfolio with application of modern portfolio and nonlinear dynamic chaos theories in investment, commercial and central banks," Papers 1301.4881, arXiv.org, revised Feb 2013.
    • Handle: RePEc:arx:papers:1301.4881
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    References listed on IDEAS

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    1. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2013. "Some thoughts on accurate characterization of stock market indexes trends in conditions of nonlinear capital flows during electronic trading at stock exchanges in global capital markets," MPRA Paper 49921, University Library of Munich, Germany.
    2. Dimitri O. Ledenyov & Viktor O. Ledenyov, 2013. "On the accurate characterization of business cycles in nonlinear dynamic financial and economic systems," Papers 1304.4807, arXiv.org.
    3. Dimitri O. Ledenyov & Viktor O. Ledenyov, 2013. "On the theory of firm in nonlinear dynamic financial and economic systems," Papers 1302.6721, arXiv.org, revised Mar 2013.
    4. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2013. "On the Stratonovich – Kalman - Bucy filtering algorithm application for accurate characterization of financial time series with use of state-space model by central banks," MPRA Paper 50235, University Library of Munich, Germany.
    5. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2013. "To the problem of evaluation of market risk of global equity index portfolio in global capital markets," MPRA Paper 47708, University Library of Munich, Germany, revised 20 Jun 2013.
    6. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2015. "Wave function method to forecast foreign currencies exchange rates at ultra high frequency electronic trading in foreign currencies exchange markets," MPRA Paper 67470, University Library of Munich, Germany.
    7. Dimitri O. Ledenyov & Viktor O. Ledenyov, 2013. "To the problem of turbulence in quantitative easing transmission channels and transactions network channels at quantitative easing policy implementation by central banks," Papers 1305.5656, arXiv.org, revised May 2013.

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