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Optimal investment risks management strategies of an economy in a financial crisis

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  • Charles I. Nkeki

    (Department of Mathematics, Faculty of Physical Sciences, University of Benin, P. M. B. 1154, Benin City, Edo State, Nigeria)

Abstract

In this paper, we consider a strategic management of investment risks of an economy that faces financial crisis. The assets consider are multiple stocks and multiple fixed assets. Asset of the economy is a linear combination of portfolio weights and the expected stock returns plus a linear combination of the price of fixed and quantities of assets. Also, the debt profile, consumption and income growth of the economy are studied. The resulting optimization problem was solved by the method of Lagrangian multiplier. The aims of this paper are to determine the (i) mean–variance investment portfolio of the economy, (ii) optimal investment of the economy, (ii) optimal debt ratio of the economy, (iii) efficient frontier for the economy (iv) global minimum risks in the investment portfolio. Empirical results using real data collected from Nigerian Stock Exchange are considered.

Suggested Citation

  • Charles I. Nkeki, 2018. "Optimal investment risks management strategies of an economy in a financial crisis," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 5(01), pages 1-24, March.
    • Handle: RePEc:wsi:ijfexx:v:05:y:2018:i:01:n:s2424786318500032
    DOI: 10.1142/S2424786318500032
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    References listed on IDEAS

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    1. Alexei KROUGLOV, 2013. "Simplified Mathematical Model Of Financial Crisis," Journal of Advanced Studies in Finance, ASERS Publishing, vol. 4(2), pages 109-114.
    2. Duan Li & Wan‐Lung Ng, 2000. "Optimal Dynamic Portfolio Selection: Multiperiod Mean‐Variance Formulation," Mathematical Finance, Wiley Blackwell, vol. 10(3), pages 387-406, July.
    3. Jerome L. Stein, 2003. "Stochastic Optimal Control Modeling of Debt Crises," CESifo Working Paper Series 1043, CESifo.
    4. Majid Shakhsi-Niaei & Morteza Shiripour & Hamed Shakouri G. & Seyed Hossein Iranmanesh, 2015. "Application of genetic and differential evolution algorithms on selecting portfolios of projects with consideration of interactions and budgetary segmentation," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 22(1), pages 106-128.
    5. Merton, Robert C., 1972. "An Analytic Derivation of the Efficient Portfolio Frontier," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(4), pages 1851-1872, September.
    6. Duan Li & Douglas White, 2000. "pth Power Lagrangian Method for Integer Programming," Annals of Operations Research, Springer, vol. 98(1), pages 151-170, December.
    7. Harry Markowitz, 1956. "The optimization of a quadratic function subject to linear constraints," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 3(1‐2), pages 111-133, March.
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    Cited by:

    1. Charles. I. Nkeki, 2018. "Optimal Investment Strategy With Dividend Paying And Proportional Transaction Costs," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 1-17, March.

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