Abstract
We study a financial evolutionary problem, when variance-covariance matrices, sector financial holding volumes, instrument prices are time-dependent. As in P.Daniele [1], but assuming the realistic condition of a lower constraint for the price of each instrument, we give the evolutionary financial equilibrium condition, prove an equivalent variational inequality formulation and an existence result.
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References
P. Daniele, Variational Inequalities for Evolutionary Financial Equilibrium, Advances in Economic and Financial Networks, A. Nagurney Ed. (2003), 84–108.
P. Daniele, Lagrangean Funtion for Dynamic Variational Inequalities, Rendiconti del Circolo Matematico di Palermo, Serie II, Suppl. 58, 101–119.
J. Dong, D. Zhang and A. Nagurney, A projected Dynamical Systems Model of General Financial Equilibrium with Stability Analysis, Mathematical and Computer Modeling 24 (1996), 35–44.
J. Jahn, Introduction to the Theory of Nonlinear Optimization, Springer-Verlag, Berlin, 1996.
H.M. Markowitz, Portfolio Selection, Journal of Finance 7 (1952), 77–91.
H.M. Markowitz, Portfolio Selection: Efficient Diversification of Investments, Wiley & Sons, New York, 1959.
A. Nagurney, Variational Inequalities in the Analysis and Computation of Multi-Sector Multi-Instrument Financial Equilibria, Journal of Economic Dynamics and Control 18 (1994), 161–184.
A. Nagurney, Network Economics-A Variational Inequality Approach, second and revised version, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1999.
A. Nagurney, Financial and Variational Inequalities, Quantitative Finance 1 (2001), 309–317.
A. Nagurney, J. Dong and M. Hughes, Formulation and Computation of General Financial Equilibrium, Optimization 26 (1992), 339–354.
A. Nagumey and K. Ke, Financial Networks with Intermediation, Quantitative Finance 1 (2001), 441–451.
A. Nagumey and S. Siokos, Variational Inequalities for International General Financial Equilibrium Modeling and Computation, Mathematical and Computer Modelling 25 (1997), 31–49.
A. Nagurney and S. Siokos, Financial Networks: Statics and Dynamics, Springer-Verlag, Heidelberg, Germany, 1997.
A. Nagurney and D. Zhang, Projected Dynamical Systems and Variational Inequalities with Applications, Kluwer Academic Publishers, Boston, Massachussets, 1996.
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Giuffrè, S., Pia, S. (2005). Variational Inequalities for Time Dependent Financial Equilibrium with Price Constraints. In: Giannessi, F., Maugeri, A. (eds) Variational Analysis and Applications. Nonconvex Optimization and Its Applications, vol 79. Springer, Boston, MA. https://doi.org/10.1007/0-387-24276-7_30
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DOI: https://doi.org/10.1007/0-387-24276-7_30
Publisher Name: Springer, Boston, MA
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