Author(s)

J. T. Eghwerido^*, E. Ekuma-Okereke, E. Ekuma-Okereke, E. Efe-Eyefia, Edwin Iguodala, T. O. Obilade

Department of Mathematics and Computer Science, Federal University of Petroleum Resources Effurun, Nigeria.
Department of Mathematics and Computer Science, Federal University of Petroleum Resources Effurun, Nigeria.

In this paper, we considered the different strategies that generate the optimal wealth on investment. The strategy examine depends on the utility function an investor is willing to adopt, say H* at time N in every 2n possible states; in an N period setting. Negative exponential, logarithm, square root and power utility functions were established, as the market structures changed according to a Markov chain through a martingale approach. The problem of maximization is solved via Lagrange method. The performance of the investment from day-to-day is driven by the ratio of the risk neutral probability and the probability of rising to falling.

Martingale, Negative Exponential, Logarithm, Square-Root, Power Utility Functions

Eghwerido, J. , Ekuma-Okereke, E. , Ekuma-Okereke, E. , Efe-Eyefia, E. , Iguodala, E. and Obilade, T. (2016) Measure of Investment Optimal Strategy. Journal of Mathematical Finance, 6, 269-274. doi: 10.4236/jmf.2016.62023.