Optimal investment and consumption for Ornstein-Uhlenbeck spread financial markets with logarithmic utility

Sahar Albosaily and Serguei Pergamenshchikov

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Abstract: We consider a spread financial market defined by the multidimensional Ornstein--Uhlenbeck (OU) process. We study the optimal consumption/investment problem for logarithmic utility functions in the base of stochastic dynamical programming method. We show a special Verification Theorem for this case. We find the solution to the Hamilton--Jacobi--Bellman (HJB) equation in explicit form and as a consequence we construct the optimal financial strategies. Moreover, we study the constructed strategy by numerical simulations.

Date: 2018-09
New Economics Papers: this item is included in nep-upt
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