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We consider the optimal investment problem for Black-Scholes type financial market with bounded VaR measure on the whole investment interval $[0,T]$. The explicit form for the optimal strategies is fo...
We investigate optimal consumption and investment problems for a Black-Scholes market under uniform restrictions on Value-at-Risk and Expected Shortfall. We formulate various utility maximization prob...
We investigate optimal consumption problems for a Black-Scholes market under uniform restrictions on Value-at-Risk and Expected Shortfall for logarithmic utility functions. We find the solutions in te...
In this paper, based on a non-monotone utility function being revised to a monotone utility function, we study the multi-period and continuous-time optimal consumption-investment choice model, and giv...
In this paper, we propose a mathematical approach leading systematically to a key result of the consumer theory: the representation of utility function.
In this paper we study efficient algorithms for computing equilibrium price in the Fisher model for a class of nonlinear concave utility functions, the logarithmic utility functions. We derive a duali...

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