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We introduce an extension to Merton's famous continuous time model of optimal consumption and investment, in the spirit of previous works by Pliska and Ye, to allow for a wage earner to have a random ...
We consider an optimal consumption - investment problem for financial markets of Black-Scholes's type with the random coefficients. The existence and uniqueness theorem for the Hamilton-Jacobi-Bellman...
We study an optimal consumption and investment problem in a possibly incomplete market with general, not necessarily convex, stochastic constraints. We give explicit solutions for investors with expo...
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 t...
We study the utility maximization problem for power utility ran-dom fields in a semimartingale financial market, with and without intermediate consumption. The notion of an opportunity process is intr...

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