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Optimal consumption and investment for markets with randoms coefficients
Black-Scholes market Stochastic volatility Optimal consumption and Investment Hamilton-Jacobi-Bellman equation Banach fixed point theorem Feynman - Kac formula.
2011/3/23
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...
Optimal consumption and investment with bounded downside risk measures for logarithmic utility functions
Optimal consumption investment bounded downside risk measures logarithmic utility functions
2010/10/18
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...
The Opportunity Process for Optimal Consumption and Investment with Power Utility
consumption semimartingale dynamic programming con-vex duality
2010/11/3
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...