We give an explicit PDE characterization for the solution of a robust utility maximization problem in an incomplete market model, whose volatility, interest rate process, and long-term trend are driven by an external stochastic factor process...
Keywords: optimal investment, model uncertainty, incomplete markets, stochastic volatility, coherent risk measures
01/2006 | Statistics & Decisions, Oldenbourg WissenschaftsverlagWe consider an extended Merton's problem of optimal consumption and investment in continuous-time with stochastic volatility...
Keywords: stochastic volatility, portfolio optimization, -optimal control, time-discrete approximation
03/2005 | Monte Carlo Methods and Applications, Walter de GruyterWe investigate in this paper the numerical performances of quadratic functional quantization with some applications to Finance...
Keywords: Functional quantization, Product quantizers, Romberg extrapolation, Karhunen-Love expansion, Brownian motion, SDE, Asian option, stochastic volatility, Heston model
12/2005 | Monte Carlo Methods and Applications, Walter de Gruyter