We want to purpose and introduce a method that we name Geometrical Approximation (G.A.), by which it is possible to study the stochastic volatility market models (as Heston and SABR). The G.A. intends to be an alternative method useful to obtain the price of Vanilla options, this is less...

This paper proposes an approximation to the consumption function in the buffer-stock model. The approximation is based on the analytic properties of the consumption function in the buffer-stock model. In such model, the consumption function is increasing and concave and its derivative is bounded...

We show that the standard Value Function Iteration (VFI) algorithm has difficulties approximating models with jump discontinuities in policy functions. We find that VFI fails to accurately identify the location and size of jump discontinuities while other methods - such as the Endogenous Grid...

"This book is devoted to recent developments, reviews and tutorials of decision making or optimization under uncertainty. Different models ranging from stochastic to grey and their connection will be outlines with highlighting possible future works along with applications on real case problems."

"This book is devoted to recent developments, reviews and tutorials of decision making or optimization under uncertainty. Different models ranging from stochastic to grey and their connection will be outlines with highlighting possible future works along with applications on real case problems"--

We consider function approximation by fuzzy systems. Fuzzy systems are typically used for approximating deterministic functions, in which the stochastic uncertainty is ignored. We propose probabilistic fuzzy systems in which the probabilistic nature of uncertainty is taken into account....