This chapter introduces the capability of the numerical multi-dimensional approach to solve complex problems in finance. It is well known how, with the growth of computational resource, scientists have developed numerical algorithms for the resolution of complex systems, in order to find the relations between the different components. One important field in this research is focused on the mimic of nature behavior to solve problems. In this chapter two technologies based on these techniques, self-organizing maps and multi-objectives genetic algorithm, have been used to solve two important fields in finance: the country risk assessment and the time series forecasting. The authors, through the examples in the chapter, would like to demonstrate how a multi-dimensional approach based on the mimic of nature could be useful to solve modern complex problems in finance.
