This chapter applies different models to the financial portfolio design problem that affect assignment of assets to portfolios subject to a compromise between maximizing gains and minimizing losses. This practical problem appears in financial engineering, such as in the design of a CDO Squared portfolio. The aim of the authors is to propose and to solve a general model corresponding to the problem, within well classified assets. The authors express the diversification problem through a panoply of models such as the set model, matricial model, and MiniZinc model. These models represent an optimized problem of building efficient financial portfolios by maximizing the diversification rate. As long as the diversification rate is increased, the profit is increased, and the risk rate is decreased.
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The majority of proposed models for CDO or CDO squared are based on the analysis of the financial portfolio, more than on the portfolio building. Generally, financiers use many complex formulas coming from mathematics, statistics and probabilities, which are difficult to handle during the portfolio manipulation. Moreover, the pricing step is more highlighted than the way that the portfolio should be built (Rubinstein,2002; Reza,Banafsheh, Meisam &Fatemeh, 2016; Markowitz, 1952; Markowitz, 1959; Ida, 2003; Maknickiene, 2013; Nasr,, Sobhiyah & Yousefi, 2016; Spuchľakova, Frajtova & Mišanková, 2015)