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Exploring efficient sets and equilibria on risky assets with APABO DSS prototype version 2.1
Authors:Francesco A. Rossi
Affiliation:(1) Istituto di Matematica Facoltà di Economia e Commercio, Università di Verona, Via dell'Artigliere, 8, 37129 Verona, Italy
Abstract:ABAPO 2.1 (Assets/Business(es) Analyser and Portfolio Optimizer) is a DSS prototype for portfolio managers. It assists the decision maker in two important stages of his task. First, it provides an integrated synthesis of the returns scenario in order to support the decision maker in the selection of the assets to retain, in accordance with his strategy. Second, on the retained assets it computes and shows the E-sgr efficient solutions. For each efficient portfolio ABAPO supplies immediately a lot of information that should help the decision maker to single out the portfolio which fits his goals best.ABAPO works on an integration of elements derived from the Portfolio Selection Theory, the Capital Asset Pricing Model, the Utility Theory. ABAPO uses the principal component, the univariate, the bivariate regression and the correlation analysis, a parametric quadratic programming model and an algorithm based on the critical line method.ABAPO is implemented in C language under AIX operating system and runs on a IBM RT PC 6150. It is a ductile, interactive procedure that involves graphics in order to increase the efficiency and the effectiveness of the ldquowhat ifrdquo simulations.This version 2.1 improves upon the previous one by the evaluation of the Security Market Line, some statistics on the returns of the efficient portfolios, the evaluation of the quadratic indifference curves associated to the efficient portfolios.Research supported by the Italian National Research Council (CNR), grant n. 88.03065.10. ABAPO DSS 2.1 prototype has been developed with the support of the CNR (grant n. 87.1210.10), of the Banca Popolare di Verona, of the Cassa di Risparmio di Verona Vicenza e Belluno, of the Società Cattolica di Assicurazione, at the Istituto di Matematica, Università di Verona.
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