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Bachelor thesisPublication date
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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/186272
Teoria moderna de carteres
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Abstract
[en] Investments and mathematics are closely related. In this project will be shown some usefull methods for investors. First of all we expose the Markowitz mean-variance portfolio theory. This let us get eficient portfolios through an optimation problem that is solved by Karush-Kuhn-Tucker conditions (known as KKT conditions), that are an extension of Lagrange multipliers.
Mean-variance analysis is the basis of the capital asset pricing model (CAPM), one of the most used methods by investors. CAPM model is based on risk-return trade-off of assets. Alternative asset princing models based on factors are presented, particularly the arbitrage pricing model (APT).
Finally a practical example of some concepts of Markowitz model is shown through python language.
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Treballs Finals del Doble Grau d'Administració i Direcció d'Empreses i de Matemàtiques, Facultat d'Economia i Empresa i Facultat de Matemàtiques i Informàtica, Universitat de Barcelona, Curs: 2021-2022, Tutor:
José Manuel Corcuera Valverde i Francesc J. Ortí Celma
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BONASTRE SANZ, Pol. Teoria moderna de carteres. [consulted: 12 of June of 2026]. Available at: https://hdl.handle.net/2445/186272