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Master's Dissertation
DOI
https://doi.org/10.11606/D.12.2023.tde-14122023-193727
Document
Author
Full name
Leonardo Alberto Winocur
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2023
Supervisor
Committee
Securato, Jose Roberto (President)
Rocha, Ricardo Humberto
Santos, Jose Odalio dos
Savoia, Jose Roberto Ferreira
Title in Portuguese
Contribuições ao modelo de Gordon a partir de simulações matemáticas de alavancagem e custo de capital próprio
Keywords in Portuguese
Alavancagem Financeira
Custo de Capital Próprio
Gordon
Modigliani- Miller
Abstract in Portuguese
A partir de uma revisão bibliográfica sobre custo de capital próprio e alavancagem financeira são questionadas as premissas utilizadas por Modigliani e Miller em uma revisitação do modelo de Gordon de dividendos descontados. Através de formulações algébricas e simulações, concluímos que a proposição de Modigliani-Miller sobre a irrelevância da estrutura de capital para o valor da firma nos leva a resultados que não respeitam a premissa de racionalidade dos investidores. Na terceira parte um novo modelo de precificação da alavancagem financeira é proposto e utilizando formulações algébricas e simulações mostramos que tal modelo é coerente com suas premissas. Na quarta seção, definimos um investidor e uma firma hipotéticos e demonstramos que este novo modelo pode ser extrapolado para um problema de microeconomia, onde existem equilíbrios que podem apontar estruturas ótimas de capital que maximizam o valor da firma e maximizam a utilidade do investidor em um equilíbrio parcial entre esses agentes econômicos.
Title in English
Contributions to the Gordon model from mathematical simulations of leverage and cost of equity
Keywords in English
Cost of Equity
Financial Leverage
Gordon
Modigliani-Miller
Abstract in English
Based on a literature review on cost of equity capital and financial leverage, the assumptions used by Modigliani and Miller in a revisitation of Gordon's model of discounted dividends are questioned. Through algebraic formulations and simulations, we conclude that the Modigliani-Miller proposition about the irrelevance of the capital structure to the value of the firm leads us to results that do not respect the assumption of rationality of investors. In the third part, a new financial leverage pricing model is proposed and, using algebraic formulations and simulations, we show that this model is consistent with its assumptions. In the fourth section, we define a hypothetical investor and a firm and demonstrate that this new model can be extrapolated to a microeconomics problem, where there are equilibria that can point to optimal capital structures that maximize the firm's value and maximize the investor's utility in a given period.
 
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Publishing Date
2023-12-22
 
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