Consistencia Método Gauss desde 1.794
Autor: Ederson Gobato | Publicado: 2015-05-15T10:06:00-03:00

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Após longa pesquisa de
inúmeros estudos e livros publicados sobre anuidades e amortização por juros
simples (No século XVIII as prestações que conhecemos hoje era denominado anuidade), podemos citar um deles que destaco e fundamenta perfeitamente o modelo
que denominamos por método Gauss como solução de série uniforme de pagamentos
em juros simples. Merece destacar que a publicação demonstrada a seguir indica
que a metodologia por juro simples em parcelas iguais era conhecida
na Inglaterra.

Pode-se
observar que a equação usada para se definir o valor da parcela pelo modelo
difundido por David Wilkie 1794 em seu livro intitulado Theory of Interest,
Simple and Compound, tal como demonstrado neste texto, resulta
exatamente no mesmo valor de parcela do Método Gauss.



Reprodução
da folha 38 do livro Wilkie 1794 onde ele demonstra 4 equações para definir:



p = Capital ou Valor Presente

a = Prestação

r = Taxa de Juros

t = Prazo




David Wilkie, 1.794




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&nbsp;Demonstração das 4 equações de
David Wilkie, 1794&nbsp;

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Onde:

K = p = Capital ou Valor Presente

n = t = Prazo

1 = Inteiro de Capital

I = r = Taxa de Juros

2 = Termo Fixo da PA

PMT = a = Prestação





 
&nbsp;

<!--[if gte mso 9]>
 
  
 
<![endif]-->
<!--[if gte mso 9]>
 
  
 
<![endif]-->
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Aos que sempre
afirmarão a inconsistência do Método Gauss e afirmavam que o método não se encontrava
em literatura algum.

Fica evidente neste contesto
que os autores não sabem pesquisar de forma adequada e séria ou tem interesse
de defender os agentes econômicos e ocultar a veracidade.

Aplicando os conceitos
de matemática financeira correto verifica a consistência do método. 


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   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 6"/>
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   UnhideWhenUsed="false" Name="Colorful Grid Accent 6"/>
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  <w:LsdException Locked="false" Priority="33" SemiHidden="false"
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<![endif]--><!--[if gte mso 10]>

 /* Style Definitions */
 table.MsoNormalTable
 {mso-style-name:"Tabela normal";
 mso-tstyle-rowband-size:0;
 mso-tstyle-colband-size:0;
 mso-style-noshow:yes;
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 mso-padding-alt:0cm 5.4pt 0cm 5.4pt;
 mso-para-margin-top:0cm;
 mso-para-margin-right:0cm;
 mso-para-margin-bottom:10.0pt;
 mso-para-margin-left:0cm;
 line-height:115%;
 mso-pagination:widow-orphan;
 font-size:11.0pt;
 font-family:"Calibri","sans-serif";
 mso-ascii-font-family:Calibri;
 mso-ascii-theme-font:minor-latin;
 mso-hansi-font-family:Calibri;
 mso-hansi-theme-font:minor-latin;
 mso-fareast-language:EN-US;}

<![endif]-->