Fórmulas Engenharia Econômica
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Fórmulas Engenharia Econômica


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ENGENHARIA ECONÔMICA \u2013 Profº Edson Urtado 2015

FORMULÁRIO

1) Capitalização \u2013 Juros: Simples(i), Compostos (ii), Contínuos (iii):

\ufffd \ufffd \ufffd. \ufffd. \ufffd; 					 \ufffd \ufffd
 \ufffd; 					\ufffd \ufffd \ufffd
 \ufffd\ufffd. \ufffd. \ufffd
					\ufffd\ufffd

\ufffd \ufffd \ufffd\ufffd1
 \ufffd
\ufffd; 							\ufffd \ufffd \ufffd\ufffd\ufffd1
 \ufffd
\ufffd	 \ufffd 1\ufffd														\ufffd\ufffd\ufffd

\ufffd \ufffd	\ufffd\ufffd\ufffd\ufffd			 																																																																						\ufffd\ufffd\ufffd\ufffd

2) Série Uniforme de pagamentos/recebimentos - Valor Presente (iv), Recuperação de Capital (v),
Valor Futuro (vi), Fundo de Amortização (vii):

\ufffd \ufffd \ufffd \ufffd\ufffd1
 \ufffd
\ufffd \ufffd 1\ufffd\ufffd1
 \ufffd
\ufffd \ufffd					\ufffd\ufffd\ufffd

\ufffd \ufffd \ufffd \ufffd \ufffd\ufffd1
 \ufffd
\ufffd\ufffd1
 \ufffd
\ufffd \ufffd 1\ufffd					\ufffd\ufffd

\ufffd \ufffd \ufffd \ufffd\ufffd1
 \ufffd
\ufffd \ufffd 1\ufffd \ufffd					\ufffd\ufffd\ufffd

\ufffd \ufffd \ufffd \ufffd \ufffd\ufffd1
 \ufffd
\ufffd \ufffd 1\ufffd					\ufffd\ufffd\ufffd\ufffd

3) Série em Gradiente \u2013 Série Uniforme do Gradiente Aritmético (viii), Valor Presente do Gradiente

Aritmético (ix), Valor Presente de uma série Geométrica (x)

\ufffd \ufffd 	\ufffd	 \ufffd	\ufffd1
 \ufffd
\ufffd	\u2013 	\ufffd\ufffd \ufffd 1\ufffd	\ufffd1
 \ufffd
\ufffd \ufffd \ufffd\ufffd \ufffd 		\ufffd\ufffd					\ufffd \ufffd \ufffd	 \ufffd
1
\ufffd 	\ufffd 	

\ufffd
\ufffd1
 \ufffd
\ufffd \ufffd 1\ufffd					\ufffd\ufffd\ufffd\ufffd\ufffd

\ufffd \ufffd 	\ufffd	 \ufffd	\ufffd1
 \ufffd
\ufffd	\u2013 	\ufffd\ufffd \ufffd 1\ufffd\ufffd\ufffd1
 \ufffd
\ufffd \ufffd																																																																			\ufffd\ufffd

\ufffd \ufffd 	\ufffd	 \ufffd	1 \ufffd \ufffd1
 !
\ufffd	\ufffd1
 \ufffd
"\ufffd\ufffd \ufffd ! \ufffd ; 						#$%$	\ufffd & !																										\ufffd '

\ufffd \ufffd \ufffd\ufffd\ufffd\ufffd1
 \ufffd
"(\ufffd; 					#$%$	\ufffd \ufffd !																																																								\ufffd )

4) Outras fórmulas úteis \u2013 Equivalência entre taxas (xi), Taxa efetiva \u2018a\u2019 (xii), Log (xiii):

\ufffd* \ufffd \ufffd1
 \ufffd
+++, \ufffd 1																																																								\ufffd \ufffd

\ufffd' \ufffd \ufffd1
 %-
. \ufffd 1																																																							\ufffd \ufffd\ufffd

/0 \ufffd 1					 \u2192 					3 \ufffd log)1					 \u2192 					3 \ufffd 	 log1log / 					\ufffd \ufffd\ufffd\ufffd