Formulario Interés simple
Nacht1007Apuntes8 de Octubre de 2023
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Formulario
Interés simple: 𝐼 = 𝑃 ∗ 𝑁 ∗ 𝑖
Factores y símbolos del Interés compuesto discreto:[pic 1]
Para encontrar | Dado | Símbolo | Fórmula o factor |
F | P | (F/P, i%, N) | 𝑃(1 + 𝑖)𝑁 |
P | F | (P/F, i%, N) | 𝐹 [pic 2] (1 + 𝑖)𝑁 |
F | A | (F/A, i%, N) | (1 + 𝑖)𝑁 − 1 𝐴 ∗ [ ] 𝑖 |
P | A | (P/A, i%, N) | (1 + 𝑖)𝑁 − 1 𝐴 ∗ [ ] 𝑖 ∗ (1 + 𝑖)𝑁 |
A | F | (A/F, i%, N) | 𝑖 𝐹 ∗ [(1 + 𝑖)𝑁 − 1] |
A | P | (A/P, i%, N) | 𝑖 ∗ (1 + 𝑖)𝑁 𝑃 ∗ [ 𝑁 ] (1 + 𝑖) − 1 |
Gradiente Aritmético[pic 3][pic 4][pic 5][pic 6][pic 7][pic 8][pic 9][pic 10]
Para encontrar | Dado | Símbolo | Fórmula o factor |
F | G | (F/G, i%, N) | 𝐺 𝑁𝐺 𝐺 (1 + 𝑖)𝑁 − 1 𝑁�� (𝐹/𝐴, 𝑖%, 𝑁) − = [( )] − 𝑖 𝑖 𝑖 𝑖 𝑖 |
A | G | (A/G, i%, N) | 1 𝑁 𝐺 [ 𝑖 − (1 + 𝑖)𝑁 − 1] |
P | G | (P/G, i%, N) | 1 (1 + 𝑖)𝑁 − 1 𝑁 𝐺 [ − ] 𝑖 𝑖 ∗ (1 + 𝑖)𝑁 (1 + 𝑖)𝑁 |
Gradiente Geométrico:[pic 11][pic 12][pic 13][pic 14][pic 15]
Degarmo:
𝐴1
(1 + 𝑖)
𝑖𝑐𝑟 = (1 + 𝑓̅) − 1[pic 16]
𝑃 𝐴1
(1 + 𝑖𝑐𝑟)𝑁 − 1
𝑃 =
∗ ( , 𝑖 %, 𝑁) =
(1 + 𝑓) 𝐴[pic 17][pic 18][pic 19]
∗ [
(1 + 𝑓) 𝑖𝑐𝑟[pic 20][pic 21][pic 22]
∗ (1 + 𝑖𝑐𝑟
)𝑁]
Blank:
1 + 𝑓 𝑛
𝐴1 ∗ [1 − ( 1 + 𝑖 ) ] 𝑓̅ ≠ 𝑖
𝑃𝑔 =
𝑖 − 𝑓̅
𝐴 ∗ 𝑛
𝑓̅ = 𝑖
{ 1 1 + 𝑖[pic 23]
Tasa efectiva:
𝑟 𝑀
𝑖 = [1 + 𝑀][pic 24]
− 1 ; 𝑀 = 𝑁° 𝑑𝑒 𝑐𝑎𝑝𝑖𝑡𝑎𝑙𝑖𝑧𝑎𝑐𝑖𝑜𝑛𝑒𝑠 𝑝𝑜𝑟 𝑝𝑒𝑟𝑖𝑜𝑑𝑜 𝑛𝑜𝑚𝑖𝑛𝑎𝑙
; 𝑟 = 𝑡𝑎𝑠𝑎 𝑑𝑒 𝑖𝑛𝑡𝑒𝑟é𝑠 𝑛𝑜𝑚𝑖𝑛𝑎𝑙
[pic 25]
Equivalencia entre tasas de interés efectivas:
(1 + 𝑖𝐴) = (1 + 𝑖𝑆)2 = (1 + 𝑖𝑇)4 = (1 + 𝑖𝐵)6 = (1 + 𝑖𝑀)12 = (1 + 𝑖𝐷)365
...