Anualidades y Perpetuidades, Tasas, y VAN
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![Page 1: Anualidades y Perpetuidades, Tasas, y VAN](https://reader034.fdocument.pub/reader034/viewer/2022042506/55cf8ffe550346703ba2181a/html5/thumbnails/1.jpg)
Tasa Nominal
Tasa Equivalente Tasa Efectiva
Tn T2 Te12.96% 12 13.76% 1 13.76%
Periodo de Capitalizacion
Periodo de Capitalizacion
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Tasa Efectiva
1
Periodo de capitalizacion
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C $ 5,000.00 i 10%P $ 50,000.00 INCOGNITA
C $ 5,000.00 i 10% INCOGNITAP $ 50,000.00
C $ 50,000.00 INCOGNITAi 10%P $ 500,000.00
TASA 2%PERIODO 0 1 2 3 4 5.00VALOR 850 850 850 850 850VALOR PRESENTE 833.33 816.99 800.97 785.27 769.87VALOR PRESENTE $ 41,721.69 PERPETUIDAD $ 42,500.00
P= Valor actual de una perpetuidad.
c=monto periodico.i=tasa periodica.
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6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00850 850 850 850 850 850 850 850 850 850
754.78 739.98 725.47 711.24 697.30 683.62 670.22 657.08 644.19 631.56
P= Valor actual de una perpetuidad.
c=monto periodico.i=tasa periodica.
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16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00850 850 850 850 850 850 850 850 850 850
619.18 607.04 595.14 583.47 572.03 560.81 549.81 539.03 528.46 518.10
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26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00850 850 850 850 850 850 850 850 850 850
507.94 497.98 488.22 478.65 469.26 460.06 451.04 442.19 433.52 425.02
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36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00850 850 850 850 850 850 850 850 850 850
416.69 408.52 400.51 392.66 384.96 377.41 370.01 362.75 355.64 348.67
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46.00 47.00 48.00 49.00 50.00 51.00 52.00 53.00 54.00 55.00850 850 850 850 850 850 850 850 850 850
341.83 335.13 328.56 322.11 315.80 309.61 303.54 297.58 291.75 286.03
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56.00 57.00 58.00 59.00 60.00 61.00 62.00 63.00 64.00 65.00850 850 850 850 850 850 850 850 850 850
280.42 274.92 269.53 264.25 259.06 253.99 249.01 244.12 239.34 234.64
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66.00 67.00 68.00 69.00 70.00 71.00 72.00 73.00 74.00 75.00850 850 850 850 850 850 850 850 850 850
230.04 225.53 221.11 216.77 212.52 208.36 204.27 200.27 196.34 192.49
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76.00 77.00 78.00 79.00 80.00 81.00 82.00 83.00 84.00 85.00850 850 850 850 850 850 850 850 850 850
188.71 185.01 181.39 177.83 174.34 170.92 167.57 164.29 161.07 157.91
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86.00 87.00 88.00 89.00 90.00 91.00 92.00 93.00 94.00 95.00850 850 850 850 850 850 850 850 850 850
154.81 151.78 148.80 145.88 143.02 140.22 137.47 134.77 132.13 129.54
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96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00850 850 850 850 850 850 850 850 850 850
127.00 124.51 122.07 119.67 117.33 115.03 112.77 110.56 108.39 106.27
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106.00 107.00 108.00 109.00 110.00 111.00 112.00 113.00 114.00 115.00850 850 850 850 850 850 850 850 850 850
104.18 102.14 100.14 98.17 96.25 94.36 92.51 90.70 88.92 87.18
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116.00 117.00 118.00 119.00 120.00 121.00 122.00 123.00 124.00 125.00 126.00850 850 850 850 850 850 850 850 850 850 850
85.47 83.79 82.15 80.54 78.96 77.41 75.89 74.40 72.95 71.52 70.11
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127.00 128.00 129.00 130.00 131.00 132.00 133.00 134.00 135.00 136.00 137.00 138.00 139.00 140.00850 850 850 850 850 850 850 850 850 850 850 850 850 850
68.74 67.39 66.07 64.77 63.50 62.26 61.04 59.84 58.67 57.52 56.39 55.28 54.20 53.14
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141.00 142.00 143.00 144.00 145.00 146.00 147.00 148.00 149.00 150.00 151.00 152.00 153.00 154.00850 850 850 850 850 850 850 850 850 850 850 850 850 850
52.09 51.07 50.07 49.09 48.13 47.18 46.26 45.35 44.46 43.59 42.74 41.90 41.08 40.27
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155.00 156.00 157.00 158.00 159.00 160.00 161.00 162.00 163.00 164.00 165.00 166.00 167.00 168.00850 850 850 850 850 850 850 850 850 850 850 850 850 850
39.48 38.71 37.95 37.20 36.47 35.76 35.06 34.37 33.70 33.04 32.39 31.75 31.13 30.52
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169.00 170.00 171.00 172.00 173.00 174.00 175.00 176.00 177.00 178.00 179.00 180.00 181.00 182.00850 850 850 850 850 850 850 850 850 850 850 850 850 850
29.92 29.34 28.76 28.20 27.64 27.10 26.57 26.05 25.54 25.04 24.55 24.07 23.59 23.13
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183.00 184.00 185.00 186.00 187.00 188.00 189.00 190.00 191.00 192.00 193.00 194.00 195.00 196.00850 850 850 850 850 850 850 850 850 850 850 850 850 850
22.68 22.23 21.80 21.37 20.95 20.54 20.14 19.74 19.35 18.98 18.60 18.24 17.88 17.53
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197.00 198.00 199.00 200.00 201.00 202.00850 850 850 850 850 850
17.19 16.85 16.52 16.20 15.88 15.57
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TASA 0.1PERIODO 0 1 2 3 4VALOR 100 100 100 100VALOR PRESENTE 90.91 82.64 75.13 68.30
$ 1,000.00 PERPETUIDAD $ 1,000.00 ANUALIDADPERIODOS 4
VALOR P. PERIODOS NO PAGADOS $ 683.01 ANUALIDAD $ 316.99 ANUALIDAD $ 316.99
VALOR AL FINAL DEL PERIODO $ 464.10
Σ VALOR PRESENTE
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5 6 7 8 9 10 11 12 13 14100 100 100 100 100 100 100 100 100 100
62.09 56.45 51.32 46.65 42.41 38.55 35.05 31.86 28.97 26.33
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15 16 17 18 19 20 21 22 23 24100 100 100 100 100 100 100 100 100 100
23.94 21.76 19.78 17.99 16.35 14.86 13.51 12.28 11.17 10.15
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25 26 27 28 29 30 31 32 33 34100 100 100 100 100 100 100 100 100 100
9.23 8.39 7.63 6.93 6.30 5.73 5.21 4.74 4.31 3.91
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35 36 37 38 39 40 41 42 43 44100 100 100 100 100 100 100 100 100 100
3.56 3.23 2.94 2.67 2.43 2.21 2.01 1.83 1.66 1.51
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45 46 47 48 49 50 51 52 53 54100 100 100 100 100 100 100 100 100 100
1.37 1.25 1.13 1.03 0.94 0.85 0.77 0.70 0.64 0.58
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55 56 57 58 59 60 61 62 63 64100 100 100 100 100 100 100 100 100 100
0.53 0.48 0.44 0.40 0.36 0.33 0.30 0.27 0.25 0.22
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65 66 67 68 69 70 71 72 73100 100 100 100 100 100 100 100 100
0.20 0.19 0.17 0.15 0.14 0.13 0.12 0.10 0.10
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74 75 76 77 78 79 80 81100 100 100 100 100 100 100 100
0.09 0.08 0.07 0.06 0.06 0.05 0.05 0.04
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82 83 84 85 86 87 88 89100 100 100 100 100 100 100 100
0.04 0.04 0.03 0.03 0.03 0.03 0.02 0.02
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90 91 92 93 94 95 96 97100 100 100 100 100 100 100 100
0.02 0.02 0.02 0.01 0.01 0.01 0.01 0.01
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98 99 100 101 102 103 104 105100 100 100 100 100 100 100 100
0.01 0.01 0.01 0.01 0.01 0.01 0.00 0.00
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106 107 108 109 110 111 112 113100 100 100 100 100 100 100 100
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
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114 115 116 117 118 119 120 121100 100 100 100 100 100 100 100
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
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122 123 124 125 126 127 128 129100 100 100 100 100 100 100 100
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
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130 131 132 133 134 135 136 137100 100 100 100 100 100 100 100
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
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138 139 140 141 142 143 144 145100 100 100 100 100 100 100 100
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
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146 147 148 149 150 151 152 153100 100 100 100 100 100 100 100
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
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154 155 156 157100 100 100 100
0.00 0.00 0.00 0.00
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1 2 3 4 520000 15000 50000 70000 50000
695205.48FCF $ 20,000.00 $ 15,000.00 $ 50,000.00 $ 70,000.00 $ 745,205.48 VAN $ 563,632.31
WACC 8.72%% RRRR 80.00%%Rdeuda 20.00%Kd 12.00%T 30.00%
$565,698.48
Ke (costo de c 8.80%Rf 5.17%B 1Rm 7.30%Rpais 1.50%
G= tasa de crecimiento de la economia PIB 1.5%
VAN Afectado del WACC
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VrIo 45000
50750