Anualidades y Perpetuidades, Tasas, y VAN
49
Tasa Nominal Tasa Equivalente Tasa E Tn T2 Te 12.96% 12 13.76% 1 13.76% Capitalizacio n Periodo de Capitalizacion
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conjunto de formulas de excel utilizadas en el calculo de anualidades, perpetuidades y mas.
Transcript of Anualidades y Perpetuidades, Tasas, y VAN
Tasa Nominal
Tasa Equivalente Tasa Efectiva
Tn T2 Te12.96% 12 13.76% 1 13.76%
Periodo de Capitalizacion
Periodo de Capitalizacion
Tasa Efectiva
1
Periodo de capitalizacion
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.
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.
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
154 155 156 157100 100 100 100
0.00 0.00 0.00 0.00
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
VrIo 45000
50750
