Act 6 Gloria-Giraldo
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Transcript of Act 6 Gloria-Giraldo
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ESCUELA DE CIENCIAS ADMINISTRATIVAS, CONTABECONÓMICAS Y DE NEGOCIOSMatematica financiera
Trabajo Colaborativo No. 6 Individual
PRESENTADO POR:
GLORIA STEFANNY GIRALDO CC: 1.056.
PRESENTADO AL TUTOR:
LUIS FERMIN ORTI ARATE
UNIVERSIDAD NACIONAL ABIERTA Y A DIS
2015
CTIVIDAD N! 6. MOMENTO TRABA"O INDIVIDUAL
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ES,
781.527
ANCIA
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1. AMORTIZACION FIJA A CAPITAL
CAPITAL $ 215,000,000.00TASA MENSUAL 1.25%
PERIODOS 24
Plazo 24
PERIODO SALDO INICIAL CUOTA
1 $ 215,000,000.00 $ 11,645,833.33
2 $ 206,041,666.67 $ 11,533,854.17
$ 197,083,333.33 $ 11,421,875.00
4 $ 188,125,000.00 $ 11,309,895.83
5 $ 179,166,666.67 $ 11,197,916.67
! $ 170,208,333.33 $ 11,085,937.50
" $ 161,250,000.00 $ 10,973,958.33
# $ 152,291,666.67 $ 10,861,979.17
$ 143,333,333.33 $ 10,750,000.00
10 $ 134,375,000.00 $ 10,638,020.83
11 $ 125,416,666.67 $ 10,526,041.67
12 $ 116,458,333.33 $ 10,414,062.50
1 $ 107,500,000.00 $ 10,302,083.33
14 $ 98,541,666.67 $ 10,190,104.17
15 $ 89,583,333.33 $ 10,078,125.00
1! $ 80,625,000.00 $ 9,966,145.83
1" $ 71,666,666.67 $ 9,854,166.67
1# $ 62,708,333.33 $ 9,742,187.50
1 $ 53,750,000.00 $ 9,630,208.33
20 $ 44,791,666.67 $ 9,518,229.17
21 $ 35,833,333.33 $ 9,406,250.00
22 $ 26,875,000.00 $ 9,294,270.83
2 $ 17,916,666.67 $ 9,182,291.67
24 $ 8,958,333.33 $ 9,070,312.50
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0 $ 0.00 $ 0.00
0 $ 0.00 $ 0.00
SUMATORIA INTE
SUMATORIA I
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Mo&o 'ol()(&a*o Plazo
$ 215,000,000.00 1.25% 24
INTERES AMORTIZACION SALDO FINAL
$ 2,687,500.00 $ 8,958,333.33 $ 206,041,666.67
$ 2,575,520.83 $ 8,958,333.33 $ 197,083,333.33
$ 2,463,541.67 $ 8,958,333.33 $ 188,125,000.00
$ 2,351,562.50 $ 8,958,333.33 $ 179,166,666.67
$ 2,239,583.33 $ 8,958,333.33 $ 170,208,333.33
$ 2,127,604.17 $ 8,958,333.33 $ 161,250,000.00
$ 2,015,625.00 $ 8,958,333.33 $ 152,291,666.67
$ 1,903,645.83 $ 8,958,333.33 $ 143,333,333.33
$ 1,791,666.67 $ 8,958,333.33 $ 134,375,000.00
$ 1,679,687.50 $ 8,958,333.33 $ 125,416,666.67
$ 1,567,708.33 $ 8,958,333.33 $ 116,458,333.33
$ 1,455,729.17 $ 8,958,333.33 $ 107,500,000.00
$ 1,343,750.00 $ 8,958,333.33 $ 98,541,666.67
$ 1,231,770.83 $ 8,958,333.33 $ 89,583,333.33
$ 1,119,791.67 $ 8,958,333.33 $ 80,625,000.00
$ 1,007,812.50 $ 8,958,333.33 $ 71,666,666.67
$ 895,833.33 $ 8,958,333.33 $ 62,708,333.33
$ 783,854.17 $ 8,958,333.33 $ 53,750,000.00
$ 671,875.00 $ 8,958,333.33 $ 44,791,666.67
$ 559,895.83 $ 8,958,333.33 $ 35,833,333.33
$ 447,916.67 $ 8,958,333.33 $ 26,875,000.00
$ 335,937.50 $ 8,958,333.33 $ 17,916,666.67
$ 223,958.33 $ 8,958,333.33 $ 8,958,333.33
$ 111,979.17 $ 8,958,333.33 $ 0.00
Ta'a (&+-' ++)&(/a+'al
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$ 0.00 $ 0.00 $ 0.00
$ 0.00 $ 0.00 $ 0.00
RES PRIMER AÑO $ 24,#5,"5.00
TERES TOTAL $ ,5,"50.00
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P+(o*o *+ a)(a
NA NA 24
Co&a D+)+)(+&+
$111,979.17
$111,979.17
$111,979.17
$111,979.17
$111,979.17
$111,979.17
$111,979.17
$111,979.17
$111,979.17
$111,979.17
$111,979.17
$111,979.17
$111,979.17
$111,979.17
$111,979.17
$111,979.17
$111,979.17
$783,854.17
$111,979.17
$111,979.17
$447,916.67
$111,979.17
$111,979.17
$111,979.17
P+(o*o+&o
To&al3+(o*o'
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$0.00
$0.00
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2. AMORTIZACION RADIENTE EOMETRICO DECRECIENTEMo&o 'ol()(&a*o
$ 215,000,000.00
CAPITAL $ 215,000,000.00TASA MENSUAL 1.25%
PERIODOS 12
Plazo 12
PERIODO SALDO INICIAL CUOTA INTERES
1 $ 215,000,000.00 $ 20,604,166.67 $ 2,687,500.00
2 $ 197,083,333.33 $ 20,380,208.33 $ 2,463,541.67
$ 179,166,666.67 $ 20,156,250.00 $ 2,239,583.33
4 $ 161,250,000.00 $ 19,932,291.67 $ 2,015,625.00
5 $ 143,333,333.33 $ 19,708,333.33 $ 1,791,666.67
! $ 125,416,666.67 $ 19,484,375.00 $ 1,567,708.33
" $ 107,500,000.00 $ 19,260,416.67 $ 1,343,750.00
# $ 89,583,333.33 $ 19,036,458.33 $ 1,119,791.67
$ 71,666,666.67 $ 18,812,500.00 $ 895,833.33
10 $ 53,750,000.00 $ 18,588,541.67 $ 671,875.00
11 $ 35,833,333.33 $ 18,364,583.33 $ 447,916.67
12 $ 17,916,666.67 $ 18,140,625.00 $ 223,958.33
0
0
0
0
0
0
0
0
0
0
0
0
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SUMATORIA INTERES PRIMER AÑO
SUMATORIA INTERESTOTAL
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Plazo P+(o*o *+ a)(a
1.25% 12 NA
AMORTIZACION SALDO FINAL Co&a D+)+)(+&+
$ 17,916,666.67 $ 197,083,333.33 $229,930.56
$ 17,916,666.67 $ 179,166,666.67 $223,719.44
$ 17,916,666.67 $ 161,250,000.00 $223,967.89
$ 17,916,666.67 $ 143,333,333.33 $223,957.95
$ 17,916,666.67 $ 125,416,666.67 $223,958.35
$ 17,916,666.67 $ 107,500,000.00 $223,958.33
$ 17,916,666.67 $ 89,583,333.33 $223,958.33
$ 17,916,666.67 $ 71,666,666.67 $223,958.33
$ 17,916,666.67 $ 53,750,000.00 $223,958.33
$ 17,916,666.67 $ 35,833,333.33 $223,958.33
$ 17,916,666.67 $ 17,916,666.67 $223,958.33
$ 17,916,666.67 $ 0.00 $223,958.33
Ta'a (&+-' ++)&(/a+'al
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$ 1",4!#,"50.00
$ 1",4!#,"50.00
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P+(o*o +&o To&al 3+(o*o'
NA 12
Co&a D+)+)(+&+ R+al
$ 149,305.56
-$5,972.22
$238.89
-$9.56
$0.38
-$0.02
$0.00
-$0.00
$0.00
-$0.00
$0.00
-$0.00
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. AMORTIZACION PAO CUOTA FIJA
CAPITAL $ 215,000,000.00 TASA MENSUAL 1.50%
PERIODOS 18
PLAZO 18
PERIODO SALDO INICIAL CUOTA
1 $ 215,000,000.00 $ 13,718,243.08
2 $ 204,506,756.92 $ 13,718,243.08
3 $ 193,856,115.19 $ 13,718,243.08
4 $ 183,045,713.84 $ 13,718,243.08
5 $ 172,073,156.47 $ 13,718,243.08
6 $ 160,936,010.74 $ 13,718,243.08
7 $ 149,631,807.82 $ 13,718,243.08
8 $ 138,158,041.86 $ 13,718,243.08
9 $ 126,512,169.41 $ 13,718,243.08
10 $ 114,691,608.87 $ 13,718,243.08
11 $ 102,693,739.92 $ 13,718,243.0812 $ 90,515,902.94 $ 13,718,243.08
13 $ 78,155,398.41 $ 13,718,243.08
14 $ 65,609,486.30 $ 13,718,243.08
15 $ 52,875,385.52 $ 13,718,243.08
16 $ 39,950,273.22 $ 13,718,243.08
17 $ 26,831,284.24 $ 13,718,243.08
18 $ 13,515,510.42 $ 13,718,243.08
SUMATORIA INTE
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SUMATORIA I
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Mo&o 'ol()(&a*o Plazo
$ 215,000,000.00 1.50% 18
INTERES AMORTIZACION SALDO FINAL
$ 3,225,000.00 $ 10,493,243.08 $ 204,506,756.92
$ 3,067,601.35 $ 10,650,641.73 $ 193,856,115.19
$ 2,907,841.73 $ 10,810,401.35 $ 183,045,713.84
$ 2,745,685.71 $ 10,972,557.37 $ 172,073,156.47
$ 2,581,097.35 $ 11,137,145.73 $ 160,936,010.74
$ 2,414,040.16 $ 11,304,202.92 $ 149,631,807.82
$ 2,244,477.12 $ 11,473,765.96 $ 138,158,041.86
$ 2,072,370.63 $ 11,645,872.45 $ 126,512,169.41
$ 1,897,682.54 $ 11,820,560.54 $ 114,691,608.87
$ 1,720,374.13 $ 11,997,868.95 $ 102,693,739.92
$ 1,540,406.10 $ 12,177,836.98 $ 90,515,902.94$ 1,357,738.54 $ 12,360,504.54 $ 78,155,398.41
$ 1,172,330.98 $ 12,545,912.10 $ 65,609,486.30
$ 984,142.29 $ 12,734,100.78 $ 52,875,385.52
$ 793,130.78 $ 12,925,112.30 $ 39,950,273.22
$ 599,254.10 $ 13,118,988.98 $ 26,831,284.24
$ 402,469.26 $ 13,315,773.82 $ 13,515,510.42
$ 202,732.66 $ 13,515,510.42 $ 0.00
RES PRIMER AÑO $ 2",""4,15.!
Ta'a (&+-' ++)&(/a+'al
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TERES TOTAL $ 1,2#,"5.4
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P+(o*o *+ a)(a
NA NA 18
Co&a D+)+)(+&+
$ 157,398.65
$ 159,759.63
$ 162,156.02
$ 164,588.36
$ 167,057.19
$ 169,563.04
$ 172,106.49
$ 174,688.09
$ 177,308.41
$ 179,968.03
$ 182,667.55$ 185,407.57
$ 188,188.68
$ 191,011.51
$ 193,876.68
$ 196,784.83
$ 199,736.61
$ 202,732.66
P+(o*o+&o
To&al3+(o*o'
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4. CUOTA FIJA CON PERIODOD DE RACIA
CAPITAL $ 215,000,000.00 PERIODO DE RACIA TASA MENSUAL 1.25%
PERIODOS 18
P!"# 15
PERIODO SALDO INICIAL CUOTA
1 $ 215,000,000.00 $ 2,687,500.00
2 $ 215,000,000.00 $ 2,687,500.00
$ 215,000,000.00 $ 2,687,500.00
4 $ 215,000,000.00 $ 13,412,729.26
5 $ 204,274,770.74 $ 13,412,729.26
! $ 193,415,476.11 $ 13,412,729.26
" $ 182,420,440.30 $ 13,412,729.26
# $ 171,287,966.54 $ 13,412,729.26
$ 160,016,336.86 $ 13,412,729.26
10 $ 148,603,811.81 $ 13,412,729.26
11 $ 137,048,630.20 $ 13,412,729.26
12 $ 125,349,008.81 $ 13,412,729.26
1 $ 113,503,142.16 $ 13,412,729.26
14 $ 101,509,202.17 $ 13,412,729.26
15 $ 89,365,337.94 $ 13,412,729.26
1! $ 77,069,675.40 $ 13,412,729.26
1" $ 64,620,317.08 $ 13,412,729.26
1# $ 52,015,341.78 $ 13,412,729.26
1
0
0
0
0
0
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SUMATORIA INTER
SUMATORIA IN
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Mo&o 'ol()(&a*o Plazo
$ 215,000,000.00 1.25% 15
3
INTERES AMORTIZACION SALDO FINAL
$ 2,687,500.00 $ 0.00 $ 215,000,000.00
$ 2,687,500.00 $ 0.00 $ 215,000,000.00
$ 2,687,500.00 $ 0.00 $ 215,000,000.00
$ 2,687,500.00 $ 10,725,229.26 $ 204,274,770.74
$ 2,553,434.63 $ 10,859,294.63 $ 193,415,476.11
$ 2,417,693.45 $ 10,995,035.81 $ 182,420,440.30
$ 2,280,255.50 $ 11,132,473.76 $ 171,287,966.54
$ 2,141,099.58 $ 11,271,629.68 $ 160,016,336.86
$ 2,000,204.21 $ 11,412,525.05 $ 148,603,811.81
$ 1,857,547.65 $ 11,555,181.61 $ 137,048,630.20
$ 1,713,107.88 $ 11,699,621.38 $ 125,349,008.81
$ 1,566,862.61 $ 11,845,866.65 $ 113,503,142.16
$ 1,418,789.28 $ 11,993,939.99 $ 101,509,202.17
$ 1,268,865.03 $ 12,143,864.23 $ 89,365,337.94
$ 1,117,066.72 $ 12,295,662.54 $ 77,069,675.40
$ 963,370.94 $ 12,449,358.32 $ 64,620,317.08
$ 807,753.96 $ 12,604,975.30 $ 52,015,341.78
$ 650,191.77 $ 12,762,537.49 $ 39,252,804.29
Ta'a (&+-' ++)&(/a+'al
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S PRIMER AÑO $ 2",2#0,205.52
ERES TOTAL $ ,50!,24.22
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P+(o*o' *+ a)(a
3 NA 18
Co&a D+)+)(+&+
$0.00
$0.00
$0.00
$134,065.37
$135,741.18
$137,437.95
$139,155.92
$140,895.37
$142,656.56
$144,439.77
$146,245.27
$148,073.33
$149,924.25
$151,798.30
$153,695.78
$155,616.98
$157,562.19
$650,191.77
P+(o*o+&o
To&al3+(o*o'
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5. CUOTA FIJA CON PERIODOD MUERTO
CAPITAL 215000000 PERIODO MUERTO
TASA MENSUAL 1.25% PERIODOS TOTALES
PERIODOS AMORTIZACION 12 CAPITAL AMORTIZAR
PERIODO SALDO INICIAL CUOTA
1 $ 215,000,000.00 $ 0.00
2 $ 217,687,500.00 $ 0.00
3 $ 220,408,593.75 $ 19,893,707.70
4 $ 203,269,993.47 $ 19,893,707.70
5 $ 185,917,160.69 $ 19,893,707.70
6 $ 168,347,417.50 $ 19,893,707.70
7 $ 150,558,052.52 $ 19,893,707.70
8 $ 132,546,320.48 $ 19,893,707.70
9 $ 114,309,441.79 $ 19,893,707.70
10 $ 95,844,602.12 $ 19,893,707.70
11 $ 77,148,951.94 $ 19,893,707.70
12 $ 58,219,606.14 $ 19,893,707.70
13 $ 39,053,643.52 $ 19,893,707.70
14 $ 19,648,106.37 $ 19,893,707.70
15
16
17
18
SUMATORIA INTER
SUMATORIA IN
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Mo&o 'ol()(&a*o Plazo
$ 215,000,000.00 1.25% 12
2
14
$ 220,408,593.75
INTERES AMORTIZACION SALDO FINAL
$ 2,687,500.00 -$ 2,687,500.00 $ 217,687,500.00
$ 2,721,093.75 -$ 2,721,093.75 $ 220,408,593.75
$ 2,755,107.42 $ 17,138,600.28 $ 203,269,993.47
$ 2,540,874.92 $ 17,352,832.78 $ 185,917,160.69
$ 2,323,964.51 $ 17,569,743.19 $ 168,347,417.50
$ 2,104,342.72 $ 17,789,364.98 $ 150,558,052.52
$ 1,881,975.66 $ 18,011,732.04 $ 132,546,320.48
$ 1,656,829.01 $ 18,236,878.69 $ 114,309,441.79
$ 1,428,868.02 $ 18,464,839.68 $ 95,844,602.12
$ 1,198,057.53 $ 18,695,650.17 $ 77,148,951.94
$ 964,361.90 $ 18,929,345.80 $ 58,219,606.14
$ 727,745.08 $ 19,165,962.62 $ 39,053,643.52
$ 488,170.54 $ 19,405,537.15 $ 19,648,106.37
$ 245,601.33 $ 19,648,106.37 $ 0.00
S PRIMER AÑO $ 22,0,"20.51
ERES TOTAL $ 2,"24,42.#
Ta'a (&+-'++)&(/a +'al
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P+(o*o' *+ a)(a
NA 2 14
Co&a D+)+)(+&+
-$33,593.75
-$34,013.67
$214,232.50
$216,910.41
$219,621.79
$222,367.06
$225,146.65
$227,960.98
$230,810.50
$233,695.63
$236,616.82
$239,574.53
$242,569.21
$245,601.33
P+(o*o+&o
To&al3+(o*o'
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1. AMORTIZACION FIJA A CAPITAL
CUENTA 2014 INCREMENTO
Ingreso por Ventas $ 795,246,620 $ 159,049,324.00
Costo de ventas $ 218,326,422 $ 32,748,963.30
Utilidad bruta $ 576,920,198
astos opera!ionales $ 180,745,422
utilidad opera!ional $ 396,174,776
astos "inan!ieros $ 0
Utilidad antes de i#puestos $ 396,174,776
I#puestos $ 99,043,694
Utilidad neta $ 297,131,082
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$ 954,295,944.00
$ 251,075,385.30
$ 703,220,558.70
$ 180,745,422.00
$ 522,475,136.70
$ 24,859,375.00
$ 497,615,761.70
$ 99,043,694.00
$ %&'()*2(0+*,*0
E-TA.O .E RE-U/TA.O-AU-TA.O
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2. AMORTIZACION GRADIEN
CUENTA 2014
Ingreso por Ventas $ 795,246,620
Costo de ventas $ 218,326,422
Utilidad bruta $ 576,920,198
astos opera!ionales $ 180,745,422
utilidad opera!ional $ 396,174,776
astos "inan!ieros $ 0
Utilidad antes de i#puestos $ 396,174,776
I#puestos $ 127,734,183
Utilidad neta $ 268,440,593
7/24/2019 Act 6 Gloria-Giraldo
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E GEOMETRICO DECRECIENTE
INCREMENTO
$ 159,049,324.00 $ 954,295,944.00
$ 32,748,963.30 $ 251,075,385.30
$ 703,220,558.70
$ 180,745,422.00
$ 522,475,136.70
$ 17,468,750.00
$ 505,006,386.70
$ 127,734,183.25
$ %**(2*2(20%,4)
E-TA.O .E RE-U/TA.O-AU-TA.O
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3. AMORTIZACION PAGO CUOTA FIJA
CUENTA 2014 INCREMENTO
Ingreso por Ventas $ 795,246,620 $ 159,049,324.00
Costo de ventas $ 218,326,422 $ 32,748,963.30
Utilidad bruta $ 576,920,198
astos opera!ionales $ 180,745,422
utilidad opera!ional $ 396,174,776
astos "inan!ieros $ 0
Utilidad antes de i#puestos $ 396,174,776
I#puestos $ 99,043,694
Utilidad neta $ 297,131,082
7/24/2019 Act 6 Gloria-Giraldo
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$ 954,295,944.00
$ 251,075,385.30
$ 703,220,558.70
$ 180,745,422.00
$ 522,475,136.70
$ 27,774,315.36
$ 494,700,821.34
$ 99,043,694.00
$ %&)(+)*(12*,%4
E-TA.O .E RE-U/TA.O-AU-TA.O
7/24/2019 Act 6 Gloria-Giraldo
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4. CUOTA FIJA CON PERIODOD DE GRACIA
CUENTA 2014 INCREMENTO
Ingreso por Ventas $ 795,246,620 $ 159,049,324.00
Costo de ventas $ 218,326,422 $ 32,748,963.30
Utilidad bruta $ 576,920,198
astos opera!ionales $ 180,745,422
utilidad opera!ional $ 396,174,776
astos "inan!ieros $ 0
Utilidad antes de i#puestos $ 396,174,776
I#puestos $ 99,043,694
Utilidad neta $ 297,131,082
7/24/2019 Act 6 Gloria-Giraldo
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$ 954,295,944.00
$ 251,075,385.30
$ 703,220,558.70
$ 180,745,422.00
$ 522,475,136.70
$ 27,280,205.52
$ 495,194,931.18
$ 99,043,694.00
$ %&+(1)1(2%*,1'
E-TA.O .E RE-U/TA.O-AU-TA.O
7/24/2019 Act 6 Gloria-Giraldo
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5. CUOTA FIJA CON PERIODOD MUERTO
CUENTA 2014 INCREMENTO
Ingreso por Ventas $ 795,246,620 $ 159,049,324.00
Costo de ventas $ 218,326,422 $ 32,748,963.30
Utilidad bruta $ 576,920,198
astos opera!ionales $ 180,745,422
utilidad opera!ional $ 396,174,776
astos "inan!ieros $ 0
Utilidad antes de i#puestos $ 396,174,776
I#puestos $ 99,043,694
Utilidad neta $ 297,131,082
7/24/2019 Act 6 Gloria-Giraldo
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$ 954,295,944.00
$ 251,075,385.30
$ 703,220,558.70
$ 180,745,422.00
$ 522,475,136.70
$ 22,990,720.51
$ 499,484,416.19
$ 99,043,694.00
$ 400(440(*22,1&
E-TA.O .E RE-U/TA.O-AU-TA.O