taller decisiones de inversion

8/16/2019 Taller Decisiones de Inversion

1/25

Punto 2

Año Utilidad Valor presente a 00 0 01 6000000 02 15000000 11147443.51961953 21000000 13453811.1443684

4 26000000 14359568.54489235 30000000 14283390.46242616 22000000 9029729.602683157 15000000 5307442.948285558 5000000 1525127.28399019 1500000 394429.46999744

10 -750000 -170012.702585103VPN 69330930.274

Interes 16

Punto 3Año Valor

0 -1000000001 360000002 360000003 360000004 360000005 86000000 I! 30.53"

Punto 4

Año Valor0 -600000001 80000002 80000003 8000000 I!4 8000000 5.604"5 80000006 80000007 80000008 8000000

9 800000010 8000000

Punto 5

Año In#reso $osto In#reso Neto0 0 -2500000000 -25000000001 2000000000 -1500000000 5000000002 2300000000 -1650000000 650000000


2/25

3 2645000000 -1815000000 8300000004 3041750000 -1996500000 10452500005 3498012500 -2196150000 13018625006 4022714375 -2415765000 16069493757 4626121531.25 -2657341500 1968780031.258 5320039760.94 -2923075650 2396964110.94

9 6118045725.08 -3215383215 2902662510.0810 7535752583.84 -3536921536.5 3998831047.34

Punto 7

Año in#reso e#reso Neto0 -200000000 -2000000001 45000000 -32000000 130000002 45000000 -32000000 130000003 45000000 -32000000 13000000

4 45000000 -32000000 130000005 45000000 -32000000 130000006 45000000 -32000000 130000007 45000000 -32000000 130000008 45000000 -32000000 130000009 45000000 -32000000 13000000

10 45000000 -32000000 1300000011 45000000 -32000000 1300000012 45000000 -32000000 1300000013 45000000 -32000000 1300000014 45000000 -32000000 1300000015 45000000 -32000000 1300000016 45000000 -32000000 1300000017 45000000 -32000000 1300000018 45000000 -32000000 1300000019 45000000 -32000000 1300000020 45000000 -32000000 1300000021 45000000 -32000000 1300000022 45000000 -32000000 1300000023 45000000 -32000000 1300000024 135000000 -32000000 103000000

Punto 8

Año Valor Presente0 -50000000 -500000001 -60000000 -51282051.28205132 20000000 14610271.02052743 25000000 15609263.9108199


3/25

4 30000000 16009501.44699485 35000000 15963890.33176126 40000000 15593543.6696087 125000000 41649422.1944658

Interes 17

I! 21.36"VPN 18153841.2921258

Punto 9

Año Valor Presente0 -150000000 -1500000001 4800000 40000002 5280000 3666666.666666673 5808000 3361111.11111111

4 6388800 3081018.518518525 7027680 2824266.975308646 207730448 69568506.7301098

In%re&ento 10Interes 20

I! 8.51"VPN -63498429.9982853

Punto 1,1

Año Valor Presente Ini%io ' ()t)ro N)e*o pro0 -11.1 -11.1 -39.0729526672 -39.072952671 -17.2 -15.6363636364 02 -12.6 -10.4132231405 03 -2.56 -1.9233658903 04 9.75 6.6593811898 14.274975 05 17.23 10.6984743963 22.93313 06 17.75 10.0194122585 21.4775 07 17.95 9.2111882222 19.745 08 43.52 20.3024011867 43.52 121.950605

+! 10 I! 18.04"VPN 17.8179045864

I!+ 15.29"

Punto 1 parte 2


4/25

Año Valor0 -30000001 -30000002 -30000003 20000004 2500000

5 30000006 35000007 40000008 4500000

I! 17.57"

Punto 2 parte 2

Año ,)ipo A ,)ipo

0 -9000 -9000 -14500 -145001 4500 4054.0540540541 6000 5405.40540542 4500 3652.3009495983 6000 4869.73459953 4500 3290.3612158543 8000 5849.5310504

+! 11VPN 1996.7162195066 1624.6710553

I! 23.38" 17.025"

Punto 3 parte 2

Año Valor Presente0 -30000000 -300000001 -8700000 -7909090.909090912 -8700000 -7190082.64462813 -8700000 -6536438.767843724 -8700000 -5942217.061676115 -8700000 -5402015.510614656 -8700000 -4910923.191467867 -8700000 -4464475.628607158 -8700000 -4058614.20782468

9 -8700000 -3689649.2798406210 -8700000 -3354226.61803692

Punto 4 parte 2

Año Valor P!,/,N, Año0 50000000 50000000 0


5/25

1 25000000 20833333.3333333 12 25000000 17361111.1111111 23 25000000 14467592.5925926 34 25000000 12056327.1604938 45 25000000 10046939.3004115 56 20000000 6697959.53360768 6

7 15000000 4186224.7085048 78 10000000 2325680.39361378 89 5000000 969033.497339075 9

+! 20 +!VPN 138944201.631 VPN

Punto 6 parte 2

Año Valor P!,/,N,0 -1000000 -10000001 -800000 -695652.1739130442 200000 151228.7334593573 -600000 -394509.7394591934 300000 171525.973677915 450000 223729.530884236 550000 237780.1777513567 800000 300749.631938474

+! 15 0.15VPN -1005147.86566

I!+ 4.718"


6/25


7/25

I!38.10"

I!

5.314"


8/25


9/25

Valor P!,/,N,75000000 75000000


10/25

25000000 21739130.425000000 18903591.725000000 16437905.825000000 14293831.1

5000000 2485883.685000000 2161637.98

5000000 1879685.25000000 1634508.875000000 1421312.06

15155957487


11/25


12/25

año 0 1 2 3 4,!,// 4000000IN!,// 1800000 1800000 1800000 1800000neto -4000000 1800000 1800000 1800000 1800000VP -4000000 1500000 1250000 1041666.67 868055.556

+! 0.2

VPN 1985918.2098766 I! 39"A,!NAIVA Aaño 0 1 2 3 4,!,// 4000000IN!,// 1800000 1800000 1800000 1800000neto -4000000 1800000 1800000 1800000 1800000VP -4000000 1333333.33 987654.320988 731595.793 541922.81

+! 0.35VPN 293281.89712754

I! 39"A,!NAIVA Aaño 0 1 2 3 4,!,// 4000000IN!,// 1800000 1800000 1800000 1800000neto -4000000 1800000 1800000 1800000 1800000VP -4000000 1241379.31 856123.662307 590430.112 407193.181

+! 0.45VPN -430379.8976301

aller parte 2,,!$I$I 1año 0 1 2 3 4,!,// 3000000 3000000 3000000IN!,// 2000000 2500000neto -3000000 -3000000 -3000000 2000000 2500000VP

+! 0.1VPN

I! 17.57"

,,!$I$I 2año 0 1 2 3,!,// 9000IN!,// 4500 4500 4500neto -9000 4500 4500 4500VP -9000 4054.05405 3652.3009496 3290.36122

+! 0.11


13/25

VPN 1996.7162195066 I! 23.38"

,,!$I$I 3año 0 1 2 3 4,. INI$IA -30000000 -2814065 -2814064.984 -2814065 -2814065

,. !,PA!A$IN,/ -900000 -900000 -900000 -900000,. /,U!/ -1800000 -1800000 -1800000 -1800000N, -30000000 -5514065 -5514064.984 -5514065 -5514065V( -132343052.3595 -20969776 -18077392.759 -15583959 -13434448

+! 0.16V(N -249911019.3118

I!

,,!$I$I 4

$N/!U+AA 0 1 2 3 4,!,// -50000000 -25000000 -25000000 -25000000 -25000000N, -50000000 -25000000 -25000000 -25000000 -25000000VP -50000000 -20833333 -17361111.111 -14467593 -12056327VPN -138944201.631

+! 0.2

$N!A(,!AA 0 1 2 3 4,!,// -75000000 -25000000 -25000000 -25000000 -25000000N, -75000000 -25000000 -25000000 -25000000 -25000000VP -75000000 -21739130 -18903591.682 -16437906 -14293831VPN -155957486.8529

+! 0.15

,,!$I$I 6año 0 1 2 3 4,!,// -1000000 -800000 -600000IN!,// 200000 300000

VP -1000000 -695652.174 151228.733459 -394509.739 171525.974V( 0 0 402271.4375 0 456262.5N, -1000000 -695652.174 402271.4375 -394509.739 456262.5

+! 0.15VPN -1005147.865661

I!+ 11" I!+ -3.669"


14/25

5 6 7 8 9 1013000000 13000000 13000000 13000000 13000000 13000000

13000000 13000000 13000000 13000000 13000000 130000005682419.81 4815610.01 4081025.43 3458496.13 2930928.92 2483838.06987688

5 6 7 +!0.17

35000000 40000000 12500000035000000 40000000 125000000

15963890.3 15593543.7 41649422.2

5 6

7027680 2077304487027680 207730448

2824266.98 69568506.7

A,!NAIVA 5 6 año 0 1

,!,// 5000000

1800000 1800000 IN!,// 35000001800000 1800000 neto -5000000 3500000

484792.334 372917.18 VP -5000000 2692307.69230769 +! 0.3VPN 4249610.87

I! 67"

A,!NAIVA


15/25

5 6 año 0 1,!,// 5000000

1800000 1800000 IN!,// 35000001800000 1800000 neto -5000000 3500000

723379.63 602816.358 VP -5000000 2916666.66666667 +! 0.2

VPN 6639285.41 I! 67"A,!NAIVA

5 6 año 0 1,!,// 5000000

1800000 1800000 IN!,// 35000001800000 1800000 neto -5000000 3500000

401424.304 297351.336 VP -5000000 2592592.59259259 +! 0.35VPN 3348048.13

I! 67"A,!NAIVA 5 6 año 0 1

,!,// 50000001800000 1800000 IN!,// 35000001800000 1800000 neto -5000000 3500000

280822.883 193670.954 VP -5000000 2413793.10344828 +! 0.45VPN 1940927.98

5 6 7 8

3000000 3500000 4000000 45000003000000 3500000 4000000 4500000

año 0 1 2 3,!,// 14500IN!,// 6000 6000 8000neto -14500 6000 6000 8000VP -14500 5405.40541 4869.7346 5849.53105

+! 0.11


16/25

VPN 1624.67106 I! 17.03" ,/$ A A

5 6 7 8 9 10-2814065 -2814065 -2814065 -2814065 -2814065 -2814064.984

-900000 -900000 -900000 -900000 -900000 -900000-1800000 -1800000 -1800000 -1800000 -1800000 -1800000-5514065 -5514065 -5514065 -5514065 -5514065 -5514064.984

-11581420 -9983983.09 -8606882 -7419725.84 -6396315.38 -5514064.984

5 6 7 8 9-25000000 -20000000 -15000000 -10000000 -5000000-25000000 -20000000 -15000000 -10000000 -5000000-10046939 -6697959.53 -4186224.71 -2325680.39 -969033.497

5 6 7 8 9-5000000 -5000000 -5000000 -5000000 -5000000-5000000 -5000000 -5000000 -5000000 -5000000

-2485883.68 -2161638 -1879685.2 -1634508.87 -1421312.06

5 6 7

450000 550000 800000

223729.531 237780.178 300749.632595125 632500 800000595125 632500 800000


17/25

11 12 13 14 15 1613000000 13000000 13000000 13000000 13000000 13000000

13000000 13000000 13000000 13000000 13000000 130000002104947.52 1783853.83 1511740.53 1281136.04 1085708.51 920091.959

2 3 4 5 6

3500000 3500000 3500000 3500000 35000003500000 3500000 3500000 3500000 3500000

2071005.92 1593081.47 1225447.29 942651.76 725116.739


18/25

2 3 4 5 6

3500000 3500000 3500000 3500000 35000003500000 3500000 3500000 3500000 3500000

2430555.56 2025462.96 1687885.8 1406571.5 1172142.92

2 3 4 5 6

3500000 3500000 3500000 3500000 35000003500000 3500000 3500000 3500000 3500000

1920438.96 1422547.38 1053738.8 780547.257 578183.153

2 3 4 5 6

3500000 3500000 3500000 3500000 35000003500000 3500000 3500000 3500000 3500000

1664684.9 1148058.55 791764.518 546044.495 376582.41


19/25


20/25

17 18 19 20 21 2213000000 13000000 13000000 13000000 13000000 13000000

13000000 13000000 13000000 13000000 13000000 13000000779738.949 660795.719 559996.372 474573.197 402180.675 340831.081

A,!NAIVA $año 0 1 2 3 4,!,// 6000000

IN!,// 4500000 4500000 4500000 4500000neto -6000000 4500000 4500000 4500000 4500000VP -6000000 3461538.46 2662721.89 2048247.61 1575575.08

+! 0.3VPN 5892356.83

I! 72"

A,!NAIVA $


21/25

año 0 1 2 3 4,!,// 6000000IN!,// 4500000 4500000 4500000 4500000neto -6000000 4500000 4500000 4500000 4500000VP -6000000 3750000 3125000 2604166.67 2170138.89

+! 0.2

VPN 8964795.52 I! 72"A,!NAIVA $año 0 1 2 3 4,!,// 6000000IN!,// 4500000 4500000 4500000 4500000neto -6000000 4500000 4500000 4500000 4500000VP -6000000 3333333.33 2469135.8 1828989.48 1354807.02

+! 0.35VPN 4733204.74

I! 72"A,!NAIVA $año 0 1 2 3 4,!,// 6000000IN!,// 4500000 4500000 4500000 4500000neto -6000000 4500000 4500000 4500000 4500000VP -6000000 3103448.28 2140309.16 1476075.28 1017982.95

+! 0.45VPN 2924050.26


22/25


23/25

23 2413000000 103000000

13000000 103000000288839.899 1939407.4

5 6

4500000 45000004500000 4500000

1211980.83 932292.95


24/25

5 6

4500000 45000004500000 4500000

1808449.07 1507040.9

5 6

4500000 45000004500000 4500000

1003560.76 743378.34

5 6

4500000 45000004500000 4500000

702057.208 484177.385


25/25

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