Download - ejercicios Capitulo 4_parte 1
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Cristian Camilo Hernndez Baltn 20111233033
FLUJO DE CAJAVP !"#"O A$O% #&'E%O E&'E%O
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VF VP #VE'%#4( *+*033" ( 1*000*000( *),,*1)0"3 ( 1*000*000
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A$O !"#"O VP PE'#ODO VF0 0. ( 53*000*000"006 ( 3*000*000"001 0. ( 1*000*000 - ( 1*000*000"002 0. ( 1*-00*000 ( 1*-00*000"003 0. ( 2*000*000 3 ( 2*000*000"00 0. ( 2*-00*000 2 ( 2*-00*000"00- 0. ( 2*+00*000 1 ( 2*+00*000"00 0. ( 3*000*000 0 ( 3*000*000"00
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A$O !"#"O VP PE'#ODO VF0 20. ( 53*000*000"006 ( +*)-,*)-2"001 20. ( 1*000*000 - ( 2*++*320"002 20. ( 1*-00*000 ( 3*110*00"003 20. ( 2*000*000 3 ( 3*-*000"00 20. ( 2*-00*000 2 ( 3*00*000"00- 20. ( 2*+00*000 1 ( 3*30*000"00 20. ( 3*000*000 0 ( 3*000*000"00
%UA ( 10*0-*,+"00VP ( 3*3,*))1"2
A$O !"#"O VP PE'#ODO VF0 3-. ( 53*000*000"006 ( 1+*10*33-"21 3-. ( 1*000*000 - ( *+*033"2 3-. ( 1*-00*000 ( *)+2*2-)"3+3 3-. ( 2*000*000 3 ( *)20*,-0"00 3-. ( 2*-00*000 2 ( *--*2-0"00- 3-. ( 2*+00*000 1 ( 3*,+0*000"00 3-. ( 3*000*000 0 ( 3*000*000"00
%UA ( ,*-2*)-,"3)VP ( 1*2)*3"1
A$O !"#"O VP PE'#ODO VF0 -0. ( 53*000*000"006 ( 3*1,1*+,-"001 -0. ( 1*000*000 - ( ,*-)3*,-0"002 -0. ( 1*-00*000 ( ,*-)3*,-0"003 -0. ( 2*000*000 3 ( *,-0*000"00 -0. ( 2*-00*000 2 ( -*2-*000"00
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A$O !"#"O VP PE'#ODO VF0 ,0. ( 53*000*000"006 ( ,2*12*,0,"001 ,0. ( 1*000*000 - ( 1*1)+*-,0"002 ,0. ( 1*-00*000 ( 12*-2+*1-0"00
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A$O !"#"O VP PE'#ODO0 10. ( 53*000*000"006 1 10. ( 1*000*000 -2 10. ( 1*-00*000 3 10. ( 2*000*000 3 10. ( 2*-00*000 2- 10. ( 2*+00*000 1 10. ( 3*000*000 0
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A$O !"#"O VP PE'#ODO0 30. ( 53*000*000"006 1 30. ( 1*000*000 -2 30. ( 1*-00*000 3 30. ( 2*000*000 3 30. ( 2*-00*000 2- 30. ( 2*+00*000 1 30. ( 3*000*000 0
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A$O !"#"O VP PE'#ODO0 0. ( 53*000*000"006 1 0. ( 1*000*000 -2 0. ( 1*-00*000 3 0. ( 2*000*000 3 0. ( 2*-00*000 2- 0. ( 2*+00*000 1 0. ( 3*000*000 0
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3 +0. ( 2*000*000 3 +0. ( 2*-00*000 2- +0. ( 2*+00*000 1 +0. ( 3*000*000 0
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A$O !"#"O VP PE'#ODO0 )0. ( 53*000*000"006 1 )0. ( 1*000*000 -2 )0. ( 1*-00*000 3 )0. ( 2*000*000 3 )0. ( 2*-00*000 2- )0. ( 2*+00*000 1 )0. ( 3*000*000 0
%UAVP
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VF( -*31*+3"00( 1*10*-10"00( 2*1)*1-0"00( 2*2*000"00( 3*02-*000"00( 3*0+0*000"00( 3*000*000"00( 10*2-+*),,"00( -*,)0*)2-"0,
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( 11**000"00( +*100*000"00( -*00*000"00( 3*000*000"00( 3)*-)0*-)2"00( 1*1*010"+
VF( 11*13,*3"00( 2*,0*))0"00( 1)*-+*1-0"00( 13*,1+*000"00( )*02-*000"00( -*320*000"00( 3*000*000"00( -*,-*-03"00( 1*3),*)01"0
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TASA DE INTERES VPN0.022% $1,485.330.0280% $20.970.0300% $1,480.00 Tasa Interna de Ret0.0500% $1,4!!.70 A"# 0 1 2 31.0000% $8!0.71 &'# (10000 250 250 250
2.0000% $274.583.0000% ($2!2.974.0000% ($75!.085.0000% ($1,208.50!.0000% ($1,!23.!47.0000% ($2,004.!28.0000% ($2,354.24
TIR2.5000%($0.00 0"00022 0"0002+ 0"0003 0"000
3000
2-00
2000
1-00
1000
-00
0
-00
1000
1-00
2000
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n4 5 !
250 250 10250
0"01 0"02 0"03 0"0 0"0- 0"0 0"0, 0"0+
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Tasa Interna de RetrnA"# 0 1 2 3 4&'# (4500000 2000000 2000000 2500000 3000000
TIR 43.4215%
0 0"1 0"2 0"3 0" 0"-
2000000
0
2000000
000000
000000
+000000
10000000
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0% $8,500,000.005 10% $4,!10,5!9.44
3500000 20% $2,379,704.!5
30% $1,040,!49.2240% $208,395.3150% ($322,359.40
!0% ($!!!,780.4770% ($892,317.08
0" 0",
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A"# )nt *n+ers*n -*en de a/ a Ret*r a *na de a/
1 $4,500,000.00 $2,000,000.002 $4,453,900.00 $2,000,000.003 $4,387,783.38 $2,500,000.004 $3,792,958.92 $3,000,000.00
5 $2,439,8!1.!9 $3,500,000.00
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sad *n+ers*n a(d
$1,953,900.00 $4!,100.00 $4,453,900.00$1,933,883.38 $!!,11!.!2 $4,387,783.38$1,905,175.54 $594,824.4! $3,792,958.92$1,!4!,902.7! $1,353,097.24 $2,439,8!1.!9
$1,059,387.95 $2,440,!12.05 ($750.37
Interesesa60,4342
ret*r de a*ta a *na de a/d(
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Tasa Interna de RetrnA"# 0 1 2 3&'# (10000 5123 5123 5123
TIR 25%
Per*d
0(1 10000 2500 12500 51232.00 7377 1844.25 9221.25 5124
3 4097.25 1024.3125 5121.5!25 5125
sada-ad ar*n** de
er*d
*nteresesanadsdrante eer*d
sad a *nade er*d
ret*rs a*na deer*d
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2"21)) +033"3,- )31-,"1++ ),,1)0"31*000*000
-00*00010)*)+0",
3*000*000 1*000*000 1*-00*000 2*000*000 2*-00*000 2*+00*0001+*10*33- *+*033 *)+2*2-) *)20*,-0 *--*2-0 3*,+0*000
3*000*000 1*0-0*000 1*0-0*000 1*0-0*000 1*0-0*000 1*0-0*0001+*10*33- *,0+*23- 3*+,*-+2 2*-+3*3) 1*)13*2- 1*1,*-00
0 -0*000 -0*000 )-0*000 1*-0*000 1*,-0*000
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VPN (TIO)
0% 9,800,000.00
10% 5,790,925.10
20% 3,367,991.30
30% 1,818,106.50
35% 1,249,364.20
40% 778,272.70
50% 51,851.90
60% -473,468.8070% -864,833.90
80% -1,164,010.70
90% -1,397,901.40
12 43%
Tasa de intersde !"!rt#nidad
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$!
1 4,500,000 2,000,000 1,953,900 46,100 4,453,900
2 4,453,900 2,000,000 1,933,883 66,117 4,387,783
3 4,387,783 2,500,000 1,905,176 594,824 3,792,959
4 3,792,959 3,000,000 1,646,903 1,353,097 2,439,862
5 2,439,862 3,500,000 1,059,388 2,440,612 -750
&!nt! in'ersin!*ien+! de a! (a)
etir! a inade a! (/)
Intereses ()(a) 0,4342
etir! dea"ita a inade a! (d)
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ad!in'ersin (a)-
(d)
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3*000*0003*000*000 ,*-2*)-,
1*2)*3"2
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105%
$! 0 1 2 3 4
#! 0 -7,000,000 15,000,000 8,000,000 -20,000,000
0 -519,542,651 543,075,942 141,288,050 -172,302,500
VPN (TIO)
0% 500,000.00
5% 16,064.20
10% -179,850.1015% -228,952.30
20% -208,833.40
25% -161,536.00
30% -109,152.10
35% -62,598.50
40% -26,595.50
45% -2,503.60
50% 10,059.40
55% 12,304.70
60% 5,762.60
65% -7,992.20
70% -27,480.50
75% -51,382.90
80% -78,559.50
85% -108,048.50
90% -139,052.60
95% -170,919.90
100% -203,125.00
105% -235,249.70
35%3*000*000 1*000*000 1*-00*000 2*000*000 2*-00*000
*+*033 *)+2*2-) *)20*,-0 *--*2-0
Tasa de inters de!"!rt#nidad
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5 6 7
-15,000,000 14,500,000 5,000,000
-63,037,500 29,725,000 5,000,000 -35,793,659
-235,249.7
2*+00*000 3*000*0003*,+0*000 3*000*000 2-*,23*2)3
*2)*3"2
-1.4164547193
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