Actividad Individua 5 Degny Echavarria

7/26/2019 Actividad Individua 5 Degny Echavarria

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ACTIVIDAD 5 : MATEMATICA FINANCIERA

DEGNY ECHAVARRIA

LUIS FERMIN ORTIZTUTOR

PRESENTADO A:

UNIVERSIDAD NACIONAL ABIERTA Y A DISTANCIAESCUELA DE CIENCIAS BSICAS, TECNOLOGA E ING

PROGRAMA: INGENIERIA INDUSTRIALCURSO: MATEMATICAS FINANCIERAS


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UNADNIERAS


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ABSTRACT

En e !"e#en$e $"%&%'( #e !"e$en)e %!*+%" e)*%n$e -n e#$-)*( )e +%#( (# +(n+e!$(# %!"e.en)*)(#en % -n*)%) )(# )e +-"#( %$e%$*+% /*n%n+*e"% 0-e $"%$% )e % e1%-%+*(n )e %$e"n%$*1%# )e*n1e"#*(n % $(% )e )e+*#*(ne# e!"e#%"*%e# e/e+$*1%#3 A +(n$*n-%+*(n #e !"e#en$%n e e#$-)*()e +%#( )e % e!"e% )e $"%n#/("%+*(n )e !"()-+$(# %4"(!e+-%"*(# !"()-+$(# )e 4-%%&% *4$.$)% 0-e *!("$% +(n#e"1%n$e#, !"e#e"1%n$e# %0-*n%"*% ne+e#%"*(# !%"% )e#%""(%" #- %+$*1*)%)!"()-+$*1%3 E e#$-)*( )e +%#( +(n$*ene (# /-'(# )e /(n)(# )e % e!"e#%, e VPN % TIR3


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ESTUDIO DE CASO MATEMATICA FINANCIERA

L% e!"e#% )e $"%n#/("%+*n )e !"()-+$(# %4"(!e+-%"*(# P"()-+$(# )e G-%%&% L*4$. L$)%, *!

L% '-n$% D*"e+$*1% )e#e% "e%*6%" !"(n#$*+(# +(n "e#!e+$( % %# !"(e++*(ne# )e ne4(+*(, $en*en)

%3 E#$%&e6+% e /-'( )e /(n)(# )e % e!"e#% !%"% (# #*4-*en$e# +*n+( %7(# -$**6%n)( E8+e3 E %

&3 En e %"+.*1( )e E8+e %n$e"*(" e#$*e e VPN ;VAN< % TIR $en*en)( en +-en$% (# )%$(# &9#*

ESPERADO

V(-en )e 1en$%# %n-%e# en -n*)%)e# =>>5?5P"e+*( Un*$%"*( @,2C(#$( Un*$%"*( @=5C(#$( F*'( @?5,>,?V%(" Re#*)-% @,5,In1e"#*(n @5,,T%#% )e De#+-en$(

Rubros

Ingresos @=,?,2?5

Ven$%# @=,?,2?5V%(" Re#*)-%

Egresos @5,, @5,>>5,55

C(#$( F*'( @?5,>,?C(#$( V%"*%&e @,5,5In1e"#*(n @5,,

Flujo Neto @5,, @2,5,?

In)*+%)("e# )e e1%-%+*(n

CUADRO DE DATOS BASICOS DE LAEMPRESA A DIC DE 2?


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VAN @5,=5,32TIR =?


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("$% +(n#e"1%n$e#, !"e#e"1%n$e# %0-*n%"*%, ne+e#%"*(# !%"% )e#%""(%" #- %+$*1*)%) !"()-+$*1%3

en +-en$% %# +(n)*+*(ne# %+$-%e#, *n**6%n)( e "*e#4(3

"+.*1( )e&e +(n$ene" %# /"-%# )e )*#e7(, !-e# e $-$(" %# 1e"*/*+%"9 en e !"(+e#( e1%-%$*1(, )e %+

+(# )e % e!"e#%3 L%# /"-%# )e&en #e" #-#+e!$*&e# )e 1e"*/*+%+*n !(" !%"$e )e $-$("3

CASO

=>>5?5@,2

@=5

2 ? 5

@=,?,2?5 @=,?,2?5 @=,?,2?5 @,?,2?5

@=,?,2?5 @=,?,2?5 @=,?,2?5 @=,?,2?5@,5,

@5?,=?,5> @=>,?,?5 @=2,>2>,>2 @=2,,22

@,?5>,? @=,2,?2 @>,2?,52 @>,=,2@,5,5 @,5,5 @,5,5 @,5,5

@=,=,=> @,5?,> @5,2,> @5>,5?,??


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e")( +(n % "&"*+%3


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ESTUDIO DE CASO MATEMATICA FINANC

ESPERADO

V(-en )e 1en$%# %n-%e# en -n*)%)e# =5P"e+*( Un*$%"*( @,C(#$( Un*$%"*( @,>C(#$( F*'( @?5,>,?V%(" Re#*)-% @,5,In1e"#*(n @5,,T%#% )e De#+-en$(

Rubros

Ingresos

Ven$%#V%(" Re#*)-%

Egresos @5,,

C(#$( F*'(C(#$( V%"*%&e

In1e"#*(n @5,,

Flujo Neto @5,,

In)*+%)("e# )e e1%-%+*(nVAN @5,5==,??,=35=TIR ?



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ERA

CASO 2

=5@,

@>

2 ?

@5,, @5,, @5,, @5,,

@5,, @5,, @5,, @5,,

@5,25,>,? @5,25,>,? @5,25,>,? @5,25,>,?

@?5,>,? @?5,>,? @?5,>,? @?5,>,?@5,,, @5,,, @5,,, @5,,,

@,,>,? @,,>,? @,,>,? @,,>,?


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5

@=,5,

@5,,@,5,

@5,25,>,?

@?5,>,?@5,,,

@,>,2>,?


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ESPERADO

V(-en )e 1en$%# %n-%e# en -n*)%)e# =5

P"e+*( Un*$%"*( @,C(#$( Un*$%"*( @>C(#$( F*'( @?5,>,?V%(" Re#*)-% @,5,In1e"#*(n @5,,T%#% )e De#+-en$( ?

Rubros

Ingresos @5,,

Ven$%# @5,,V%(" Re#*)-%

Egresos @5,, @=2,>,?

C(#$( F*'( @?5,>,?

C(#$( V%"*%&e @5,,In1e"#*(n @5,,

Flujo Neto @5,, @2,2,5

In)*+%)("e# )e e1%-%+*(nVAN @>=,53>=TIR ?



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CASO ?

=5

@,@>

2 ? 5

@5,, @5,, @5,, @=,5,

@5,, @5,, @5,, @5,,@,5,

@=2,>,? @2,>,? @=2,>,? @=2,>,?

@?5,>,? @?5,>,? @?5,>,? @?5,>,?

@5,, @5,, @5,, @5,,@5,,

@2,2,5 @,>,? @2,2,5 @?,,5


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ESPERADO

V(-en )e 1en$%# %n-%e# en -n*)%)e# 5

P"e+*( Un*$%"*( @>C(#$( Un*$%"*( @>C(#$( F*'( @?5,>,?V%(" Re#*)-% @,5,In1e"#*(n @5,,T%#% )e De#+-en$( 2

Rubros

Ingresos @?5,,

Ven$%# @?5,,V%(" Re#*)-%

Egresos @5,, @2,>,?

C(#$( F*'( @?5,>,?C(#$( V%"*%&e @5>5,,In1e"#*(n @5,,

Flujo Neto @5,, @,2,5

In)*+%)("e# )e e1%-%+*(nVAN @,>,23TIR 2



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CASO

5

@>@>

2 ? 5

@?5,, @?5,, @?5,, @?=,5,

@?5,, @?5,, @?5,, @?5,,@,5,

@2,>,? @2,>,? @2,>,? @2,>,?

@?5,>,? @?5,>,? @?5,>,? @?5,>,?@5>5,, @5>5,, @5>5,, @5>5,,

@,2,5 @,2,5 @,2,5 @5,,5


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ESPERADO

V(-en )e 1en$%# %n-%e# en -n*)%)e# 2252P"e+*( Un*$%"*( @,C(#$( Un*$%"*( @=5C(#$( F*'( @?5,>,?V%(" Re#*)-% @,5,In1e"#*(n @5,,T%#% )e De#+-en$(

Rubros

Ingresos @5,2,2

Ven$%# @5,2,2V%(" Re#*)-%

Egresos @5,, @5,=,2?

C(#$( F*'( @?5,>,?C(#$( V%"*%&e @=,>,>In1e"#*(n @5,, @,,

Flujo Neto @5,, @>,5,

In)*+%)("e# )e e1%-%+*(nVAN @=,=,==232TIR



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CASO 5

2252@,@=5

2 ? 5

@5,2,2 @5,2,2 @5,2,2 @=,,2

@5,2,2 @5,2,2 @5,2,2 @5,2,2@,5,

@>55,=,2? @>5,=,2? @5,=,2? @>5,=,2?

@?5,>,? @?5,>,? @?5,>,? @?5,>,?@=,>,> @=,>,> @=,>,> @=,>,>@25,, @2,, @,, @2,,

@=,52,? @,52,? @>,5, @>,52,?


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ESPERADO

V(-en )e 1en$%# %n-%e# en -n*)%)e# >5

P"e+*( Un*$%"*( @,?C(#$( Un*$%"*( @>C(#$( F*'( @?5,>,?V%(" Re#*)-% @,5,In1e"#*(n @5,,T%#% )e De#+-en$( ?

Rubros

Ingresos @,=,5,

Ven$%# @,=,5,V%(" Re#*)-%

Egresos @5,, @=?,=>,?

C(#$( F*'( @?5,>,?C(#$( V%"*%&e @=2,,

In1e"#*(n @5,,

Flujo Neto @5,, @2>2,>,5

In)*+%)("e# )e e1%-%+*(nVAN @=,,>23>TIR >



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CASO =

>5@,?

@>

2 ? 5

@,=,5, @,=,5, @,=,5, @,>,,

@,=,5, @,=,5, @,=,5, @,=,5,@,5,

@=?,=>,? @=?,=>,? @=?,=>,? @?,=>,?

@?5,>,? @?5,>,? @?5,>,? @?5,>,?@=2,, @=2,, @=2,, @=2,,

@5,,

@2>2,>,5 @2>2,>,5 @2>2,>,5 @?,?,5


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ESPERADO

V(-en )e 1en$%# %n-%e# en -n*)%)e# =5

P"e+*( Un*$%"*( @,C(#$( Un*$%"*( @>2C(#$( F*'( @?5,>,?V%(" Re#*)-% @,5,In1e"#*(n @5,,T%#% )e De#+-en$( ?

Rubros

Ingresos @5,,

Ven$%# @5,,V%(" Re#*)-%

Egresos @5,, @==>,>,?

C(#$( F*'( @?5,>,?C(#$( V%"*%&e @5??,,

In1e"#*(n @5,,

Flujo Neto @5,, @=,2,5

In)*+%)("e# )e e1%-%+*(nVAN @?,?,5=3TIR



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CASO

=5@,

@>2

2 ? 5

@5,, @5,, @5,, @=,5,

@5,, @5,, @5,, @5,,@,5,

@==>,>,? @==>,>,? @==>,>,? @==>,>,?

@?5,>,? @?5,>,? @?5,>,? @?5,>,?@5??,, @5??,, @5??,, @5??,,

@=,2,5 @=,2,5 @=,2,5 @,,5


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ESPERADO

V(-en )e 1en$%# %n-%e# en -n*)%)e# 2252P"e+*( Un*$%"*( @>C(#$( Un*$%"*( @=5C(#$( F*'( @?5,>,?V%(" Re#*)-% @,5,In1e"#*(n @5,,T%#% )e De#+-en$( ?

Rubros

Ingresos @>,2,=

Ven$%# @>,2,=V%(" Re#*)-%

Egresos @5,, @=5,=,2?

C(#$( F*'( @?5,>,?C(#$( V%"*%&e @=,>,>In1e"#*(n @5,,

Flujo Neto @5,, @2,?,?

In)*+%)("e# )e e1%-%+*(nVAN @22,?=?,=355TIR =?



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CASO >

2252@>@=5

2 ? 5

@>,2,= @>,2,= @>,2,= @,2,=

@>,2,= @>,2,= @>,2,= @>,2,=@,5,

@=5,=,2? @=5,=,2? @=5,=,2? @=5,=,2?

@?5,>,? @?5,>,? @?5,>,? @?5,>,?@=,>,> @=,>,> @=,>,> @=,>,>

@2,?,? @2,?,? @2,?,? @,2?,?


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ESTUDIO DE CASO MATEMATICA FINANCIER

TABLA RESUMEN DE ESCENARIOS PROPUESTOS PARA E

CASOS P"e+*( Un*$%"*(

=>>,5?5 @,2

=5, @,

=5, @,

22,52 @,

5, @>

22,52 @,

=5, @,

+3 E#$*e e VPN % TIR $en*en)( en +-en$% +%&*(# en %# 1%"*%&e# )e %+-e")( +(n (# #-

+-%)"( #*4-*en$e .%#$% +(!e$%" $()(# (# )%$(# "e0-e"*)(#:

N(&"e# %!e*)(# )e *n$e4"%n$e )e 4"-!( ;D**4en+*e en e +-%)"( #*4-*en$e e n(&"e+(!e$( )e 0-*en +(!%"$e % $%&%=

" % VAN , TIR CAUE3 T*e!( >,? *n-$(#3

1%(" en "*e#4( ;VAR< #- +(!%"%+*n3 A!*+%+*(ne# 3 PDF3

#*-%$("


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VENTA$AS DE RIS% SIMULATOR

Se !-e)en "e%*6%" %n9*#*# )e #en#*&**)%) )e $("n%)( (# +-%e#!e"*$en *)en$*/*+%" (# /%+$("e# 0-e !-e)en *n/-en+*%" )e /("%!(#*$*1% ( ne4%$*1% en % 1%"*%&e (&'e$*1(3 Se (&$*enen"e#-$%)(# %+e"+% )e )e#e!e7( )e %# 1%"*%&e# )e *n$e"e# !%"% %#*#$*" % !"(+e#( )e$(% )e )e+*#*(ne#3 Pe"*$e e*$*" +-% e# % )*#$"*&-+*(n!"(&%&**#$*+% 0-e #*4-en (# "e#-$%)(# '-n$( % #-# !"(&%&**)%)e# )e (+-""en+*%3

A)e9# )e % /-n+*n e#$*%)%, ($"( "e#-$%)( )e % #*-%+*n e# -n%e)*)% )e e""(" en$"e % /-n+*n +%+-%)% % !%"$*" )e % -e#$"% % )e % !(&%+*n3 En e/e+$(, % )e#1*%+*n e#$9n)%" )e % -e#$"% !e"*$e $ene" -n% e)*)% )e % +%*)%))e e#$*%$*1(, !e"( $%&*n )e % e'("% en e#$e e#$*%$*1( % e)*)% 0-e #e*n+"een$% e ne"( )e e8!e"*en$(#3 A#, % !($en+*% )e $()( )e #*-%+*n )e M(n$e C%"( )e#+%n#% en #- +%!%+*)%))e en$"e4%" e#$*%+*(ne# - +e"+%n%# % % )e % !(&%+*n M-e#$"% % /"e+-en+*% )e (# 1%("e# e#$*%)(# An9*#*# )e Ce"$*)-&"e E#$%)#$*+%# Pe"+en$*e#

Actividad Individua 5 Degny Echavarria

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