2. valor del dinero en el tiempo_201bvhfvh5_1

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  • 8/18/2019 2. Valor Del Dinero en El Tiempo_201bvhfvh5_1

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    Valor del dinero en el

    tiempo

    Valor del dinero en el

    tiempoValiente P. RAMIREZ HUERTA

    Docente

    Valiente P. RAMIREZ HUERTADocente

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    1.¿Qué representa el valor económico del

    dinero?

    2.¿Qué hay detrás del valor del dinero en el

    tiempo?

    3.¿Cuáles son los componentes de la tasa de

    interés?

    4.¿Qué es la tasa de interés real?.¿Qué representa la tasa de in!ación?

    ".¿Qué es el #ies$o?

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    Conte%to actual

    Actualmente, ningún individuo

    y/o ogani!aci"n, #uede

    $u%$i$ti $in el mane&o del

    dinero. Po ello, e$ nece$aio

    com#ende lo$ 'actores  del

    valor del dinero en eltiempo y $u cálculo.

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    Conte%to actual

    E&em#loUd. de$ea com#a una P', el vendedo ledice( el #ecio al contado e$ )/.1(((.

     Tam%i*n tenemo$ un plan a crédito, con el1) de inicial  y 24 cuotas men$uale$ de)/.4(*((. ¿Cómo pre'erir+a pa$ar ,d.?

    a+ )/. ,--- oy,%+ )/.- inicial y )/.0- a 1n de cada me$

    duante 2 a3o$

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    -ecisión de inversión

    y nanciamiento)in P'

    Al4uile ca%ina)/.5.-- al d6a

    'on P'

    Inve$i"n

    )/.,--- #o 0a3o$

    inicial )/.-20cuota$ )/.0-

    )/.,---

    '  * d i t o (

    'on tado(

    /upuesto( cuenta con )/.---y tiene la o#ci"n de

    de#o$italo a #la!o 1&o al 78

    anual ca#itali!a%lemen$ualmente, #udiendo

    etia lo$ intee$e$men$ualmente

    De#eciaci"nElecticidadIntenet 0inanciamiento

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    Conte%to actual

    E&em#lo

    9)i Ud. :uea el vendedo de la P' 4u*#e:ei6a ; Reci%i(

    a+ )/. ,--- < oy, o

    %+ )/.- inicial y )/.0- a 1n de cadame$ duante 2 a3o$

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    Valor económico del

    dinero=a$ decisiones de nanciamiento e  inversión, $e

    evalúan mediante t*cnica$ 4ue toman en cuenta el

    valor del dinero en el tiempo.

    El valor económico del dinero  e#e$enta la tasa

    de interés  y/o endimiento #o #e6odo al 4ue $e

    valoi!a el dineo a tav*$ del tiem#o.

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    Valor del dinero en

    el tiempo'on$i$te en la a#eciaci"n(

    un nuevo sol hoy es me&or ue un

    nuevo sol maana

     Todo ecu$o en el tiem#o #uedetene un endimiento :utuo

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    ¿Qué hay detrás del valor

    del dinero en el tiempo?• Podemo$ invetilo

    >enta%ili!a+

    • El #ode ad4ui$itivo #uedecam%ia con el tiem#o

    • E$ incieta la e?#ectativa de

    tene dineo en el :utuo

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    Componentes de la

    5asa de 6nterés7odemosinvertirlo

    6ncierta laco8ran9a

    3: #ies$os

    1: 5asa real deinterés

    Cam8io depoder

    aduisitivo

    2: 6n!ación

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    1. 5asa de 6nterés

    #ealInte*$ Real e$ la productividad en el uso delcapital, independiente de la in!ación y el ries$o.

    Re@e&a la a%undancia o e$ca$e! de dineo en elmecado >$rado de liuide9 del mercado+. =apre'erencia  de lo$ ahorradores por la liuide9>o:eta+, la di$#oni%ilidad de dineo en e'ectivopara consumo >demanda+.

    ; < mayor demanda mayor tasa de interés =

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    2. >a 6n!ación

    E$ una medida del aumento $eneral de precios, medido

    #o la vaiaci"n de #ecio de $. y )$. de la cana$ta

    :amilia. ndice de 7recios al Consumidor @67C:.

    )u repercusión $e nota en la pérdida del poder

    aduisitivo de la moneda. 'uando ay in@aci"n, cada

    ve! $e #uede comprar menos con la mi$ma cantidad de

    dineo.

    ; < mayor in!ación mayor tasa de interés =

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    5erminolo$+a

    6n!ación( cam%io en lo$ #ecio$ de lo$ at6culo$de la cana$ta :amilia.

    -e!ación( #e6odo$ de de#e$i"n en lo$ 4ue lo$nivele$ de #ecio$ caen en :oma geneali!ada.

    -esin!ación( tata de e@e&a el :en"meno deeducci"n de la$ alta$ ta$a$ de in@aci"n 4ue $e#odu&eon de$#u*$ de alguna ci$i$.

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    3. Al #ies$o

    E$ la posi8ilidad de perder y $iem#e e$ e$intr+nseco  al ne$ocio o inversión en 4ue

    $e coloca el dineo o ca#ital. =o$ ie$go$ $ondive$o$

     ;< mayor ries$o* mayor tasa deinterés =

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    Clasicación del

    ries$oComercial 'aacte6$tica$ del $ecto y #o$icionamiento dela '6a.

    0inanciero P*$tamo$ u oto$ 4ue $u#onen co$to$1nancieo$

    Bercado A%undancia o e$ca$e! de dineo en el mecado

    Crédito =igado a la $olvencia del #e$tataio

    7a+s Rie$go $o%eano y ie$go de tan$:eencia

    -es'asamien

    to

    De$:a$e en vencimiento$ o #la!o$ y en moneda$

    #einversión B del #ecio de contado y #ecio :utuo de unactivo 1nancieo

    Volatilidad Vaiaci"n en ta$a$ de inte*$ y ti#o de cam%io

    7ol+tico Incetidum%e #o cam%io en leye$ yegulacione$

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    0actores del valor

    del dinero

    5iempo lapso de tiempo @periodo: por elue se toma o da el capital

    5asa deinterés

    5anto por ciento del capital por

    lapso de tiempo

    CapitalCantidad de dinero dada o

    tomada en préstamo

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    0actores del valor

    del dinero

    Cuota @ # :

    Bonto @ B : /uma del capital más losintereses en un momento dado.

    7roporción de capital e intereses

    pa$ada en cada ocasión.

    6nterés cantidad de dinero ue se pa$a ose reci8e como retri8ución de un

    capital.

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    0lu&o de ca&a

    entradas y salidas de dinero durante elperiodo ue dura la operación nanciera.

    >os dia$ramas de !u&o de ca&a son de $ran

    ayuda para el análisis y resolución depro8lemas.

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    -ia$ramas de

    !u&os de ca&aE$ la e#e$entaci"n gC1ca en una e$cala detiem#o.

    • =a$ !echas  con diecci"n acia a8a&o  indican

    una salida de e:ectivo.• =a$ !echas  con diecci"n acia arri8a 

    e#e$entan un entrada de dineo en e:ectivo.• =o$ $aldo$ de entrada y e$resos, $i e$to$ $on

    positivos  con una !echa  con diecci"n aciaarri8a de lo contaio con una !echa  condiecci"n acia a8a&o.

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    -ia$ramas de !u&o

    de ca&a D s+m8olos

    • Po Valo o $uma de dineo en tiem#o denominado #e$ente.• Pn Valo o $uma de dineo en algún tiem#o :utuo.• R )eie con$ecutiva, igual de dineo al inicio o 1nal de cada

    #e6odo.• n Fúmeo de #e6odo$ me$e$ de a3o$, etc.• i Ta$a de inte*$ #o #e6odo, 8 #o me$, 8 #o a3o, etc.

    Co8ran9a

    tiempo

    -esem8olso

    1 2 3 4

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     0                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              l                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         u                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 &                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   o                    

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                d                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              e                    

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      C                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               a                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 &                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   a                    E

    D(

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    ( 1 2 3n

    nD1

    . . .tiempo

    i )

     . . .

    0lu&o de ca&a se$Fn

    el su&eto

    ( 1 2 3 nnD1. . .

    tiempo

    i )

    -uración de la operación nanciera . . .

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    /upuestos

    =a$ decisiones de nanciamiento y deinversiones  $e e1een a costos  y

    8enecios 4ue $e di$ti%uyen a lo lago deltiem#o.

    =o$ encagado$ de tomar decisiones>unidade$ econ"mica$+ an de evalua $i lo$8enecios esperados  en el :utuo &ustican invertir el dineo en elmomento actual.

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    9'"mo omogeni!a co$to$ y %ene1cio$4ue $e encuentan en di$tinto$ #eiodo$;

    =a e$#ue$ta $u#one entende lo$conce#to$ de Valor 0uturo y de Valor7resente* es decirG

    • >os !u&os pueden llevarse al 'uturoGCapitali9ación* o

    • 7ueden traerse al presenteG

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    Valor presente y

    valor 'uturo

    5iempo

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     0

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  l                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         u                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 &                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   o                    

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                d                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              e                    

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      C                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               a                   

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  &                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   a                   

    (

    C

    B

    n

     V a l o r  0 u

     t u r o

     V a l o r 

     7 r e s e n

     t e

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    Equivalencia

    financiera

    )igni1ca(

    G'om#aa cantidade$ di:eente$ dedineo u%icada$ en di$tinto$

    #eiodo$ en un #unto dado en eloi!onte del tiem#o

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     VALOR

    FUTURO

      3 573  5618 4 240

      3 000

    16

    4312830  4450 3359 2

    376 13,0

    15 VALOR

    PRESENTE

    i = 6%anual

    EQUIVALENTES

    3,000 5,000 4,000 3,000

    Equivalencia

    financieraEjemplo,según lagráfca:

    ¿Qué observamos?

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    Valor presente y valor

    'uturo* !u&o de ca&asimple

    Valor

    7resente

    Valor0uturo

    5iempo

    6nterés > I +

    =leva un Valo Pe$ente a Valoutuo

    Capital

    Monto

     Tae un Valo utuo a ValoPe$ente

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    0lu&o de ca&a

    compuesto

    R  J-- R2  J-- R5  J-- R0  J-- R  J--

    Peiodo Peiodo 2 Peiodo 5 Peiodo 0

    R7  J--

    Peiodo

    /i las cuotas son por compra a crédito de

    laptop 5oshi8a* i H 2) mensual¿Cuánto pa$ar+a al vencimiento de la cuota"* si omitió pa$ar las anteriores?¿Cuánto pa$ar+a el d+a de hoy?

    Valor0utur

    o

    Valorpresente

    A&emplo

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    Valor 0uturo0lu&o de ca&a compuesto

    R  J-- R2  J-- R5  J-- R0  J-- R  J--

    Peiodo Peiodo 2 Peiodo 5 Peiodo 0

    R7  J--

    Peiodo

    ¿Cuánto pa$ar+a si no pa$a las primeras cuotas y pretende cancelarlo al vencimiento

    de la cuota "?

    Valor0uturoH

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    Valor 7resente0lu&o de ca&a compuesto

    R  J-- R2  J-- R5  J-- R0  J-- R  J--

    Peiodo Peiodo 2 Peiodo 5 Peiodo 0

    R7  J--

    Peiodo

    ¿Cuánto pa$ar+a el d+a de hoy sidesea cancelarlo?

    Valor7resent

    eH

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    5erminolo$+a

    Valorpresente

    Valo de dineo en un tiem#o dado como#e$ente >P+Valo #e$ente neto >VPF+lu&o de e:ectivo de$contado >ED+

    'o$to ca#itali!ado >''+Valor 'uturo Valo de dineo en un tiem#o dado como :utuo

    >+Valo :utuo >V+

    Fmero de

    periodos

    >n+ )on e?#e$ado$ en( d6a$, me$e$, $eme$te$,a3o$, ..etc.

    5iempo >t+ E$ la duaci"n de la o#eaci"n 1nanciea

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    1.¿Qué representa el valor

    económico del dinero?

    2.¿Qué hay detrás del valor del

    dinero en el tiempo?3.¿Cuáles son los componentes

    de la tasa de interés?

    4.¿Qué es la tasa de interés real?

    .¿Qué representa la tasa dein!ación?

    ".¿Qué es el #ies$o?

    ta$a de inte*$ y/oendimiento #o #e6odo

    • Podemo$ invetilo• 'am%io del #ode ad4ui$itivo•

    Incieta ecu#eaci"n

    + Ta$a eal de inte*$2+ In@aci"n5+ Rie$go

    #oductividad en el u$o del ca#ital

    #o$i%ilidad de #ede

    el aumento geneal de#ecio$

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    5area 2.1

    a+ 9Ku* entiende #o la ta$a deinte*$;

    %+ 9'"mo $e enta%ili!a el dineo;c+ 9'uCle$ $on la$ cau$a$ de la

    in@aci"n;

    d+ 9Ku* e$ ge$ti"n de ie$go$;e+ 9'on un e&em#lo e?#li4ue como $e

    :oma la ta$a de inte*$;

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    Clases de Tasas de Interés