173:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.2 Aplicación de progresiones en finanzas:@0.073089:0.136836:0.407411:0.136836:0.407411:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valor futuro:@0.073089:0.164198:0.162870:0.164198:0.162870:0.147529:0.073089:0.147529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dispongo de $100 que deposito en una cuenta de una entidad financiera. Esta entidad :@0.073089:0.188995:0.710764:0.188995:0.710764:0.172561:0.073089:0.172561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paga el 5,2 % de interés cada año. :@0.073089:0.206649:0.321346:0.206649:0.321346:0.190215:0.073089:0.190215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuánto tengo al final del primero, segundo, ...,  -ésimo período? El período puede ser :@0.073089:0.235023:0.710561:0.235023:0.710561:0.218589:0.073089:0.218589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.420544:0.235023:0.430042:0.235023:0.430042:0.218617:0.420544:0.218617:0.000000
anual, semestral, quinquenal, etc. :@0.073089:0.252677:0.316028:0.252677:0.316028:0.236243:0.073089:0.236243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notaciones:   designa el valor presente o capital;   = $100, la tasa de interés anual que :@0.073089:0.281052:0.710263:0.281052:0.710263:0.264618:0.073089:0.264618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VP:@0.161941:0.281052:0.179740:0.281052:0.179740:0.264646:0.161941:0.264646:0.000000:0.000000
VP:@0.434055:0.281052:0.451855:0.281052:0.451855:0.264646:0.434055:0.264646:0.000000:0.000000
paga la entidad financiera   es   = 5,2 % = 0,052; el interés que se gana durante el año es :@0.073089:0.298706:0.710657:0.298706:0.710657:0.282272:0.073089:0.282272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.264303:0.298706:0.269586:0.298706:0.269586:0.282300:0.264303:0.282300:0.000000
r:@0.292982:0.298706:0.298265:0.298706:0.298265:0.282300:0.292982:0.282300:0.000000
Int. Para este ejemplo,:@0.073070:0.316360:0.231159:0.316360:0.231159:0.299926:0.073070:0.299926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Int =   ×   = 100 × 0,052 = 0,52.:@0.272274:0.334014:0.507279:0.334014:0.507279:0.317580:0.272274:0.317580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VP:@0.310542:0.334014:0.328342:0.334014:0.328342:0.317608:0.310542:0.317608:0.000000:0.000000
r:@0.347081:0.334014:0.352364:0.334014:0.352364:0.317608:0.347081:0.317608:0.000000
El número de períodos se designa con n; el valor futuro al final de n períodos es :@0.073070:0.362389:0.657887:0.362389:0.657887:0.345955:0.073070:0.345955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.657943:0.362389:0.675043:0.362389:0.675043:0.345982:0.657943:0.345982:0.000000:0.000000
n:@0.674990:0.365537:0.680527:0.365537:0.680527:0.355972:0.674990:0.355972:0.000000
. En :@0.680490:0.362365:0.710384:0.362365:0.710384:0.345931:0.680490:0.345931:0.000000:0.000000:0.000000:0.000000:0.000000
este ejemplo, en el primer año,   = 1, se tiene:@0.073088:0.380019:0.400902:0.380019:0.400902:0.363585:0.073088:0.363585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.300104:0.380019:0.309602:0.380019:0.309602:0.363613:0.300104:0.363613:0.000000
VF:@0.255246:0.404815:0.272328:0.404815:0.272328:0.388409:0.255246:0.388409:0.000000:0.000000
1:@0.272279:0.407985:0.277516:0.407985:0.277516:0.398404:0.272279:0.398404:0.000000
 =   + Int =   +  ×  =  (1 +  ).:@0.277470:0.404813:0.524201:0.404813:0.524201:0.388379:0.277470:0.388379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VP:@0.296264:0.404813:0.314064:0.404813:0.314064:0.388407:0.296264:0.388407:0.000000:0.000000
VP:@0.371071:0.404813:0.388871:0.404813:0.388871:0.388407:0.371071:0.388407:0.000000:0.000000
Vp r:@0.407609:0.404813:0.442031:0.404813:0.442031:0.388407:0.407609:0.388407:0.000000:0.000000:0.000000:0.000000
VP:@0.460751:0.404813:0.478551:0.404813:0.478551:0.388407:0.460751:0.388407:0.000000:0.000000
r:@0.510985:0.404813:0.516267:0.404813:0.516267:0.388407:0.510985:0.388407:0.000000
Con   = 0,052,   = 100, se obtiene :@0.073113:0.433187:0.327354:0.433187:0.327354:0.416753:0.073113:0.416753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.106853:0.433187:0.112136:0.433187:0.112136:0.416781:0.106853:0.416781:0.000000
VP:@0.176654:0.433187:0.194453:0.433187:0.194453:0.416781:0.176654:0.416781:0.000000:0.000000
VF:@0.327151:0.433187:0.344233:0.433187:0.344233:0.416781:0.327151:0.416781:0.000000:0.000000
1:@0.344163:0.436357:0.349400:0.436357:0.349400:0.426776:0.344163:0.426776:0.000000
 = 105,2.:@0.349352:0.433184:0.410133:0.433184:0.410133:0.416751:0.349352:0.416751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interesa calcular el valor futuro :@0.073096:0.461559:0.298555:0.461559:0.298555:0.445125:0.073096:0.445125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.298272:0.461559:0.315354:0.461559:0.315354:0.445153:0.298272:0.445153:0.000000:0.000000
n:@0.315289:0.464729:0.321041:0.464729:0.321041:0.455148:0.315289:0.455148:0.000000
 al cabo de n períodos. :@0.320995:0.461556:0.488961:0.461556:0.488961:0.445122:0.320995:0.445122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se comienza el segundo año con la cantidad de $ 105,2, gana interés de  = 5,2 % = :@0.073104:0.479210:0.679163:0.479210:0.679163:0.462777:0.073104:0.462777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r :@0.598484:0.479210:0.607007:0.479210:0.607007:0.462804:0.598484:0.462804:0.000000:0.000000
0,052. Al final del segundo año, se tiene::@0.073104:0.496865:0.361338:0.496865:0.361338:0.480431:0.073104:0.480431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.198531:0.521661:0.215613:0.521661:0.215613:0.505255:0.198531:0.505255:0.000000:0.000000
2:@0.215545:0.524827:0.220782:0.524827:0.220782:0.515246:0.215545:0.515246:0.000000
 = :@0.220734:0.521655:0.239620:0.521655:0.239620:0.505221:0.220734:0.505221:0.000000:0.000000:0.000000
VF:@0.239528:0.521655:0.256610:0.521655:0.256610:0.505249:0.239528:0.505249:0.000000:0.000000
1:@0.256549:0.524827:0.261786:0.524827:0.261786:0.515246:0.256549:0.515246:0.000000
 + Int = :@0.261739:0.521655:0.318923:0.521655:0.318923:0.505221:0.261739:0.505221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.318801:0.521655:0.335883:0.521655:0.335883:0.505249:0.318801:0.505249:0.000000:0.000000
1:@0.335816:0.524827:0.341053:0.524827:0.341053:0.515246:0.335816:0.515246:0.000000
 + :@0.341007:0.521655:0.359893:0.521655:0.359893:0.505221:0.341007:0.505221:0.000000:0.000000:0.000000
VF:@0.359801:0.521655:0.376883:0.521655:0.376883:0.505249:0.359801:0.505249:0.000000:0.000000
1:@0.376821:0.524827:0.382058:0.524827:0.382058:0.515246:0.376821:0.515246:0.000000
 ×   = :@0.382012:0.521655:0.424900:0.521655:0.424900:0.505221:0.382012:0.505221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.400805:0.521655:0.406088:0.521655:0.406088:0.505249:0.400805:0.505249:0.000000
VF:@0.424808:0.521655:0.441890:0.521655:0.441890:0.505249:0.424808:0.505249:0.000000:0.000000
1:@0.441833:0.524827:0.447070:0.524827:0.447070:0.515246:0.441833:0.515246:0.000000
(1 +  ) =   (1 +  ) .:@0.447023:0.521655:0.580907:0.521655:0.580907:0.505221:0.447023:0.505221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.479511:0.521655:0.484794:0.521655:0.484794:0.505249:0.479511:0.505249:0.000000
VP:@0.508300:0.521655:0.526100:0.521655:0.526100:0.505249:0.508300:0.505249:0.000000:0.000000
r:@0.562491:0.521655:0.567774:0.521655:0.567774:0.505249:0.562491:0.505249:0.000000
2:@0.572515:0.515591:0.577752:0.515591:0.577752:0.506010:0.572515:0.506010:0.000000
Así, :@0.188648:0.550029:0.216915:0.550029:0.216915:0.533595:0.188648:0.533595:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.216812:0.550029:0.233893:0.550029:0.233893:0.533623:0.216812:0.533623:0.000000:0.000000
2:@0.233832:0.553199:0.239068:0.553199:0.239068:0.543618:0.233832:0.543618:0.000000
 = 100(1 + 0,052)  = 100 × 1,106 704 = 110,670 4.:@0.239021:0.550026:0.590996:0.550026:0.590996:0.533593:0.239021:0.533593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.360537:0.543963:0.365774:0.543963:0.365774:0.534382:0.360537:0.534382:0.000000
Razonando del mismo modo que el precedente, al final del tercer año se tiene::@0.073089:0.578401:0.642652:0.578401:0.642652:0.561967:0.073089:0.561967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.204388:0.603197:0.221470:0.603197:0.221470:0.586791:0.204388:0.586791:0.000000:0.000000
3:@0.221405:0.606369:0.226642:0.606369:0.226642:0.596789:0.221405:0.596789:0.000000
 = :@0.226594:0.603197:0.245480:0.603197:0.245480:0.586763:0.226594:0.586763:0.000000:0.000000:0.000000
VF:@0.245388:0.603197:0.262470:0.603197:0.262470:0.586791:0.245388:0.586791:0.000000:0.000000
2:@0.262408:0.606369:0.267645:0.606369:0.267645:0.596789:0.262408:0.596789:0.000000
 + Int = :@0.267599:0.603197:0.324783:0.603197:0.324783:0.586763:0.267599:0.586763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.324661:0.603197:0.341743:0.603197:0.341743:0.586791:0.324661:0.586791:0.000000:0.000000
2:@0.341676:0.606369:0.346913:0.606369:0.346913:0.596789:0.341676:0.596789:0.000000
 + :@0.346865:0.603197:0.365751:0.603197:0.365751:0.586763:0.346865:0.586763:0.000000:0.000000:0.000000
VF:@0.365659:0.603197:0.382741:0.603197:0.382741:0.586791:0.365659:0.586791:0.000000:0.000000
2:@0.382681:0.606369:0.387918:0.606369:0.387918:0.596789:0.382681:0.596789:0.000000
×r = :@0.387870:0.603197:0.423010:0.603197:0.423010:0.586763:0.387870:0.586763:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.422899:0.603197:0.439981:0.603197:0.439981:0.586791:0.422899:0.586791:0.000000:0.000000
2:@0.439924:0.606369:0.445161:0.606369:0.445161:0.596789:0.439924:0.596789:0.000000
(1 +  ) =  (1 +  ) .:@0.445113:0.603197:0.575048:0.603197:0.575048:0.586763:0.445113:0.586763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.477602:0.603197:0.482885:0.603197:0.482885:0.586791:0.477602:0.586791:0.000000
VP:@0.506391:0.603197:0.524191:0.603197:0.524191:0.586791:0.506391:0.586791:0.000000:0.000000
r:@0.556624:0.603197:0.561907:0.603197:0.561907:0.586791:0.556624:0.586791:0.000000
3:@0.566655:0.597133:0.571892:0.597133:0.571892:0.587552:0.566655:0.587552:0.000000
VF:@0.172077:0.631571:0.189159:0.631571:0.189159:0.615165:0.172077:0.615165:0.000000:0.000000
3:@0.189092:0.634741:0.194329:0.634741:0.194329:0.625160:0.189092:0.625160:0.000000
 = 100(1 + 0,052)  = 100 × 1,164 252 608 = 116,425 260 8.:@0.194283:0.631569:0.607626:0.631569:0.607626:0.615135:0.194283:0.615135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.315799:0.625505:0.321036:0.625505:0.321036:0.615924:0.315799:0.615924:0.000000
Por su parte, en el cuarto año se obtiene::@0.073098:0.659943:0.368326:0.659943:0.368326:0.643509:0.073098:0.643509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.204397:0.684740:0.221479:0.684740:0.221479:0.668334:0.204397:0.668334:0.000000:0.000000
4:@0.221405:0.687911:0.226642:0.687911:0.226642:0.678330:0.221405:0.678330:0.000000
 = :@0.226594:0.684738:0.245480:0.684738:0.245480:0.668305:0.226594:0.668305:0.000000:0.000000:0.000000
VF:@0.245388:0.684738:0.262470:0.684738:0.262470:0.668332:0.245388:0.668332:0.000000:0.000000
3:@0.262408:0.687911:0.267645:0.687911:0.267645:0.678330:0.262408:0.678330:0.000000
 + Int = :@0.267599:0.684738:0.324783:0.684738:0.324783:0.668305:0.267599:0.668305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.324661:0.684738:0.341743:0.684738:0.341743:0.668332:0.324661:0.668332:0.000000:0.000000
3:@0.341676:0.687911:0.346913:0.687911:0.346913:0.678330:0.341676:0.678330:0.000000
 + :@0.346865:0.684738:0.365751:0.684738:0.365751:0.668305:0.346865:0.668305:0.000000:0.000000:0.000000
VF:@0.365659:0.684738:0.382741:0.684738:0.382741:0.668332:0.365659:0.668332:0.000000:0.000000
3:@0.382681:0.687911:0.387918:0.687911:0.387918:0.678330:0.382681:0.678330:0.000000
×r = :@0.387870:0.684738:0.423010:0.684738:0.423010:0.668305:0.387870:0.668305:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.422899:0.684738:0.439981:0.684738:0.439981:0.668332:0.422899:0.668332:0.000000:0.000000
3:@0.439924:0.687911:0.445161:0.687911:0.445161:0.678330:0.439924:0.678330:0.000000
(1 +  ) =  (1 +  ) .:@0.445113:0.684738:0.575048:0.684738:0.575048:0.668305:0.445113:0.668305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.477602:0.684738:0.482885:0.684738:0.482885:0.668332:0.477602:0.668332:0.000000
VP:@0.506391:0.684738:0.524191:0.684738:0.524191:0.668332:0.506391:0.668332:0.000000:0.000000
r:@0.556624:0.684738:0.561907:0.684738:0.561907:0.668332:0.556624:0.668332:0.000000
4:@0.566655:0.678674:0.571892:0.678674:0.571892:0.669094:0.566655:0.669094:0.000000
VF:@0.178501:0.713113:0.195583:0.713113:0.195583:0.696707:0.178501:0.696707:0.000000:0.000000
4:@0.195519:0.716283:0.200756:0.716283:0.200756:0.706702:0.195519:0.706702:0.000000
 = 100(1 + 0,052)  = 100 × 1,124 793 744 = 122,479 344.:@0.200709:0.713110:0.601185:0.713110:0.601185:0.696676:0.200709:0.696676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.322225:0.707046:0.327462:0.707046:0.327462:0.697465:0.322225:0.697465:0.000000
De manera general, para n períodos se obtiene el siguiente resultado::@0.073081:0.741484:0.576096:0.741484:0.576096:0.725051:0.073081:0.725051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.197054:0.766281:0.214136:0.766281:0.214136:0.749875:0.197054:0.749875:0.000000:0.000000
n:@0.214081:0.769452:0.219833:0.769452:0.219833:0.759871:0.214081:0.759871:0.000000
 = :@0.219785:0.766280:0.238671:0.766280:0.238671:0.749846:0.219785:0.749846:0.000000:0.000000:0.000000
VF:@0.238579:0.766280:0.255661:0.766280:0.255661:0.749873:0.238579:0.749873:0.000000:0.000000
n–1:@0.255599:0.769452:0.271868:0.769452:0.271868:0.759871:0.255599:0.759871:0.000000:0.000000:0.000000
 + Int = :@0.271812:0.766280:0.328996:0.766280:0.328996:0.749846:0.271812:0.749846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.328875:0.766280:0.345957:0.766280:0.345957:0.749873:0.328875:0.749873:0.000000:0.000000
n–1:@0.345890:0.769452:0.362159:0.769452:0.362159:0.759871:0.345890:0.759871:0.000000:0.000000:0.000000
(1 +  ) =  (1 +  ) , n = 0, 1, 2, ...:@0.362105:0.766280:0.582492:0.766280:0.582492:0.749846:0.362105:0.749846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.394594:0.766280:0.399877:0.766280:0.399877:0.749873:0.394594:0.749873:0.000000
VP:@0.423383:0.766280:0.441183:0.766280:0.441183:0.749873:0.423383:0.749873:0.000000:0.000000
r:@0.473616:0.766280:0.478899:0.766280:0.478899:0.749873:0.473616:0.749873:0.000000
n:@0.483646:0.760216:0.489399:0.760216:0.489399:0.750635:0.483646:0.750635:0.000000
Nota que esta fórmula define una progresión geométrica de valor constante   razón :@0.073089:0.794654:0.710387:0.794654:0.710387:0.778220:0.073089:0.778220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VP:@0.642978:0.794654:0.660870:0.794654:0.660870:0.778248:0.642978:0.778248:0.000000:0.000000
 :@0.706354:0.794654:0.710385:0.794654:0.710385:0.778220:0.706354:0.778220:0.000000
1    . Además, en esta fórmula se tienen cuatro variables: :@0.073108:0.812308:0.486772:0.812308:0.486772:0.795874:0.073108:0.795874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.085533:0.811753:0.100866:0.811753:0.100866:0.798038:0.085533:0.798038:0.000000
r:@0.104290:0.812308:0.109573:0.812308:0.109573:0.795902:0.104290:0.795902:0.000000
n, r, VP, VF .:@0.486130:0.812308:0.559901:0.812302:0.559901:0.795896:0.486130:0.795902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.551079:0.815474:0.556616:0.815474:0.556616:0.805909:0.551079:0.805909:0.000000
 Para calcular una de :@0.559827:0.812302:0.710432:0.812302:0.710432:0.795868:0.559827:0.795868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estas, se debe disponer de tres datos restantes. Por ejemplo, si se conocen :@0.073084:0.829956:0.647332:0.829956:0.647332:0.813522:0.073084:0.813522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r, n, VF:@0.648385:0.829956:0.697127:0.829956:0.697127:0.813550:0.648385:0.813550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.674337:0.829956:0.678368:0.829956:0.678368:0.813522:0.674337:0.813522:0.000000
n:@0.697283:0.833125:0.703035:0.833125:0.703035:0.823544:0.697283:0.823544:0.000000
, :@0.703138:0.829952:0.710372:0.829952:0.710372:0.813518:0.703138:0.813518:0.000000:0.000000
entonces, de la fórmula anterior se obtiene::@0.073094:0.847606:0.386875:0.847606:0.386875:0.831173:0.073094:0.831173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VP:@0.333134:0.872403:0.350933:0.872403:0.350933:0.855997:0.333134:0.855997:0.000000:0.000000
 =  :@0.350878:0.872403:0.373722:0.872403:0.373722:0.855969:0.350878:0.855969:0.000000:0.000000:0.000000:0.000000
VF:@0.392470:0.864932:0.409920:0.864932:0.409920:0.848526:0.392470:0.848526:0.000000:0.000000
N:@0.409862:0.865582:0.416419:0.865582:0.416419:0.856018:0.409862:0.856018:0.000000
(1 +  ):@0.380332:0.881321:0.423092:0.881321:0.423092:0.864887:0.380332:0.864887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.413004:0.881321:0.418287:0.881321:0.418287:0.864915:0.413004:0.864915:0.000000
n:@0.423020:0.875256:0.428557:0.875256:0.428557:0.865691:0.423020:0.865691:0.000000
  ,:@0.435197:0.872400:0.446315:0.872400:0.446315:0.855966:0.435197:0.855966:0.000000:0.000000:0.000000
que en el medio financiero se conoce como descuento. Por ejemplo,:@0.073089:0.900775:0.571247:0.900775:0.571247:0.884341:0.073089:0.884341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   =  :@0.185742:0.929149:0.230287:0.929149:0.230287:0.912715:0.185742:0.912715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VP:@0.189699:0.929149:0.207499:0.929149:0.207499:0.912743:0.189699:0.912743:0.000000:0.000000
122,48:@0.237143:0.919888:0.284892:0.919888:0.284892:0.903454:0.237143:0.903454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1,052):@0.234180:0.936280:0.282983:0.936280:0.282983:0.919846:0.234180:0.919846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.282868:0.930213:0.287826:0.930213:0.287826:0.920649:0.282868:0.920649:0.000000
  =  :@0.291752:0.929144:0.318553:0.929144:0.318553:0.912710:0.291752:0.912710:0.000000:0.000000:0.000000:0.000000:0.000000
122,48:@0.346511:0.919879:0.394259:0.919879:0.394259:0.903445:0.346511:0.903445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,224 783 744:@0.320299:0.936271:0.420508:0.936271:0.420508:0.919837:0.320299:0.919837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  = 100,000 510 8 ≈ 100.:@0.422201:0.929143:0.593849:0.929143:0.593849:0.912709:0.422201:0.912709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinaria :@0.740294:0.142249:0.863703:0.142249:0.863703:0.126842:0.740294:0.126842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y :@0.740294:0.157378:0.833204:0.157378:0.833204:0.142438:0.740294:0.142438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
finanzas:@0.740294:0.172506:0.793825:0.172506:0.793825:0.157567:0.740294:0.157567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Muchos países de América :@0.741105:0.202801:0.922681:0.202801:0.922681:0.187861:0.741105:0.187861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizan el dólar para el :@0.741105:0.217930:0.894120:0.217930:0.894120:0.202990:0.741105:0.202990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comercio internacional. In-:@0.741105:0.233059:0.918951:0.233059:0.918951:0.218119:0.741105:0.218119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cluso aquellos que tienen :@0.741105:0.248188:0.915623:0.248188:0.915623:0.233248:0.741105:0.233248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus propias monedas na-:@0.741105:0.263317:0.907120:0.263317:0.907120:0.248377:0.741105:0.248377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cionales prefieren realizar :@0.741105:0.278446:0.913379:0.278446:0.913379:0.263506:0.741105:0.263506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transacciones en dólares :@0.741105:0.293575:0.908610:0.293575:0.908610:0.278635:0.741105:0.278635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debido a su estabilidad y :@0.741105:0.308704:0.910184:0.308704:0.910184:0.293764:0.741105:0.293764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aceptación global.:@0.741105:0.323832:0.863445:0.323832:0.863445:0.308893:0.741105:0.308893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actualmente, cada dólar :@0.741105:0.346110:0.907137:0.346110:0.907137:0.331170:0.741105:0.331170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
disponible tiene un valor :@0.741105:0.361239:0.910385:0.361239:0.910385:0.346299:0.741105:0.346299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que va más allá de su cifra :@0.741105:0.376368:0.918049:0.376368:0.918049:0.361428:0.741105:0.361428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nominal. Esto se debe a :@0.741105:0.391497:0.901883:0.391497:0.901883:0.376557:0.741105:0.376557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que el dinero disponible :@0.741105:0.406626:0.907187:0.406626:0.907187:0.391686:0.741105:0.391686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede ser invertido para :@0.741105:0.421755:0.907790:0.421755:0.907790:0.406815:0.741105:0.406815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
generar intereses, lo que :@0.741105:0.436883:0.907907:0.436883:0.907907:0.421944:0.741105:0.421944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permite obtener una canti-:@0.741105:0.452012:0.921363:0.452012:0.921363:0.437073:0.741105:0.437073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dad mayor en el futuro. :@0.741105:0.467141:0.899858:0.467141:0.899858:0.452202:0.741105:0.452202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El dinero que se tiene en :@0.741105:0.482270:0.909113:0.482270:0.909113:0.467330:0.741105:0.467330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el presente se denomina :@0.741105:0.497399:0.909262:0.497399:0.909262:0.482459:0.741105:0.482459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
\valor presente\ (VP). El :@0.741105:0.512528:0.898569:0.512528:0.898569:0.497588:0.741105:0.497588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proceso de convertir este :@0.741105:0.527657:0.913846:0.527657:0.913846:0.512717:0.741105:0.512717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor presente en un valor :@0.741105:0.542786:0.918081:0.542786:0.918081:0.527846:0.741105:0.527846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor en el futuro se co-:@0.741105:0.557915:0.907390:0.557915:0.907390:0.542975:0.741105:0.542975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
noce como \valor futuro\ :@0.741105:0.573044:0.912207:0.573044:0.912207:0.558104:0.741105:0.558104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(VF). Este proceso, que :@0.741105:0.588173:0.894386:0.588173:0.894386:0.573233:0.741105:0.573233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
implica calcular el valor :@0.741105:0.603302:0.899558:0.603302:0.899558:0.588362:0.741105:0.588362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un flujo de caja o una :@0.741105:0.618431:0.909113:0.618431:0.909113:0.603491:0.741105:0.603491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
serie de flujos de caja en :@0.741105:0.633560:0.907591:0.633560:0.907591:0.618620:0.741105:0.618620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el futuro aplicando interés :@0.741105:0.648689:0.919085:0.648689:0.919085:0.633749:0.741105:0.633749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compuesto, se denomina :@0.741105:0.663818:0.914450:0.663818:0.914450:0.648878:0.741105:0.648878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
\composición\.:@0.741105:0.678946:0.838982:0.678946:0.838982:0.664007:0.741105:0.664007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo crees que afecta el :@0.741105:0.812611:0.919436:0.812611:0.919436:0.797671:0.741105:0.797671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor del dinero que tienes :@0.741105:0.827740:0.922264:0.827740:0.922264:0.812800:0.741105:0.812800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hoy en lo que podrás com-:@0.741105:0.842869:0.921262:0.842869:0.921262:0.827929:0.741105:0.827929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
prar o invertir en el futuro?:@0.741105:0.857997:0.917981:0.857997:0.917981:0.843058:0.741105:0.843058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EC. Identifica fenómenos en la física, la ingeniería, la economía u otras ciencias que pueden modelarse mediante progresiones aritméticas y geométricas.:@0.082607:0.971366:0.885586:0.971366:0.885586:0.959415:0.082607:0.959415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000