125:@0.918240:0.966765:0.943652:0.966765:0.943652:0.950778:0.918240:0.950778:0.000000:0.000000:0.000000
Aplicación de progresiones en finanzas:@0.108233:0.097328:0.418975:0.097328:0.418975:0.079645:0.108233:0.079645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valor futuro:@0.108233:0.115176:0.202534:0.115176:0.202534:0.097735:0.108233:0.097735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dispongo de $ 100 que deposito en una cuenta de una entidad finan-:@0.108233:0.132140:0.595700:0.132140:0.595700:0.115643:0.108233:0.115643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciera. Esta entidad paga el 5,2 % de interés cada año. :@0.108233:0.149491:0.479719:0.149491:0.479719:0.132994:0.108233:0.132994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuánto tengo al final del primero, segundo, …, n-ésimo período? El :@0.108233:0.182689:0.599911:0.182689:0.599911:0.166191:0.108233:0.166191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
período puede ser anual, semestral, quinquenal, etc. :@0.108233:0.200040:0.478084:0.200040:0.478084:0.183542:0.108233:0.183542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notaciones: :@0.108233:0.233238:0.197277:0.233238:0.197277:0.216740:0.108233:0.216740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VP:@0.197316:0.233353:0.216966:0.233353:0.216966:0.216884:0.197316:0.216884:0.000000:0.000000
 designa el valor presente o capital; :@0.216966:0.233238:0.467239:0.233238:0.467239:0.216740:0.216966:0.216740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VP:@0.467278:0.233353:0.486928:0.233353:0.486928:0.216884:0.467278:0.216884:0.000000:0.000000
 = $ 100, la tasa :@0.486911:0.233238:0.599919:0.233238:0.599919:0.216740:0.486911:0.216740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de interés anual que paga la entidad financiera   es   = 5,2 % = 0,052; :@0.108233:0.250588:0.599996:0.250588:0.599996:0.234091:0.108233:0.234091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.444217:0.250704:0.450247:0.250704:0.450247:0.234235:0.444217:0.234235:0.000000
r:@0.473674:0.250704:0.479704:0.250704:0.479704:0.234235:0.473674:0.234235:0.000000
el interés que se gana durante el año es  . Para este ejemplo,:@0.108233:0.267939:0.541796:0.267939:0.541796:0.251441:0.108233:0.251441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Int:@0.388656:0.268055:0.407594:0.268055:0.407594:0.251586:0.388656:0.251586:0.000000:0.000000:0.000000
Int VP r:@0.235364:0.292534:0.318167:0.292534:0.318167:0.276065:0.235364:0.276065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.254302:0.292418:0.273394:0.292418:0.273394:0.275920:0.254302:0.275920:0.000000:0.000000:0.000000
 ×   = 100 × 0,052 = 0,52.:@0.293045:0.292418:0.468667:0.292418:0.468667:0.275920:0.293045:0.275920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El número de períodos se designa con  ; el valor futuro al final de   :@0.108252:0.321842:0.599940:0.321842:0.599940:0.305344:0.108252:0.305344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.388138:0.321958:0.397501:0.321958:0.397501:0.305489:0.388138:0.305489:0.000000
n:@0.586435:0.321958:0.595798:0.321958:0.595798:0.305489:0.586435:0.305489:0.000000
períodos es :@0.108272:0.339193:0.193711:0.339193:0.193711:0.322695:0.108272:0.322695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.193711:0.339308:0.211975:0.339308:0.211975:0.322840:0.193711:0.322840:0.000000:0.000000
n:@0.211627:0.342524:0.217086:0.342524:0.217086:0.332923:0.211627:0.332923:0.000000
. En este ejemplo, en el primer año, n = 1, se tiene:@0.217087:0.339180:0.564455:0.339180:0.564455:0.322683:0.217087:0.322683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.211519:0.363775:0.229783:0.363775:0.229783:0.347306:0.211519:0.347306:0.000000:0.000000
1:@0.229783:0.366937:0.234737:0.366937:0.234737:0.357318:0.229783:0.357318:0.000000
 = :@0.234735:0.363659:0.253827:0.363659:0.253827:0.347161:0.234735:0.347161:0.000000:0.000000:0.000000
VP Int VP Vp r VP:@0.253827:0.363774:0.444207:0.363774:0.444207:0.347306:0.253827:0.347306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 +   = :@0.273478:0.363659:0.330599:0.363659:0.330599:0.347161:0.273478:0.347161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 + :@0.350250:0.363659:0.369342:0.363659:0.369342:0.347161:0.350250:0.347161:0.000000:0.000000:0.000000
×  = :@0.388626:0.363659:0.424556:0.363659:0.424556:0.347161:0.388626:0.347161:0.000000:0.000000:0.000000:0.000000:0.000000
(1 +  ).:@0.444207:0.363659:0.492485:0.363659:0.492485:0.347161:0.444207:0.347161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.477747:0.363774:0.483777:0.363774:0.483777:0.347306:0.477747:0.347306:0.000000
Con   = 0,052, :@0.108240:0.393083:0.211309:0.393083:0.211309:0.376585:0.108240:0.376585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.142551:0.393198:0.148581:0.393198:0.148581:0.376729:0.142551:0.376729:0.000000
VP:@0.211309:0.393198:0.230959:0.393198:0.230959:0.376729:0.211309:0.376729:0.000000:0.000000
 = 100, se obtiene :@0.230959:0.393083:0.359881:0.393083:0.359881:0.376585:0.230959:0.376585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.359881:0.393198:0.378144:0.393198:0.378144:0.376729:0.359881:0.376729:0.000000:0.000000
1:@0.378134:0.396357:0.383087:0.396357:0.383087:0.386739:0.378134:0.386739:0.000000
 = 105,2.:@0.383088:0.393079:0.441674:0.393079:0.441674:0.376582:0.383088:0.376582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interesa calcular el valor futuro :@0.108231:0.426277:0.330143:0.426277:0.330143:0.409780:0.108231:0.409780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.330143:0.426393:0.348407:0.426393:0.348407:0.409924:0.330143:0.409924:0.000000:0.000000
n:@0.348102:0.429618:0.353561:0.429618:0.353561:0.420016:0.348102:0.420016:0.000000
 al cabo de   períodos. :@0.353560:0.426272:0.518182:0.426272:0.518182:0.409775:0.353560:0.409775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.434742:0.426388:0.444105:0.426388:0.444105:0.409919:0.434742:0.409919:0.000000
Se comienza el segundo año con la cantidad de $ 105,2, gana interés :@0.108236:0.443623:0.594796:0.443623:0.594796:0.427125:0.108236:0.427125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de   = 5,2 % = 0,052. Al final del segundo año, se tiene::@0.108236:0.460974:0.490592:0.460974:0.490592:0.444476:0.108236:0.444476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.130237:0.461089:0.136267:0.461089:0.136267:0.444621:0.130237:0.444621:0.000000
VF:@0.153394:0.485568:0.171658:0.485568:0.171658:0.469100:0.153394:0.469100:0.000000:0.000000
2:@0.171646:0.488730:0.176599:0.488730:0.176599:0.479112:0.171646:0.479112:0.000000
 = :@0.176600:0.485452:0.195691:0.485452:0.195691:0.468954:0.176600:0.468954:0.000000:0.000000:0.000000
VF:@0.195691:0.485568:0.213955:0.485568:0.213955:0.469099:0.195691:0.469099:0.000000:0.000000
1:@0.213954:0.488730:0.218907:0.488730:0.218907:0.479112:0.213954:0.479112:0.000000
 +   = :@0.218908:0.485452:0.276029:0.485452:0.276029:0.468954:0.218908:0.468954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Int VF:@0.238000:0.485568:0.294293:0.485568:0.294293:0.469099:0.238000:0.469099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.294290:0.488730:0.299243:0.488730:0.299243:0.479112:0.294290:0.479112:0.000000
 + :@0.299244:0.485452:0.318336:0.485452:0.318336:0.468954:0.299244:0.468954:0.000000:0.000000:0.000000
VF:@0.318336:0.485568:0.336599:0.485568:0.336599:0.469099:0.318336:0.469099:0.000000:0.000000
1:@0.336598:0.488730:0.341552:0.488730:0.341552:0.479112:0.336598:0.479112:0.000000
 ×   = :@0.341552:0.485452:0.385766:0.485452:0.385766:0.468954:0.341552:0.468954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r VF:@0.360644:0.485568:0.404029:0.485568:0.404029:0.469099:0.360644:0.469099:0.000000:0.000000:0.000000:0.000000
1:@0.404028:0.488730:0.408982:0.488730:0.408982:0.479112:0.404028:0.479112:0.000000
(1 +  ) = :@0.408980:0.485452:0.473596:0.485452:0.473596:0.468954:0.408980:0.468954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.442521:0.485568:0.448551:0.485568:0.448551:0.469099:0.442521:0.469099:0.000000
VP:@0.473596:0.485568:0.493247:0.485568:0.493247:0.469099:0.473596:0.469099:0.000000:0.000000
 (1 +  ) .:@0.493247:0.485452:0.550618:0.485452:0.550618:0.468954:0.493247:0.468954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.530930:0.485568:0.536960:0.485568:0.536960:0.469099:0.530930:0.469099:0.000000
2:@0.542911:0.479100:0.547864:0.479100:0.547864:0.469482:0.542911:0.469482:0.000000
Así,:@0.108230:0.514876:0.133197:0.514876:0.133197:0.498378:0.108230:0.498378:0.000000:0.000000:0.000000:0.000000
VF:@0.168376:0.532342:0.186639:0.532342:0.186639:0.515874:0.168376:0.515874:0.000000:0.000000
2:@0.186648:0.535502:0.191601:0.535502:0.191601:0.525883:0.186648:0.525883:0.000000
 = 100(1 + 0,052)  = 100 × 1,106 704 = 110,670 4.:@0.191601:0.532224:0.535621:0.532224:0.535621:0.515726:0.191601:0.515726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.312411:0.525872:0.317364:0.525872:0.317364:0.516254:0.312411:0.516254:0.000000
Razonando del mismo modo que el precedente, al final del tercer año :@0.108241:0.561648:0.599851:0.561648:0.599851:0.545150:0.108241:0.545150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se tiene::@0.108241:0.578998:0.165264:0.578998:0.165264:0.562501:0.108241:0.562501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.159602:0.603593:0.177865:0.603593:0.177865:0.587124:0.159602:0.587124:0.000000:0.000000
3:@0.177859:0.606752:0.182813:0.606752:0.182813:0.597133:0.177859:0.597133:0.000000
 = :@0.182811:0.603475:0.201903:0.603475:0.201903:0.586977:0.182811:0.586977:0.000000:0.000000:0.000000
VF:@0.201903:0.603591:0.220167:0.603591:0.220167:0.587122:0.201903:0.587122:0.000000:0.000000
2:@0.220168:0.606752:0.225121:0.606752:0.225121:0.597133:0.220168:0.597133:0.000000
 +   = :@0.225120:0.603475:0.282241:0.603475:0.282241:0.586977:0.225120:0.586977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Int VF:@0.244211:0.603591:0.300504:0.603591:0.300504:0.587122:0.244211:0.587122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.300504:0.606752:0.305457:0.606752:0.305457:0.597133:0.300504:0.597133:0.000000
 + :@0.305457:0.603475:0.324549:0.603475:0.324549:0.586977:0.305457:0.586977:0.000000:0.000000:0.000000
VF r VF:@0.324549:0.603591:0.401959:0.603591:0.401959:0.587122:0.324549:0.587122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.342812:0.606752:0.347765:0.606752:0.347765:0.597133:0.342812:0.597133:0.000000
×  = :@0.347766:0.603475:0.383695:0.603475:0.383695:0.586977:0.347766:0.586977:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.401958:0.606752:0.406911:0.606752:0.406911:0.597133:0.401958:0.597133:0.000000
(1 +  ) = :@0.406910:0.603475:0.471526:0.603475:0.471526:0.586977:0.406910:0.586977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.440451:0.603591:0.446481:0.603591:0.446481:0.587122:0.440451:0.587122:0.000000
VP:@0.471526:0.603591:0.491176:0.603591:0.491176:0.587122:0.471526:0.587122:0.000000:0.000000
(1 +  ) .:@0.491176:0.603475:0.544406:0.603475:0.544406:0.586977:0.491176:0.586977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.524717:0.603591:0.530747:0.603591:0.530747:0.587122:0.524717:0.587122:0.000000
3:@0.536697:0.597122:0.541651:0.597122:0.541651:0.587504:0.536697:0.587504:0.000000
VF:@0.138757:0.620941:0.157020:0.620941:0.157020:0.604473:0.138757:0.604473:0.000000:0.000000
3:@0.157018:0.624102:0.161971:0.624102:0.161971:0.614484:0.157018:0.614484:0.000000
 = 100(1 + 0,052)  = 100 × 1,164 252 608 = 116,425 260 8.:@0.161971:0.620826:0.565251:0.620826:0.565251:0.604328:0.161971:0.604328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.282781:0.614473:0.287734:0.614473:0.287734:0.604855:0.282781:0.604855:0.000000
Por su parte, en el cuarto año se obtiene::@0.108241:0.650250:0.395985:0.650250:0.395985:0.633752:0.108241:0.633752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.159602:0.674844:0.177865:0.674844:0.177865:0.658376:0.159602:0.658376:0.000000:0.000000
4:@0.177859:0.678002:0.182813:0.678002:0.182813:0.668383:0.177859:0.668383:0.000000
 = :@0.182811:0.674725:0.201903:0.674725:0.201903:0.658227:0.182811:0.658227:0.000000:0.000000:0.000000
VF:@0.201903:0.674841:0.220167:0.674841:0.220167:0.658372:0.201903:0.658372:0.000000:0.000000
3:@0.220168:0.678002:0.225121:0.678002:0.225121:0.668383:0.220168:0.668383:0.000000
 +   = :@0.225120:0.674725:0.282241:0.674725:0.282241:0.658227:0.225120:0.658227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Int VF:@0.244211:0.674841:0.300504:0.674841:0.300504:0.658372:0.244211:0.658372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.300504:0.678002:0.305457:0.678002:0.305457:0.668383:0.300504:0.668383:0.000000
 + :@0.305457:0.674725:0.324549:0.674725:0.324549:0.658227:0.305457:0.658227:0.000000:0.000000:0.000000
VF r VF:@0.324549:0.674841:0.401959:0.674841:0.401959:0.658372:0.324549:0.658372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.342812:0.678002:0.347765:0.678002:0.347765:0.668383:0.342812:0.668383:0.000000
×  = :@0.347766:0.674725:0.383695:0.674725:0.383695:0.658227:0.347766:0.658227:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.401958:0.678002:0.406911:0.678002:0.406911:0.668383:0.401958:0.668383:0.000000
(1 +  ) = :@0.406910:0.674725:0.471526:0.674725:0.471526:0.658227:0.406910:0.658227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.440451:0.674841:0.446481:0.674841:0.446481:0.658372:0.440451:0.658372:0.000000
VP:@0.471526:0.674841:0.491176:0.674841:0.491176:0.658372:0.471526:0.658372:0.000000:0.000000
(1 +  ) .:@0.491176:0.674725:0.544406:0.674725:0.544406:0.658227:0.491176:0.658227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.524717:0.674841:0.530747:0.674841:0.530747:0.658372:0.524717:0.658372:0.000000
4:@0.536697:0.668372:0.541651:0.668372:0.541651:0.658754:0.536697:0.658754:0.000000
VF:@0.145076:0.692191:0.163339:0.692191:0.163339:0.675723:0.145076:0.675723:0.000000:0.000000
4:@0.163337:0.695352:0.168290:0.695352:0.168290:0.685734:0.163337:0.685734:0.000000
 = 100(1 + 0,052)  = 100 × 1,124 793 744 = 122,479 344.:@0.168290:0.692076:0.558932:0.692076:0.558932:0.675578:0.168290:0.675578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.289100:0.685723:0.294053:0.685723:0.294053:0.676105:0.289100:0.676105:0.000000
De manera general, para   períodos se obtiene el siguiente resultado::@0.108241:0.721500:0.594471:0.721500:0.594471:0.705002:0.108241:0.705002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.284265:0.721615:0.293628:0.721615:0.293628:0.705147:0.284265:0.705147:0.000000
VF:@0.147484:0.746094:0.165747:0.746094:0.165747:0.729626:0.147484:0.729626:0.000000:0.000000
n:@0.165737:0.749253:0.171353:0.749253:0.171353:0.739635:0.165737:0.739635:0.000000
 = :@0.171353:0.745975:0.190445:0.745975:0.190445:0.729477:0.171353:0.729477:0.000000:0.000000:0.000000
VF:@0.190445:0.746091:0.208708:0.746091:0.208708:0.729622:0.190445:0.729622:0.000000:0.000000
n–1:@0.208709:0.749253:0.225399:0.749253:0.225399:0.739635:0.208709:0.739635:0.000000:0.000000:0.000000
 +   = :@0.225399:0.745975:0.282521:0.745975:0.282521:0.729477:0.225399:0.729477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Int VF:@0.244491:0.746091:0.300784:0.746091:0.300784:0.729622:0.244491:0.729622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n–1:@0.300782:0.749253:0.317472:0.749253:0.317472:0.739635:0.300782:0.739635:0.000000:0.000000:0.000000
(1 +  ) = :@0.317472:0.745975:0.382088:0.745975:0.382088:0.729477:0.317472:0.729477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.351013:0.746091:0.357043:0.746091:0.357043:0.729622:0.351013:0.729622:0.000000
VP:@0.382088:0.746091:0.401738:0.746091:0.401738:0.729622:0.382088:0.729622:0.000000:0.000000
(1 +  ) , n = 0, 1, 2, … .:@0.401738:0.745975:0.556530:0.745975:0.556530:0.729477:0.401738:0.729477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.435279:0.746091:0.441309:0.746091:0.441309:0.729622:0.435279:0.729622:0.000000
n:@0.447260:0.739623:0.452876:0.739623:0.452876:0.730005:0.447260:0.730005:0.000000
Nota que esta fórmula define una progresión geométrica de valor :@0.108227:0.775399:0.599851:0.775399:0.599851:0.758901:0.108227:0.758901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante :@0.108227:0.792750:0.182822:0.792750:0.182822:0.776252:0.108227:0.776252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VP:@0.183689:0.792865:0.203340:0.792865:0.203340:0.776397:0.183689:0.776397:0.000000:0.000000
 razón 1 +  . Además, en esta fórmula se tienen cuatro :@0.203340:0.792750:0.599817:0.792750:0.599817:0.776252:0.203340:0.776252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.282809:0.792865:0.288839:0.792865:0.288839:0.776397:0.282809:0.776397:0.000000
variables: :@0.108227:0.810100:0.176330:0.810100:0.176330:0.793603:0.108227:0.793603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n, r, VP, VF:@0.176754:0.810216:0.249116:0.810216:0.249116:0.793747:0.176754:0.793747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.248814:0.813443:0.254273:0.813443:0.254273:0.803841:0.248814:0.803841:0.000000
. Para calcular una de estas, se debe disponer de :@0.254272:0.810097:0.599906:0.810097:0.599906:0.793600:0.254272:0.793600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tres datos restantes. Por ejemplo, si se conocen  ,  , :@0.108241:0.827448:0.475090:0.827448:0.475090:0.810950:0.108241:0.810950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r n VF:@0.445707:0.827564:0.493585:0.827564:0.493585:0.811095:0.445707:0.811095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.493252:0.830793:0.498710:0.830793:0.498710:0.821192:0.493252:0.821192:0.000000
, entonces, de :@0.498710:0.827448:0.599910:0.827448:0.599910:0.810950:0.498710:0.810950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la fórmula anterior se obtiene::@0.108241:0.844799:0.320331:0.844799:0.320331:0.828301:0.108241:0.828301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VP:@0.298120:0.869393:0.317770:0.869393:0.317770:0.852925:0.298120:0.852925:0.000000:0.000000
 =                 ,:@0.317770:0.869278:0.405890:0.869278:0.405890:0.852780:0.317770:0.852780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que en el medio financiero se conoce como ‘descuento’. Por ejemplo,:@0.108241:0.898702:0.595729:0.898702:0.595729:0.882204:0.108241:0.882204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.154902:0.926738:0.159044:0.926738:0.159044:0.910240:0.154902:0.910240:0.000000
VP:@0.159044:0.926853:0.178694:0.926853:0.178694:0.910385:0.159044:0.910385:0.000000:0.000000
 =                  =                           = 100,000 510 8 ≈ 100.:@0.178694:0.926738:0.549127:0.926738:0.549127:0.910240:0.178694:0.910240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF:@0.357433:0.862264:0.375889:0.862264:0.375889:0.845795:0.357433:0.845795:0.000000:0.000000
N:@0.376042:0.862979:0.382983:0.862979:0.382983:0.853378:0.376042:0.853378:0.000000
(1 +  ):@0.344506:0.878493:0.390415:0.878493:0.390415:0.861996:0.344506:0.861996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.378335:0.878609:0.384365:0.878609:0.384365:0.862140:0.378335:0.862140:0.000000
n:@0.390509:0.872209:0.395968:0.872209:0.395968:0.862608:0.390509:0.862608:0.000000
122,48:@0.207597:0.919469:0.253795:0.919469:0.253795:0.902971:0.207597:0.902971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1,052):@0.203435:0.935807:0.253236:0.935807:0.253236:0.919310:0.203435:0.919310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.253337:0.929529:0.258043:0.929529:0.258043:0.919927:0.253337:0.919927:0.000000
122,48:@0.312793:0.919469:0.358991:0.919469:0.358991:0.902971:0.312793:0.902971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,224 783 744:@0.286939:0.935807:0.384865:0.935807:0.384865:0.919310:0.286939:0.919310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.685849:0.227893:0.832634:0.227893:0.832634:0.212420:0.685849:0.212420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y Finanzas:@0.686087:0.256943:0.846488:0.256943:0.846488:0.241470:0.686087:0.241470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la actualidad, cada dólar :@0.639544:0.272362:0.819662:0.272362:0.819662:0.257299:0.639544:0.257299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del que se dispone es más que :@0.639544:0.288204:0.839681:0.288204:0.839681:0.273141:0.639544:0.273141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un dólar. Efectivamente, si se :@0.639544:0.304046:0.828388:0.304046:0.828388:0.288983:0.639544:0.288983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dispone de una cantidad de :@0.639544:0.319888:0.824534:0.319888:0.824534:0.304825:0.639544:0.304825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dinero, esta se puede invertir, :@0.639544:0.335730:0.831342:0.335730:0.831342:0.320667:0.639544:0.320667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ganar interés y, así, es posible :@0.639544:0.351572:0.828687:0.351572:0.828687:0.336509:0.639544:0.336509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtener una cantidad mayor de :@0.639544:0.367414:0.849426:0.367414:0.849426:0.352351:0.639544:0.352351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dinero en el futuro. La cantidad :@0.639544:0.383256:0.845891:0.383256:0.845891:0.368193:0.639544:0.368193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de dinero de la que se dispone :@0.639544:0.399098:0.841071:0.399098:0.841071:0.384035:0.639544:0.384035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
actualmente se conoce como :@0.639544:0.414940:0.835599:0.414940:0.835599:0.399877:0.639544:0.399877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
‘valor presente’, y se nota :@0.639544:0.430782:0.804343:0.430782:0.804343:0.415719:0.639544:0.415719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VP:@0.804343:0.430888:0.822285:0.430888:0.822285:0.415851:0.804343:0.415851:0.000000:0.000000
. :@0.822286:0.430782:0.828584:0.430782:0.828584:0.415719:0.822286:0.415719:0.000000:0.000000
El proceso de convertir valores :@0.639544:0.446624:0.841210:0.446624:0.841210:0.431561:0.639544:0.431561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
actuales en valores futuros se :@0.639544:0.462466:0.831412:0.462466:0.831412:0.447403:0.639544:0.447403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conoce como ‘valor futuro’, :@0.639544:0.478308:0.820279:0.478308:0.820279:0.463245:0.639544:0.463245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y se nota :@0.639544:0.494150:0.701795:0.494150:0.701795:0.479087:0.639544:0.479087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
VF.:@0.701795:0.494256:0.720018:0.494256:0.720018:0.479219:0.701795:0.479219:0.000000:0.000000:0.000000
 Al proceso de :@0.720018:0.494150:0.817623:0.494150:0.817623:0.479087:0.720018:0.479087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar el valor de un flujo :@0.639544:0.509992:0.840262:0.509992:0.840262:0.494929:0.639544:0.494929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de caja o de sucesiones de flujo :@0.639544:0.525834:0.846803:0.525834:0.846803:0.510771:0.639544:0.510771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de caja, algunas veces en el :@0.639544:0.541676:0.816779:0.541676:0.816779:0.526613:0.639544:0.526613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
futuro, cuando se aplica interés :@0.639544:0.557518:0.844571:0.557518:0.844571:0.542455:0.639544:0.542455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compuesto, se lo conoce como :@0.639544:0.573360:0.846751:0.573360:0.846751:0.558297:0.639544:0.558297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
‘composición’. :@0.639544:0.589202:0.733735:0.589202:0.733735:0.574139:0.639544:0.574139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga responde:@0.639549:0.767264:0.767407:0.767264:0.767407:0.751791:0.639549:0.751791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.687181:0.766841:0.701886:0.766841:0.701886:0.751778:0.687181:0.751778:0.000000:0.000000:0.000000
: ¿qué rela-:@0.767411:0.766841:0.835238:0.766841:0.835238:0.751778:0.767411:0.751778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción existe entre las matemáti-:@0.639549:0.782683:0.836961:0.782683:0.836961:0.767620:0.639549:0.767620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cas y las finanzas?:@0.639549:0.798525:0.752653:0.798525:0.752653:0.783462:0.639549:0.783462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 381867490:@0.872350:0.743992:0.872350:0.675818:0.860881:0.675818:0.860881:0.743992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000