UNEG MatemticaFinanciera Lic. Elmes Prez RENTAS CONSTANTES Inmediatas Vencidas Val orFut uro F=R _iin1 ) 1 ( _ Val orPresent e P=R _iin ) 1 ( 1_ Renta R =F i|(1 + i)n - 1] Renta R =P i|1 - (1 + i)-n] Plazo n = log[1 + F iRlog(1 + i)n = -log[1 - P iRlog(1 + i) Inmediatas Anticipadas Val orFut uro Fa =R _iin1 ) 1 ( _ (1 + i) Val orPresent e Pa =R _iin ) 1 ( 1_ (1 + i) Renta R =Fu i|(1 + i)n - 1](1 + i) Renta R =Pu i|1 - (1 + i)-n](1 + i) Plazo n = log_1 +Fu iR(1 + i)]log(1 + i) n = -log_1 -Pu iR(1 + i)]log(1 + i) Diferidas Val orFut uro Fd =F =R_iin1 ) 1 ( _ Val orPresent e Pd= P (1+i )- k

Pd= R_iin ) 1 ( 1_ (1 + i)-k Renta R =F i|(1 + i)n - 1] Renta R =P i (1 + i)k|1 - (1 + i)-n] Pl azo n = log[1 + F iRlog(1 + i) n = -log_1 - Pd i (1 + i)kR]log(1 + i)