CASO 5 CASO 11 Datos VALOR PRESENTE: INTERES: VALOR FUTURO: TIEMPO: Formula ? 6% 300.00 1.00 VP = 300.00 ( 1 +0.06) VP = VP = VP = VF ( 1 +i) n 300.00 1.06 VP = 2,000,000.00 1.02 283.02 VP = 2,000,000.00 2.04 VP = 980,446.30 VP = VF ( 1 +i) n Formula ? 0.08 1,700.00 8.00 1,700.00 ( 1 +0.08) 8 VP = 1,700.00 1.08 VP = 2% 2,000,000.00 36.00 2,000,000.00 ( 1 +0.08) 8 VP = VP = Formula ? VP = 1 CASO 6 Datos VALOR PRESENTE: INTERES: VALOR FUTURO: TIEMPO: Datos VALOR PRESENTE: INTERES: VALOR FUTURO: TIEMPO: CASO 12 VP = VF ( 1 +i) n Datos VALOR PRESENTE: INTERES: VALOR FUTURO: TIEMPO: Formula 5,000,000.00 1.50% 10,000,000.00 ???? N = 1,700.00 1.85 VF = VP ( 1 +i) n LOG (VF/VP) / LOG ( 1+i ) N = 2.00 / 1.0150 log natural N = 0.69315 / N = 46.56 log natural 0.01489 918.46 meses CASO 7 CASO 13 Datos VALOR PRESENTE: INTERES: VALOR FUTURO: TIEMPO: Formula 1,350.00 14% ??? 3.00 VP ( 1 +i) n VF = 3.00 VF = 1,350.00 ( 1.14 ) VF = 1,350.00 ( 1.48 ) VF = 2,000.08 Datos VALOR PRESENTE: INTERES: VALOR FUTURO: TIEMPO: Formula 2,000,000.00 ??????? 70,000,000.00 15.00 VF = n i= 15.00 CASO 8 i= Datos VALOR PRESENTE: INTERES: VALOR FUTURO: (VF/VP) ‐1 ‐1.00 35.00 Formula 4,100.00 15% ??? VF = VP ( 1 +i) n i= 1.27 ‐1.00 VP ( 1 +i) n TIEMPO: i= 4.00 26.75% ANUAL 4.00 VF = 4,100.00 ( 1.15 ) VF = 4,100.00 ( 1.75 ) VF = 7,170.93 180.00 i= CASO 9 Datos VALOR PRESENTE: INTERES: VALOR FUTURO: TIEMPO: 35.00 ‐1.00 i= 1.02 i= 1.99% ‐1.00 MENSUAL Formula 5,000.00 10% ??? 6.00 60.00 VP ( 1 +i) n VF = 6.00 VF = 5,000.00 ( 1.10 ) VF = 5,000.00 ( 1.77 ) VF = 8,857.81 i= 35.00 ‐1.00 i= 1.06 i= 6.10% ‐1.00 TRIMESTRAL 30.00 i= ‐1.00 35.00 CASO 10 Datos VALOR PRESENTE: INTERES: VALOR FUTURO: TIEMPO: i= 1.13 i= 12.58% ‐1.00 Formula 1,000,000.00 5% ??? 8.00 VP ( 1 +i) VF = 8.00 VF = 1,000,000.00 ( 1.05 ) VF = 1,000,000.00 ( 1.48 ) VF = 1,477,455.44 n SEMESTRAL