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Description
ACT. 4
4.1 Fórmula: VF = VP (1 + r)n VF= 500(1+0.06)2 VF=500(1.06)2 VF=500(1.1236) VF=561.8
4.2 VP = VF/ (1+r)n VP=1000/(1+0.06)5 VP=1000/(1.06)5 VP= 1000(1.30035127) VP=1,300.35
4.3 VP =? VP = VF 1 VF = $1, 552.90 (1 + i)n i (1) = 12% i (2) = 6% VP1 = 1, 552.901 n = 10 años (1 + 0.12)10 VP1 = $499.99 VP2 = 1, 552.90 1 (1 + 0.06)10 VP2 = $867.13
4.4 VP = $200 VF = VP (1 + r)n VF= 400 Log VF = Log VP + n Log (1 + i) i1 = 7% Log VF – Log VP = n Log (1 + i) i2 = 18% n = Log VF – Log VP n1 =? Log (1 + i) n2 =? n1 = Log 400 – Log 200 Log (1.07) n1 = Log (2.60206) – Log (2.30103) = 0.30103 = 10.25 Log (1.07) 0.02938n1 = 10 años n2 = Log 400 – Log 200 Log (1.18) n2 = Log (2.60206) – Log (2.30103) = 0.30103 = 4.19 Log (1.18) 0.07188 n2 = 4 años
4.5 Tasa de rendimiento = ((Valor final de la inversión – Valor inicial de la inversión) / Valor inicial de la inversión) x 100. TC= 6, 000,000-2, 000,000/2, 000,000*100= 200 VP = 2,000 x 1/(1+0.14)6 = $911.17 Como $1,000 hoy vale más que $2,000 en 6 años, la decisión es tomar los $1,000 hoy.
4.6 VP = $12, 000, 000 VF = VP (1 + i) n VF = 6, 000, 000 (1 + i) n = VF i =? VPn = 5 años (1 + i) = n VF VP (1 + i) = VF. 1/n VP i = VF. 1/n - 1 x 100 VP i = 12, 000, 000 1/5 - 1 x 100 6, 000, 000 i = 12, 000, 000 0.20 - 1 x 100 6, 000, 000i = 14.87%
