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BAB 5 (9-16).docx - BAB 5 FV 170.000 log PV 40.000 log 4,25...

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BAB 5 9. t = log FV PV log ( 1 + r ) = log 170.000 40.000 log ( 1 + 0,053 ) = log 4,25 log 1,053 = 0,6284 0,0224 = 28,05 tahun / 28 tahun 10. PV = ? Faktor diskonto = 1 ( 1 + r ) t = 1 ( 1 + 0,074 ) 20 = 1 ( 1,074 ) 20 = 1 4,1695 = 0,2398 Jadi jumlah yang harus diinvestasikan= $170.000 x 0,2398 = $40.766 11. PV = ? Faktor diskonto = 1 ( 1 + r ) t = 1 ( 1 + 0,1 ) 80 = 1 ( 1,1 ) 80 = 1 2.048,4 = 4,8819 Jadi jumlah yang harus diinvestasikan= $1.000.000 x 4,8819 = $4.881.900 12. FV = ? FV = PV (1+r) t FV = 50 (1+0,045) 105 FV = 50 (1,045) 105 FV = 50 . 101,6741 FV = 5.083,705 13. Persentase kenaikan = $ 1.259.850 $ 150 = 8.399 atau 9,22 pertahun $1.260.000 = $150 (1+r) t $1.260.000 = $150 (1+r) 112 $ 1.260.000 $ 150 = (1+r) 112 8.400 (1/112) = 1+r 8.400 (8,9286) = 1+r 1,0922 = 1+r 0,0922 = r 9,22 % = r FV = $1.260.000 (1+0,0922) 33 FV = $1.260.000 . 7,6024 FV = $9.579.024 14. Tingkat imbal hasil yang diperoleh= r = 72 waktu = 72 113 = 0,6372 = 63,72 Jadi tingkat imbal hasil yang diperoleh pada saat menjual koin emas tersebut adalah 63,72%. 15. FV = PV (1+r) t $10.311.500 = $12.377.500 (1+r) 4
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$10.311.500/$12.377.500 = (1+r) 4
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