REVISO EXERCCIOS Unidade 1 seo 3 Prof Renata

REVISÃO EXERCÍCIOS – Unidade 1 – seção 3 Profª. Renata Morgado 1

1) in = ? ir = 8%= 0, 08 ij = 5% = 0, 05 (1+in) = (1+ir) x (1+ij) (1+in) = (1+ 0, 08) x (1+0, 05) (1+in) = (1, 08) x (1, 05) (1+in) = 1, 134 in = 1, 134 – 1 = 0, 134 = 13, 40% = TMA NOMINAL

2) 50 mil 50 mil 2 3 100 mil 0 1 200 mil 4 5

Transformei a TMA real de 4% a. b em 26, 53% a. a Transformei a taxa de inflação de 4% a. m em 60, 10% a. a

in = ? ir = 26, 53%= 0, 2653 ij = 60, 10% = 0, 6010 (1+in) = (1+ir) x (1+ij) (1+in) = (1+ 0, 2653) x (1+0, 6010) (1+in) = (1, 2653) x (1, 6010) (1+in) = 2, 025745 in = 2, 025745 – 1 = 1, 025745 = 102, 57% = TMA NOMINAL

VPL = (200. 000) + 50. 000 + (1+1, 0257)0 (1+1, 0257)1 (1+1, 0257)2 (1+1, 0257)3 + 100. 000 = (1+1, 0257)4 (1+1, 0257) 5 VPL = (200. 000) + 24. 682, 82 + 12. 184, 83+ 6. 015, 12 + 5. 938, 81 + 2. 931, 73 = ( 148. 246, 69)

VPL HP 12 c F CLX 200. 000 CHS G CF 0 50. 000 G CFJ 3 G NJ 100. 000 G CFJ 2 G NJ 102, 57 i F NPV = (148. 246, 66)

3) in = 30% = 0, 30 ir = 18%= 0, 18 ij = ? ? (1+in) = (1+ir) x (1+ij) (1+0, 30) = (1+ 0, 18) x (1+ij) 1, 30 / 1, 08 = (1+ ij) (1+ij) = 1, 101695 ij = 1, 101695 – 1 = 0, 101695 = 10, 16%

4) 100 mil 300 mil 400 mil 0 1 700 mil 250 mil 2 3 4 5 6

Transformei a taxa de inflação de 2% a. b em 12, 61% a. a in = ? ir = 12%= 0, 12 ij = 12, 61% = 0, 1261 (1+in) = (1+ir) x (1+ij) (1+in) = (1+ 0, 12) x (1+0, 1261) (1+in) = (1, 12) x (1, 1261) (1+in) = 1, 261232 in = 1, 261232 – 1 = 0, 261232 = 26, 12% = TMA NOMINAL

VPL = (700. 000) + (150. 000) (1+0, 2612)0 (1+0, 2612)1 + 300. 000 + (1+0, 2612)2 (1+0, 2612)3 + 400. 000 (1+0, 2612)4 (1+0, 2612) 5 (1+0, 2612) 6 VPL = (700. 000) + (118. 934, 34) + 188. 605, 10 + 149, 544, 18 + 158. 097, 20 + 125. 354, 59 + 99. 393, 10 = ( 97. 940, 27)

VPL HP 12 c F CLX 700. 000 CHS G CF 0 150. 000 CHS G CFJ 1 G NJ 300. 000 G CFJ 2 G NJ 400. 000 G CFJ 3 G NJ 26, 12 i F NPV = (97. 940, 31)

5) 200 mil 300 mil 600 mil 0 1 850 mil 200 mil 2 3 4 5 6

Transformei a taxa de inflação de 6% a. T em 26, 24% a. a in = ? ir = 17%= 0, 17 ij = 26, 24% = 0, 2624 (1+in) = (1+ir) x (1+ij) (1+in) = (1+ 0, 17) x (1+0, 2624) (1+in) = (1, 17) x (1, 2624) (1+in) = 1, 4770 in = 1, 4770 – 1 = 0, 4770 = 47, 70% = TMA NOMINAL

VPL = (850. 000) + 0 + 300. 000 + 600. 000 + (1+0, 4770)0 (1+0, 4770)2 (1+0, 4770)3 (1+0, 4770)4 + 600. 000 (1+0, 4770)5 (1+0, 4770) 6 VPL = (850. 000) + 137. 518, 22 + 93. 106, 45 + 126. 075, 10 + 85. 358, 90 + 57. 792, 07 = ( 350. 149, 26)

VPL HP 12 c F CLX 850. 000 CHS G CF 0 0 G CFJ 1 G NJ 300. 000 CHS G CFJ 2 G NJ 600. 000 G CFJ 3 G NJ 47, 70 i F NPV = (350. 149, 27)

6) 150 mil 300 mil 400 mil 0 1 750 mil 300 mil 2 3 4 5 6

Transformei a TMA nominal de 5% a. m em 79, 58% a. a Transformei a taxa de inflação de 1% a. m em 12, 68% a. a

in = 79, 58% = 0, 7958 ir = ? ij = 12, 68% = 0, 1268 (1+in) = (1+ir) x (1+ij) (1+0, 7958) = (1+ ir) x (1+0, 1268) (1, 7958) = (1 + ir) x (1, 1268) 1, 7958 / 1, 1268 = (1 + ir) = 1, 593717 ir = 1, 593717 – 1 = 0, 593717 = 59, 37% = TMA REAL

VPL = (750. 000) + (150. 000) + 300. 000 + (1+0, 5937)0 (1+0, 5937)1 (1+0, 5937)2 (1+0, 5937)3 + 400. 000 6 (1+0, 5937)4 (1+0, 5937) 5 (1 +0, 5937) VPL = (750. 000) + (94. 120, 59) + 118. 115, 81 + 74. 114, 21 + 62. 005, 99 + 38. 906, 94 + 24. 412, 96= VPL = (844. 120, 59) + 317. 555, 91 = (526. 564, 68)

VPL HP 12 c F CLX 750. 000 CHS G CF 0 150. 000 CHS G CFJ 1 G NJ 300. 000 CHS G CFJ 2 G NJ 400. 000 G CFJ 3 G NJ 59, 37 i F NPV = (526. 564, 68)