Matemática financeira 6 tabelas financeiras de alto nível - by prof. shibata - ufmt

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Tabelas Contagem de Dias 1 Ano Civil de 365 Dias Di do mˆ es Jn Fev Mr Abr Mi Jn Jl Ago Set Ot Nov Dez Di do mˆ es 1 1 32 60 91 121 152 182 213 244 274 305 335 1 2 2 33 61 92 122 153 183 214 245 275 306 336 2 3 3 34 62 93 123 154 184 215 246 276 307 337 3 4 4 35 63 94 124 155 185 216 247 277 308 338 4 5 5 36 64 95 125 156 186 217 248 278 309 339 5 6 6 37 65 96 126 157 187 218 249 279 310 340 6 7 7 38 66 97 127 158 188 219 250 280 311 341 7 8 8 39 67 98 128 159 189 220 251 281 312 342 8 9 9 40 68 99 129 160 190 221 252 282 313 343 9 10 10 41 69 100 130 161 191 222 253 283 314 344 10 11 11 42 70 101 131 162 192 223 254 284 315 345 11 12 12 43 71 102 132 163 193 224 255 285 316 346 12 13 13 44 72 103 133 164 194 225 256 286 317 347 13 14 14 45 73 104 134 165 195 226 257 287 318 348 14 15 15 46 74 105 135 166 196 227 258 288 319 349 15 16 16 47 75 106 136 167 197 228 259 289 320 350 16 17 17 48 76 107 137 168 198 229 260 290 321 351 17 18 18 49 77 108 138 169 199 230 261 291 322 352 18 19 19 50 78 109 139 170 200 231 262 292 323 353 19 20 20 51 79 110 140 171 201 232 263 293 324 354 20 21 21 52 80 111 141 172 202 233 264 294 325 355 21 22 22 53 81 112 142 173 203 234 265 295 326 356 22 23 23 54 82 113 143 174 204 235 266 296 327 357 23 24 24 55 83 114 144 175 205 236 267 297 328 358 24 25 25 56 84 115 145 176 206 237 268 298 329 359 25 26 26 57 85 116 146 177 207 238 269 299 330 360 26 27 27 58 86 117 147 178 208 239 270 300 331 361 27 28 28 59 87 118 148 179 209 240 271 301 332 362 28 29 29 88 119 149 180 210 241 272 302 333 363 29 30 30 89 120 150 181 211 242 273 303 334 364 30 31 31 90 151 212 243 304 365 31

Transcript of Matemática financeira 6 tabelas financeiras de alto nível - by prof. shibata - ufmt

Page 1: Matemática financeira   6 tabelas financeiras de alto nível - by prof. shibata - ufmt

Tabelas Contagem de Dias 1

Ano Civil de 365 DiasDi do mes Jn Fev Mr Abr Mi Jn Jl Ago Set Ot Nov Dez Di do mes

1 1 32 60 91 121 152 182 213 244 274 305 335 12 2 33 61 92 122 153 183 214 245 275 306 336 23 3 34 62 93 123 154 184 215 246 276 307 337 34 4 35 63 94 124 155 185 216 247 277 308 338 45 5 36 64 95 125 156 186 217 248 278 309 339 56 6 37 65 96 126 157 187 218 249 279 310 340 67 7 38 66 97 127 158 188 219 250 280 311 341 78 8 39 67 98 128 159 189 220 251 281 312 342 89 9 40 68 99 129 160 190 221 252 282 313 343 910 10 41 69 100 130 161 191 222 253 283 314 344 1011 11 42 70 101 131 162 192 223 254 284 315 345 1112 12 43 71 102 132 163 193 224 255 285 316 346 1213 13 44 72 103 133 164 194 225 256 286 317 347 1314 14 45 73 104 134 165 195 226 257 287 318 348 1415 15 46 74 105 135 166 196 227 258 288 319 349 1516 16 47 75 106 136 167 197 228 259 289 320 350 1617 17 48 76 107 137 168 198 229 260 290 321 351 1718 18 49 77 108 138 169 199 230 261 291 322 352 1819 19 50 78 109 139 170 200 231 262 292 323 353 1920 20 51 79 110 140 171 201 232 263 293 324 354 2021 21 52 80 111 141 172 202 233 264 294 325 355 2122 22 53 81 112 142 173 203 234 265 295 326 356 2223 23 54 82 113 143 174 204 235 266 296 327 357 2324 24 55 83 114 144 175 205 236 267 297 328 358 2425 25 56 84 115 145 176 206 237 268 298 329 359 2526 26 57 85 116 146 177 207 238 269 299 330 360 2627 27 58 86 117 147 178 208 239 270 300 331 361 2728 28 59 87 118 148 179 209 240 271 301 332 362 2829 29 88 119 149 180 210 241 272 302 333 363 2930 30 89 120 150 181 211 242 273 303 334 364 3031 31 90 151 212 243 304 365 31

Page 2: Matemática financeira   6 tabelas financeiras de alto nível - by prof. shibata - ufmt

2 Tabelas Contagem de Dias

Ano Civil de 366 Dias: ano BissextoDi do mes Jn Fev Mr Abr Mi Jn Jl Ago Set Ot Nov Dez Di do mes

1 1 32 61 92 122 153 183 214 245 275 306 336 12 2 33 62 93 123 154 184 215 246 276 307 337 23 3 34 63 94 124 155 185 216 247 277 308 338 34 4 35 64 95 125 156 186 217 248 278 309 339 45 5 36 65 96 126 157 187 218 249 279 310 340 56 6 37 66 97 127 158 188 219 250 280 311 341 67 7 38 67 98 128 159 189 220 251 281 312 342 78 8 39 68 99 129 160 190 221 252 282 313 343 89 9 40 69 100 130 161 191 222 253 283 314 344 910 10 41 70 101 131 162 192 223 254 284 315 345 1011 11 42 71 102 132 163 193 224 255 285 316 346 1112 12 43 72 103 133 164 194 225 256 286 317 347 1213 13 44 73 104 134 165 195 226 257 287 318 348 1314 14 45 74 105 135 166 196 227 258 288 319 349 1415 15 46 75 106 136 167 197 228 259 289 320 350 1516 16 47 76 107 137 168 198 229 260 290 321 351 1617 17 48 77 108 138 169 199 230 261 291 322 352 1718 18 49 78 109 139 170 200 231 262 292 323 353 1819 19 50 79 110 140 171 201 232 263 293 324 354 1920 20 51 80 111 141 172 202 233 264 294 325 355 2021 21 52 81 112 142 173 203 234 265 295 326 356 2122 22 53 82 113 143 174 204 235 266 296 327 357 2223 23 54 83 114 144 175 205 236 267 297 328 358 2324 24 55 84 115 145 176 206 237 268 298 329 359 2425 25 56 85 116 146 177 207 238 269 299 330 360 2526 26 57 86 117 147 178 208 239 270 300 331 361 2627 27 58 87 118 148 179 209 240 271 301 332 362 2728 28 59 88 119 149 180 210 241 272 302 333 363 2829 29 60 89 120 150 181 211 242 273 303 334 364 2930 30 90 121 151 182 212 243 274 304 335 365 3031 31 91 152 213 244 305 366 31

Page 3: Matemática financeira   6 tabelas financeiras de alto nível - by prof. shibata - ufmt

Tabelas Financeiras 1

Fator de CAPITALIZAÇÃO COMPOSTA añn = (1+ )n

n

... 0.50% 1.00% 1.50% 2.00% 2.50% 3.00% 3.50% 4.00% 4.50% 5.00% 5.50% 6.00% 6.50% 7.00% 7.50% 8.00% 8.50% 9.00%

01 1.005000 1.010000 1.015000 1.020000 1.025000 1.030000 1.035000 1.040000 1.045000 1.050000 1.055000 1.060000 1.065000 1.070000 1.075000 1.080000 1.085000 1.09000002 1.010025 1.020100 1.030225 1.040400 1.050625 1.060900 1.071220 1.081600 1.092025 1.102500 1.113025 1.123600 1.134225 1.144900 1.155625 1.166400 1.177225 1.18810003 1.015075 1.030301 1.045678 1.061208 1.076891 1.092727 1.108718 1.124864 1.141166 1.157625 1.174241 1.191016 1.207950 1.225043 1.242297 1.259712 1.277289 1.29502904 1.020151 1.040604 1.061364 1.082432 1.103813 1.125509 1.147523 1.169859 1.192519 1.215506 1.238825 1.262477 1.286466 1.310796 1.335469 1.360489 1.385859 1.41158205 1.025251 1.051010 1.077284 1.104081 1.131408 1.159274 1.187686 1.216653 1.246182 1.276282 1.306960 1.338226 1.370087 1.402552 1.435629 1.469328 1.503657 1.53862406 1.030378 1.061520 1.093443 1.126162 1.159693 1.194052 1.229255 1.265319 1.302260 1.340096 1.378843 1.418519 1.459142 1.500730 1.543302 1.586874 1.631468 1.67710007 1.035529 1.072135 1.109845 1.148686 1.188686 1.229874 1.272279 1.315932 1.360862 1.407100 1.454679 1.503630 1.553987 1.605781 1.659049 1.713824 1.770142 1.82803908 1.040707 1.082857 1.126493 1.171659 1.218403 1.266770 1.316809 1.368569 1.422101 1.477455 1.534687 1.593848 1.654996 1.718186 1.783478 1.850930 1.920604 1.99256309 1.045911 1.093685 1.143390 1.195093 1.248863 1.304773 1.362897 1.423312 1.486095 1.551328 1.619094 1.689479 1.762570 1.838459 1.917239 1.999005 2.083856 2.17189310 1.051140 1.104622 1.160541 1.218994 1.280085 1.343916 1.410599 1.480244 1.552969 1.628895 1.708144 1.790848 1.877137 1.967151 2.061032 2.158925 2.260983 2.36736411 1.056396 1.115668 1.177949 1.243374 1.312087 1.384234 1.459970 1.539454 1.622853 1.710339 1.802092 1.898299 1.999151 2.104852 2.215609 2.331639 2.453167 2.58042612 1.061678 1.126825 1.195618 1.268242 1.344889 1.425761 1.511069 1.601032 1.695881 1.795856 1.901207 2.012196 2.129096 2.252192 2.381780 2.518170 2.661686 2.81266513 1.066986 1.138093 1.213552 1.293607 1.378511 1.468534 1.563956 1.665074 1.772196 1.885649 2.005774 2.132928 2.267487 2.409845 2.560413 2.719624 2.887930 3.06580514 1.072321 1.149474 1.231756 1.319479 1.412974 1.512590 1.618695 1.731676 1.851945 1.979932 2.116091 2.260904 2.414874 2.578534 2.752444 2.937194 3.133404 3.34172715 1.077683 1.160969 1.250232 1.345868 1.448298 1.557967 1.675349 1.800944 1.935282 2.078928 2.232476 2.396558 2.571841 2.759032 2.958877 3.172169 3.399743 3.64248216 1.083071 1.172579 1.268986 1.372786 1.484506 1.604706 1.733986 1.872981 2.022370 2.182875 2.355263 2.540352 2.739011 2.952164 3.180793 3.425943 3.688721 3.97030617 1.088487 1.184304 1.288020 1.400241 1.521618 1.652848 1.794676 1.947900 2.113377 2.292018 2.484802 2.692773 2.917046 3.158815 3.419353 3.700018 4.002262 4.32763318 1.093929 1.196147 1.307341 1.428246 1.559659 1.702433 1.857489 2.025817 2.208479 2.406619 2.621466 2.854339 3.106654 3.379932 3.675804 3.996019 4.342455 4.71712019 1.099399 1.208109 1.326951 1.456811 1.598650 1.753506 1.922501 2.106849 2.307860 2.526950 2.765647 3.025600 3.308587 3.616528 3.951489 4.315701 4.711563 5.14166120 1.104896 1.220190 1.346855 1.485947 1.638616 1.806111 1.989789 2.191123 2.411714 2.653298 2.917757 3.207135 3.523645 3.869684 4.247851 4.660957 5.112046 5.60441121 1.110420 1.232392 1.367058 1.515666 1.679582 1.860295 2.059431 2.278768 2.520241 2.785963 3.078234 3.399564 3.752682 4.140562 4.566440 5.033834 5.546570 6.10880822 1.115972 1.244716 1.387564 1.545980 1.721571 1.916103 2.131512 2.369919 2.633652 2.925261 3.247537 3.603537 3.996606 4.430402 4.908923 5.436540 6.018028 6.65860023 1.121552 1.257163 1.408377 1.576899 1.764611 1.973587 2.206114 2.464716 2.752166 3.071524 3.426152 3.819750 4.256386 4.740530 5.277092 5.871464 6.529561 7.25787424 1.127160 1.269735 1.429503 1.608437 1.808726 2.032794 2.283328 2.563304 2.876014 3.225100 3.614590 4.048935 4.533051 5.072367 5.672874 6.341181 7.084574 7.91108325 1.132796 1.282432 1.450945 1.640606 1.853944 2.093778 2.363245 2.665836 3.005434 3.386355 3.813392 4.291871 4.827699 5.427433 6.098340 6.848475 7.686762 8.62308126 1.138460 1.295256 1.472710 1.673418 1.900293 2.156591 2.445959 2.772470 3.140679 3.555673 4.023129 4.549383 5.141500 5.807353 6.555715 7.396353 8.340137 9.39915827 1.144152 1.308209 1.494800 1.706886 1.947800 2.221289 2.531567 2.883369 3.282010 3.733456 4.244400 4.822346 5.475697 6.213868 7.047394 7.988061 9.049049 10.2450828 1.149873 1.321291 1.517222 1.741024 1.996495 2.287928 2.620172 2.998703 3.429700 3.920129 4.477843 5.111687 5.831617 6.648838 7.575948 8.627106 9.818218 11.1671429 1.155622 1.334504 1.539981 1.775845 2.046407 2.356566 2.711878 3.118651 3.584036 4.116136 4.724124 5.418388 6.210672 7.114257 8.144144 9.317275 10.65277 12.1721830 1.161400 1.347849 1.563080 1.811362 2.097568 2.427262 2.806794 3.243398 3.745318 4.321942 4.983951 5.743491 6.614366 7.612255 8.754955 10.06266 11.55825 13.2676831 1.167207 1.361327 1.586526 1.847589 2.150007 2.500080 2.905031 3.373133 3.913857 4.538039 5.258069 6.088101 7.044300 8.145113 9.411577 10.86767 12.54070 14.4617732 1.173043 1.374941 1.610324 1.884541 2.203757 2.575083 3.006708 3.508059 4.089981 4.764941 5.547262 6.453387 7.502179 8.715271 10.11745 11.73708 13.60666 15.7633333 1.178908 1.388690 1.634479 1.922231 2.258851 2.652335 3.111942 3.648381 4.274030 5.003189 5.852362 6.840590 7.989821 9.325340 10.87625 12.67605 14.76323 17.1820334 1.184803 1.402577 1.658996 1.960676 2.315322 2.731905 3.220860 3.794316 4.466362 5.253348 6.174242 7.251025 8.509159 9.978114 11.69197 13.69013 16.01810 18.7284135 1.190727 1.416603 1.683881 1.999890 2.373205 2.813862 3.333590 3.946089 4.667348 5.516015 6.513825 7.686087 9.062255 10.67658 12.56887 14.78534 17.37964 20.4139736 1.196681 1.430769 1.709140 2.039887 2.432535 2.898278 3.450266 4.103933 4.877378 5.791816 6.872085 8.147252 9.651301 11.42394 13.51154 15.96817 18.85691 22.25123

n. . . i 9.50% 10.00% 10.50% 11.00% 11.50% 12.00% 12.50% 13.00% 13.50% 14.00% 14.50% 15.00% 15.50% 16.00% 16.50% 17.00% 17.50% 18.00%

01 1.095000 1.100000 1.105000 1.110000 1.115000 1.120000 1.125000 1.130000 1.135000 1.140000 1.145000 1.150000 1.155000 1.160000 1.165000 1.170000 1.175000 1.18000002 1.199025 1.210000 1.221025 1.232100 1.243225 1.254400 1.265625 1.276900 1.288225 1.299600 1.311025 1.322500 1.334025 1.345600 1.357225 1.368900 1.380625 1.39240003 1.312932 1.331000 1.349233 1.367631 1.386196 1.404928 1.423828 1.442897 1.462135 1.481544 1.501124 1.520875 1.540799 1.560896 1.581167 1.601613 1.622234 1.64303204 1.437661 1.464100 1.490902 1.518070 1.545608 1.573519 1.601807 1.630474 1.659524 1.688960 1.718787 1.749006 1.779623 1.810639 1.842060 1.873887 1.906125 1.93877805 1.574239 1.610510 1.647447 1.685058 1.723353 1.762342 1.802032 1.842435 1.883559 1.925415 1.968011 2.011357 2.055464 2.100342 2.146000 2.192448 2.239697 2.28775806 1.723791 1.771561 1.820429 1.870415 1.921539 1.973823 2.027287 2.081952 2.137840 2.194973 2.253370 2.313061 2.374061 2.436396 2.500089 2.565164 2.631644 2.69955407 1.887552 1.948717 2.011574 2.076160 2.142516 2.210681 2.280697 2.352605 2.426448 2.502269 2.580111 2.660020 2.742041 2.826220 2.912604 3.001242 3.092182 3.18547408 2.066869 2.143589 2.222789 2.304538 2.388905 2.475963 2.565785 2.658444 2.754019 2.852586 2.954227 3.059023 3.167057 3.278415 3.393184 3.511453 3.633314 3.75885909 2.263222 2.357948 2.456182 2.558037 2.663629 2.773079 2.886508 3.004042 3.125811 3.251949 3.382590 3.517876 3.657951 3.802961 3.953059 4.108400 4.269144 4.43545410 2.478228 2.593742 2.714081 2.839421 2.969947 3.105848 3.247321 3.394567 3.547796 3.707221 3.873066 4.045558 4.224933 4.411435 4.605314 4.806828 5.016244 5.23383611 2.713659 2.853117 2.999059 3.151757 3.311491 3.478550 3.653236 3.835861 4.026748 4.226232 4.434660 4.652391 4.879798 5.117265 5.365191 5.623989 5.894087 6.17592612 2.971457 3.138428 3.313961 3.498451 3.692312 3.895976 4.109891 4.334523 4.570359 4.817905 5.077686 5.350250 5.636166 5.936027 6.250447 6.580067 6.925552 7.28759313 3.253745 3.452271 3.661926 3.883280 4.116928 4.363493 4.623627 4.898011 5.187358 5.492411 5.813950 6.152788 6.509772 6.885791 7.281771 7.698679 8.137524 8.59935914 3.562851 3.797498 4.046429 4.310441 4.590375 4.887112 5.201580 5.534753 5.887651 6.261349 6.656973 7.075706 7.518787 7.987518 8.483263 9.007454 9.561590 10.1472415 3.901322 4.177248 4.471304 4.784589 5.118268 5.473566 5.851778 6.254270 6.682484 7.137938 7.622234 8.137062 8.684199 9.265521 9.883002 10.53872 11.23487 11.9737516 4.271948 4.594973 4.940791 5.310894 5.706869 6.130394 6.583250 7.067326 7.584619 8.137249 8.727458 9.357621 10.03025 10.74800 11.51370 12.33030 13.20097 14.1290217 4.677783 5.054470 5.459574 5.895093 6.363159 6.866041 7.406156 7.986078 8.608543 9.276464 9.992940 10.76126 11.58494 12.46768 13.41346 14.42646 15.51114 16.6722518 5.122172 5.559917 6.032829 6.543553 7.094922 7.689966 8.331926 9.024268 9.770696 10.57517 11.44192 12.37545 13.38060 14.46251 15.62668 16.87895 18.22559 19.6732519 5.608778 6.115909 6.666276 7.263344 7.910838 8.612762 9.373417 10.19742 11.08974 12.05569 13.10099 14.23177 15.45460 16.77652 18.20508 19.74838 21.41507 23.2144420 6.141612 6.727500 7.366235 8.062312 8.820584 9.646293 10.54509 11.52309 12.58686 13.74349 15.00064 16.36654 17.85006 19.46076 21.20890 23.10560 25.16271 27.3930321 6.725065 7.400250 8.139690 8.949166 9.834951 10.80385 11.86323 13.02109 14.28608 15.66758 17.17573 18.82152 20.61682 22.57448 24.70839 27.03355 29.56618 32.3237822 7.363946 8.140275 8.994357 9.933574 10.96597 12.10031 13.34613 14.71383 16.21470 17.86104 19.66621 21.64475 23.81243 26.18640 28.78527 31.62925 34.74026 38.1420623 8.063521 8.954302 9.938764 11.02627 12.22706 13.55235 15.01440 16.62663 18.40369 20.36158 22.51781 24.89146 27.50335 30.37622 33.53484 37.00623 40.81981 45.0076324 8.829556 9.849733 10.98233 12.23916 13.63317 15.17863 16.89120 18.78809 20.88818 23.21221 25.78290 28.62518 31.76637 35.23642 39.06809 43.29729 47.96327 53.1090125 9.668364 10.83471 12.13548 13.58546 15.20098 17.00006 19.00260 21.23054 23.70809 26.46192 29.52141 32.91895 36.69016 40.87424 45.51433 50.65783 56.35684 62.6686326 10.58686 11.91818 13.40971 15.07986 16.94910 19.04007 21.37793 23.99051 26.90868 30.16658 33.80202 37.85680 42.37713 47.41412 53.02419 59.26966 66.21929 73.9489827 11.59261 13.10999 14.81772 16.73865 18.89824 21.32488 24.05017 27.10928 30.54130 34.38991 38.70331 43.53531 48.94559 55.00038 61.77318 69.34550 77.80767 87.2598028 12.69391 14.42099 16.37359 18.57990 21.07154 23.88387 27.05644 30.63349 34.66443 39.20449 44.31529 50.06561 56.53216 63.80044 71.96576 81.13423 91.42401 102.966629 13.89983 15.86309 18.09281 20.62369 23.49477 26.74993 30.43849 34.61584 39.34413 44.69312 50.74101 57.57545 65.29464 74.00851 83.84011 94.92705 107.4232 121.500530 15.22031 17.44940 19.99256 22.89230 26.19667 29.95992 34.24330 39.11590 44.65559 50.95016 58.09846 66.21177 75.41531 85.84988 97.67373 111.0647 126.2223 143.3706

Page 4: Matemática financeira   6 tabelas financeiras de alto nível - by prof. shibata - ufmt

2 Tabelas Financeiras

Fator de CAPITALIZAÇÃO COMPOSTA añn = (1+ )n

n. . . i 18.50% 19.00% 19.50% 20.00% 20.50% 21.00% 21.50% 22.00% 22.50% 23.00% 23.50% 24.00% 24.50% 25.00% 25.50% 26.00% 26.50% 27.00%

01 1.185000 1.190000 1.195000 1.200000 1.205000 1.210000 1.215000 1.220000 1.225000 1.230000 1.235000 1.240000 1.245000 1.250000 1.255000 1.260000 1.265000 1.27000002 1.404225 1.416100 1.428025 1.440000 1.452025 1.464100 1.476225 1.488400 1.500625 1.512900 1.525225 1.537600 1.550025 1.562500 1.575025 1.587600 1.600225 1.61290003 1.664007 1.685159 1.706490 1.728000 1.749690 1.771561 1.793613 1.815848 1.838266 1.860867 1.883653 1.906624 1.929781 1.953125 1.976656 2.000376 2.024285 2.04838304 1.971848 2.005339 2.039255 2.073600 2.108377 2.143589 2.179240 2.215335 2.251875 2.288866 2.326311 2.364214 2.402578 2.441406 2.480704 2.520474 2.560720 2.60144605 2.336640 2.386354 2.436910 2.488320 2.540594 2.593742 2.647777 2.702708 2.758547 2.815306 2.872994 2.931625 2.991209 3.051758 3.113283 3.175797 3.239311 3.30383706 2.768918 2.839761 2.912108 2.985984 3.061416 3.138428 3.217040 3.297304 3.379221 3.462826 3.548148 3.635215 3.724055 3.814697 3.907170 4.001504 4.097728 4.19587307 3.281168 3.379315 3.479969 3.583181 3.689006 3.797498 3.908714 4.022711 4.139545 4.259276 4.381963 4.507667 4.636449 4.768372 4.903499 5.041895 5.183626 5.32875908 3.888184 4.021385 4.158563 4.299817 4.445252 4.594973 4.749088 4.907707 5.070943 5.238909 5.411724 5.589507 5.772379 5.960464 6.153891 6.352788 6.557287 6.76752309 4.607498 4.785449 4.969482 5.159780 5.356529 5.559917 5.770142 5.987403 6.211905 6.443859 6.683479 6.930988 7.186611 7.450581 7.723133 8.004513 8.294968 8.59475510 5.459885 5.694684 5.938531 6.191736 6.454617 6.727500 7.010723 7.304631 7.609584 7.925946 8.254097 8.594426 8.947331 9.313226 9.692532 10.08569 10.49313 10.9153411 6.469964 6.776674 7.096545 7.430084 7.777813 8.140275 8.518028 8.911650 9.321740 9.748914 10.19381 10.65709 11.13943 11.64153 12.16413 12.70796 13.27382 13.8624812 7.666907 8.064242 8.480371 8.916100 9.372265 9.849733 10.34940 10.87221 11.41913 11.99116 12.58936 13.21479 13.86859 14.55192 15.26598 16.01204 16.79138 17.6053513 9.085285 9.596448 10.13404 10.69932 11.29358 11.91818 12.57453 13.26410 13.98844 14.74913 15.54785 16.38634 17.26639 18.18989 19.15881 20.17516 21.24109 22.3587914 10.76606 11.41977 12.11018 12.83918 13.60876 14.42099 15.27805 16.18200 17.13583 18.14143 19.20160 20.31906 21.49666 22.73737 24.04430 25.42071 26.86998 28.3956715 12.75778 13.58953 14.47167 15.40702 16.39856 17.44940 18.56283 19.74229 20.99140 22.31396 23.71398 25.19563 26.76334 28.42171 30.17560 32.03009 33.99053 36.0625016 15.11797 16.17154 17.29364 18.48843 19.76026 21.11378 22.55384 24.08559 25.71446 27.44617 29.28676 31.24259 33.32036 35.52714 37.87038 40.35792 42.99802 45.7993717 17.91480 19.24413 20.66590 22.18611 23.81112 25.54767 27.40291 29.38442 31.50021 33.75879 36.16915 38.74081 41.48384 44.40892 47.52732 50.85097 54.39249 58.1652018 21.22904 22.90052 24.69575 26.62333 28.69240 30.91268 33.29454 35.84899 38.58776 41.52331 44.66890 48.03860 51.64738 55.51115 59.64679 64.07223 68.80650 73.8698119 25.15641 27.25162 29.51143 31.94800 34.57434 37.40434 40.45286 43.73577 47.27001 51.07368 55.16609 59.56786 64.30099 69.38894 74.85672 80.73100 87.04022 93.8146620 29.81035 32.42942 35.26615 38.33760 41.66208 45.25926 49.15023 53.35764 57.90576 62.82062 68.13012 73.86415 80.05474 86.73617 93.94518 101.7211 110.1059 119.144621 35.32526 38.59101 42.14305 46.00512 50.20281 54.76370 59.71753 65.09632 70.93456 77.26936 84.14070 91.59155 99.66815 108.4202 117.9012 128.1685 139.2839 151.313722 41.86043 45.92331 50.36095 55.20614 60.49438 66.26408 72.55680 79.41751 86.89483 95.04132 103.9138 113.5735 124.0868 135.5253 147.9660 161.4924 176.1942 192.168323 49.60461 54.64873 60.18134 66.24737 72.89573 80.17953 88.15651 96.88936 106.4462 116.9008 128.3335 140.8312 154.4880 169.4066 185.6973 203.4804 222.8856 244.053824 58.78147 65.03199 71.91670 79.49685 87.83935 97.01723 107.1102 118.2050 130.3966 143.7880 158.4919 174.6306 192.3377 211.7582 233.0502 256.3853 281.9503 309.948325 69.65604 77.38807 85.94045 95.39622 105.8464 117.3909 130.1388 144.2101 159.7358 176.8593 195.7375 216.5420 239.4604 264.6978 292.4700 323.0454 356.6672 393.634426 82.54240 92.09181 102.6988 114.4755 127.5449 142.0429 158.1187 175.9364 195.6763 217.5369 241.7358 268.5121 298.1283 330.8722 367.0598 407.0373 451.1840 499.915727 97.81275 109.5893 122.7251 137.3706 153.6910 171.8719 192.1142 214.6424 239.7035 267.5704 298.5437 332.9550 371.1697 413.5903 460.6601 512.8670 570.7477 634.892928 115.9081 130.4112 146.6565 164.8447 185.1984 207.9651 233.4188 261.8637 293.6368 329.1115 368.7014 412.8642 462.1062 516.9879 578.1284 646.2124 721.9959 806.314029 137.3511 155.1893 175.2545 197.8136 223.1641 251.6377 283.6038 319.4737 359.7051 404.8072 455.3463 511.9516 575.3223 646.2349 725.5512 814.2276 913.3248 1024.01930 162.7611 184.6753 209.4292 237.3763 268.9128 304.4816 344.5786 389.7579 440.6387 497.9129 562.3526 634.8199 716.2762 807.7936 910.5667 1025.927 1155.356 1300.50431 192.8719 219.7636 250.2679 284.8516 324.0399 368.4228 418.6630 475.5046 539.7824 612.4328 694.5055 787.1767 891.7639 1009.742 1142.761 1292.668 1461.525 1651.64032 228.5531 261.5187 299.0701 341.8219 390.4680 445.7916 508.6756 580.1156 661.2335 753.2924 857.7143 976.0991 1110.246 1262.177 1434.165 1628.761 1848.829 2097.58333 270.8355 311.2073 357.3887 410.1863 470.5140 539.4078 618.0408 707.7411 810.0110 926.5496 1059.277 1210.363 1382.256 1577.722 1799.878 2052.239 2338.769 2663.93034 320.9400 370.3366 427.0796 492.2235 566.9694 652.6834 750.9196 863.4441 992.2635 1139.656 1308.207 1500.850 1720.909 1972.152 2258.846 2585.821 2958.543 3383.19135 380.3140 440.7006 510.3601 590.6682 683.1981 789.7470 912.3673 1053.402 1215.523 1401.777 1615.636 1861.054 2142.532 2465.190 2834.852 3258.135 3742.557 4296.65336 450.6720 524.4337 609.8803 708.8019 823.2537 955.5938 1108.526 1285.150 1489.015 1724.186 1995.310 2307.707 2667.452 3081.488 3557.739 4105.250 4734.334 5456.749

n. . . i 27.50% 28.00% 28.50% 29.00% 29.50% 30.00% 30.50% 31.00% 31.50% 32.00% 32.50% 33.00% 33.50% 34.00% 34.50% 35.00% 35.50% 36.00%

01 1.275000 1.280000 1.285000 1.290000 1.295000 1.300000 1.305000 1.310000 1.315000 1.320000 1.325000 1.330000 1.335000 1.340000 1.345000 1.350000 1.355000 1.36000002 1.625625 1.638400 1.651225 1.664100 1.677025 1.690000 1.703025 1.716100 1.729225 1.742400 1.755625 1.768900 1.782225 1.795600 1.809025 1.822500 1.836025 1.84960003 2.072672 2.097152 2.121824 2.146689 2.171747 2.197000 2.222448 2.248091 2.273931 2.299968 2.326203 2.352637 2.379270 2.406104 2.433130 2.460375 2.487814 2.51545604 2.642657 2.684355 2.726544 2.769229 2.812413 2.856100 2.900294 2.944999 2.990219 3.035958 3.082219 3.129007 3.176326 3.224179 3.272571 3.321506 3.370988 3.42102005 3.369387 3.435974 3.503609 3.572305 3.642075 3.712930 3.784884 3.857949 3.932138 4.007464 4.083940 4.161580 4.240395 4.320400 4.401609 4.484033 4.567688 4.65258706 4.295969 4.398047 4.502138 4.608274 4.716487 4.826809 4.939273 5.053913 5.170762 5.289853 5.411221 5.534901 5.660928 5.789336 5.920164 6.053445 6.189218 6.32751907 5.477360 5.629500 5.785247 5.944673 6.107850 6.274852 6.445752 6.620626 6.799552 6.982606 7.169868 7.361418 7.557338 7.757711 7.962620 8.172151 8.386390 8.60542608 6.983634 7.205759 7.434042 7.668628 7.909666 8.157307 8.411706 8.673020 8.941410 9.217040 9.500075 9.790686 10.08905 10.39533 10.70972 11.03240 11.36356 11.7033809 8.904134 9.223372 9.552744 9.892530 10.24302 10.60450 10.97728 11.36166 11.75795 12.16649 12.58760 13.02161 13.46888 13.92975 14.40458 14.89375 15.39762 15.9166010 11.35277 11.80592 12.27528 12.76136 13.26471 13.78585 14.32535 14.88377 15.46171 16.05977 16.67857 17.31874 17.98095 18.66586 19.37416 20.10656 20.86378 21.6465711 14.47478 15.11157 15.77373 16.46216 17.17780 17.92160 18.69458 19.49774 20.33215 21.19890 22.09910 23.03393 24.00457 25.01225 26.05824 27.14385 28.27042 29.4393312 18.45535 19.34281 20.26924 21.23619 22.24525 23.29809 24.39642 25.54204 26.73678 27.98254 29.28131 30.63513 32.04610 33.51642 35.04834 36.64420 38.30642 40.0375013 23.53057 24.75880 26.04598 27.39468 28.80759 30.28751 31.83733 33.46007 35.15886 36.93696 38.79774 40.74472 42.78154 44.91200 47.14001 49.46967 51.90520 54.4509914 30.00147 31.69127 33.46908 35.33914 37.30583 39.37376 41.54772 43.83269 46.23390 48.75678 51.40700 54.19048 57.11336 60.18208 63.40332 66.78405 70.33154 74.0533515 38.25188 40.56482 43.00777 45.58749 48.31106 51.18589 54.21977 57.42083 60.79758 64.35895 68.11428 72.07333 76.24634 80.64398 85.27746 90.15847 95.29924 100.712616 48.77115 51.92297 55.26498 58.80786 62.56282 66.54166 70.75680 75.22128 79.94882 84.95382 90.25142 95.85753 101.7889 108.0629 114.6982 121.7139 129.1305 136.969117 62.18321 66.46140 71.01550 75.86214 81.01885 86.50416 92.33762 98.53988 105.1327 112.1390 119.5831 127.4905 135.8881 144.8043 154.2691 164.3138 174.9718 186.277918 79.28359 85.07059 91.25492 97.86216 104.9194 112.4554 120.5006 129.0872 138.2495 148.0235 158.4477 169.5624 181.4107 194.0378 207.4919 221.8236 237.0868 253.338019 101.0866 108.8904 117.2626 126.2422 135.8706 146.1920 157.2533 169.1043 181.7981 195.3911 209.9431 225.5180 242.1832 260.0107 279.0766 299.4619 321.2526 344.539720 128.8854 139.3797 150.6824 162.8524 175.9525 190.0496 205.2155 221.5266 239.0645 257.9162 278.1747 299.9389 323.3146 348.4143 375.3580 404.2736 435.2972 468.574021 164.3289 178.4060 193.6269 210.0796 227.8584 247.0645 267.8063 290.1999 314.3698 340.4494 368.5814 398.9188 431.6250 466.8752 504.8565 545.7693 589.8277 637.260622 209.5193 228.3596 248.8106 271.0027 295.0767 321.1839 349.4872 380.1618 413.3963 449.3932 488.3704 530.5620 576.2194 625.6127 679.0320 736.7886 799.2166 866.674423 267.1371 292.3003 319.7216 349.5935 382.1243 417.5391 456.0808 498.0120 543.6161 593.1990 647.0908 705.6474 769.2528 838.3210 913.2981 994.6646 1082.938 1178.67724 340.5998 374.1444 410.8422 450.9756 494.8510 542.8008 595.1854 652.3957 714.8552 783.0227 857.3953 938.5110 1026.953 1123.350 1228.386 1342.797 1467.382 1603.00125 434.2648 478.9049 527.9322 581.7585 640.8320 705.6410 776.7170 854.6384 940.0346 1033.590 1136.049 1248.220 1370.982 1505.289 1652.179 1812.776 1988.302 2180.08126 553.6876 612.9982 678.3929 750.4685 829.8775 917.3333 1013.616 1119.576 1236.145 1364.339 1505.265 1660.132 1830.261 2017.088 2222.181 2447.248 2694.149 2964.91127 705.9517 784.6377 871.7349 968.1044 1074.691 1192.533 1322.768 1466.645 1625.531 1800.927 1994.476 2207.976 2443.398 2702.897 2988.833 3303.785 3650.572 4032.27928 900.0884 1004.336 1120.179 1248.855 1391.725 1550.293 1726.213 1921.305 2137.574 2377.224 2642.680 2936.608 3261.936 3621.882 4019.981 4460.109 4946.526 5483.89929 1147.613 1285.550 1439.431 1611.022 1802.284 2015.381 2252.708 2516.909 2810.909 3137.935 3501.551 3905.688 4354.685 4853.323 5406.874 6021.148 6702.542 7458.10230 1463.206 1645.505 1849.668 2078.219 2333.958 2619.996 2939.784 3297.151 3696.346 4142.075 4639.555 5194.566 5813.504 6503.452 7272.245 8128.550 9081.945 10143.02

Page 5: Matemática financeira   6 tabelas financeiras de alto nível - by prof. shibata - ufmt

Tabelas Financeiras 1

Fator de DESCAPITALIZAÇÃO COMPOSTA : (1+ i)−n

n... 0.50% 1.00% 1.50% 2.00% 2.50% 3.00% 3.50% 4.00% 4.50% 5.00% 5.50% 6.00% 6.50% 7.00% 7.50% 8.00%

... n01 0.995025 0.990099 0.985222 0.980392 0.975610 0.970874 0.966184 0.961538 0.956938 0.952381 0.947867 0.943396 0.938967 0.934579 0.930233 0.925926 0102 0.990075 0.980296 0.970662 0.961169 0.951814 0.942596 0.933511 0.924556 0.915730 0.907029 0.898452 0.889996 0.881659 0.873439 0.865333 0.857339 0203 0.985149 0.970590 0.956317 0.942322 0.928599 0.915142 0.901943 0.888996 0.876297 0.863838 0.851614 0.839619 0.827849 0.816298 0.804961 0.793832 0304 0.980248 0.960980 0.942184 0.923845 0.905951 0.888487 0.871442 0.854804 0.838561 0.822702 0.807217 0.792094 0.777323 0.762895 0.748801 0.735030 0405 0.975371 0.951466 0.928260 0.905731 0.883854 0.862609 0.841973 0.821927 0.802451 0.783526 0.765134 0.747258 0.729881 0.712986 0.696559 0.680583 0506 0.970518 0.942045 0.914542 0.887971 0.862297 0.837484 0.813501 0.790315 0.767896 0.746215 0.725246 0.704961 0.685334 0.666342 0.647962 0.630170 0607 0.965691 0.932718 0.901027 0.870560 0.841265 0.813092 0.785991 0.759918 0.734828 0.710681 0.687437 0.665057 0.643506 0.622750 0.602755 0.583490 0708 0.960885 0.923483 0.887711 0.853490 0.820747 0.789409 0.759412 0.730690 0.703185 0.676839 0.651599 0.627412 0.604231 0.582009 0.560702 0.540269 0809 0.956105 0.914340 0.874592 0.836755 0.800728 0.766417 0.733731 0.702587 0.672904 0.644609 0.617629 0.591898 0.567353 0.543934 0.521583 0.500249 0910 0.951348 0.905287 0.861667 0.820348 0.781198 0.744094 0.708919 0.675564 0.643928 0.613913 0.585431 0.558395 0.532726 0.508349 0.485194 0.463193 1011 0.946615 0.896324 0.848933 0.804263 0.762145 0.722421 0.684946 0.649581 0.616199 0.584679 0.554911 0.526788 0.500212 0.475093 0.451343 0.428883 1112 0.941905 0.887449 0.836387 0.788493 0.743556 0.701380 0.661783 0.624597 0.589664 0.556837 0.525982 0.496969 0.469683 0.444012 0.419854 0.397114 1213 0.937219 0.878663 0.824027 0.773033 0.725420 0.680951 0.639404 0.600574 0.564272 0.530321 0.498561 0.468839 0.441017 0.414964 0.390562 0.367698 1314 0.932556 0.869963 0.811849 0.757875 0.707727 0.661118 0.617782 0.577475 0.539973 0.505068 0.472569 0.442301 0.414100 0.387817 0.363313 0.340461 1415 0.927917 0.861349 0.799852 0.743015 0.690466 0.641862 0.596891 0.555265 0.516720 0.481017 0.447933 0.417265 0.388827 0.362446 0.337966 0.315242 1516 0.923300 0.852821 0.788031 0.728446 0.673625 0.623167 0.576706 0.533908 0.494469 0.458112 0.424581 0.393646 0.365095 0.338735 0.314387 0.291890 1617 0.918707 0.844377 0.776385 0.714163 0.657195 0.605016 0.557204 0.513373 0.473176 0.436297 0.402447 0.371364 0.342813 0.316574 0.292453 0.270269 1718 0.914136 0.836017 0.764912 0.700159 0.641166 0.587395 0.538361 0.493628 0.452800 0.415521 0.381466 0.350344 0.321890 0.295864 0.272049 0.250249 1819 0.909588 0.827740 0.753607 0.686431 0.625528 0.570286 0.520156 0.474642 0.433302 0.395734 0.361579 0.330513 0.302244 0.276508 0.253069 0.231712 1920 0.905063 0.819544 0.742470 0.672971 0.610271 0.553676 0.502566 0.456387 0.414643 0.376889 0.342729 0.311805 0.283797 0.258419 0.235413 0.214548 2021 0.900560 0.811430 0.731498 0.659776 0.595386 0.537549 0.485571 0.438834 0.396787 0.358942 0.324862 0.294155 0.266476 0.241513 0.218989 0.198656 2122 0.896080 0.803396 0.720688 0.646839 0.580865 0.521893 0.469151 0.421955 0.379701 0.341850 0.307926 0.277505 0.250212 0.225713 0.203711 0.183941 2223 0.891622 0.795442 0.710037 0.634156 0.566697 0.506692 0.453286 0.405726 0.363350 0.325571 0.291873 0.261797 0.234941 0.210947 0.189498 0.170315 2324 0.887186 0.787566 0.699544 0.621721 0.552875 0.491934 0.437957 0.390121 0.347703 0.310068 0.276657 0.246979 0.220602 0.197147 0.176277 0.157699 2425 0.882772 0.779768 0.689206 0.609531 0.539391 0.477606 0.423147 0.375117 0.332731 0.295303 0.262234 0.232999 0.207138 0.184249 0.163979 0.146018 2526 0.878380 0.772048 0.679021 0.597579 0.526235 0.463695 0.408838 0.360689 0.318402 0.281241 0.248563 0.219810 0.194496 0.172195 0.152539 0.135202 2627 0.874010 0.764404 0.668986 0.585862 0.513400 0.450189 0.395012 0.346817 0.304691 0.267848 0.235605 0.207368 0.182625 0.160930 0.141896 0.125187 2728 0.869662 0.756836 0.659099 0.574375 0.500878 0.437077 0.381654 0.333477 0.291571 0.255094 0.223322 0.195630 0.171479 0.150402 0.131997 0.115914 2829 0.865335 0.749342 0.649359 0.563112 0.488661 0.424346 0.368748 0.320651 0.279015 0.242946 0.211679 0.184557 0.161013 0.140563 0.122788 0.107328 2930 0.861030 0.741923 0.639762 0.552071 0.476743 0.411987 0.356278 0.308319 0.267000 0.231377 0.200644 0.174110 0.151186 0.131367 0.114221 0.099377 3031 0.856746 0.734577 0.630308 0.541246 0.465115 0.399987 0.344230 0.296460 0.255502 0.220359 0.190184 0.164255 0.141959 0.122773 0.106252 0.092016 3132 0.852484 0.727304 0.620993 0.530633 0.453771 0.388337 0.332590 0.285058 0.244500 0.209866 0.180269 0.154957 0.133295 0.114741 0.098839 0.085200 3233 0.848242 0.720103 0.611816 0.520229 0.442703 0.377026 0.321343 0.274094 0.233971 0.199873 0.170871 0.146186 0.125159 0.107235 0.091943 0.078889 3334 0.844022 0.712973 0.602774 0.510028 0.431905 0.366045 0.310476 0.263552 0.223896 0.190355 0.161963 0.137912 0.117520 0.100219 0.085529 0.073045 3435 0.839823 0.705914 0.593866 0.500028 0.421371 0.355383 0.299977 0.253415 0.214254 0.181290 0.153520 0.130105 0.110348 0.093663 0.079562 0.067635 3536 0.835645 0.698925 0.585090 0.490223 0.411094 0.345032 0.289833 0.243669 0.205028 0.172657 0.145516 0.122741 0.103613 0.087535 0.074011 0.062625 3637 0.831487 0.692005 0.576443 0.480611 0.401067 0.334983 0.280032 0.234297 0.196199 0.164436 0.137930 0.115793 0.097289 0.081809 0.068847 0.057986 3738 0.827351 0.685153 0.567924 0.471187 0.391285 0.325226 0.270562 0.225285 0.187750 0.156605 0.130739 0.109239 0.091351 0.076457 0.064044 0.053690 3839 0.823235 0.678370 0.559531 0.461948 0.381741 0.315754 0.261413 0.216621 0.179665 0.149148 0.123924 0.103056 0.085776 0.071455 0.059576 0.049713 3940 0.819139 0.671653 0.551262 0.452890 0.372431 0.306557 0.252572 0.208289 0.171929 0.142046 0.117463 0.097222 0.080541 0.066780 0.055419 0.046031 4041 0.815064 0.665003 0.543116 0.444010 0.363347 0.297628 0.244031 0.200278 0.164525 0.135282 0.111339 0.091719 0.075625 0.062412 0.051553 0.042621 4142 0.811009 0.658419 0.535089 0.435304 0.354485 0.288959 0.235779 0.192575 0.157440 0.128840 0.105535 0.086527 0.071009 0.058329 0.047956 0.039464 4243 0.806974 0.651900 0.527182 0.426769 0.345839 0.280543 0.227806 0.185168 0.150661 0.122704 0.100033 0.081629 0.066676 0.054513 0.044610 0.036541 4344 0.802959 0.645445 0.519391 0.418401 0.337404 0.272372 0.220102 0.178046 0.144173 0.116861 0.094818 0.077009 0.062606 0.050946 0.041498 0.033834 4445 0.798964 0.639055 0.511715 0.410197 0.329174 0.264439 0.212659 0.171198 0.137964 0.111297 0.089875 0.072650 0.058785 0.047613 0.038603 0.031328 4546 0.794989 0.632728 0.504153 0.402154 0.321146 0.256737 0.205468 0.164614 0.132023 0.105997 0.085189 0.068538 0.055197 0.044499 0.035910 0.029007 4647 0.791034 0.626463 0.496702 0.394268 0.313313 0.249259 0.198520 0.158283 0.126338 0.100949 0.080748 0.064658 0.051828 0.041587 0.033404 0.026859 4748 0.787098 0.620260 0.489362 0.386538 0.305671 0.241999 0.191806 0.152195 0.120898 0.096142 0.076539 0.060998 0.048665 0.038867 0.031074 0.024869 4849 0.783183 0.614119 0.482130 0.378958 0.298216 0.234950 0.185320 0.146341 0.115692 0.091564 0.072549 0.057546 0.045695 0.036324 0.028906 0.023027 4950 0.779286 0.608039 0.475005 0.371528 0.290942 0.228107 0.179053 0.140713 0.110710 0.087204 0.068766 0.054288 0.042906 0.033948 0.026889 0.021321 5051 0.775409 0.602019 0.467985 0.364243 0.283846 0.221463 0.172998 0.135301 0.105942 0.083051 0.065181 0.051215 0.040287 0.031727 0.025013 0.019742 5152 0.771551 0.596058 0.461069 0.357101 0.276923 0.215013 0.167148 0.130097 0.101380 0.079096 0.061783 0.048316 0.037829 0.029651 0.023268 0.018279 5253 0.767713 0.590157 0.454255 0.350099 0.270169 0.208750 0.161496 0.125093 0.097014 0.075330 0.058562 0.045582 0.035520 0.027711 0.021645 0.016925 5354 0.763893 0.584313 0.447542 0.343234 0.263579 0.202670 0.156035 0.120282 0.092837 0.071743 0.055509 0.043001 0.033352 0.025899 0.020135 0.015672 5455 0.760093 0.578528 0.440928 0.336504 0.257151 0.196767 0.150758 0.115656 0.088839 0.068326 0.052616 0.040567 0.031316 0.024204 0.018730 0.014511 5556 0.756311 0.572800 0.434412 0.329906 0.250879 0.191036 0.145660 0.111207 0.085013 0.065073 0.049873 0.038271 0.029405 0.022621 0.017423 0.013436 5657 0.752548 0.567129 0.427992 0.323437 0.244760 0.185472 0.140734 0.106930 0.081353 0.061974 0.047273 0.036105 0.027615 0.021141 0.016208 0.012441 5758 0.748804 0.561514 0.421667 0.317095 0.238790 0.180070 0.135975 0.102817 0.077849 0.059023 0.044808 0.034061 0.025925 0.019758 0.015077 0.011519 5859 0.745079 0.555954 0.415435 0.310878 0.232966 0.174825 0.131377 0.098863 0.074497 0.056212 0.042472 0.032133 0.024343 0.018465 0.014025 0.010666 5960 0.741372 0.550450 0.409296 0.304782 0.227284 0.169733 0.126934 0.095060 0.071289 0.053535 0.040258 0.030314 0.022857 0.017257 0.013046 0.009876 60

Page 6: Matemática financeira   6 tabelas financeiras de alto nível - by prof. shibata - ufmt

2 Tabelas Financeiras

Fator de DESCAPITALIZAÇÃO COMPOSTA : (1+ i)−n

n... 8.50% 9.00% 9.50% 10.00% 10.50% 11.00% 11.50% 12.00% 12.50% 13.00% 13.50% 14.00% 14.50% 15.00% 15.50% 16.00%

... n01 0.921659 0.917431 0.913242 0.909091 0.904977 0.900901 0.896861 0.892857 0.888889 0.884956 0.881057 0.877193 0.873362 0.869565 0.865801 0.862069 0102 0.849455 0.841680 0.834011 0.826446 0.818984 0.811622 0.804360 0.797194 0.790123 0.783147 0.776262 0.769468 0.762762 0.756144 0.749611 0.743163 0203 0.782908 0.772183 0.761654 0.751315 0.741162 0.731191 0.721399 0.711780 0.702332 0.693050 0.683931 0.674972 0.666168 0.657516 0.649014 0.640658 0304 0.721574 0.708425 0.695574 0.683013 0.670735 0.658731 0.646994 0.635518 0.624295 0.613319 0.602583 0.592080 0.581806 0.571753 0.561917 0.552291 0405 0.665045 0.649931 0.635228 0.620921 0.607000 0.593451 0.580264 0.567427 0.554929 0.542760 0.530910 0.519369 0.508127 0.497177 0.486508 0.476113 0506 0.612945 0.596267 0.580117 0.564474 0.549321 0.534641 0.520416 0.506631 0.493270 0.480319 0.467762 0.455587 0.443779 0.432328 0.421219 0.410442 0607 0.564926 0.547034 0.529787 0.513158 0.497123 0.481658 0.466741 0.452349 0.438462 0.425061 0.412125 0.399637 0.387580 0.375937 0.364692 0.353830 0708 0.520669 0.501866 0.483824 0.466507 0.449885 0.433926 0.418602 0.403883 0.389744 0.376160 0.363106 0.350559 0.338498 0.326902 0.315751 0.305025 0809 0.479880 0.460428 0.441848 0.424098 0.407136 0.390925 0.375428 0.360610 0.346439 0.332885 0.319917 0.307508 0.295631 0.284262 0.273377 0.262953 0910 0.442285 0.422411 0.403514 0.385543 0.368449 0.352184 0.336706 0.321973 0.307946 0.294588 0.281865 0.269744 0.258193 0.247185 0.236690 0.226684 1011 0.407636 0.387533 0.368506 0.350494 0.333438 0.317283 0.301979 0.287476 0.273730 0.260698 0.248339 0.236617 0.225496 0.214943 0.204927 0.195417 1112 0.375702 0.355535 0.336535 0.318631 0.301754 0.285841 0.270833 0.256675 0.243315 0.230706 0.218801 0.207559 0.196940 0.186907 0.177426 0.168463 1213 0.346269 0.326179 0.307338 0.289664 0.273080 0.257514 0.242900 0.229174 0.216280 0.204165 0.192776 0.182069 0.172000 0.162528 0.153615 0.145227 1314 0.319142 0.299246 0.280674 0.263331 0.247132 0.231995 0.217847 0.204620 0.192249 0.180677 0.169847 0.159710 0.150218 0.141329 0.133000 0.125195 1415 0.294140 0.274538 0.256323 0.239392 0.223648 0.209004 0.195379 0.182696 0.170888 0.159891 0.149645 0.140096 0.131195 0.122894 0.115152 0.107927 1516 0.271097 0.251870 0.234085 0.217629 0.202397 0.188292 0.175227 0.163122 0.151901 0.141496 0.131846 0.122892 0.114581 0.106865 0.099698 0.093040 1617 0.249859 0.231073 0.213777 0.197845 0.183164 0.169633 0.157155 0.145644 0.135023 0.125218 0.116164 0.107800 0.100071 0.092926 0.086319 0.080207 1718 0.230285 0.211994 0.195230 0.179859 0.165760 0.152822 0.140946 0.130040 0.120020 0.110812 0.102347 0.094561 0.087398 0.080805 0.074735 0.069144 1819 0.212244 0.194490 0.178292 0.163508 0.150009 0.137678 0.126409 0.116107 0.106685 0.098064 0.090173 0.082948 0.076330 0.070265 0.064706 0.059607 1920 0.195616 0.178431 0.162824 0.148644 0.135755 0.124034 0.113371 0.103667 0.094831 0.086782 0.079448 0.072762 0.066664 0.061100 0.056022 0.051385 2021 0.180292 0.163698 0.148697 0.135131 0.122855 0.111742 0.101678 0.092560 0.084294 0.076799 0.069998 0.063826 0.058222 0.053131 0.048504 0.044298 2122 0.166167 0.150182 0.135797 0.122846 0.111181 0.100669 0.091191 0.082642 0.074928 0.067963 0.061672 0.055988 0.050849 0.046201 0.041995 0.038188 2223 0.153150 0.137781 0.124015 0.111678 0.100616 0.090692 0.081786 0.073788 0.066603 0.060144 0.054337 0.049112 0.044409 0.040174 0.036359 0.032921 2324 0.141152 0.126405 0.113256 0.101526 0.091055 0.081705 0.073350 0.065882 0.059202 0.053225 0.047874 0.043081 0.038785 0.034934 0.031480 0.028380 2425 0.130094 0.115968 0.103430 0.092296 0.082403 0.073608 0.065785 0.058823 0.052624 0.047102 0.042179 0.037790 0.033873 0.030378 0.027255 0.024465 2526 0.119902 0.106393 0.094456 0.083905 0.074573 0.066314 0.059000 0.052521 0.046777 0.041683 0.037163 0.033149 0.029584 0.026415 0.023598 0.021091 2627 0.110509 0.097608 0.086262 0.076278 0.067486 0.059742 0.052915 0.046894 0.041580 0.036888 0.032742 0.029078 0.025838 0.022970 0.020431 0.018182 2728 0.101851 0.089548 0.078778 0.069343 0.061074 0.053821 0.047457 0.041869 0.036960 0.032644 0.028848 0.025507 0.022566 0.019974 0.017689 0.015674 2829 0.093872 0.082154 0.071943 0.063039 0.055271 0.048488 0.042563 0.037383 0.032853 0.028889 0.025417 0.022375 0.019708 0.017368 0.015315 0.013512 2930 0.086518 0.075371 0.065702 0.057310 0.050019 0.043683 0.038173 0.033378 0.029203 0.025565 0.022394 0.019627 0.017212 0.015103 0.013260 0.011648 3031 0.079740 0.069148 0.060002 0.052099 0.045266 0.039354 0.034236 0.029802 0.025958 0.022624 0.019730 0.017217 0.015032 0.013133 0.011480 0.010042 3132 0.073493 0.063438 0.054796 0.047362 0.040964 0.035454 0.030705 0.026609 0.023074 0.020021 0.017383 0.015102 0.013129 0.011420 0.009940 0.008656 3233 0.067736 0.058200 0.050042 0.043057 0.037072 0.031940 0.027538 0.023758 0.020510 0.017718 0.015316 0.013248 0.011466 0.009931 0.008606 0.007463 3334 0.062429 0.053395 0.045700 0.039143 0.033549 0.028775 0.024698 0.021212 0.018231 0.015680 0.013494 0.011621 0.010014 0.008635 0.007451 0.006433 3435 0.057539 0.048986 0.041736 0.035584 0.030361 0.025924 0.022150 0.018940 0.016205 0.013876 0.011889 0.010194 0.008746 0.007509 0.006451 0.005546 3536 0.053031 0.044941 0.038115 0.032349 0.027476 0.023355 0.019866 0.016910 0.014405 0.012279 0.010475 0.008942 0.007638 0.006529 0.005585 0.004781 3637 0.048876 0.041231 0.034808 0.029408 0.024865 0.021040 0.017817 0.015098 0.012804 0.010867 0.009229 0.007844 0.006671 0.005678 0.004836 0.004121 3738 0.045047 0.037826 0.031788 0.026735 0.022503 0.018955 0.015979 0.013481 0.011382 0.009616 0.008131 0.006880 0.005826 0.004937 0.004187 0.003553 3839 0.041518 0.034703 0.029030 0.024304 0.020364 0.017077 0.014331 0.012036 0.010117 0.008510 0.007164 0.006035 0.005088 0.004293 0.003625 0.003063 3940 0.038266 0.031838 0.026512 0.022095 0.018429 0.015384 0.012853 0.010747 0.008993 0.007531 0.006312 0.005294 0.004444 0.003733 0.003138 0.002640 4041 0.035268 0.029209 0.024211 0.020086 0.016678 0.013860 0.011527 0.009595 0.007994 0.006665 0.005561 0.004644 0.003881 0.003246 0.002717 0.002276 4142 0.032505 0.026797 0.022111 0.018260 0.015093 0.012486 0.010338 0.008567 0.007105 0.005898 0.004900 0.004074 0.003390 0.002823 0.002353 0.001962 4243 0.029959 0.024584 0.020193 0.016600 0.013659 0.011249 0.009272 0.007649 0.006316 0.005219 0.004317 0.003573 0.002960 0.002455 0.002037 0.001692 4344 0.027612 0.022555 0.018441 0.015091 0.012361 0.010134 0.008316 0.006830 0.005614 0.004619 0.003803 0.003135 0.002586 0.002134 0.001764 0.001458 4445 0.025448 0.020692 0.016841 0.013719 0.011187 0.009130 0.007458 0.006098 0.004990 0.004088 0.003351 0.002750 0.002258 0.001856 0.001527 0.001257 4546 0.023455 0.018984 0.015380 0.012472 0.010124 0.008225 0.006689 0.005445 0.004436 0.003617 0.002952 0.002412 0.001972 0.001614 0.001322 0.001084 4647 0.021617 0.017416 0.014045 0.011338 0.009162 0.007410 0.005999 0.004861 0.003943 0.003201 0.002601 0.002116 0.001722 0.001403 0.001145 0.000934 4748 0.019924 0.015978 0.012827 0.010307 0.008291 0.006676 0.005380 0.004340 0.003505 0.002833 0.002292 0.001856 0.001504 0.001220 0.000991 0.000805 4849 0.018363 0.014659 0.011714 0.009370 0.007503 0.006014 0.004825 0.003875 0.003115 0.002507 0.002019 0.001628 0.001314 0.001061 0.000858 0.000694 4950 0.016924 0.013449 0.010698 0.008519 0.006790 0.005418 0.004328 0.003460 0.002769 0.002219 0.001779 0.001428 0.001147 0.000923 0.000743 0.000598 5051 0.015599 0.012338 0.009770 0.007744 0.006145 0.004881 0.003881 0.003089 0.002461 0.001963 0.001567 0.001252 0.001002 0.000802 0.000643 0.000516 5152 0.014377 0.011319 0.008922 0.007040 0.005561 0.004397 0.003481 0.002758 0.002188 0.001737 0.001381 0.001099 0.000875 0.000698 0.000557 0.000445 5253 0.013250 0.010385 0.008148 0.006400 0.005033 0.003962 0.003122 0.002463 0.001945 0.001538 0.001217 0.000964 0.000765 0.000607 0.000482 0.000383 5354 0.012212 0.009527 0.007441 0.005818 0.004554 0.003569 0.002800 0.002199 0.001729 0.001361 0.001072 0.000845 0.000668 0.000528 0.000417 0.000331 5455 0.011255 0.008741 0.006796 0.005289 0.004122 0.003215 0.002511 0.001963 0.001537 0.001204 0.000945 0.000742 0.000583 0.000459 0.000361 0.000285 5556 0.010374 0.008019 0.006206 0.004809 0.003730 0.002897 0.002252 0.001753 0.001366 0.001067 0.000832 0.000651 0.000509 0.000399 0.000313 0.000246 5657 0.009561 0.007357 0.005668 0.004371 0.003376 0.002610 0.002020 0.001565 0.001214 0.000943 0.000733 0.000571 0.000445 0.000347 0.000271 0.000212 5758 0.008812 0.006749 0.005176 0.003974 0.003055 0.002351 0.001812 0.001398 0.001079 0.000834 0.000646 0.000501 0.000388 0.000302 0.000235 0.000183 5859 0.008122 0.006192 0.004727 0.003613 0.002765 0.002118 0.001625 0.001248 0.000959 0.000738 0.000569 0.000439 0.000339 0.000262 0.000203 0.000157 5960 0.007485 0.005681 0.004317 0.003284 0.002502 0.001908 0.001457 0.001114 0.000853 0.000654 0.000501 0.000385 0.000296 0.000228 0.000176 0.000136 60

Page 7: Matemática financeira   6 tabelas financeiras de alto nível - by prof. shibata - ufmt

Tabelas Financeiras 1

Série de DEPÓSITOS Sñ =(1+)n−1

n. . . 0.50% 1.00% 1.50% 2.00% 2.50% 3.00% 3.50% 4.00% 4.50% 5.00% 5.50% 6.00% 6.50% 7.00% 7.50% 8.00% 8.50% 9.00%

01 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.00000002 2.005000 2.010000 2.015000 2.020000 2.025000 2.030000 2.035000 2.040000 2.045000 2.050000 2.055000 2.060000 2.065000 2.070000 2.075000 2.080000 2.085000 2.09000003 3.015025 3.030100 3.045225 3.060400 3.075625 3.090900 3.106225 3.121600 3.137025 3.152500 3.168025 3.183600 3.199225 3.214900 3.230625 3.246400 3.262225 3.27810004 4.030100 4.060401 4.090903 4.121608 4.152516 4.183627 4.214943 4.246464 4.278191 4.310125 4.342266 4.374616 4.407175 4.439943 4.472922 4.506112 4.539514 4.57312905 5.050251 5.101005 5.152267 5.204040 5.256329 5.309136 5.362466 5.416323 5.470710 5.525631 5.581091 5.637093 5.693641 5.750739 5.808391 5.866601 5.925373 5.98471106 6.075502 6.152015 6.229551 6.308121 6.387737 6.468410 6.550152 6.632975 6.716892 6.801913 6.888051 6.975319 7.063728 7.153291 7.244020 7.335929 7.429030 7.52333507 7.105879 7.213535 7.322994 7.434283 7.547430 7.662462 7.779408 7.898294 8.019152 8.142008 8.266894 8.393838 8.522870 8.654021 8.787322 8.922803 9.060497 9.20043508 8.141409 8.285671 8.432839 8.582969 8.736116 8.892336 9.051687 9.214226 9.380014 9.549109 9.721573 9.897468 10.07686 10.25980 10.44637 10.63663 10.83064 11.0284709 9.182116 9.368527 9.559332 9.754628 9.954519 10.15911 10.36850 10.58280 10.80211 11.02656 11.25626 11.49132 11.73185 11.97799 12.22985 12.48756 12.75124 13.0210410 10.22803 10.46221 10.70272 10.94972 11.20338 11.46388 11.73139 12.00611 12.28821 12.57789 12.87535 13.18079 13.49442 13.81645 14.14709 14.48656 14.83510 15.1929311 11.27917 11.56683 11.86326 12.16872 12.48347 12.80780 13.14199 13.48635 13.84118 14.20679 14.58350 14.97164 15.37156 15.78360 16.20812 16.64549 17.09608 17.5602912 12.33556 12.68250 13.04121 13.41209 13.79555 14.19203 14.60196 15.02581 15.46403 15.91713 16.38559 16.86994 17.37071 17.88845 18.42373 18.97713 19.54925 20.1407213 13.39724 13.80933 14.23683 14.68033 15.14044 15.61779 16.11303 16.62684 17.15991 17.71298 18.28680 18.88214 19.49981 20.14064 20.80551 21.49530 22.21094 22.9533814 14.46423 14.94742 15.45038 15.97394 16.51895 17.08632 17.67699 18.29191 18.93211 19.59863 20.29257 21.01507 21.76730 22.55049 23.36592 24.21492 25.09887 26.0191915 15.53655 16.09690 16.68214 17.29342 17.93193 18.59891 19.29568 20.02359 20.78405 21.57856 22.40866 23.27597 24.18217 25.12902 26.11836 27.15211 28.23227 29.3609216 16.61423 17.25786 17.93237 18.63929 19.38022 20.15688 20.97103 21.82453 22.71934 23.65749 24.64114 25.67253 26.75401 27.88805 29.07724 30.32428 31.63201 33.0034017 17.69730 18.43044 19.20136 20.01207 20.86473 21.76159 22.70502 23.69751 24.74171 25.84037 26.99640 28.21288 29.49302 30.84022 32.25804 33.75023 35.32073 36.9737018 18.78579 19.61475 20.48938 21.41231 22.38635 23.41444 24.49969 25.64541 26.85508 28.13238 29.48120 30.90565 32.41007 33.99903 35.67739 37.45024 39.32300 41.3013419 19.87972 20.81090 21.79672 22.84056 23.94601 25.11687 26.35718 27.67123 29.06356 30.53900 32.10267 33.75999 35.51672 37.37896 39.35319 41.44626 43.66545 46.0184620 20.97912 22.01900 23.12367 24.29737 25.54466 26.87037 28.27968 29.77808 31.37142 33.06595 34.86832 36.78559 38.82531 40.99549 43.30468 45.76196 48.37701 51.1601221 22.08401 23.23919 24.47052 25.78332 27.18327 28.67649 30.26947 31.96920 33.78314 35.71925 37.78608 39.99273 42.34895 44.86518 47.55253 50.42292 53.48906 56.7645322 23.19443 24.47159 25.83758 27.29898 28.86286 30.53678 32.32890 34.24797 36.30338 38.50521 40.86431 43.39229 46.10164 49.00574 52.11897 55.45676 59.03563 62.8733423 24.31040 25.71630 27.22514 28.84496 30.58443 32.45288 34.46041 36.61789 38.93703 41.43048 44.11185 46.99583 50.09824 53.43614 57.02790 60.89330 65.05366 69.5319424 25.43196 26.97346 28.63352 30.42186 32.34904 34.42647 36.66653 39.08260 41.68920 44.50200 47.53800 50.81558 54.35463 58.17667 62.30499 66.76476 71.58322 76.7898125 26.55912 28.24320 30.06302 32.03030 34.15776 36.45926 38.94986 41.64591 44.56521 47.72710 51.15259 54.86451 58.88768 63.24904 67.97786 73.10594 78.66779 84.7009026 27.69191 29.52563 31.51397 33.67091 36.01171 38.55304 41.31310 44.31174 47.57064 51.11345 54.96598 59.15638 63.71538 68.67647 74.07620 79.95442 86.35455 93.3239827 28.83037 30.82089 32.98668 35.34432 37.91200 40.70963 43.75906 47.08421 50.71132 54.66913 58.98911 63.70577 68.85688 74.48382 80.63192 87.35077 94.69469 102.723128 29.97452 32.12910 34.48148 37.05121 39.85980 42.93092 46.29063 49.96758 53.99333 58.40258 63.23351 68.52811 74.33257 80.69769 87.67931 95.33883 103.7437 112.968229 31.12439 33.45039 35.99870 38.79223 41.85630 45.21885 48.91080 52.96629 57.42303 62.32271 67.71135 73.63980 80.16419 87.34653 95.25526 103.9659 113.5620 124.135430 32.28002 34.78489 37.53868 40.56808 43.90270 47.57542 51.62268 56.08494 61.00707 66.43885 72.43548 79.05819 86.37486 94.46079 103.3994 113.2832 124.2147 136.307531 33.44142 36.13274 39.10176 42.37944 46.00027 50.00268 54.42947 59.32834 64.75239 70.76079 77.41943 84.80168 92.98923 102.0700 112.1544 123.3459 135.7730 149.575232 34.60862 37.49407 40.68829 44.22703 48.15028 52.50276 57.33450 62.70147 68.66625 75.29883 82.67750 90.88978 100.0335 110.2182 121.5659 134.2135 148.3137 164.037033 35.78167 38.86901 42.29861 46.11157 50.35403 55.07784 60.34121 66.20953 72.75623 80.06377 88.22476 97.34316 107.5357 118.9334 131.6834 145.9506 161.9203 179.800334 36.96058 40.25770 43.93309 48.03380 52.61289 57.73018 63.45315 69.85790 77.03026 85.06696 94.07712 104.1838 115.5255 128.2588 142.5596 158.6267 176.6836 196.982335 38.14538 41.66028 45.59209 49.99448 54.92821 60.46208 66.67401 73.65222 81.49660 90.32031 100.2514 111.4348 124.0347 138.2369 154.2516 172.3168 192.7017 215.710836 39.33610 43.07688 47.27597 51.99437 57.30141 63.27594 70.00760 77.59831 86.16397 95.83632 106.7652 119.1209 133.0969 148.9135 166.8205 187.1021 210.0813 236.1247

n. . . i 9.50% 10.00% 10.50% 11.00% 11.50% 12.00% 12.50% 13.00% 13.50% 14.00% 14.50% 15.00% 15.50% 16.00% 16.50% 17.00% 17.50% 18.00%

01 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.00000002 2.095000 2.100000 2.105000 2.110000 2.115000 2.120000 2.125000 2.130000 2.135000 2.140000 2.145000 2.150000 2.155000 2.160000 2.165000 2.170000 2.175000 2.18000003 3.294025 3.310000 3.326025 3.342100 3.358225 3.374400 3.390625 3.406900 3.423225 3.439600 3.456025 3.472500 3.489025 3.505600 3.522225 3.538900 3.555625 3.57240004 4.606957 4.641000 4.675258 4.709730 4.744421 4.779328 4.814453 4.849797 4.885360 4.921144 4.957149 4.993375 5.029824 5.066496 5.103392 5.140513 5.177859 5.21543205 6.044618 6.105100 6.166160 6.227801 6.290029 6.352847 6.416260 6.480271 6.544884 6.610104 6.675935 6.742381 6.809447 6.877135 6.945452 7.014400 7.083985 7.15421006 7.618857 7.715610 7.813606 7.912860 8.013383 8.115189 8.218292 8.322706 8.428443 8.535519 8.643946 8.753738 8.864911 8.977477 9.091451 9.206848 9.323682 9.44196807 9.342648 9.487171 9.634035 9.783274 9.934922 10.08901 10.24558 10.40466 10.56628 10.73049 10.89732 11.06680 11.23897 11.41387 11.59154 11.77201 11.95533 12.1415208 11.23020 11.43589 11.64561 11.85943 12.07744 12.29969 12.52628 12.75726 12.99273 13.23276 13.47743 13.72682 13.98101 14.24009 14.50415 14.77325 15.04751 15.3270009 13.29707 13.57948 13.86840 14.16397 14.46634 14.77566 15.09206 15.41571 15.74675 16.08535 16.43166 16.78584 17.14807 17.51851 17.89733 18.28471 18.68082 19.0858510 15.56029 15.93742 16.32458 16.72201 17.12997 17.54874 17.97857 18.41975 18.87256 19.33730 19.81425 20.30372 20.80602 21.32147 21.85039 22.39311 22.94997 23.5213111 18.03852 18.53117 19.03866 19.56143 20.09992 20.65458 21.22589 21.81432 22.42036 23.04452 23.68731 24.34928 25.03095 25.73290 26.45570 27.19994 27.96621 28.7551412 20.75218 21.38428 22.03772 22.71319 23.41141 24.13313 24.87913 25.65018 26.44711 27.27075 28.12197 29.00167 29.91075 30.85017 31.82089 32.82393 33.86030 34.9310713 23.72363 24.52271 25.35168 26.21164 27.10372 28.02911 28.98902 29.98470 31.01746 32.08865 33.19966 34.35192 35.54692 36.78620 38.07134 39.40399 40.78585 42.2186614 26.97738 27.97498 29.01361 30.09492 31.22065 32.39260 33.61264 34.88271 36.20482 37.58107 39.01361 40.50471 42.05669 43.67199 45.35311 47.10267 48.92337 50.8180215 30.54023 31.77248 33.06004 34.40536 35.81102 37.27971 38.81422 40.41746 42.09247 43.84241 45.67058 47.58041 49.57548 51.65951 53.83638 56.11013 58.48496 60.9652716 34.44155 35.94973 37.53134 39.18995 40.92929 42.75328 44.66600 46.67173 48.77496 50.98035 53.29282 55.71747 58.25968 60.92503 63.71938 66.64885 69.71983 72.9390117 38.71350 40.54470 42.47213 44.50084 46.63616 48.88367 51.24925 53.73906 56.35958 59.11760 62.02027 65.07509 68.28993 71.67303 75.23307 78.97915 82.92080 87.0680418 43.39128 45.59917 47.93170 50.39594 52.99932 55.74971 58.65541 61.72514 64.96812 68.39407 72.01321 75.83636 79.87486 84.14072 88.64653 93.40561 98.43194 103.740319 48.51345 51.15909 53.96453 56.93949 60.09424 63.43968 66.98733 70.74941 74.73882 78.96923 83.45513 88.21181 93.25547 98.60323 104.2732 110.2846 116.6575 123.413520 54.12223 57.27500 60.63081 64.20283 68.00508 72.05244 76.36075 80.94683 85.82856 91.02493 96.55612 102.4436 108.7101 115.3797 122.4783 130.0329 138.0726 146.628021 60.26384 64.00250 67.99704 72.26514 76.82566 81.69874 86.90584 92.46992 98.41541 104.7684 111.5568 118.8101 126.5601 134.8405 143.6872 153.1385 163.2353 174.021022 66.98891 71.40275 76.13673 81.21431 86.66062 92.50258 98.76908 105.4910 112.7015 120.4360 128.7325 137.6316 147.1769 157.4150 168.3956 180.1721 192.8015 206.344823 74.35286 79.54302 85.13109 91.14788 97.62659 104.6029 112.1152 120.2048 128.9162 138.2970 148.3987 159.2764 170.9894 183.6014 197.1809 211.8013 227.5417 244.486824 82.41638 88.49733 95.06985 102.1742 109.8536 118.1552 127.1296 136.8315 147.3199 158.6586 170.9165 184.1678 198.4927 213.9776 230.7157 248.8076 268.3616 289.494525 91.24593 98.34706 106.0522 114.4133 123.4868 133.3339 144.0208 155.6196 168.2081 181.8708 196.6994 212.7930 230.2591 249.2140 269.7838 292.1049 316.3248 342.603526 100.9143 109.1818 118.1877 127.9988 138.6878 150.3339 163.0234 176.8501 191.9162 208.3327 226.2208 245.7120 266.9493 290.0883 315.2981 342.7627 372.6817 405.272127 111.5012 121.0999 131.5974 143.0786 155.6369 169.3740 184.4013 200.8406 218.8248 238.4993 260.0228 283.5688 309.3264 337.5024 368.3223 402.0323 438.9010 479.221128 123.0938 134.2099 146.4151 159.8173 174.5351 190.6989 208.4515 227.9499 249.3662 272.8892 298.7262 327.1041 358.2720 392.5028 430.0955 471.3778 516.7086 566.480929 135.7877 148.6309 162.7887 178.3972 195.6067 214.5828 235.5079 258.5834 284.0306 312.0937 343.0415 377.1697 414.8041 456.3032 502.0613 552.5121 608.1326 669.447530 149.6875 164.4940 180.8815 199.0209 219.1014 241.3327 265.9464 293.1992 323.3748 356.7868 393.7825 434.7451 480.0988 530.3117 585.9014 647.4391 715.5558 790.9480

Page 8: Matemática financeira   6 tabelas financeiras de alto nível - by prof. shibata - ufmt

2 Tabelas Financeiras

Série de DEPÓSITOS Sñ =(1+)n−1

n. . . i 18.50% 19.00% 19.50% 20.00% 20.50% 21.00% 21.50% 22.00% 22.50% 23.00% 23.50% 24.00% 24.50% 25.00% 25.50% 26.00% 26.50% 27.00%

01 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.00000002 2.185000 2.190000 2.195000 2.200000 2.205000 2.210000 2.215000 2.220000 2.225000 2.230000 2.235000 2.240000 2.245000 2.250000 2.255000 2.260000 2.265000 2.27000003 3.589225 3.606100 3.623025 3.640000 3.657025 3.674100 3.691225 3.708400 3.725625 3.742900 3.760225 3.777600 3.795025 3.812500 3.830025 3.847600 3.865225 3.88290004 5.253232 5.291259 5.329515 5.368000 5.406715 5.445661 5.484838 5.524248 5.563891 5.603767 5.643878 5.684224 5.724806 5.765625 5.806681 5.847976 5.889510 5.93128305 7.225079 7.296598 7.368770 7.441600 7.515092 7.589250 7.664079 7.739583 7.815766 7.892633 7.970189 8.048438 8.127384 8.207031 8.287385 8.368450 8.450230 8.53272906 9.561719 9.682952 9.805680 9.929920 10.05569 10.18299 10.31186 10.44229 10.57431 10.70794 10.84318 10.98006 11.11859 11.25879 11.40067 11.54425 11.68954 11.8365707 12.33064 12.52271 12.71779 12.91590 13.11710 13.32142 13.52890 13.73959 13.95353 14.17077 14.39133 14.61528 14.84265 15.07349 15.30784 15.54575 15.78727 16.0324408 15.61181 15.90203 16.19776 16.49908 16.80611 17.11892 17.43762 17.76231 18.09308 18.43004 18.77329 19.12294 19.47910 19.84186 20.21134 20.58765 20.97090 21.3612009 19.49999 19.92341 20.35632 20.79890 21.25136 21.71389 22.18671 22.67001 23.16402 23.66895 24.18502 24.71245 25.25148 25.80232 26.36523 26.94043 27.52818 28.1287210 24.10749 24.70886 25.32580 25.95868 26.60789 27.27381 27.95685 28.65742 29.37593 30.11281 30.86850 31.64344 32.43809 33.25290 34.08836 34.94495 35.82315 36.7234811 29.56737 30.40355 31.26433 32.15042 33.06250 34.00131 34.96757 35.96205 36.98551 38.03876 39.12260 40.23787 41.38542 42.56613 43.78089 45.03063 46.31629 47.6388112 36.03734 37.18022 38.36088 39.58050 40.84032 42.14158 43.48560 44.87370 46.30725 47.78767 49.31641 50.89495 52.52485 54.20766 55.94502 57.73860 59.59010 61.5012913 43.70424 45.24446 46.84125 48.49660 50.21258 51.99132 53.83500 55.74591 57.72638 59.77883 61.90576 64.10974 66.39343 68.75958 71.21100 73.75063 76.38148 79.1066414 52.78953 54.84091 56.97529 59.19592 61.50616 63.90949 66.40953 69.01001 71.71482 74.52796 77.45361 80.49608 83.65982 86.94947 90.36981 93.92580 97.62257 101.465415 63.55559 66.26068 69.08547 72.03511 75.11493 78.33049 81.68758 85.19221 88.85065 92.66940 96.65521 100.8151 105.1565 109.6868 114.4141 119.3465 124.4926 129.861116 76.31338 79.85021 83.55714 87.44213 91.51348 95.77989 100.2504 104.9345 109.8420 114.9834 120.3692 126.0108 131.9198 138.1085 144.5897 151.3766 158.4831 165.923617 91.43135 96.02175 100.8508 105.9306 111.2737 116.8937 122.8042 129.0201 135.5565 142.4295 149.6559 157.2534 165.2402 173.6357 182.4601 191.7345 201.4811 211.723018 109.3461 115.2659 121.5167 128.1167 135.0849 142.4413 150.2072 158.4045 167.0567 176.1883 185.8251 195.9942 206.7240 218.0446 229.9874 242.5855 255.8736 269.888219 130.5752 138.1664 146.2124 154.7400 163.7773 173.3540 183.5017 194.2535 205.6445 217.7116 230.4940 244.0328 258.3714 273.5558 289.6342 306.6577 324.6801 343.758020 155.7316 165.4180 175.7239 186.6880 198.3516 210.7584 223.9546 237.9893 252.9145 268.7853 285.6601 303.6006 322.6724 342.9447 364.4909 387.3887 411.7203 437.572621 185.5419 197.8474 210.9900 225.0256 240.0137 256.0176 273.1048 291.3469 310.8203 331.6059 353.7902 377.4648 402.7271 429.6809 458.4361 489.1098 521.8262 556.717322 220.8672 236.4385 253.1331 271.0307 290.2165 310.7813 332.8223 356.4432 381.7548 408.8753 437.9309 469.0563 502.3953 538.1011 576.3373 617.2783 661.1101 708.030923 262.7276 282.3618 303.4940 326.2369 350.7109 377.0454 405.3791 435.8607 468.6496 503.9166 541.8447 582.6298 626.4821 673.6264 724.3033 778.7707 837.3043 900.199324 312.3322 337.0105 363.6754 392.4842 423.6066 457.2249 493.5356 532.7501 575.0958 620.8174 670.1782 723.4610 780.9702 843.0329 910.0007 982.2511 1060.190 1144.25325 371.1137 402.0425 435.5921 471.9811 511.4460 554.2422 600.6458 650.9551 705.4924 764.6054 828.6700 898.0916 973.3079 1054.791 1143.051 1238.636 1342.140 1454.20126 440.7697 479.4306 521.5325 567.3773 617.2924 671.6330 730.7846 795.1653 865.2282 941.4647 1024.407 1114.634 1212.768 1319.489 1435.529 1561.682 1698.807 1847.83627 523.3122 571.5224 624.2314 681.8528 744.8373 813.6759 888.9033 971.1016 1060.904 1159.002 1266.143 1383.146 1510.897 1650.361 1802.589 1968.719 2149.991 2347.75128 621.1249 681.1116 746.9565 819.2233 898.5290 985.5479 1081.018 1185.744 1300.608 1426.572 1564.687 1716.101 1882.066 2063.952 2263.249 2481.586 2720.739 2982.64429 737.0330 811.5228 893.6130 984.0680 1083.727 1193.513 1314.436 1447.608 1594.245 1755.683 1933.388 2128.965 2344.173 2580.939 2841.377 3127.798 3442.735 3788.95830 874.3841 966.7122 1068.868 1181.882 1306.892 1445.151 1598.040 1767.081 1953.950 2160.491 2388.735 2640.916 2919.495 3227.174 3566.928 3942.026 4356.060 4812.97731 1037.145 1151.387 1278.297 1419.258 1575.804 1749.632 1942.619 2156.839 2394.589 2658.404 2951.087 3275.736 3635.771 4034.968 4477.495 4967.953 5511.416 6113.48132 1230.017 1371.151 1528.565 1704.109 1899.844 2118.055 2361.282 2632.344 2934.371 3270.836 3645.593 4062.913 4527.535 5044.710 5620.256 6260.620 6972.941 7765.12133 1458.570 1632.670 1827.635 2045.931 2290.312 2563.847 2869.957 3212.460 3595.605 4024.129 4503.307 5039.012 5637.781 6306.887 7054.422 7889.382 8821.770 9862.70334 1729.406 1943.877 2185.023 2456.118 2760.826 3103.254 3487.998 3920.201 4405.616 4950.678 5562.584 6249.375 7020.037 7884.609 8854.299 9941.621 11160.54 12526.6335 2050.346 2314.214 2612.103 2948.341 3327.796 3755.938 4238.918 4783.645 5397.879 6090.334 6870.791 7750.225 8740.947 9856.761 11113.15 12527.44 14119.08 15909.8236 2430.660 2754.914 3122.463 3539.009 4010.994 4545.685 5151.285 5837.047 6613.400 7492.111 8486.427 9611.279 10883.48 12321.95 13948.00 15785.58 17861.64 20206.48

n. . . i 27.50% 28.00% 28.50% 29.00% 29.50% 30.00% 30.50% 31.00% 31.50% 32.00% 32.50% 33.00% 33.50% 34.00% 34.50% 35.00% 35.50% 36.00%

01 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.00000002 2.275000 2.280000 2.285000 2.290000 2.295000 2.300000 2.305000 2.310000 2.315000 2.320000 2.325000 2.330000 2.335000 2.340000 2.345000 2.350000 2.355000 2.36000003 3.900625 3.918400 3.936225 3.954100 3.972025 3.990000 4.008025 4.026100 4.044225 4.062400 4.080625 4.098900 4.117225 4.135600 4.154025 4.172500 4.191025 4.20960004 5.973297 6.015552 6.058049 6.100789 6.143772 6.187000 6.230473 6.274191 6.318156 6.362368 6.406828 6.451537 6.496495 6.541704 6.587164 6.632875 6.678839 6.72505605 8.615954 8.699907 8.784593 8.870018 8.956185 9.043100 9.130767 9.219190 9.308375 9.398326 9.489047 9.580544 9.672821 9.765883 9.859735 9.954381 10.04983 10.1460806 11.98534 12.13588 12.28820 12.44232 12.59826 12.75603 12.91565 13.07714 13.24051 13.40579 13.57299 13.74212 13.91322 14.08628 14.26134 14.43841 14.61752 14.7986607 16.28131 16.53393 16.79034 17.05060 17.31475 17.58284 17.85492 18.13105 18.41127 18.69564 18.98421 19.27702 19.57414 19.87562 20.18151 20.49186 20.80673 21.1261808 21.75867 22.16343 22.57559 22.99527 23.42260 23.85769 24.30068 24.75168 25.21083 25.67825 26.15408 26.63844 27.13148 27.63333 28.14413 28.66401 29.19312 29.7316109 28.74230 29.36919 30.00963 30.66390 31.33226 32.01500 32.71238 33.42470 34.15224 34.89529 35.65415 36.42913 37.22053 38.02866 38.85385 39.69641 40.55668 41.4349910 37.64644 38.59256 39.56237 40.55643 41.57528 42.61950 43.68966 44.78636 45.91019 47.06178 48.24175 49.45074 50.68941 51.95841 53.25843 54.59016 55.95430 57.3515811 48.99921 50.39847 51.83765 53.31779 54.83999 56.40535 58.01500 59.67013 61.37190 63.12155 64.92032 66.76949 68.67036 70.62427 72.63259 74.69672 76.81808 78.9981512 63.47399 65.51005 67.61138 69.77995 72.01778 74.32695 76.70958 79.16786 81.70405 84.32045 87.01942 89.80342 92.67493 95.63652 98.69083 101.8406 105.0885 108.437513 81.92934 84.85286 87.88062 91.01614 94.26303 97.62504 101.1060 104.7099 108.4408 112.3030 116.3007 120.4385 124.7210 129.1529 133.7392 138.4848 143.3949 148.475014 105.4599 109.6117 113.9266 118.4108 123.0706 127.9125 132.9433 138.1700 143.5997 149.2399 155.0985 161.1833 167.5026 174.0649 180.8792 187.9544 195.3001 202.926015 135.4614 141.3029 147.3957 153.7500 160.3765 167.2863 174.4911 182.0027 189.8336 197.9967 206.5055 215.3737 224.6159 234.2470 244.2825 254.7385 265.6317 276.979316 173.7133 181.8677 190.4034 199.3374 208.6875 218.4722 228.7108 239.4235 250.6312 262.3557 274.6198 287.4471 300.8623 314.8910 329.5600 344.8970 360.9309 377.691917 222.4844 233.7907 245.6684 258.1453 271.2503 285.0139 299.4676 314.6448 330.5800 347.3095 364.8712 383.3046 402.6511 422.9539 444.2581 466.6109 490.0614 514.661018 284.6676 300.2521 316.6839 334.0074 352.2692 371.5180 391.8052 413.1847 435.7127 459.4485 484.4543 510.7951 538.5393 567.7583 598.5272 630.9247 665.0331 700.938919 363.9512 385.3227 407.9389 431.8696 457.1886 483.9734 512.3058 542.2710 573.9622 607.4721 642.9020 680.3575 719.9499 761.7961 806.0191 852.7483 902.1199 954.276920 465.0378 494.2131 525.2014 558.1118 593.0592 630.1655 669.5591 711.3762 755.7603 802.8631 852.8451 905.8755 962.1331 1021.807 1085.096 1152.210 1223.372 1298.81721 593.9232 633.5927 675.8838 720.9642 769.0117 820.2151 874.7747 932.9028 994.8247 1060.779 1131.020 1205.814 1285.448 1370.221 1460.454 1556.484 1658.670 1767.39122 758.2521 811.9987 869.5107 931.0438 996.8701 1067.280 1142.581 1223.103 1309.195 1401.229 1499.601 1604.733 1717.073 1837.096 1965.310 2102.253 2248.497 2404.65123 758.2521 811.9987 869.5107 931.0438 996.8701 1067.280 1142.581 1223.103 1309.195 1401.229 1499.601 1604.733 1717.073 1837.096 1965.310 2102.253 2248.497 2404.65124 1234.908 1332.659 1438.043 1551.640 1674.071 1806.003 1948.149 2101.276 2266.207 2443.821 2635.062 2840.943 3062.545 3301.030 3557.640 3833.706 4130.653 4450.00325 1575.508 1706.803 1848.885 2002.616 2168.922 2348.803 2543.334 2753.672 2981.062 3226.844 3492.458 3779.454 4089.497 4424.380 4786.026 5176.504 5598.034 6053.00426 2009.773 2185.708 2376.817 2584.374 2809.754 3054.444 3320.051 3608.311 3921.097 4260.434 4628.506 5027.673 5460.479 5929.669 6438.205 6989.280 7586.336 8233.08527 2563.461 2798.706 3055.210 3334.843 3639.632 3971.778 4333.667 4727.887 5157.242 5624.772 6133.771 6687.805 7290.740 7946.757 8660.386 9436.528 10280.49 11198.0028 3269.412 3583.344 3926.945 4302.947 4714.323 5164.311 5656.435 6194.532 6782.773 7425.699 8128.246 8895.781 9734.137 10649.65 11649.22 12740.31 13931.06 15230.2729 4169.501 4587.680 5047.125 5551.802 6106.048 6714.604 7382.648 8115.837 8920.347 9802.923 10770.93 11832.39 12996.07 14271.54 15669.20 17200.42 18877.58 20714.1730 5317.114 5873.231 6486.550 7162.824 7908.332 8729.985 9635.356 10632.75 11731.26 12940.86 14272.48 15738.08 17350.76 19124.86 21076.07 23221.57 25580.13 28172.28

Page 9: Matemática financeira   6 tabelas financeiras de alto nível - by prof. shibata - ufmt

Tabelas Financeiras 1

Série de PAGAMENTOS añ =(1+)n−1(1+)n.

n. . . 0.50% 1.00% 1.50% 2.00% 2.50% 3.00% 3.50% 4.00% 4.50% 5.00% 5.50% 6.00% 6.50% 7.00% 7.50% 8.00% 8.50% 9.00%

01 0.995020 0.990100 0.985220 0.980390 0.975610 0.970870 0.966180 0.961540 0.956940 0.952380 0.947870 0.943400 0.938970 0.934580 0.930230 0.925930 0.921660 0.91743002 1.985099 1.970395 1.955883 1.941561 1.927424 1.913470 1.899694 1.886095 1.872668 1.859410 1.846320 1.833393 1.820626 1.808018 1.795565 1.783265 1.771114 1.75911103 2.970248 2.940985 2.912200 2.883883 2.856024 2.828611 2.801637 2.775091 2.748964 2.723248 2.697933 2.673012 2.648476 2.624316 2.600526 2.577097 2.554022 2.53129504 3.950496 3.901966 3.854385 3.807729 3.761974 3.717098 3.673079 3.629895 3.587526 3.545951 3.505150 3.465106 3.425799 3.387211 3.349326 3.312127 3.275597 3.23972005 4.925866 4.853431 4.782645 4.713460 4.645828 4.579707 4.515052 4.451822 4.389977 4.329477 4.270284 4.212364 4.155679 4.100197 4.045885 3.992710 3.940642 3.88965106 5.896384 5.795476 5.697187 5.601431 5.508125 5.417191 5.328553 5.242137 5.157872 5.075692 4.995530 4.917324 4.841014 4.766540 4.693846 4.622880 4.553587 4.48591907 6.862074 6.728195 6.598214 6.471991 6.349391 6.230283 6.114544 6.002055 5.892701 5.786373 5.682967 5.582381 5.484520 5.389289 5.296601 5.206370 5.118514 5.03295308 7.822959 7.651678 7.485925 7.325481 7.170137 7.019692 6.873956 6.732745 6.595886 6.463213 6.334566 6.209794 6.088751 5.971299 5.857304 5.746639 5.639183 5.53481909 8.779064 8.566018 8.360517 8.162237 7.970866 7.786109 7.607687 7.435332 7.268790 7.107822 6.952195 6.801692 6.656104 6.515232 6.378887 6.246888 6.119063 5.99524710 9.730412 9.471305 9.222185 8.982585 8.752064 8.530203 8.316605 8.110896 7.912718 7.721735 7.537626 7.360087 7.188830 7.023582 6.864081 6.710081 6.561348 6.41765811 10.67703 10.36763 10.07112 9.786848 9.514209 9.252624 9.001551 8.760477 8.528917 8.306414 8.092536 7.886875 7.689042 7.498674 7.315424 7.138964 6.968984 6.80519112 11.61893 11.25508 10.90751 10.57534 10.25776 9.954004 9.663334 9.385074 9.118581 8.863252 8.618518 8.383844 8.158725 7.942686 7.735278 7.536078 7.344686 7.16072513 12.55615 12.13374 11.73153 11.34837 10.98318 10.63496 10.30274 9.985648 9.682852 9.393573 9.117079 8.852683 8.599742 8.357651 8.125840 7.903776 7.690955 7.48690414 13.48871 13.00370 12.54338 12.10625 11.69091 11.29607 10.92052 10.56312 10.22283 9.898641 9.589648 9.294984 9.013842 8.745468 8.489154 8.244237 8.010097 7.78615015 14.41662 13.86505 13.34323 12.84926 12.38138 11.93794 11.51741 11.11839 10.73955 10.37966 10.03758 9.712249 9.402669 9.107914 8.827120 8.559479 8.304237 8.06068816 15.33993 14.71787 14.13126 13.57771 13.05500 12.56110 12.09412 11.65230 11.23402 10.83777 10.46216 10.10590 9.767764 9.446649 9.141507 8.851369 8.575333 8.31255817 16.25863 15.56225 14.90765 14.29187 13.71220 13.16612 12.65132 12.16567 11.70719 11.27407 10.86461 10.47726 10.11058 9.763223 9.433960 9.121638 8.825192 8.54363118 17.17277 16.39827 15.67256 14.99203 14.35336 13.75351 13.18968 12.65930 12.15999 11.68959 11.24607 10.82760 10.43247 10.05909 9.706009 9.371887 9.055476 8.75562519 18.08236 17.22601 16.42617 15.67846 14.97889 14.32380 13.70984 13.13394 12.59329 12.08532 11.60765 11.15812 10.73471 10.33560 9.959078 9.603599 9.267720 8.95011520 18.98742 18.04555 17.16864 16.35143 15.58916 14.87747 14.21240 13.59033 13.00794 12.46221 11.95038 11.46992 11.01851 10.59401 10.19449 9.818147 9.463337 9.12854621 19.88790 18.85698 17.90014 17.01121 16.18455 15.41502 14.69797 14.02916 13.40472 12.82115 12.27524 11.76408 11.28498 10.83553 10.41348 10.01680 9.643628 9.29224422 20.78406 19.66038 18.62082 17.65805 16.76541 15.93692 15.16712 14.45112 13.78442 13.16300 12.58317 12.04158 11.53520 11.06124 10.61719 10.20074 9.809796 9.44242523 21.67568 20.45582 19.33086 18.29220 17.33211 16.44361 15.62041 14.85684 14.14777 13.48857 12.87504 12.30338 11.77014 11.27219 10.80669 10.37106 9.962945 9.58020724 22.56287 21.24339 20.03041 18.91393 17.88499 16.93554 16.05837 15.24696 14.49548 13.79864 13.15170 12.55036 11.99074 11.46933 10.98297 10.52876 10.10410 9.70661225 23.44564 22.02316 20.71961 19.52346 18.42438 17.41315 16.48151 15.62208 14.82821 14.09394 13.41393 12.78336 12.19788 11.65358 11.14695 10.67478 10.23419 9.82258026 24.32402 22.79520 21.39863 20.12104 18.95061 17.87684 16.89035 15.98277 15.14661 14.37519 13.66250 13.00317 12.39237 11.82578 11.29948 10.80998 10.35409 9.92897227 25.19803 23.55961 22.06762 20.70690 19.46401 18.32703 17.28536 16.32959 15.45130 14.64303 13.89810 13.21053 12.57500 11.98671 11.44138 10.93516 10.46460 10.0265828 26.06769 24.31644 22.72672 21.28127 19.96489 18.76411 17.66702 16.66306 15.74287 14.89813 14.12142 13.40616 12.74648 12.13711 11.57338 11.05108 10.56645 10.1161329 26.93302 25.06579 23.37608 21.84438 20.45355 19.18845 18.03577 16.98371 16.02189 15.14107 14.33310 13.59072 12.90749 12.27767 11.69617 11.15841 10.66033 10.1982830 27.79405 25.80771 24.01584 22.39646 20.93029 19.60044 18.39205 17.29203 16.28889 15.37245 14.53375 13.76483 13.05868 12.40904 11.81039 11.25778 10.74684 10.2736531 28.65080 26.54229 24.64615 22.93770 21.39541 20.00043 18.73628 17.58849 16.54439 15.59281 14.72393 13.92909 13.20063 12.53181 11.91664 11.34980 10.82658 10.3428032 29.50328 27.26959 25.26714 23.46833 21.84918 20.38877 19.06887 17.87355 16.78889 15.80268 14.90420 14.08404 13.33393 12.64656 12.01548 11.43500 10.90008 10.4062433 30.35153 27.98969 25.87895 23.98856 22.29188 20.76579 19.39021 18.14765 17.02286 16.00255 15.07507 14.23023 13.45909 12.75379 12.10742 11.51389 10.96781 10.4644434 31.19555 28.70267 26.48173 24.49859 22.72379 21.13184 19.70068 18.41120 17.24676 16.19290 15.23703 14.36814 13.57661 12.85401 12.19295 11.58693 11.03024 10.5178435 32.03537 29.40858 27.07559 24.99862 23.14516 21.48722 20.00066 18.66461 17.46101 16.37419 15.39055 14.49825 13.68696 12.94767 12.27251 11.65457 11.08778 10.5668236 32.87102 30.10751 27.66068 25.48884 23.55625 21.83225 20.29049 18.90828 17.66604 16.54685 15.53607 14.62099 13.79057 13.03521 12.34652 11.71719 11.14081 10.61176

n. . . i 9.50% 10.00% 10.50% 11.00% 11.50% 12.00% 12.50% 13.00% 13.50% 14.00% 14.50% 15.00% 15.50% 16.00% 16.50% 17.00% 17.50% 18.00%

01 0.913240 0.909090 0.904980 0.900900 0.896860 0.892860 0.888890 0.884960 0.881060 0.877190 0.873360 0.869570 0.865800 0.862070 0.858370 0.854700 0.851060 0.84746002 1.747253 1.735537 1.723961 1.712523 1.701221 1.690051 1.679012 1.668102 1.657319 1.646661 1.636124 1.625709 1.615412 1.605232 1.595167 1.585214 1.575373 1.56564203 2.508907 2.486852 2.465123 2.443715 2.422619 2.401831 2.381344 2.361153 2.341250 2.321632 2.302292 2.283225 2.264426 2.245890 2.227611 2.209585 2.191807 2.17427304 3.204481 3.169865 3.135858 3.102446 3.069614 3.037349 3.005639 2.974471 2.943833 2.913712 2.884098 2.854978 2.826343 2.798181 2.770481 2.743235 2.716432 2.69006205 3.839709 3.790787 3.742858 3.695897 3.649878 3.604776 3.560568 3.517231 3.474743 3.433081 3.392225 3.352155 3.312851 3.274294 3.236465 3.199346 3.162921 3.12717106 4.419825 4.355261 4.292179 4.230538 4.170294 4.111407 4.053839 3.997550 3.942505 3.888668 3.836005 3.784483 3.734070 3.684736 3.636450 3.589185 3.542911 3.49760307 4.949612 4.868419 4.789303 4.712196 4.637035 4.563757 4.492301 4.422610 4.354630 4.288305 4.223585 4.160420 4.098762 4.038565 3.979786 3.922380 3.866307 3.81152808 5.433436 5.334926 5.239188 5.146123 5.055637 4.967640 4.882045 4.798770 4.717735 4.638864 4.562083 4.487322 4.414513 4.343591 4.274494 4.207163 4.141538 4.07756609 5.875284 5.759024 5.646324 5.537048 5.431064 5.328250 5.228485 5.131655 5.037652 4.946372 4.857714 4.771584 4.687890 4.606544 4.527463 4.450566 4.375777 4.30302210 6.278798 6.144567 6.014773 5.889232 5.767771 5.650223 5.536431 5.426243 5.319517 5.216116 5.115908 5.018769 4.924580 4.833227 4.744603 4.658604 4.575129 4.49408611 6.647304 6.495061 6.348211 6.206515 6.069750 5.937699 5.810161 5.686941 5.567857 5.452733 5.341404 5.233712 5.129506 5.028644 4.930990 4.836413 4.744791 4.65600512 6.983839 6.813692 6.649964 6.492356 6.340583 6.194374 6.053476 5.917647 5.786658 5.660292 5.538344 5.420619 5.306932 5.197107 5.090978 4.988387 4.889184 4.79322513 7.291178 7.103356 6.923045 6.749870 6.583482 6.423548 6.269757 6.121812 5.979434 5.842362 5.710344 5.583147 5.460547 5.342334 5.228308 5.118280 5.012071 4.90951314 7.571852 7.366687 7.170176 6.981865 6.801329 6.628168 6.462006 6.302488 6.149281 6.002072 5.860563 5.724476 5.593547 5.467529 5.346187 5.229299 5.116657 5.00806215 7.828175 7.606080 7.393825 7.190870 6.996708 6.810864 6.632894 6.462379 6.298926 6.142168 5.991758 5.847370 5.708699 5.575456 5.447371 5.324187 5.205665 5.09157816 8.062260 7.823709 7.596221 7.379162 7.171935 6.973986 6.784795 6.603875 6.430772 6.265060 6.106339 5.954235 5.808397 5.668497 5.534224 5.405288 5.281417 5.16235417 8.276037 8.021553 7.779386 7.548794 7.329090 7.119630 6.919818 6.729093 6.546936 6.372859 6.206409 6.047161 5.894716 5.748704 5.608776 5.474605 5.345887 5.22233418 8.471266 8.201412 7.945146 7.701617 7.470036 7.249670 7.039838 6.839905 6.649283 6.467420 6.293807 6.127966 5.969451 5.817848 5.672769 5.533851 5.400755 5.27316419 8.649558 8.364920 8.095154 7.839294 7.596445 7.365777 7.146523 6.937969 6.739456 6.550369 6.370137 6.198231 6.034157 5.877455 5.727699 5.584488 5.447451 5.31624120 8.812382 8.513564 8.230909 7.963328 7.709816 7.469444 7.241353 7.024752 6.818904 6.623131 6.436801 6.259331 6.090179 5.928841 5.774849 5.627767 5.487192 5.35274621 8.961080 8.648694 8.353764 8.075070 7.811494 7.562003 7.325647 7.101550 6.888902 6.686957 6.495023 6.312462 6.138683 5.973139 5.815321 5.664758 5.521015 5.38368322 9.096876 8.771540 8.464945 8.175739 7.902685 7.644646 7.400575 7.169513 6.950575 6.742944 6.545871 6.358663 6.180678 6.011326 5.850061 5.696375 5.549800 5.40990123 9.220892 8.883218 8.565561 8.266432 7.984471 7.718434 7.467178 7.229658 7.004912 6.792056 6.590281 6.398837 6.217037 6.044247 5.879880 5.723397 5.574298 5.43212024 9.334148 8.984744 8.656616 8.348137 8.057822 7.784316 7.526381 7.282883 7.052786 6.835137 6.629066 6.433771 6.248517 6.072627 5.905477 5.746493 5.595147 5.45094925 9.437578 9.077040 8.739019 8.421745 8.123607 7.843139 7.579005 7.329985 7.094965 6.872927 6.662940 6.464149 6.275772 6.097092 5.927448 5.766234 5.612891 5.46690626 9.532034 9.160945 8.813592 8.488058 8.182607 7.895660 7.625782 7.371668 7.132128 6.906077 6.692524 6.490564 6.299370 6.118183 5.946307 5.783106 5.627992 5.48042927 9.618296 9.237223 8.881079 8.547800 8.235522 7.942554 7.667362 7.408556 7.164870 6.935155 6.718362 6.513534 6.319801 6.136364 5.962495 5.797526 5.640845 5.49188928 9.697074 9.306567 8.942153 8.601622 8.282979 7.984423 7.704322 7.441200 7.193718 6.960662 6.740927 6.533508 6.337490 6.152038 5.976391 5.809851 5.651783 5.50160129 9.769018 9.369606 8.997423 8.650110 8.325542 8.021806 7.737175 7.470088 7.219135 6.983037 6.760635 6.550877 6.352805 6.165550 5.988318 5.820386 5.661092 5.50983130 9.834719 9.426914 9.047442 8.693793 8.363715 8.055184 7.766378 7.495653 7.241529 7.002664 6.777847 6.565980 6.366065 6.177198 5.998557 5.829390 5.669014 5.516806

Page 10: Matemática financeira   6 tabelas financeiras de alto nível - by prof. shibata - ufmt

2 Tabelas Financeiras

Série de PAGAMENTOS añ =(1+)n−1(1+)n .

n. . . i 18.50% 19.00% 19.50% 20.00% 20.50% 21.00% 21.50% 22.00% 22.50% 23.00% 23.50% 24.00% 24.50% 25.00% 25.50% 26.00% 26.50% 27.00%

01 0.843880 0.840340 0.836820 0.833330 0.829880 0.826450 0.823050 0.819670 0.816330 0.813010 0.809720 0.806450 0.803210 0.800000 0.796810 0.793650 0.790510 0.78740002 1.556018 1.546501 1.537088 1.527778 1.518569 1.509460 1.500449 1.491535 1.482716 1.473990 1.465358 1.456816 1.448364 1.440000 1.431723 1.423532 1.415426 1.40740303 2.156978 2.139917 2.123086 2.106481 2.090099 2.073934 2.057983 2.042241 2.026707 2.011374 1.996241 1.981303 1.966557 1.952000 1.937628 1.923438 1.909428 1.89559304 2.664116 2.638586 2.613461 2.588735 2.564397 2.540441 2.516858 2.493641 2.470781 2.448272 2.426106 2.404277 2.382777 2.361600 2.340740 2.320189 2.299943 2.27999405 3.092081 3.057635 3.023817 2.990612 2.958006 2.925984 2.894533 2.863640 2.833291 2.803473 2.774175 2.745384 2.717090 2.689280 2.661944 2.635071 2.608650 2.58267306 3.453233 3.409777 3.367211 3.325510 3.284652 3.244615 3.205377 3.166918 3.129217 3.092254 3.056012 3.020471 2.985614 2.951424 2.917884 2.884977 2.852688 2.82100207 3.758003 3.705695 3.654570 3.604592 3.555728 3.507946 3.461216 3.415506 3.370789 3.327036 3.284220 3.242316 3.201297 3.161139 3.121820 3.083315 3.045603 3.00866308 4.015192 3.954366 3.895037 3.837160 3.780687 3.725576 3.671783 3.619268 3.567991 3.517916 3.469004 3.421222 3.374535 3.328911 3.284318 3.240726 3.198105 3.15642809 4.232230 4.163332 4.096266 4.030967 3.967375 3.905434 3.845089 3.786285 3.728972 3.673102 3.618627 3.565502 3.513683 3.463129 3.413800 3.365656 3.318660 3.27277810 4.415384 4.338935 4.264657 4.192472 4.122303 4.054078 3.987727 3.923184 3.860386 3.799270 3.739779 3.681856 3.625448 3.570503 3.516972 3.464806 3.413961 3.36439211 4.569944 4.486500 4.405571 4.327060 4.250874 4.176924 4.105125 4.035397 3.967662 3.901846 3.837878 3.775691 3.715220 3.656403 3.599181 3.543497 3.489297 3.43652912 4.700375 4.610504 4.523490 4.439217 4.357572 4.278450 4.201749 4.127375 4.055234 3.985240 3.917310 3.851363 3.787325 3.725122 3.664686 3.605950 3.548851 3.49333013 4.810443 4.714709 4.622168 4.532681 4.446118 4.362355 4.281275 4.202766 4.126722 4.053041 3.981627 3.912390 3.845241 3.780098 3.716881 3.655516 3.595930 3.53805514 4.903327 4.802277 4.704743 4.610567 4.519600 4.431698 4.346728 4.264562 4.185079 4.108163 4.033706 3.961605 3.891760 3.824078 3.758471 3.694854 3.633146 3.57327215 4.981711 4.875863 4.773843 4.675473 4.580581 4.489007 4.400600 4.315215 4.232717 4.152978 4.075876 4.001294 3.929124 3.859263 3.791610 3.726074 3.662566 3.60100116 5.047857 4.937700 4.831668 4.729561 4.631187 4.536369 4.444938 4.356734 4.271606 4.189413 4.110021 4.033302 3.959136 3.887410 3.818016 3.750853 3.685823 3.62283617 5.103677 4.989664 4.880057 4.774634 4.673184 4.575512 4.481430 4.390765 4.303352 4.219035 4.137669 4.059114 3.983242 3.909928 3.839057 3.770518 3.704208 3.64002818 5.150782 5.033331 4.920550 4.812195 4.708037 4.607861 4.511465 4.418660 4.329267 4.243118 4.160056 4.079931 4.002604 3.927942 3.855822 3.786125 3.718741 3.65356519 5.190534 5.070026 4.954435 4.843496 4.736960 4.634596 4.536185 4.441525 4.350422 4.262698 4.178183 4.096718 4.018156 3.942354 3.869181 3.798512 3.730230 3.66422520 5.224079 5.100862 4.982791 4.869580 4.760963 4.656691 4.556531 4.460266 4.367691 4.278616 4.192860 4.110257 4.030647 3.953883 3.879825 3.808343 3.739313 3.67261821 5.252387 5.126775 5.006519 4.891316 4.780882 4.674951 4.573277 4.475628 4.381789 4.291558 4.204745 4.121175 4.040680 3.963107 3.888307 3.816145 3.746492 3.67922722 5.276276 5.148550 5.026376 4.909430 4.797412 4.690042 4.587059 4.488220 4.393297 4.302079 4.214369 4.129980 4.048739 3.970485 3.895065 3.822338 3.752168 3.68443023 5.296436 5.166849 5.042993 4.924525 4.811131 4.702514 4.598403 4.498541 4.402691 4.310634 4.222161 4.137080 4.055212 3.976388 3.900451 3.827252 3.756654 3.68852824 5.313448 5.182226 5.056898 4.937104 4.822515 4.712822 4.607739 4.507001 4.410360 4.317588 4.228470 4.142807 4.060411 3.981111 3.904741 3.831152 3.760201 3.69175425 5.327804 5.195148 5.068534 4.947587 4.831963 4.721340 4.615423 4.513935 4.416621 4.323243 4.233579 4.147425 4.064588 3.984888 3.908161 3.834248 3.763005 3.69429526 5.339919 5.206007 5.078271 4.956323 4.839803 4.728380 4.621747 4.519619 4.421731 4.327839 4.237716 4.151149 4.067942 3.987911 3.910885 3.836705 3.765221 3.69629527 5.350143 5.215132 5.086419 4.963602 4.846310 4.734199 4.626952 4.524278 4.425903 4.331577 4.241066 4.154152 4.070636 3.990329 3.913056 3.838655 3.766973 3.69787028 5.358770 5.222800 5.093238 4.969668 4.851709 4.739007 4.631237 4.528096 4.429309 4.334615 4.243778 4.156575 4.072800 3.992263 3.914785 3.840202 3.768358 3.69911029 5.366051 5.229243 5.098944 4.974724 4.856190 4.742981 4.634763 4.531227 4.432089 4.337086 4.245974 4.158528 4.074538 3.993810 3.916164 3.841430 3.769453 3.70008730 5.372195 5.234658 5.103719 4.978936 4.859909 4.746265 4.637665 4.533792 4.434358 4.339094 4.247752 4.160103 4.075934 3.995048 3.917262 3.842405 3.770319 3.70085631 5.377380 5.239209 5.107714 4.982447 4.862995 4.748980 4.640053 4.535895 4.436211 4.340727 4.249192 4.161373 4.077056 3.996039 3.918137 3.843178 3.771003 3.70146132 5.381755 5.243033 5.111058 4.985372 4.865556 4.751223 4.642019 4.537619 4.437723 4.342054 4.250358 4.162398 4.077956 3.996831 3.918834 3.843792 3.771544 3.70193833 5.385447 5.246246 5.113856 4.987810 4.867681 4.753077 4.643637 4.539032 4.438958 4.343134 4.251302 4.163224 4.078680 3.997465 3.919390 3.844280 3.771971 3.70231334 5.388563 5.248946 5.116198 4.989842 4.869445 4.754609 4.644969 4.540190 4.439965 4.344011 4.252066 4.163890 4.079261 3.997972 3.919833 3.844666 3.772309 3.70260935 5.391192 5.251215 5.118157 4.991535 4.870909 4.755875 4.646065 4.541140 4.440788 4.344724 4.252685 4.164428 4.079728 3.998377 3.920185 3.844973 3.772577 3.70284236 5.393411 5.253122 5.119797 4.992946 4.872123 4.756922 4.646967 4.541918 4.441460 4.345304 4.253186 4.164861 4.080102 3.998702 3.920466 3.845217 3.772788 3.703025

n. . . i 27.50% 28.00% 28.50% 29.00% 29.50% 30.00% 30.50% 31.00% 31.50% 32.00% 32.50% 33.00% 33.50% 34.00% 34.50% 35.00% 35.50% 36.00%

01 0.784310 0.781250 0.778210 0.775190 0.772200 0.769230 0.766280 0.763360 0.760460 0.757580 0.754720 0.751880 0.749060 0.746270 0.743490 0.740740 0.738010 0.73529002 1.399462 1.391602 1.383821 1.376119 1.368495 1.360947 1.353474 1.346075 1.338750 1.331497 1.324315 1.317203 1.310160 1.303186 1.296278 1.289438 1.282662 1.27595203 1.881931 1.868439 1.855114 1.841953 1.828954 1.816113 1.803428 1.790897 1.778517 1.766285 1.754200 1.742258 1.730457 1.718795 1.707270 1.695880 1.684622 1.67349404 2.260338 2.240968 2.221878 2.203064 2.184520 2.166241 2.148221 2.130456 2.112941 2.095671 2.078641 2.061848 2.045286 2.028952 2.012840 1.996948 1.981271 1.96580405 2.557128 2.532006 2.507298 2.482996 2.459089 2.435570 2.412430 2.389661 2.367255 2.345205 2.323503 2.302141 2.281113 2.260412 2.240030 2.219961 2.200200 2.18073806 2.789904 2.759380 2.729415 2.699997 2.671111 2.642746 2.614889 2.587527 2.560650 2.534246 2.508304 2.482813 2.457763 2.433143 2.408944 2.385157 2.361771 2.33877807 2.972474 2.937015 2.902269 2.868214 2.834835 2.802112 2.770030 2.738571 2.707719 2.677459 2.647777 2.618656 2.590084 2.562047 2.534531 2.507523 2.481012 2.45498408 3.115666 3.075793 3.036785 2.998616 2.961262 2.924702 2.888912 2.853871 2.819558 2.785954 2.753039 2.720794 2.689202 2.658244 2.627904 2.598165 2.569012 2.54042909 3.227973 3.184214 3.141467 3.099702 3.058890 3.019001 2.980009 2.941886 2.904607 2.868147 2.832482 2.797590 2.763447 2.730033 2.697326 2.665308 2.633957 2.60325710 3.316057 3.268917 3.222931 3.178064 3.134278 3.091539 3.049815 3.009073 2.969283 2.930414 2.892439 2.855331 2.819061 2.783607 2.748942 2.715043 2.681887 2.64945411 3.385143 3.335091 3.286328 3.238809 3.192493 3.147338 3.103307 3.060361 3.018466 2.977587 2.937690 2.898745 2.860720 2.823587 2.787317 2.751884 2.717260 2.68342212 3.439328 3.386790 3.335664 3.285899 3.237446 3.190260 3.144296 3.099512 3.055868 3.013323 2.971842 2.931387 2.891925 2.853423 2.815849 2.779173 2.743365 2.70839813 3.481826 3.427180 3.374057 3.322402 3.272159 3.223277 3.175706 3.129399 3.084310 3.040396 2.997616 2.955930 2.915300 2.875689 2.837063 2.799387 2.762631 2.72676414 3.515157 3.458734 3.403936 3.350699 3.298965 3.248675 3.199775 3.152213 3.105939 3.060906 3.017069 2.974384 2.932809 2.892305 2.852835 2.814361 2.776850 2.74026715 3.541300 3.483386 3.427187 3.372635 3.319664 3.268211 3.218218 3.169628 3.122387 3.076444 3.031750 2.988258 2.945924 2.904705 2.864561 2.825453 2.787343 2.75019716 3.561804 3.502645 3.445282 3.389640 3.335648 3.283239 3.232351 3.182922 3.134895 3.088215 3.042830 2.998690 2.955748 2.913959 2.873280 2.833669 2.795087 2.75749717 3.577885 3.517692 3.459363 3.402821 3.347990 3.294800 3.243181 3.193070 3.144407 3.097133 3.051193 3.006534 2.963107 2.920865 2.879762 2.839755 2.800802 2.76286618 3.590498 3.529447 3.470322 3.413040 3.357522 3.303692 3.251480 3.200817 3.151640 3.103888 3.057504 3.012432 2.968620 2.926019 2.884581 2.844263 2.805020 2.76681319 3.600391 3.538630 3.478850 3.420961 3.364882 3.310532 3.257839 3.206731 3.157141 3.109006 3.062267 3.016866 2.972749 2.929865 2.888165 2.847602 2.808133 2.76971520 3.608150 3.545805 3.485486 3.427102 3.370565 3.315794 3.262712 3.211245 3.161324 3.112884 3.065862 3.020200 2.975842 2.932735 2.890829 2.850076 2.810430 2.77185021 3.614235 3.551410 3.490651 3.431862 3.374954 3.319842 3.266446 3.214691 3.164505 3.115821 3.068575 3.022707 2.978159 2.934877 2.892809 2.851908 2.812126 2.77341922 3.619008 3.555789 3.494670 3.435552 3.378343 3.322955 3.269307 3.217321 3.166924 3.118046 3.070623 3.024592 2.979894 2.936475 2.894282 2.853265 2.813377 2.77457323 3.622751 3.559210 3.497797 3.438412 3.380959 3.325350 3.271500 3.219329 3.168763 3.119732 3.072168 3.026009 2.981194 2.937668 2.895377 2.854270 2.814300 2.77542124 3.625687 3.561883 3.500231 3.440630 3.382980 3.327192 3.273180 3.220862 3.170162 3.121009 3.073334 3.027074 2.982168 2.938558 2.896191 2.855015 2.814982 2.77604525 3.627990 3.563971 3.502126 3.442349 3.384541 3.328609 3.274467 3.222032 3.171226 3.121977 3.074215 3.027875 2.982897 2.939223 2.896796 2.855567 2.815485 2.77650426 3.629796 3.565602 3.503600 3.443681 3.385746 3.329700 3.275454 3.222925 3.172035 3.122710 3.074879 3.028478 2.983444 2.939718 2.897246 2.855975 2.815856 2.77684127 3.631213 3.566877 3.504747 3.444714 3.386676 3.330538 3.276210 3.223607 3.172650 3.123265 3.075380 3.028931 2.983853 2.940088 2.897581 2.856278 2.816130 2.77708928 3.632324 3.567873 3.505640 3.445515 3.387395 3.331183 3.276789 3.224127 3.173118 3.123685 3.075759 3.029271 2.984160 2.940364 2.897830 2.856502 2.816332 2.77727129 3.633195 3.568650 3.506334 3.446135 3.387950 3.331679 3.277233 3.224525 3.173474 3.124004 3.076044 3.029527 2.984389 2.940570 2.898015 2.856668 2.816481 2.77740530 3.633878 3.569258 3.506875 3.446617 3.388378 3.332061 3.277573 3.224828 3.173744 3.124246 3.076260 3.029720 2.984561 2.940724 2.898152 2.856791 2.816591 2.777504

Page 11: Matemática financeira   6 tabelas financeiras de alto nível - by prof. shibata - ufmt

Tabelas Financeiras 1

M A N T I S S A S

N 0 1 2 3 4 5 6 7 8 910 000000000 004321374 008600172 012837225 017033339 021189299 025305865 029383778 033423755 03742649811 041392685 045322979 049218023 053078443 056904851 060697840 064457989 068185862 071882007 07554696112 079181246 082785370 086359831 089905111 093421685 096910013 100370545 103803721 107209970 11058971013 113943352 117271296 120573931 123851641 127104798 130333768 133538908 136720567 139879086 14301480014 146128036 149219113 152288344 155336037 158362492 161368002 164352856 167317335 170261715 17318626815 176091259 178976947 181843588 184691431 187520721 190331698 193124598 195899652 198657087 20139712416 204119983 206825876 209515015 212187604 214843848 217483944 220108088 222716471 225309282 22788670517 230448921 232996110 235528447 238046103 240549248 243038049 245512668 247973266 250420002 25285303118 255272505 257678575 260071388 262451090 264817823 267171728 269512944 271841607 274157849 27646180419 278753601 281033367 283301229 285557309 287801730 290034611 292256071 294466226 296665190 29885307620 301029996 303196057 305351369 307496038 309630167 311753861 313867220 315970345 318063335 32014628621 322219295 324282455 326335861 328379603 330413773 332438460 334453751 336459734 338456494 34044411522 342422681 344392274 346352974 348304863 350248018 352182518 354108439 356025857 357934847 35983548223 361727836 363611980 365487985 367355921 369215857 371067862 372912003 374748346 376576957 37839790124 380211242 382017043 383815366 385606274 387389826 389166084 390935107 392696953 394451681 39619934725 397940009 399673721 401400541 403120521 404833717 406540180 408239965 409933123 411619706 41329976426 414973348 416640507 418301291 419955748 421603927 423245874 424881637 426511261 428134794 42975228027 431363764 432969291 434568904 436162647 437750563 439332694 440909082 442479769 444044796 44560420328 447158031 448706320 450249108 451786436 453318340 454844860 456366033 457881897 459392488 46089784329 462397998 463892989 465382851 466867620 468347330 469822016 471291711 472756449 474216264 47567118830 477121255 478566496 480006943 481442629 482873584 484299839 485721426 487138375 488550717 48995847931 491361694 492760389 494154594 495544338 496929648 498310554 499687083 501059262 502427120 50379068332 505149978 506505032 507855872 509202522 510545010 511883361 513217600 514547753 515873844 51719589833 518513940 519827994 521138084 522444234 523746467 525044807 526339277 527629901 528916700 53019969834 531478917 532754379 534026106 535294120 536558443 537819095 539076099 540329475 541579244 54282542735 544068044 545307116 546542663 547774705 549003262 550228353 551449998 552668216 553883027 55509444936 556302501 557507202 558708571 559906625 561101384 562292864 563481085 564666064 565847819 56702636637 568201724 569373910 570542940 571708832 572871602 574031268 575187845 576341350 577491800 57863921038 579783597 580924976 582063363 583198774 584331224 585460730 586587305 587710965 588831726 58994960139 591064607 592176757 593286067 594392550 595496222 596597096 597695186 598790507 599883072 60097289640 602059991 603144373 604226053 605305046 606381365 607455023 608526034 609594409 610660163 61172330841 612783857 613841822 614897216 615950052 617000341 618048097 619093331 620136055 621176282 62221402342 623249290 624282096 625312451 626340367 627365857 628388930 629409599 630427875 631443769 63245729243 633468456 634477270 635483747 636487896 637489730 638489257 639486489 640481437 641474111 64246452044 643452676 644438589 645422269 646403726 647382970 648360011 649334859 650307523 651278014 65224634145 653212514 654176542 655138435 656098202 657055853 658011397 658964843 659916200 660865478 66181268646 662757832 663700925 664641976 665580991 666517981 667452953 668385917 669316881 670245853 67117284347 672097858 673020907 673941999 674861141 675778342 676693610 677606953 678518379 679427897 68033551348 681241237 682145076 683047038 683947131 684845362 685741739 686636269 687528961 688419822 68930885949 690196080 691081492 691965103 692846919 693726949 694605199 695481676 696356389 697229343 69810054650 698970004 699837726 700703717 701567985 702430536 703291378 704150517 705007959 705863712 70671778251 707570176 708420900 709269961 710117365 710963119 711807229 712649702 713490543 714329760 71516735852 716003344 716837723 717670503 718501689 719331287 720159303 720985744 721810615 722633923 72345567253 724275870 725094521 725911632 726727209 727541257 728353782 729164790 729974286 730782276 73158876554 732393760 733197265 733999287 734799830 735598900 736396502 737192643 737987326 738780558 73957234455 740362689 741151599 741939078 742725131 743509765 744292983 745074792 745855195 746634199 74741180856 748188027 748962861 749736316 750508395 751279104 752048448 752816431 753583059 754348336 75511226657 755874856 756636108 757396029 758154622 758911892 759667845 760422483 761175813 761927838 76267856458 763427994 764176132 764922985 765668555 766412847 767155866 767897616 768638101 769377326 77011529559 770852012 771587481 772321707 773054693 773786445 774516966 775246260 775974331 776701184 77742682260 778151250 778874472 779596491 780317312 781036939 781755375 782472624 783188691 783903579 78461729361 785329835 786041210 786751422 787460475 788168371 788875116 789580712 790285164 790988475 79169064962 792391689 793091600 793790385 794488047 795184590 795880017 796574333 797267541 797959644 79865064563 799340549 800029359 800717078 801403710 802089258 802773725 803457116 804139432 804820679 80550085864 806179974 806858030 807535028 808210973 808885867 809559715 810232518 810904281 811575006 81224469765 812913357 813580989 814247596 814913181 815577748 816241300 816903839 817565370 818225894 81888541566 819543936 820201459 820857989 821513528 822168079 822821645 823474229 824125834 824776462 82542611867 826074803 826722520 827369273 828015064 828659897 829303773 829946696 830588669 831229694 83186977468 832508913 833147112 833784375 834420704 835056102 835690571 836324116 836956737 837588438 83821922269 838849091 839478047 840106094 840733235 841359470 841984805 842609240 843232778 843855423 84447717670 845098040 845718018 846337112 846955325 847572659 848189117 848804701 849419414 850033258 85064623571 851258349 851869601 852479994 853089530 853698212 854306042 854913022 855519156 856124444 85672889072 857332496 857935265 858537198 859138297 859738566 860338007 860936621 861534411 862131379 86272752873 863322860 863917377 864511081 865103975 865696060 866287339 866877814 867467488 868056362 86864443874 869231720 869818208 870403905 870988814 871572936 872156273 872738827 873320602 873901598 87448181875 875061263 875639937 876217841 876794976 877371346 877946952 878521796 879095880 879669206 88024177676 880813592 881384657 881954971 882524538 883093359 883661435 884228770 884795364 885361220 88592634077 886490725 887054378 887617300 888179494 888740961 889301703 889861721 890421019 890979597 89153745878 892094603 892651034 893206753 893761762 894316063 894869657 895422546 895974732 896526217 89707700379 897627091 898176483 898725182 899273187 899820502 900367129 900913068 901458321 902002891 90254677980 903089987 903632516 904174368 904715545 905256049 905795880 906335042 906873535 907411361 90794852281 908485019 909020854 909556029 910090546 910624405 911157609 911690159 912222057 912753304 91328390282 913813852 914343157 914871818 915399835 915927212 916453949 916980047 917505510 918030337 91855453183 919078092 919601024 920123326 920645001 921166051 921686475 922206277 922725458 923244019 92376196184 924279286 924795996 925312091 925827575 926342447 926856709 927370363 927883410 928395852 92890769085 929418926 929929560 930439595 930949031 931457871 931966115 932473765 932980822 933487288 93399316486 934498451 935003151 935507266 936010796 936513742 937016107 937517892 938019097 938519725 93901977687 939519253 940018155 940516485 941014244 941511433 942008053 942504106 942999593 943494516 94398887588 944482672 944975908 945468585 945960704 946452265 946943271 947433722 947923620 948412966 94890176189 949390007 949877704 950364854 950851459 951337519 951823035 952308010 952792443 953276337 95375969290 954242509 954724791 955206538 955687750 956168430 956648579 957128198 957607287 958085849 95856388391 959041392 959518377 959994838 960470778 960946196 961421094 961895474 962369336 962842681 96331551192 963787827 964259630 964730921 965201701 965671971 966141733 966610987 967079734 967547976 96801571493 968482949 968949681 969415912 969881644 970346876 970811611 971275849 971739591 972202838 97266559294 973127854 973589623 974050903 974511693 974971994 975431809 975891136 976349979 976808337 97726621295 977723605 978180517 978636948 979092901 979548375 980003372 980457892 980911938 981365509 98181860796 982271233 982723388 983175072 983626287 984077034 984527313 984977126 985426474 985875357 98632377797 986771734 987219230 987666265 988112840 988558957 989004616 989449818 989894564 990338855 99078269298 991226076 991669007 992111488 992553518 992995098 993436230 993876915 994317153 994756945 99519629299 995635195 996073654 996511672 996949248 997386384 997823081 998259338 998695158 999130541 999565488N 0 1 2 3 4 5 6 7 8 9