1%の複利(年率)計算~資産は70年かけて2倍になる
1億円の資産を年率1%の口座に預けたとき、資産が2億円になるのは何年後でしょうか?
年率1%として資産の増加具合を表にします。
| 年目 | 資産 |
|---|---|
| 0 | 1 |
| 1 | 1.01 |
| 2 | 1.0201 |
| 3 | 1.030301 |
| 4 | 1.04060401 |
| 5 | 1.05101005 |
| 6 | 1.061520151 |
| 7 | 1.072135352 |
| 8 | 1.082856706 |
| 9 | 1.093685273 |
| 10 | 1.104622125 |
| 11 | 1.115668347 |
| 12 | 1.12682503 |
| 13 | 1.13809328 |
| 14 | 1.149474213 |
| 15 | 1.160968955 |
| 16 | 1.172578645 |
| 17 | 1.184304431 |
| 18 | 1.196147476 |
| 19 | 1.20810895 |
| 20 | 1.22019004 |
| 21 | 1.23239194 |
| 22 | 1.24471586 |
| 23 | 1.257163018 |
| 24 | 1.269734649 |
| 25 | 1.282431995 |
| 26 | 1.295256315 |
| 27 | 1.308208878 |
| 28 | 1.321290967 |
| 29 | 1.334503877 |
| 30 | 1.347848915 |
| 31 | 1.361327404 |
| 32 | 1.374940679 |
| 33 | 1.388690085 |
| 34 | 1.402576986 |
| 35 | 1.416602756 |
| 36 | 1.430768784 |
| 37 | 1.445076471 |
| 38 | 1.459527236 |
| 39 | 1.474122509 |
| 40 | 1.488863734 |
| 41 | 1.503752371 |
| 42 | 1.518789895 |
| 43 | 1.533977794 |
| 44 | 1.549317572 |
| 45 | 1.564810747 |
| 46 | 1.580458855 |
| 47 | 1.596263443 |
| 48 | 1.612226078 |
| 49 | 1.628348338 |
| 50 | 1.644631822 |
| 51 | 1.66107814 |
| 52 | 1.677688921 |
| 53 | 1.694465811 |
| 54 | 1.711410469 |
| 55 | 1.728524573 |
| 56 | 1.745809819 |
| 57 | 1.763267917 |
| 58 | 1.780900597 |
| 59 | 1.798709603 |
| 60 | 1.816696699 |
| 61 | 1.834863666 |
| 62 | 1.853212302 |
| 63 | 1.871744425 |
| 64 | 1.890461869 |
| 65 | 1.909366488 |
| 66 | 1.928460153 |
| 67 | 1.947744755 |
| 68 | 1.967222202 |
| 69 | 1.986894424 |
| 70 | 2.006763368 |
| 71 | 2.026831002 |
| 72 | 2.047099312 |
| 73 | 2.067570305 |
| 74 | 2.088246008 |
| 75 | 2.109128468 |
| 76 | 2.130219753 |
| 77 | 2.151521951 |
| 78 | 2.17303717 |
| 79 | 2.194767542 |
| 80 | 2.216715217 |
| 81 | 2.238882369 |
| 82 | 2.261271193 |
| 83 | 2.283883905 |
| 84 | 2.306722744 |
| 85 | 2.329789971 |
| 86 | 2.353087871 |
| 87 | 2.37661875 |
| 88 | 2.400384937 |
| 89 | 2.424388787 |
| 90 | 2.448632675 |
| 91 | 2.473119001 |
| 92 | 2.497850191 |
| 93 | 2.522828693 |
| 94 | 2.54805698 |
| 95 | 2.57353755 |
| 96 | 2.599272926 |
| 97 | 2.625265655 |
| 98 | 2.651518311 |
| 99 | 2.678033494 |
| 100 | 2.704813829 |
| 101 | 2.731861968 |
| 102 | 2.759180587 |
| 103 | 2.786772393 |
| 104 | 2.814640117 |
| 105 | 2.842786518 |
| 106 | 2.871214384 |
| 107 | 2.899926527 |
| 108 | 2.928925793 |
| 109 | 2.958215051 |
| 110 | 2.987797201 |
| 111 | 3.017675173 |
| 112 | 3.047851925 |
| 113 | 3.078330444 |
| 114 | 3.109113749 |
| 115 | 3.140204886 |
| 116 | 3.171606935 |
| 117 | 3.203323004 |
| 118 | 3.235356234 |
| 119 | 3.267709797 |
| 120 | 3.300386895 |
| 121 | 3.333390764 |
| 122 | 3.366724671 |
| 123 | 3.400391918 |
| 124 | 3.434395837 |
| 125 | 3.468739795 |
| 126 | 3.503427193 |
| 127 | 3.538461465 |
| 128 | 3.57384608 |
| 129 | 3.609584541 |
| 130 | 3.645680386 |
| 131 | 3.68213719 |
| 132 | 3.718958562 |
| 133 | 3.756148148 |
| 134 | 3.793709629 |
| 135 | 3.831646725 |
| 136 | 3.869963193 |
| 137 | 3.908662824 |
| 138 | 3.947749453 |
| 139 | 3.987226947 |
| 140 | 4.027099217 |
| 141 | 4.067370209 |
| 142 | 4.108043911 |
| 143 | 4.14912435 |
| 144 | 4.190615594 |
| 145 | 4.23252175 |
| 146 | 4.274846967 |
| 147 | 4.317595437 |
| 148 | 4.360771391 |
| 149 | 4.404379105 |
| 150 | 4.448422896 |
| 151 | 4.492907125 |
| 152 | 4.537836196 |
| 153 | 4.583214558 |
| 154 | 4.629046704 |
| 155 | 4.675337171 |
| 156 | 4.722090543 |
| 157 | 4.769311448 |
| 158 | 4.817004562 |
| 159 | 4.865174608 |
| 160 | 4.913826354 |
| 161 | 4.962964618 |
| 162 | 5.012594264 |
| 163 | 5.062720206 |
| 164 | 5.113347409 |
| 165 | 5.164480883 |
| 166 | 5.216125691 |
| 167 | 5.268286948 |
| 168 | 5.320969818 |
| 169 | 5.374179516 |
| 170 | 5.427921311 |
| 171 | 5.482200524 |
| 172 | 5.53702253 |
| 173 | 5.592392755 |
| 174 | 5.648316682 |
| 175 | 5.704799849 |
| 176 | 5.761847848 |
| 177 | 5.819466326 |
| 178 | 5.877660989 |
| 179 | 5.936437599 |
| 180 | 5.995801975 |
| 181 | 6.055759995 |
| 182 | 6.116317595 |
| 183 | 6.177480771 |
| 184 | 6.239255579 |
| 185 | 6.301648135 |
| 186 | 6.364664616 |
| 187 | 6.428311262 |
| 188 | 6.492594375 |
| 189 | 6.557520318 |
| 190 | 6.623095522 |
| 191 | 6.689326477 |
| 192 | 6.756219742 |
| 193 | 6.823781939 |
| 194 | 6.892019758 |
| 195 | 6.960939956 |
| 196 | 7.030549355 |
| 197 | 7.100854849 |
| 198 | 7.171863398 |
| 199 | 7.243582032 |
| 200 | 7.316017852 |
70年目に2倍になっています。100年後は3倍もいきませんが、200年後は7倍です。



