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2008年9月9日火曜日

500円玉貯金で複利計算

貯金箱所有者の内、500円玉貯金は4割 - アイシェア リサーチ

500円玉貯金が(少なくとも48人の間で)流行っているようです。500円硬貨って大きさも厚さも重さもあっていかにも「お金」って感じしますもんね。

Lifehack的に毎日500円玉を貯金すればきっと大金持ちになるはず!

もちろん貯金箱に入れても入れた分以外は増えることがないので、(ささやかな利息がつく)銀行口座に貯金すると良いと思います。



複利計算の参考:3分LifeHacking:複利計算を“暗算”で行う - ITmedia Biz.ID

500円玉を毎日貯金していくといくらかになるのか



1日あたり貯金する金額(A):¥500

年利(r):0.74%(eBANKの定期預金金利より



金利は金額によって変わるらしいのでそれも再現しようかと思ったけどめんどくさいからやめました

あとeBANKは硬貨の入金を受け付けてないという意見は聞き入れません。



複利計算式=A*(365*303+366*97)/400*(1+r)^N

(1年あたりの貯金額の精度をやたらと上げていますが、酔狂です)





































年数(貯金N年目)貯金1年目の元本の利息貯金し続けた場合の合計貯金額
1¥183,972.65¥183,972.65
2¥185,334.04¥369,306.69
3¥186,705.52¥556,012.21
4¥188,087.14¥744,099.35
5¥189,478.98¥933,578.33
6¥190,881.13¥1,124,459.46
7¥192,293.65¥1,316,753.10
8¥193,716.62¥1,510,469.72
9¥195,150.12¥1,705,619.85
10¥196,594.23¥1,902,214.08
11¥198,049.03¥2,100,263.11
12¥199,514.59¥2,299,777.71
13¥200,991.00¥2,500,768.71
14¥202,478.34¥2,703,247.04
15¥203,976.68¥2,907,223.72
16¥205,486.10¥3,112,709.82
17¥207,006.70¥3,319,716.52
18¥208,538.55¥3,528,255.07
19¥210,081.73¥3,738,336.81
20¥211,636.34¥3,949,973.15
21¥213,202.45¥4,163,175.59
22¥214,780.15¥4,377,955.74
23¥216,369.52¥4,594,325.26
24¥217,970.65¥4,812,295.92
25¥219,583.64¥5,031,879.55
26¥221,208.56¥5,253,088.11
27¥222,845.50¥5,475,933.61
28¥224,494.56¥5,700,428.16
29¥226,155.82¥5,926,583.98
30¥227,829.37¥6,154,413.35
31¥229,515.31¥6,383,928.65
32¥231,213.72¥6,615,142.37
33¥232,924.70¥6,848,067.07
34¥234,648.34¥7,082,715.42
35¥236,384.74¥7,319,100.16



6年で100万円、16年で300万円、25年で500万円を貯めることができます。

貯金を元本として運用


複利計算式={A*(365*303+366*97)/400*(1+r)^N}*(1+r)^n





































年数(貯金N年目)\年数(運用n年目)12345678910
1¥185,334.04¥186,705.52¥188,087.14¥189,478.98¥190,881.13¥192,293.65¥193,716.62¥195,150.12¥196,594.23¥198,049.03
2¥372,039.56¥374,792.65¥377,566.12¥380,360.11¥383,174.77¥386,010.27¥388,866.74¥391,744.36¥394,643.27¥397,563.63
3¥560,126.70¥564,271.64¥568,447.25¥572,653.76¥576,891.39¥581,160.39¥585,460.98¥589,793.39¥594,157.86¥598,554.63
4¥749,605.68¥755,152.76¥760,740.89¥766,370.38¥772,041.52¥777,754.62¥783,510.01¥789,307.98¥795,148.86¥801,032.96
5¥940,486.81¥947,446.41¥954,457.51¥961,520.50¥968,635.75¥975,803.66¥983,024.60¥990,298.99¥997,627.20¥1,005,009.64
6¥1,132,780.46¥1,141,163.03¥1,149,607.64¥1,158,114.73¥1,166,684.78¥1,175,318.25¥1,184,015.61¥1,192,777.32¥1,201,603.87¥1,210,495.74
7¥1,326,497.08¥1,336,313.15¥1,346,201.87¥1,356,163.77¥1,366,199.38¥1,376,309.25¥1,386,493.94¥1,396,754.00¥1,407,089.98¥1,417,502.44
8¥1,521,647.20¥1,532,907.39¥1,544,250.90¥1,555,678.36¥1,567,190.38¥1,578,787.59¥1,590,470.62¥1,602,240.10¥1,614,096.68¥1,626,040.99
9¥1,718,241.43¥1,730,956.42¥1,743,765.50¥1,756,669.36¥1,769,668.72¥1,782,764.26¥1,795,956.72¥1,809,246.80¥1,822,635.23¥1,836,122.73
10¥1,916,290.46¥1,930,471.01¥1,944,756.50¥1,959,147.70¥1,973,645.39¥1,988,250.37¥2,002,963.42¥2,017,785.35¥2,032,716.96¥2,047,759.07
11¥2,115,805.06¥2,131,462.02¥2,147,234.84¥2,163,124.37¥2,179,131.49¥2,195,257.07¥2,211,501.97¥2,227,867.08¥2,244,353.30¥2,260,961.51
12¥2,316,796.06¥2,333,940.35¥2,351,211.51¥2,368,610.48¥2,386,138.19¥2,403,795.62¥2,421,583.70¥2,439,503.42¥2,457,555.75¥2,475,741.66
13¥2,519,274.40¥2,537,917.03¥2,556,697.61¥2,575,617.18¥2,594,676.74¥2,613,877.35¥2,633,220.04¥2,652,705.87¥2,672,335.89¥2,692,111.18
14¥2,723,251.07¥2,743,403.13¥2,763,704.31¥2,784,155.73¥2,804,758.48¥2,825,513.69¥2,846,422.49¥2,867,486.02¥2,888,705.41¥2,910,081.83
15¥2,928,737.18¥2,950,409.83¥2,972,242.86¥2,994,237.46¥3,016,394.82¥3,038,716.14¥3,061,202.64¥3,083,855.54¥3,106,676.07¥3,129,665.47
16¥3,135,743.88¥3,158,948.38¥3,182,324.60¥3,205,873.80¥3,229,597.27¥3,253,496.29¥3,277,572.16¥3,301,826.19¥3,326,259.71¥3,350,874.03
17¥3,344,282.42¥3,369,030.11¥3,393,960.94¥3,419,076.25¥3,444,377.41¥3,469,865.81¥3,495,542.81¥3,521,409.83¥3,547,468.26¥3,573,719.53
18¥3,554,364.16¥3,580,666.45¥3,607,163.39¥3,633,856.39¥3,660,746.93¥3,687,836.46¥3,715,126.45¥3,742,618.39¥3,770,313.76¥3,798,214.08
19¥3,766,000.50¥3,793,868.90¥3,821,943.53¥3,850,225.91¥3,878,717.59¥3,907,420.10¥3,936,335.01¥3,965,463.88¥3,994,808.32¥4,024,369.90
20¥3,979,202.95¥4,008,649.05¥4,038,313.05¥4,068,196.57¥4,098,301.22¥4,128,628.65¥4,159,180.50¥4,189,958.44¥4,220,964.13¥4,252,199.27
21¥4,193,983.09¥4,225,018.57¥4,256,283.71¥4,287,780.21¥4,319,509.78¥4,351,474.15¥4,383,675.06¥4,416,114.26¥4,448,793.50¥4,481,714.57
22¥4,410,352.61¥4,442,989.22¥4,475,867.34¥4,508,988.76¥4,542,355.28¥4,575,968.71¥4,609,830.88¥4,643,943.62¥4,678,308.81¥4,712,928.29
23¥4,628,323.27¥4,662,572.86¥4,697,075.90¥4,731,834.26¥4,766,849.83¥4,802,124.52¥4,837,660.24¥4,873,458.93¥4,909,522.53¥4,945,852.99
24¥4,847,906.91¥4,883,781.42¥4,919,921.40¥4,956,328.82¥4,993,005.65¥5,029,953.89¥5,067,175.55¥5,104,672.65¥5,142,447.23¥5,180,501.34
25¥5,069,115.46¥5,106,626.92¥5,144,415.95¥5,182,484.63¥5,220,835.02¥5,259,469.20¥5,298,389.27¥5,337,597.35¥5,377,095.57¥5,416,886.08
26¥5,291,960.96¥5,331,121.47¥5,370,571.77¥5,410,314.00¥5,450,350.32¥5,490,682.92¥5,531,313.97¥5,572,245.69¥5,613,480.31¥5,655,020.07
27¥5,516,455.52¥5,557,277.29¥5,598,401.14¥5,639,829.31¥5,681,564.04¥5,723,607.62¥5,765,962.31¥5,808,630.44¥5,851,614.30¥5,894,916.25
28¥5,742,611.33¥5,785,106.66¥5,827,916.44¥5,871,043.03¥5,914,488.75¥5,958,255.96¥6,002,347.06¥6,046,764.42¥6,091,510.48¥6,136,587.66
29¥5,970,440.70¥6,014,621.96¥6,059,130.16¥6,103,967.73¥6,149,137.09¥6,194,640.70¥6,240,481.04¥6,286,660.60¥6,333,181.89¥6,380,047.44
30¥6,199,956.01¥6,245,835.68¥6,292,054.87¥6,338,616.07¥6,385,521.83¥6,432,774.69¥6,480,377.22¥6,528,332.02¥6,576,641.67¥6,625,308.82
31¥6,431,169.73¥6,478,760.38¥6,526,703.21¥6,575,000.81¥6,623,655.82¥6,672,670.87¥6,722,048.64¥6,771,791.80¥6,821,903.06¥6,872,385.14
32¥6,664,094.43¥6,713,408.73¥6,763,087.95¥6,813,134.80¥6,863,552.00¥6,914,342.28¥6,965,508.42¥7,017,053.18¥7,068,979.37¥7,121,289.82
33¥6,898,742.77¥6,949,793.47¥7,001,221.94¥7,053,030.98¥7,105,223.41¥7,157,802.06¥7,210,769.80¥7,264,129.50¥7,317,884.05¥7,372,036.40
34¥7,135,127.51¥7,187,927.46¥7,241,118.12¥7,294,702.39¥7,348,683.19¥7,403,063.45¥7,457,846.12¥7,513,034.18¥7,568,630.63¥7,624,638.50
35¥7,373,261.50¥7,427,823.64¥7,482,789.53¥7,538,162.17¥7,593,944.57¥7,650,139.76¥7,706,750.80¥7,763,780.75¥7,821,232.73¥7,879,109.85



例えば20年貯金したから、運用して「利息でちょっぴりリッチな生活」を望んだ場合、¥3,979,202.95-¥3,949,973.15より1年につき¥29,229.8を手に入れることができます。

月2435円程度の金じゃあ大したことないのでお年玉にでもしてくれ。


結論



  • 500円玉貯金も侮れない

  • 金利上げてぇ~

  • お金のことを考えるだけで私の心は豊かになる

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