Future Value of $100 at 5% annual interest compounded for various periods |
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A(0)= $100 |
r=.05 |
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S= number of compounding periods per
year |
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Future value of account
after N years with interest r compounded S times a year is
A(N)=A(0)*(1+r/S)^(SN) |
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S= |
annually |
semiannually |
quarterly |
monthly |
daily |
hourly |
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continuously |
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Number
of years N |
1 |
2 |
4 |
12 |
365 |
8760 |
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Continuous Compounding:
A(N)=A(0)*e^(rN) |
0 |
|
$ 100.00 |
$ 100.00 |
$ 100.00 |
$ 100.00 |
$ 100.00 |
$ 100.00 |
|
$ 100.00 |
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1 |
|
$
105.00 |
$
105.06 |
$ 105.09 |
$ 105.12 |
$ 105.13 |
$ 105.13 |
|
$ 105.13 |
|
2 |
|
$
110.25 |
$
110.38 |
$ 110.45 |
$ 110.49 |
$ 110.52 |
$ 110.52 |
|
$ 110.52 |
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3 |
|
$
115.76 |
$
115.97 |
$ 116.08 |
$ 116.15 |
$ 116.18 |
$ 116.18 |
|
$ 116.18 |
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4 |
|
$
121.55 |
$
121.84 |
$ 121.99 |
$ 122.09 |
$ 122.14 |
$ 122.14 |
|
$ 122.14 |
|
5 |
|
$
127.63 |
$
128.01 |
$ 128.20 |
$ 128.34 |
$ 128.40 |
$ 128.40 |
|
$ 128.40 |
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6 |
|
$
134.01 |
$
134.49 |
$ 134.74 |
$ 134.90 |
$ 134.98 |
$ 134.99 |
|
$ 134.99 |
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7 |
|
$
140.71 |
$
141.30 |
$ 141.60 |
$ 141.80 |
$ 141.90 |
$ 141.91 |
|
$ 141.91 |
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8 |
|
$
147.75 |
$
148.45 |
$ 148.81 |
$ 149.06 |
$ 149.18 |
$ 149.18 |
|
$ 149.18 |
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9 |
|
$
155.13 |
$
155.97 |
$ 156.39 |
$ 156.68 |
$ 156.83 |
$ 156.83 |
|
$ 156.83 |
|
10 |
|
$
162.89 |
$
163.86 |
$ 164.36 |
$ 164.70 |
$ 164.87 |
$ 164.87 |
|
$ 164.87 |
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11 |
|
$
171.03 |
$
172.16 |
$ 172.74 |
$ 173.13 |
$ 173.32 |
$ 173.33 |
|
$ 173.33 |
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12 |
|
$
179.59 |
$
180.87 |
$ 181.54 |
$ 181.98 |
$ 182.20 |
$ 182.21 |
|
$ 182.21 |
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13 |
|
$
188.56 |
$
190.03 |
$ 190.78 |
$ 191.30 |
$ 191.55 |
$ 191.55 |
|
$ 191.55 |
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14 |
|
$
197.99 |
$
199.65 |
$ 200.50 |
$ 201.08 |
$ 201.37 |
$ 201.37 |
|
$ 201.38 |
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15 |
|
$
207.89 |
$
209.76 |
$ 210.72 |
$ 211.37 |
$ 211.69 |
$ 211.70 |
|
$ 211.70 |
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16 |
|
$
218.29 |
$
220.38 |
$ 221.45 |
$ 222.18 |
$ 222.54 |
$ 222.55 |
|
$ 222.55 |
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17 |
|
$
229.20 |
$
231.53 |
$ 232.74 |
$ 233.55 |
$ 233.95 |
$ 233.96 |
|
$ 233.96 |
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18 |
|
$
240.66 |
$
243.25 |
$ 244.59 |
$ 245.50 |
$ 245.95 |
$ 245.96 |
|
$ 245.96 |
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19 |
|
$
252.70 |
$
255.57 |
$ 257.05 |
$ 258.06 |
$ 258.55 |
$ 258.57 |
|
$ 258.57 |
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20 |
|
$
265.33 |
$
268.51 |
$ 270.15 |
$ 271.26 |
$ 271.81 |
$ 271.83 |
|
$ 271.83 |
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21 |
|
$
278.60 |
$
282.10 |
$ 283.91 |
$ 285.14 |
$ 285.74 |
$ 285.76 |
|
$ 285.77 |
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