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18 years. Let us say you deposit $1000 today @ 4% rate of interest compounded annually, you will have $1040 at the end of year 1. Similarly you'll have the following amounts year wise.

1

1040

2

1081.6

3

1124.864

4

1169.859

5

1216.653

6

1265.319

7

1315.932

8

1368.569

9

1423.312

10

1480.244

11

1539.454

12

1601.032

13

1665.074

14

1731.676

15

1800.944

16

1872.981

17

1947.9

18

2025.817

So, at the end of year 18 you will have $2025.817 which is more than double of what you deposited on year 1.

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Q: How long does money in a savings account take to double itselfat 4 percent interest compounded annually?
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