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I believe you mean, how is the equation derived. It is actually quite simple. Every time you add (for example) 5%, the capital increases by a factor of 1.05. This factor is calculated as 1 + 5/100, in this example. Multiplying repeatedly by this factor is equivalent to raising the factor to a power. For example, in 4 years, and assuming an initial capital of 1000, you get 1000 x 1.05 x 1.05 x 1.05 x 1.05, which is the same as 1000 x 1.054.

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Q: How was the equation of compound interest created?
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Related questions

What is the equation to find compound interest?

If the rate of annual interest is r% the period is n years and the amount invested is y Then the compound interest is y*(1+r/100)^n - y


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With compound interest, the interest due for any period attracts interest for all subsequent periods. As a result, compound interest, for the same rate, is greater.With compound interest, the interest due for any period attracts interest for all subsequent periods. As a result, compound interest, for the same rate, is greater.With compound interest, the interest due for any period attracts interest for all subsequent periods. As a result, compound interest, for the same rate, is greater.With compound interest, the interest due for any period attracts interest for all subsequent periods. As a result, compound interest, for the same rate, is greater.


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