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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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12y ago

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Q: How was the equation of compound interest created?
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