compound interest

American  

noun

1. interest paid on both the principal and on accrued interest.

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compound interest British  

noun

1. interest calculated on both the principal and its accrued interest Compare simple interest

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compound interest Scientific  

1. Interest computed on the original principal plus any accrued interest. Thus if 5% is the rate of interest per year and the principal is $1000, the compound amount after one year will be $1050, after two years it will be $1050 × 0.05 = $1102.50, after three years it will be $1102.50 × 0.05 = $1157.63, and so forth. Mathematically, if P is the original principal and I the rate of interest expressed as a decimal, the compound amount at the end of the n th year will be P (1 + I) ⁿ. The growth of the compound amount is exponential and not linear.

2. Compare simple interest

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compound interest Cultural  

1. Interest that is added not only to the principal of a loan or savings account but also to the interest already added to the loan or account; interest paid on interest.

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Etymology

Origin of compound interest

First recorded in 1650–60