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Compound Interest

Compound interest is interest calculated on both the original principal and accumulated interest. It works against you on debt and for you on savings/investments.

Definition: Interest calculated on both the original principal amount AND on the accumulated interest from previous periods. Often called "interest on interest." The opposite of simple interest, which is calculated only on the original principal.

How it works

Compound interest is the dominant force in long-term finance — both for and against the saver/borrower. On savings and investments, compound interest grows wealth exponentially over decades. On debt (especially credit cards), compound interest is what makes carrying balances so expensive. The key variable is compounding frequency: daily compounding (most credit cards) accumulates faster than monthly, which beats annual.

Example

Savings example: $10,000 invested at 7% annual return, compounded annually, becomes ~$76,000 after 30 years. The first $10,000 is your original deposit; the remaining $66,000 is compound interest. Debt example: $5,000 credit card balance at 22% APR with daily compounding accumulates ~$92 in interest the first month; if unpaid, that $92 becomes part of next month's interest base.

Comparison + context

Compared to simple interest: Simple interest on $10,000 at 7% for 30 years = $21,000 in interest. Compound interest on the same = $66,000 in interest. The same starting amount, same rate, same time period — compound interest is 3× more powerful. The Rule of 72: Divide 72 by your annual interest rate to estimate years to double. At 7%, money doubles every ~10 years. At 22% (credit card APR), unpaid debt doubles every ~3.3 years.

See also