What is compound interest?
Compound interest is interest calculated on the initial principal and all accumulated interest from previous periods. It causes money to grow at an accelerating rate over time.
How does compounding frequency affect returns?
More frequent compounding leads to higher returns. Daily compounding yields more than monthly, which yields more than yearly, because interest is calculated and added to the balance more often.
What is the difference between simple and compound interest?
Simple interest is calculated only on the principal amount, while compound interest is calculated on the principal plus all previously earned interest, leading to exponential growth.
How much will $10,000 grow in 10 years at 7% compounded monthly?
Using the formula A = P(1+r/n)^(nt), with P=$10,000, r=0.07, n=12, t=10, the result is approximately $20,096.61, meaning you earn $10,096.61 in interest.
Is compound interest always better than simple interest?
For savings and investments, compound interest earns you more over time. For loans, compound interest can cost you more. The longer the time period, the greater the difference.
What is the Rule of 72?
The Rule of 72 is a quick way to estimate how long it takes money to double. Divide 72 by the annual interest rate. For example, at 8% interest, money doubles in approximately 9 years (72 / 8 = 9).