What is Certificates of Deposit (CDs)?
A Certificate of Deposit (CD) is a savings product offered by banks where you agree to lock up a fixed sum of money for a predetermined period (term) in exchange for a higher interest rate than a standard savings account. At "maturity" (end of the term), you receive your full deposit plus all accumulated interest.
Mathematical Foundation
Laws & Principles
- APY vs APR: CDs advertise APY (Annual Percentage Yield), not APR. APY is the more honest number because it already factors in compounding. A 5% APR compounded daily results in an APY of 5.127%.
- The Early Withdrawal Penalty Trap: If you pull your money out before the CD matures, banks charge a fee typically equal to 3–6 months of interest. On short-term CDs, this penalty can actually cause you to lose principal. Always ensure your CD term matches a time horizon where you will not need that cash.
Step-by-Step Example Walkthrough
" You deposit $10,000 into a 12-month CD with an APY of 5.00%. "
- Convert Term: 12 Months = 1 Year
- Apply formula: $10,000 × (1 + 0.05)^1
- Calculate: $10,000 × 1.05 = $10,500