See what a certificate of deposit is worth at maturity. Enter the opening deposit, the annual rate, how often interest compounds, the term in years and months, and an optional marginal tax rate. You get the end balance, the interest earned, and a month-by-month accumulation schedule.
Formula
A CD compounds a single deposit — there are no ongoing contributions. The stated annual rate r is first converted to an effective annual rate at your chosen frequency, then to an equivalent monthly rate so every month of the schedule is consistent:
APY = (1 + r/n)^n − 1 (continuous: e^r − 1)
i = (1 + APY)^(1/12) − 1
Each month the CD credits balance × i of interest. If you enter a tax rate,
that fraction of the month's interest is withheld and the rest is reinvested.
Annually (APY) at 5% therefore still ends each year 5% higher, even though the
table shows monthly growth.
APY vs. APR at 5% for 3 years on $10,000
| Compound | Equivalent APY | End balance |
|---|---|---|
| Annually (APY) | 5.000% | $11,576.25 |
| Semiannually | 5.063% | $11,596.93 |
| Quarterly | 5.095% | $11,607.55 |
| Monthly (APR) | 5.116% | $11,614.72 |
| Continuously | 5.127% | $11,618.34 |
Examples
$10,000 at 5% APY for 3 years
A $10,000 CD at 5% compounded annually grows to $11,576.25 — $1,576.25 of interest. Year 1 ends at $10,500, year 2 at $11,025, year 3 at $11,576.25.
Same CD taxed at 25%
The same CD with a 25% marginal tax rate finishes at $11,160.92. Gross interest is $1,547.90 and tax is $386.97, so $1,160.92 of interest stays in the account. Tax is taken each month, which also slows later compounding.
A 6-month CD
The same $10,000 at 5% APY for six months grows to $10,246.95. Short terms are shown month by month rather than as a full year.