- Deposit
- 10000$
- How the rate is quoted
- APY — yield after compounding
- Interest rate
- 4.5%
- Compounding frequency (APR only)
- Daily
- Term in months
- 12
10,450.00$
Open with these values10,450.00$
Result: 10,450.00 $APY already contains the compounding; APR does not. Enter the rate the way your bank quotes it and pick the matching type — treating an APR as an APY understates the result, and a bank quoting APY is telling you the number that already includes everything.
10,450.00$
Open with these values6,381.41$
Open with these values26,146.31$
Open with these valuesAPY: D × (1 + r)^t · APR: D × (1 + r/n)^(n·t)
This calculator turns a deposit, a rate and a term into what a certificate of deposit is worth at maturity — the one figure that says what is actually in the account when the term ends. The interesting part is not the arithmetic but the rate type, because an APY and a nominal rate are two different numbers and the calculator treats them that way. An APY already contains the compounding, so it is simply raised to the power of the term in years: the default 10,000 at 4.5 % APY over twelve months matures at 10,450. A nominal rate is not finished yet. It has to be spread over the periods first, which is why the compounding field exists — and why the APY branch never reads it. The same 4.5 % as a nominal rate reaches 10,460.25 compounded daily and 10,459.40 compounded monthly. Those 85 cents are less than most people expect; against yearly compounding the same deposit differs by 10.25, so the first step in frequency is worth more than every step after it. The result is a gross figure: tax and any early-withdrawal penalty sit outside this calculation. The limitation that matters most is the only one you control — enter the rate the way your bank quotes it and pick the matching type. Treating a nominal rate as an APY understates the result.
An APY already contains the compounding, so that branch never reads the frequency. Pick a frequency only when your bank quoted a nominal rate.
At 4.5 % nominal over one year, daily compounding beats monthly by 85 cents. Against yearly compounding the same deposit differs by 10.25.
The value at maturity is shown before tax and before any early-withdrawal penalty. Both sit outside this calculation.
The source behind this calculator is US Regulation DD, which defines APY for US deposit accounts. That is why the result carries a dollar sign; the arithmetic itself is currency-neutral.
A rate is a rate — APY and APR go in the same way.
APY is the effective yearly rate with compounding already included; a nominal rate is not. Treating a nominal rate as an APY understates the result.
Daily compounding is worth much more than monthly.
At 4.5 % nominal over one year, 10000 grows to 10460.25 daily and 10459.40 monthly. That is 85 cents apart.
I have to convert the term into years first.
The term is entered in months, from one to 120. An 18-month CD needs no conversion.
| Rate type | What it means |
|---|---|
| APY | Effective yearly rate — compounding already included |
| APR | Nominal yearly rate — spread over the periods below |
APY is the effective yearly rate with compounding already included; a nominal rate is not. Enter the rate the way your bank quotes it and pick the matching type — treating a nominal rate as an APY understates the result.
For an APY the calculator raises 1 plus the rate to the power of the term in years. For a nominal rate it compounds at the chosen frequency: deposit × (1 + r/n) to the power of n times years.
Less than most people expect. At 4.5 % nominal over one year, 10000 grows to 10460.25 compounded daily and 10459.40 compounded monthly — 85 cents apart. Against yearly compounding the same deposit differs by 10.25, so the first step from yearly to monthly is worth more than every step after it.
One to 120 months, which is ten years. The term is entered in months, so an 18-month CD needs no conversion.
The source behind this calculator is US Regulation DD, which defines APY for US deposit accounts. The arithmetic itself is currency-neutral — the same numbers hold whatever the currency.
Information, not financial advice.