CD calculator

Calculate CD interest and maturity value from the APY or APR and compounding, convert APY to APR, and see what an early withdrawal penalty costs.

更新日 検証済みの例:6

$
%
Banks advertise the APY, which includes compounding; the APR is the stated rate before compounding
months of interest
From your deposit agreement; 90 days is about 3 months
months
その他の設定
%
Your marginal rate; CD interest is taxed as ordinary income
試す
Value at maturity
$
Value at maturity: $10,400.00
小数点以下の桁数:2;最も近い値へ、等距離なら末尾が偶数の値へ
Interest earned
$400.00
APY
4.0000%
APR (stated rate)
3.9223%
Early withdrawal penalty
$98.06
Cash-out value after the penalty
$10,099.98
Gain if cashed out early
$99.98
Penalty covered after
3.0months

$10,000.00 at 4% APY (3.9223% APR) grows to $10,400.00 over 12 months, earning $400.00. Cashing out after 6 months returns $10,099.98 once the $98.06 penalty is taken.

Balance and what you would get by cashing out

$10K$10.1K$10.2K$10.3K$10.4K02.557.510MonthsDepositCash out at 6 mo
BalanceCash-out value after penalty

Interest kept: at maturity or cashed out at 6 months

At maturity$400By month 6$198Penalty−$98Kept$100
Month-by-month growth 行数:12
月利息残高Cash-out value after penalty
1$32.74$10,032.74$9,934.68
2$32.84$10,065.58$9,967.52
3$32.95$10,098.53$10,000.48
4$33.06$10,131.59$10,033.54
5$33.17$10,164.76$10,066.71
6$33.28$10,198.04$10,099.98
7$33.39$10,231.42$10,133.37
8$33.50$10,264.92$10,166.86
9$33.60$10,298.52$10,200.47
10$33.71$10,332.24$10,234.18
11$33.83$10,366.06$10,268.01
12$33.94$10,400.00$10,400.00
計算方法 S
  1. APR from the APY

    r=365[(1+0.04)1/365−1]=3.9223%r = 365\left[(1 + 0.04)^{1/365} - 1\right] = 3.9223\%
  2. Term in years

    t=1212=1t = \frac{12}{12} = 1

    Each month counts as 365 ÷ 12 days. Banks count the actual days, which can move daily-compounded interest by a few cents.

  3. Value at maturity

    A=10,000.00×(1+0.04)1=10,400.00A = 10{,}000.00 \times (1 + 0.04)^{1} = 10{,}400.00
  4. Interest earned

    10,400.00−10,000.00=400.0010{,}400.00 - 10{,}000.00 = 400.00
  5. Early withdrawal penalty

    10,000.00×0.03922282044×312=98.0610{,}000.00 \times 0.03922282044 \times \frac{3}{12} = 98.06

    Simple interest on the deposit at the APR for the penalty period.

  6. Cash-out value after 6 months

    10,000.00×(1+0.04)6/12−98.06=10,099.9810{,}000.00 \times (1 + 0.04)^{6/12} - 98.06 = 10{,}099.98
  7. When the penalty is covered

    m=12 ln⁡ ⁣(1+0.03922282044×3/12)ln⁡(1+0.04)=2.99 monthsm = 12\,\frac{\ln\!\left(1 + 0.03922282044 \times 3/12\right)}{\ln(1 + 0.04)} = 2.99\ \text{months}

CD calculatorについて

A certificate of deposit pays a fixed rate for a fixed term. The value at maturity is the deposit times (1 + APR ÷ k) raised to k × years, where k is the number of compounding periods a year; entered as an APY, the same value is the deposit times (1 + APY) raised to the years. The calculator converts between the two rates and shows what breaking the CD early leaves you after a penalty of a set number of months of interest.

With the defaults, $10,000 in a 12-month CD at 4.00% APY compounded daily earns $400.00. That APY equals an APR of 3.9223%. Cashing out after 6 months with a 3-month penalty leaves $10,099.98, since the $98.06 penalty takes about half of the $198.04 earned by then.

The penalty is computed as simple interest on the deposit at the APR. Deposit agreements differ, and Regulation DD requires the bank to disclose how its penalty is calculated. Terms in months use 365 ÷ 12 days per month.

計算例

Regulation DD example: $1,000 six-month CD, 182 days at 6% compounded daily

Deposit
1000
Interest rate
6%
Rate is
年率(APR)
Compounding
Daily (365)
Term
182
Term in
Days
Early withdrawal penalty
3 months of interest
Cash out early after
3 months
Interest earned
30.37
APY
6.1831%

照合元:12 CFR 1030 Appendix A, Part I.A, example (2): interest $30.37, APY 6.18% (Python decimal: (1 + 0.06/365)^365 − 1 = 6.183131 %)

$10,000 at 5% compounded yearly for 3 years

Deposit
10,000
Interest rate
5%
Rate is
年率(APR)
Compounding
Annually
Term
36
Term in
か月
Early withdrawal penalty
3 months of interest
Cash out early after
12 months
Value at maturity
11,576.25
Interest earned
1,576.25

照合元:calculator.net CD calculator default inputs (10,000, 5%, 3 years, annually) and its published result, $11,576.25 and $1,576.25 interest

APY 5% compounded monthly converts to APR

Deposit
10,000
Interest rate
5%
Rate is
APY
Compounding
Monthly
Term
12
Term in
か月
Early withdrawal penalty
3 months of interest
Cash out early after
6 months
APR (stated rate)
4.8889%
Value at maturity
10,500.00

照合元:Python decimal: 12 × (1.05^(1/12) − 1) = 4.888949 %; one year at 5% APY is 10,500 by definition

Defaults: $10,000, 4% APY daily, 12 months, 3-month penalty after 6 months

Deposit
10,000
Interest rate
4%
Rate is
APY
Compounding
Daily (365)
Term
12
Term in
か月
Early withdrawal penalty
3 months of interest
Cash out early after
6 months
Interest earned
400.00
APR (stated rate)
3.9223%
Early withdrawal penalty
98.06
Cash-out value after the penalty
10,099.98
Penalty covered after
3.0 months

照合元:Python decimal: r = 365 × (1.04^(1/365) − 1); penalty 10,000 × r × 3/12; 10,000 × 1.04^0.5 − penalty

よくある質問

How is interest on a CD calculated?

Multiply the deposit by (1 + APR ÷ k) to the power k × years, where k is the compounding periods per year, and subtract the deposit. $10,000 at a 5% APR compounded yearly for 3 years grows to 10,000 × 1.05³ = $11,576.25, so the interest is $1,576.25. With the rate given as an APY, use (1 + APY) to the power of the years instead.

What is the difference between APY and APR on a CD?

The APR is the stated yearly rate before compounding; the APY includes compounding and shows what $100 earns in a year. A 5% APY compounded monthly is an APR of 4.8889%, and a 6% APR compounded daily is an APY of 6.1831%. Regulation DD (Truth in Savings) requires banks to disclose both, and the APY is the one to compare CDs on.

What is the penalty for withdrawing a CD early?

Whatever the deposit agreement says, usually a number of months or days of interest. The federal minimum is in Regulation D: money withdrawn within six days of deposit must lose at least seven days' simple interest. On $10,000 at a 3.9223% APR, a 3-month penalty is 10,000 × 0.039223 × 3 ÷ 12 = $98.06.

Can an early withdrawal penalty eat into the principal?

Yes, when the penalty is larger than the interest earned so far. On $10,000 at 4% APY, one month earns $32.74, but a 3-month penalty is $98.06, so cashing out returns $9,934.68 and you lose $65.32 of your deposit. With these terms the penalty is covered after about 3 months.

Are CDs FDIC insured?

Yes. The FDIC lists certificates of deposit among insured deposits, covered up to $250,000 per depositor, per insured bank, for each account ownership category. Coverage is principal plus interest accrued through the date the bank fails, so a $245,000 deposit at 4% APY passes the limit after about 6.2 months.

「CD calculator」の精度はどのくらいですか?

精度は入力値と計算方法の前提に依存します。十進演算には有効数字50桁を使いますが、推定、数値計算手法、元データの精度はそれより低い場合があります。表示の丸め処理でこれらの制約がなくなるわけではありません。 独立した出典の解答と照合した計算例:6。 例えば、「Regulation DD example: $1,000 six-month CD, 182 days at 6% compounded daily」は12 CFR 1030 Appendix A, Part I.A, example (2): interest $30.37, APY 6.18% (Python decimal: (1 + 0.06/365)^365 − 1 = 6.183131 %)と照合しています。

この計算方法の出典は何ですか?

12 CFR 1030 (Regulation DD, Truth in Savings), Appendix A: annual percentage yield calculation; 12 CFR 204.2(c)(1)(i) (Regulation D): minimum early withdrawal penalty on time deposits; 12 CFR 1030.4(b)(6)(ii): disclosure of early withdrawal penalties; FDIC: Understanding deposit insurance.

この計算機について

A=P(1+rk)kt=P(1+APY)t,APY=(1+rk)k−1,penalty=P r m12A = P\left(1+\tfrac{r}{k}\right)^{kt} = P(1+\text{APY})^{t},\qquad \text{APY} = \left(1+\tfrac{r}{k}\right)^{k}-1,\qquad \text{penalty} = P\,r\,\tfrac{m}{12}

出典

  1. 12 CFR 1030 (Regulation DD, Truth in Savings), Appendix A: annual percentage yield calculation
  2. 12 CFR 204.2(c)(1)(i) (Regulation D): minimum early withdrawal penalty on time deposits
  3. 12 CFR 1030.4(b)(6)(ii): disclosure of early withdrawal penalties
  4. FDIC: Understanding deposit insurance

計画の参考用です。金融機関、税務当局、市場は独自の丸め方、手数料、規則を適用します。契約などの前に該当機関へ金額を確認してください。

出典と照合済み

この計算機には、独立した出典の解答を使った計算例が 6 件あります。テストに組み込まれており、ここでも実行できます。

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