01 / APY or nominal
Type it the way it is printed
APY is the yield for a full year. A nominal rate is the stated rate before compounding. The page converts one into the other and shows the formula.
Free tool
Type the deposit, the rate on the CD and its term, and see the ending balance and the interest earned. Pick APY or a nominal rate, choose how often interest is added, roll the CD over with extra money at each renewal, test an early withdrawal penalty that you type as months of interest, or split your money into a ladder of several terms. The page shows the APY and nominal rate formula with your numbers, a chart and a table by month or year. It names no bank and claims no rate: you type the rate you were offered. Plain maths, not financial advice.
Growth table
What are you working out
The numbers in the boxes are examples. Type the rate you were offered. Not financial advice.
Worked out in your browser. Nothing is sent anywhere.
How it works
01 / APY or nominal
APY is the yield for a full year. A nominal rate is the stated rate before compounding. The page converts one into the other and shows the formula.
02 / Renewals and penalty
Roll the CD over with new money, or type a penalty in months of interest and see what you would get back.
03 / Ladder
Split the money across terms, give each its own rate, and see the total, the average yield and when money comes back.
Guide
A CD calculator, or certificate of deposit calculator, works out how much a CD pays by the end of its term. You give it the deposit, the rate and the term. It gives back the ending balance and the interest earned. This one also handles the three things that the simple versions skip: a rate typed as APY or as a nominal rate, extra money added each time the CD renews, and a ladder that spreads money over several terms. It also lets you test an early withdrawal penalty. It claims no rate and names no bank. Every rate in a box is an example, so type the one you were offered.
The nominal rate is the stated yearly rate before compounding. The APY, the annual percentage yield, is what you really earn over a year once the interest itself starts earning interest. The two are linked by one formula: APY = (1 + r / n)n − 1, where r is the nominal rate and n is how many times a year interest is added. Turned round, r = n × ((1 + APY)1/n − 1).
Take a 4% APY with monthly compounding. The nominal rate is 12 × (1.041/12 − 1), which is 3.9285%. Now take a 4% nominal rate instead. Added monthly, it gives an APY of 4.0742%, so 10,000 grows to 10,407.42 in a year. Added daily on a 365 day year, the same 4% gives an APY of 4.0808% and 10,408.08. Added quarterly it gives 4.0604%. The more often interest is added, the higher the APY for the same nominal rate. When you type an APY, the compounding choice changes only the nominal rate shown, not the ending balance.
| Deposit | Rate | Added | Term | Ending balance |
|---|---|---|---|---|
| 10,000 | 4% APY | Monthly | 12 months | 10,400.00 |
| 10,000 | 4% nominal | Monthly | 12 months | 10,407.42 |
| 10,000 | 4% nominal | Daily | 12 months | 10,408.08 |
| 10,000 | 4% nominal | Quarterly | 6 months | 10,201.00 |
| 10,000 | 4% nominal | Monthly | 24 months | 10,831.43 |
| 10,000 | 4% nominal | Yearly | 18 months | 10,608.00 |
The last row shows how a part period is treated. With yearly compounding, the first year adds 4% to give 10,400. The next six months earn simple interest, half of a year at 4%, which is 10,400 × 0.02 = 208, so the balance is 10,608. Each full period is compounded and the leftover part of a period earns simple interest.
Open Renewals and extra deposits to roll the CD over. Type how many times it renews and how much you add each time. You can also type a new rate that applies after the first term, or leave the box empty to keep the same one. For example, 10,000 at 4% APY for 12 months, renewed twice with 1,000 added each time at the same rate, goes to 10,400, then 11,400 grows to 11,856, then 12,856 grows to 13,370.24. You put in 12,000 and earned 1,370.24.
Many CDs charge a penalty if you take the money out early, often counted as a number of months of interest. The rule differs by bank and by term, so this page assumes nothing: you type the number of months. Open Early withdrawal, type the months of penalty and the month you would withdraw. The page uses penalty = months × (nominal rate ÷ 12) × balance. With the 4% APY example, a 3 month penalty and a withdrawal in month 6, the balance is 10,198.04, the penalty is 100.16 and you receive 10,097.88. The penalty is covered by the interest from month 4 on. Withdraw in month 3 and you get 9,999.35, which is slightly less than you put in. Your contract may count the penalty on a different amount, so check it.
A CD ladder splits money across CDs with different terms, so some of it comes back sooner while the rest earns a longer-term rate. Switch to Ladder and type one rung per line as months, rate and an optional amount. The default example puts 2,500 in each of four rungs: 6 months at 3% APY, 12 months at 3.5%, 24 months at 4% and 36 months at 4.5%. They pay out 2,537.22, 2,587.50, 2,704.00 and 2,852.92, a total of 10,681.64 and 681.64 of interest. The first money is back after 6 months and the last after 36. These rates are made up for the example.
To see how regular deposits grow, use the compound interest calculator. To see what the final balance would buy, try the inflation calculator. For the other side of interest, where you pay it, there is the loan calculator.
Questions
Multiply the deposit by (1 + r / n) to the power of n × years, where r is the nominal rate and n is how many times a year interest is added. With a rate typed as APY, it is simply the deposit × (1 + APY) to the power of the years. 10,000 at 4% APY for one year is 10,400.
Use the one your bank prints and pick it under "The rate is". Banks usually print both. The APY already includes compounding, so the compounding choice then changes only the nominal rate shown.
The nominal rate (often called the interest rate) is the stated yearly rate. The APY counts interest earning interest during the year, so it is higher unless interest is added only once a year.
It depends on the bank, so you type it. This page takes the months you enter and multiplies by the nominal rate ÷ 12 and the balance. Always read the account terms.
Most CDs take one deposit at the start. You can test adding money at each renewal with Renewals and extra deposits, or use the ladder to open several CDs.
Money split over CDs that end at different times. Some of it comes back sooner, and the rest earns the rate of a longer term. The Ladder tab shows the total and the average yield.
No. It shows the interest before tax. Take off your own tax rate from the interest figure to get a rough after-tax number.
No. It is maths on the numbers you type. It names no bank and states no rate.
No. The numbers stay in your browser, and your last inputs are kept on this device only.