How the CD vs savings math works
A certificate of deposit and a savings account both pay interest, but they pay it on different terms. A CD locks your money for a fixed term — 6 months, 1 year, 5 years — and in exchange the bank pays a higher rate. A savings account lets you withdraw any time, and pays less for that freedom. The comparison is simple future value with monthly compounding: FV = P(1 + r/12)^(12t), plus the future value of any monthly contribution, which is C × ((1 + i)^n − 1) / i. Both accounts compound monthly here, so the only difference is the rate — and the penalty if you break the CD early.
At the defaults the gap looks small: $10,000 at 4.50% grows to $12,517.96 in 5 years, and at 4.00% it grows to $12,209.97. The CD earns $2,517.96 of interest, the savings account $2,209.97, and the CD wins by $307.99 — about 3% of the deposit, for giving up access to your money for 5 years. Whether that trade is worth it depends on how sure you are that you will not need the money, and on how big the rate gap is: at a big-bank savings rate of 0.01%, the same $10,000 earns just $5.00 in 5 years.
The worked example, line by line
Setup: deposit $10,000.00; CD APY 4.50%; savings APY 4.00%; term 5 years; monthly contribution $0.00.
Line 1 — CD balance. $10,000.00 × (1 + 0.045/12)^60 = $12,517.96.
Line 2 — CD interest. $12,517.96 − $10,000.00 = $2,517.96.
Line 3 — savings balance. $10,000.00 × (1 + 0.04/12)^60 = $12,209.97.
Line 4 — savings interest. $12,209.97 − $10,000.00 = $2,209.97.
Line 5 — the gap. $12,517.96 − $12,209.97 = $307.99 — the CD wins by that much over 5 years.
Line 6 — year-1 interest. After one year the CD has earned $459.40 and savings $407.42 — a gap of $51.98 in the first year alone.
Line 7 — the reverse. To match the CD's 5-year balance, the savings account needs an extra $4.65 a month: the $307.99 gap divided by the annuity factor of 66.30 at 4.00% over 60 months.
Every branch, checked
1 year: CD $10,459.40, savings $10,407.42, gap $51.98. Over one year the CD's edge is barely a dinner out — the rate gap needs time to matter.
3 years: CD $11,442.48, savings $11,272.72, gap $169.76. The gap roughly triples from year 1 to year 3, because compounding rewards the higher rate more each year.
10 years: CD $15,669.93, savings $14,908.33, gap $761.60. Over a decade the same half-point gap is worth $761.60 — two and a half times the 5-year gap.
Big-bank savings at 0.01% APY: $10,000 grows to just $10,005.00 in 5 years — $5.00 of interest. The CD beats it by $2,512.96. The bank you choose matters far more than the account type: a high-yield savings account at 4.00% beats a big-bank CD at almost any rate.
Adding $100 a month for 5 years: the CD reaches $19,232.51 and savings $18,839.86. Contributions dominate the result — $6,000.00 of your own money plus its interest — but the CD still wins by $392.65, a bigger gap than the $307.99 with no contributions, because the higher rate also earns more on every contribution.
Breaking the CD at year 2: the CD balance is $10,939.90, but the 6-month-interest penalty is $246.15, so the net is $10,693.75 — against $10,831.43 in savings at 2 years. Savings wins by $137.68 if you break early. The penalty is 6 months of interest on the balance: $10,939.90 × 4.50% / 2 = $246.15. That is the whole trade in one number: the CD's $307.99 five-year win is smaller than one early-withdrawal penalty.
$25,000 deposit, 5 years: CD $31,294.90, savings $30,524.91 — the gap scales with the deposit, $769.99 at $25,000 against $307.99 at $10,000. Bigger deposits make the CD's edge worth more, and the penalty bigger too.
Reverse — the $4.65 a month: adding $4.65 a month to the savings account closes the $307.99 gap exactly over 5 years. If you can save $4.65 a month more, the savings account matches the CD — and keeps your money accessible.
What the defaults assume
Both APYs are illustrative, not current offers: real CD and savings rates move with the market, and the 4.50% / 4.00% pair is a typical high-yield spread, not a quote. Both accounts compound monthly, which matches most high-yield accounts; some CDs compound daily, which would add a few dollars. The early-withdrawal penalty is modeled as 6 months of interest on the balance at the CD rate — a common penalty, but real CDs charge anywhere from 90 days to 12 months of interest, and some charge a flat fee instead, so check the actual terms. Taxes are ignored: interest is taxed as ordinary income in the year it is earned, which shrinks both balances by the same proportion and does not change which account wins. Deposits are insured up to $250,000 per depositor, per bank, by the FDIC for banks and the NCUA for credit unions — both accounts carry the same protection. Rounding convention: money is rounded to cents and all figures are computed from unrounded values, rounded only for display.
Output · formula · meaning
| Output | Formula | What it means |
| CD balance | FV of deposit + contributions at CD APY | $12,517.96 after 5 years at 4.50%. |
| CD interest | CD balance − deposit − contributions | $2,517.96 earned over 5 years. |
| Savings balance | FV of deposit + contributions at savings APY | $12,209.97 after 5 years at 4.00%. |
| Savings interest | Savings balance − deposit − contributions | $2,209.97 earned over 5 years. |
| CD wins by | CD balance − savings balance | $307.99 over 5 years. |
| 1-year balances | same math, 1 year | $10,459.40 / $10,407.42 — gap $51.98. |
| 3-year balances | same math, 3 years | $11,442.48 / $11,272.72 — gap $169.76. |
| 10-year balances | same math, 10 years | $15,669.93 / $14,908.33 — gap $761.60. |
| Big-bank savings, 0.01% | FV at 0.01% APY | $10,005.00 — $5.00 of interest. |
| +$100/month balances | FV with $100/mo contributions | $19,232.51 / $18,839.86 over 5 years. |
| Early withdrawal, year 2 | CD balance − 6 months interest | $10,693.75 vs $10,831.43 — savings wins. |
| $25,000 deposit | same math, $25,000 | $31,294.90 / $30,524.91 over 5 years. |
| Year-1 interest | 1-year balance − deposit | $459.40 / $407.42 in the first year. |
| Extra to savings to match CD | gap / annuity factor | $4.65/mo closes the gap. |
Who uses this
- The emergency-fund saver: has $10,000 set aside and learns the CD earns $307.99 more over 5 years — so the CD is tempting, but the $246.15 penalty if the car breaks down in year 2 wipes the win out, and savings keeps the money reachable.
- The house-deposit planner: is saving $100 a month toward a down payment and learns the CD reaches $19,232.51 against $18,839.86 in savings — so the CD wins by $392.65 if the purchase date is truly fixed, and loses if it slips.
- The big-bank customer: earns 0.01% on $10,000 and learns 5 years of interest is $5.00 — so moving to a 4.00% high-yield account is worth $2,204.97, which dwarfs the whole CD-versus-savings question.
- The retiree laddering CDs: holds $25,000 across maturities and learns a 5-year CD earns $31,294.90 against $30,524.91 in savings — so the ladder's long rung is worth $769.99, as long as no rung is broken early.
Accuracy & limitations
The math is exact for the numbers you enter: future value with monthly compounding, contributions as an end-of-month annuity, interest as balance minus deposit minus contributions, the early-withdrawal penalty as 6 months of interest on the year-2 balance, and the reverse as the balance gap divided by the savings annuity factor. But the inputs carry the assumptions. APYs are illustrative, not current offers: real rates change, and the gap between a CD and a savings account is rarely a fixed half-point. Both accounts are assumed to compound monthly; daily compounding would add a few dollars to each. The 6-month-interest penalty is a common convention, not a universal rule: real CDs charge 90 days to 12 months of interest, or a flat fee, and no-penalty CDs charge nothing at all — see our no-penalty CD vs savings and no-penalty CD vs regular CD vs savings comparisons for that different angle, where the early-withdrawal math changes completely. Taxes are ignored: interest is taxed as ordinary income, which trims both balances but does not change the winner. FDIC insurance covers $250,000 per depositor per bank (NCUA the same for credit unions); amounts above that are uninsured. Read the CD vs savings account guide for the full picture.
Cite this calculatorBright Side Kit. “CD vs Savings Account Calculator: 5-Year Growth Compared.” brightoolbox.com, 2026. Method: FV = P(1 + r/12)^(12t) + C × ((1 + i)^n − 1) / i, monthly compounding for both accounts; interest = balance − deposit − contributions; early-withdrawal penalty = 6 months of interest on the year-2 balance; reverse = balance gap / annuity factor at the savings APY. Defaults: $10,000 deposit, CD APY 4.50%, savings APY 4.00%, 5 years, $0/month → CD $12,517.96 (interest $2,517.96), savings $12,209.97 (interest $2,209.97), CD wins by $307.99; 1-year gap $51.98; 3-year gap $169.76; 10-year gap $761.60; big-bank 0.01% savings $10,005.00 (interest $5.00); +$100/month CD $19,232.51, savings $18,839.86; break at year 2 net $10,693.75 vs savings $10,831.43; $25,000 deposit CD $31,294.90, savings $30,524.91; year-1 interest $459.40 vs $407.42; reverse $4.65/month. Sources: standard future-value formula; APYs are illustrative, not current offers; FDIC/NCUA insurance limit $250,000 per depositor per bank.Bright Side Kit. "CD vs Savings Account Calculator: 5-Year Growth Compared" https://brightoolbox.com/cd-vs-savings-account/ Accessed October 24, 2026.
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