Compound Interest Guide
Five-Year vs Ten-Year Savings Growth
Time is the most interesting input in a compound interest calculator, because small changes to it produce outsized changes in the output. Double a savings period from five years to ten and you do not get twice the result — you get more than twice, and in the interest column specifically, dramatically more. This article compares the two horizons with identical inputs — $300 a month at 5% — tracks the balances year by year, and looks at what happens if you stop depositing at year five instead of continuing. Along the way, it answers a question the numbers keep raising: is the second five years really worth as much as the first? The short answer is, close to it — and the table will show you exactly where the value comes from.
Why doubling the time more than doubles the money
The reason is the shape of exponential growth. In a compound interest projection, the total you contribute grows in a straight line — $3,600 a year, always. The balance, however, grows along a curve: every year's interest is calculated on a balance that already includes all previous interest, so the curve gets steeper as it goes.
That asymmetry shows up immediately in the two headline numbers. Over five years, $300 a month at 5% compounded monthly produces about $20,401.82, of which $18,000 came from your deposits and $2,401.82 from interest. Over ten years the balance is about $46,584.68 — that is $36,000 of deposits and $10,584.68 of interest. The time horizon doubled, the deposits doubled, but the interest grew more than four times over. The extra time did not merely add five more years of interest; it gave the existing interest five more years to earn interest of its own.
There is a second way to see the same idea, and it does not require a spreadsheet. Think of the interest earned in year one of the ten-year plan. That interest compounds for nine more years. Now think of the interest earned in year nine: it compounds for just one more year. Every year of the plan, some portion of the balance carries forward with years of compounding still ahead of it — and the earlier that portion arrives, the longer it works. That is why the total is not a straight multiple of the term.
$300 a month: five years vs ten
The year-by-year table below shows the same plan at the same 5% rate, compounded monthly. The right-hand column adds a twist: what the balance would be if you stopped depositing entirely at the end of year five and let the money sit.
$300 a month at 5% compounded monthly
The "stop at year 5" column shows the balance if deposits end in year five and the money is left to grow untouched.
| Year | Keep depositing | Stop at year 5 |
|---|---|---|
| 1 | $3,683.66 | $3,683.66 |
| 2 | $7,555.78 | $7,555.78 |
| 3 | $11,626.00 | $11,626.00 |
| 4 | $15,904.47 | $15,904.47 |
| 5 | $20,401.82 | $20,401.82 |
| 6 | $25,129.28 | $21,445.62 |
| 8 | $35,322.15 | $23,696.15 |
| 10 | $46,584.68 | $26,182.86 |
At year 5 the two columns are identical, as they must be. From year 6 onward they separate, and the separation is not subtle: by year 10, continuing is worth about $20,400 more than stopping — almost exactly the entire value of the first five years' contributions, grown to that point. The second five-year block of deposits is worth nearly as much as the first, even though it earns interest for only half as long.
Another way to read the same table is to look at the ratio. The ten-year balance is 2.28 times the five-year balance — not 2.00 times. And the interest columns tell the sharper story: $2,401.82 versus $10,584.68 is a 4.41-fold increase. Deposits grew by a factor of two; interest grew by a factor of more than four. If the plan were lengthened again to fifteen years, the interest share would keep climbing toward being the majority of the balance.
The first few months, month by month
To see how the plan gets going, simulate the very first months with the same $300 deposit and monthly interest of 5% ÷ 12 ≈ 0.4167%.
Month 1. Deposit $300. A brand-new balance earns nothing yet. Balance: $300.00.
Month 2. Interest on $300 is 300 × 0.004167 ≈ $1.25. Add the $300 deposit. Balance: $601.25.
Month 3. Interest on $601.25 is about $2.51 — twice the previous month's interest. Add $300. Balance: $903.76.
That doubling of the monthly interest between month 2 and month 3 is the machine working: a larger balance earns a larger payment, and the payment stays in the balance. The growth is small at this scale because the balance is small — but the mechanism is identical at every scale. If the deposit were $1,000 a month instead of $300, the third month's interest would be roughly $8.35, and the same compounding curve would take over from there. By the end of the ten-year plan, the interest earned in a single month is about $192, versus the $1.25 of month two.
Stopping at year five vs keeping going
The stop-versus-continue comparison deserves its own look, because it answers a question people actually face: "I have a five-year goal — after that, should I keep saving or redeploy the money elsewhere?"
If you stop at year 5 with $20,401.82 and do not touch it, the money keeps compounding on its own. By year 10 it reaches about $26,182.86 — growth of roughly $5,781 with zero new deposits. That is compounding working without any effort from you, and it is a strong argument for leaving money alone whenever you can.
But compare that to continuing the $300 deposits for the full decade: $46,584.68. The extra $20,401.82 comes from the second five-year block of deposits, which by year 10 has grown to exactly the same value the first block reached at year 5. The pattern is worth noticing: the second half of a ten-year plan contributes about as much as the first half, even though it ran for half the time. Extend that idea over a longer career and you get the same logic that drives retirement savings conversations — the later blocks keep compounding, but the earlier blocks are the ones with the longest runway.
The practical reading is encouraging: even a modest monthly amount, deposited steadily, produces a balance whose growth in the later years is driven more by the balance itself than by your deposits. At year 10 of the continuing plan, roughly $4,000 of the year's growth is interest rather than new deposits. The account has begun to work alongside you rather than merely storing what you give it.
Questions people ask about saving horizons
Does the interest rate change which horizon wins?
No — the direction stays the same at any positive rate. Higher rates make the ten-year plan even more attractive, because the extra time multiplies a bigger growth factor. Lower rates shrink the gap but never flip it.
What if I increase the deposit in year six instead of stopping?
That sits between the two columns. Every extra dollar deposited gets some remaining years of compounding; the more it earns before year 10, the closer you land to (or beyond) the "keep depositing" column.
Is this plan realistic for a specific account?
The 5% figure is an assumption for illustration, not a prediction. Run the plan with your own account's rate, and remember that a high-yield savings account typically offers a different APY than a general-purpose account — the APY vs interest rate guide explains why the quoted numbers differ.
Should I compare this to adding my $300 as a lump sum?
Different question, different answer. Depositing monthly means earlier money compounds longer, which is one reason monthly contributions are so effective compared to saving up and depositing later.
Key takeaways
1. At $300 a month and 5%, five years yields $20,401.82; ten years yields $46,584.68 — 2.28 times as much on double the deposits.
2. Interest grew from $2,401.82 to $10,584.68, more than a fourfold increase, because time lets interest earn interest.
3. Stopping at year 5 still grows to $26,182.86 by year 10, but continuing adds about $20,400 on top.
4. The second half of a long plan contributes about as much as the first — start early, and let the last deposits work.