$10,000 with no further deposits
This is the base case: one deposit, left alone, compounded annually. Every figure is $10,000 × (1 + r)^n, so any cell can be checked with a calculator in one operation.
| Years | 3% | 5% | 7% | 9% |
|---|---|---|---|---|
| 5 | $11,593 | $12,763 | $14,026 | $15,386 |
| 10 | $13,439 | $16,289 | $19,672 | $23,674 |
| 20 | $18,061 | $26,533 | $38,697 | $56,044 |
| 30 | $24,273 | $43,219 | $76,123 | $132,677 |
Two things worth noticing
First, the columns diverge far faster than the rates suggest. At 5 years, 9% produces 33% more than 3%. At 30 years it produces 447% more. The rate gap is constant; the exponent is not.
Second, the rows are not linear in time either. At 7%, the first ten years add $9,672 and the third decade adds $37,426 — nearly four times as much, from the same deposit and the same rate. Almost all of the interesting growth happens at the end, which is why horizon beats rate as a planning lever.
| Period | Balance at start | Balance at end | Growth added |
|---|---|---|---|
| Years 1–10 | $10,000 | $19,672 | $9,672 |
| Years 11–20 | $19,672 | $38,697 | $19,025 |
| Years 21–30 | $38,697 | $76,123 | $37,426 |
Adding $200 a month to the same $10,000
Most people are not choosing between depositing $10,000 and doing nothing; they are also saving each month. Adding $200 a month changes the character of the result completely, particularly at shorter horizons where growth has had little time to act.
At 5 years the plan is overwhelmingly deposits: $22,000 paid in against a $28,495 balance at 7%. At 30 years the relationship inverts: $82,000 paid in against a balance of $325,159.
| Years | Total paid in | Ending balance | Growth | Growth share |
|---|---|---|---|---|
| 5 | $22,000 | $28,495 | $6,495 | 23% |
| 10 | $34,000 | $54,714 | $20,714 | 38% |
| 20 | $58,000 | $144,573 | $86,573 | 60% |
| 30 | $82,000 | $325,159 | $243,159 | 75% |
The same numbers in today's money
Every figure above is in future dollars. Restating them at 2.5% inflation gives the purchasing power in today's terms, and the effect on the long horizons is substantial: the 30-year figure at 7% falls from $76,123 to $36,291.
A useful shortcut: at 7% nominal and 2.5% inflation, the real rate is (1.07 / 1.025) − 1 = 4.39%. Projecting directly at 4.39% gives the same real answer without the second step.
| Years | Nominal | Real (today's money) | Purchasing power lost |
|---|---|---|---|
| 5 | $14,026 | $12,397 | $1,629 |
| 10 | $19,672 | $15,367 | $4,305 |
| 20 | $38,697 | $23,616 | $15,081 |
| 30 | $76,123 | $36,291 | $39,832 |
Checking any of these by hand
For the no-contribution cases, raise (1 + rate) to the number of years and multiply by 10,000. For the contribution cases, compute the lump sum term the same way at the monthly rate, then add the annuity term.
Worked once, at 7% for 10 years with $200 a month: the monthly rate is 0.0058333 and n is 120. The lump sum term is $10,000 × 1.0058333^120 = $20,096.61. The annuity factor is (1.0058333^120 − 1) / 0.0058333 = 173.0848, giving $34,616.96. The sum is $54,713.58, matching the table.
What waiting five years costs
The tables above vary the horizon from a fixed starting point. The more useful version of that question is what happens when the deposit is delayed: the same $10,000, invested five years later, reaching the same end date.
Delaying $10,000 by five years, with the money still invested until year 30, costs $27,500 at 7% — nearly three times the original deposit. That figure is not a penalty for waiting; it is simply the growth those five years would have produced on everything the deposit had already become.
This is the strongest argument arithmetic can make for acting early, and it requires no market view at all. It only requires the rate to be positive.
| Rate | Invested today (30 years) | Invested in 5 years (25 years) | Cost of waiting |
|---|---|---|---|
| 3% | $24,273 | $20,938 | $3,335 |
| 5% | $43,219 | $33,864 | $9,356 |
| 7% | $76,123 | $54,274 | $21,848 |
| 9% | $132,677 | $86,231 | $46,446 |
Annual compounding, single deposit, no further contributions.
Reading these tables without overreading them
Every figure here is arithmetic, and every figure depends on a rate that is fixed for the whole period. No investment delivers a constant return, so treat any single cell as the midpoint of a wide range rather than as a destination.
The reliable content of these tables is the shape rather than the values: growth accelerates towards the end, higher rates diverge from lower ones far more than the rate gap suggests, and contributions dominate short horizons while compounding dominates long ones. Those relationships hold regardless of which rate turns out to be right.
Used that way, a table like this is a calibration tool. It tells you what magnitude of outcome is plausible from a given deposit, which is usually enough to identify a claim that does not add up.
Scaling these figures to your own numbers
Every figure in the no-contribution tables scales linearly with the deposit, which makes them usable for any starting amount. $10,000 at 7% for 20 years is $38,697, so $25,000 is 2.5 times that — $96,743 — and $4,000 is 0.4 times it, or $15,479.
The contribution tables do not scale as simply, because they combine two terms. But each term scales on its own: double the starting amount and the lump sum portion doubles; double the monthly deposit and the contribution portion doubles. Splitting the result into its two components, as the tables above do, is what makes that possible.
This is why the growth share matters more than the headline figure when comparing plans of different sizes. Two people saving very different amounts can have identically shaped plans, and the share tells you that immediately where the totals do not.
Educational tool. This article explains arithmetic, not personal circumstances. It is general educational content, not investment, tax or insurance advice, and every figure in it is a projection from stated assumptions rather than a prediction. Check any result against your own situation, and see the editorial policy for how this content is produced and corrected.