Prepared by Finflo. Our methodology · Editorial policy
Separate your starting money from growth
These balances use $10,000.00, 5% effective annual growth, and no new deposits. The growing difference is modeled interest, not extra money you contributed or a promised return.
| Years | Principal | Interest | Balance |
|---|---|---|---|
| 0 | $10,000.00 | $0.00 | $10,000.00 |
| 1 | $10,000.00 | $500.00 | $10,500.00 |
| 5 | $10,000.00 | $2,762.82 | $12,762.82 |
| 10 | $10,000.00 | $6,288.95 | $16,288.95 |
The balance grows from more than one source
With no contributions, a balance P compounded n times a year at nominal annual rate r for t years is P(1+r/n)^(nt). Contributions add their own future value, and the timing matters: money deposited at the beginning of a period earns for one more period than money deposited at the end.
For $10,000 growing at an effective annual rate of 5% for 10 years without additional deposits, the future balance is about $16,288.95 before taxes and inflation. A projection applies assumptions; it does not predict an investment return.
Nominal and effective rates
A nominal quoted rate with monthly compounding is different from an effective annual rate. For example, 12% nominal compounded monthly has an effective annual rate of approximately 12.6825%. Do not divide an effective annual return by 12 when you need its equivalent monthly rate; use (1+r)^(1/12)−1.
Separate future dollars from purchasing power
Inflation reduces what a future balance can buy. A nominal future amount F, discounted at assumed inflation i for t years, is F/(1+i)^t in today’s purchasing power. That is a scenario using an assumed inflation rate, not a historical consumer-price-index conversion.
Taxes and account rules affect the timing and size of deductions. A simplified tax drag may help illustrate a scenario, but it does not reproduce every investment or tax treatment.