$3,000 Invested at 4% for 3 Years
$3,381.82
Future Value (compounded monthly)
$3,000 invested at 4% annual compound interest (compounded monthly) for 3 years will grow to $3,381.82. You earn $381.82 in interest. At 4%, your money doubles in approximately 18 years (Rule of 72).
Year-by-Year Growth
| Year | Balance | Interest |
|---|---|---|
| 1 | $3,122.22 | $122.22 |
| 2 | $3,249.43 | $249.43 |
| 3 | $3,381.82 | $381.82 |
Quick Reference Table
| Principal | Rate | Years | Future Value |
|---|---|---|---|
| $3,000 | 2% | 3 yrs | $3,185.35 |
| $3,000 | 3% | 3 yrs | $3,282.15 |
| $3,000 | 5% | 3 yrs | $3,484.42 |
| $3,000 | 6% | 3 yrs | $3,590.04 |
| $3,000 | 4% | 1 yrs | $3,122.22 |
| $3,000 | 4% | 2 yrs | $3,249.43 |
| $3,000 | 4% | 5 yrs | $3,662.99 |
| $3,000 | 4% | 7 yrs | $3,967.54 |
| $3,000 | 4% | 10 yrs | $4,472.50 |
| $3,000 | 4% | 15 yrs | $5,460.90 |
Formula Used
A = P(1 + r/n)nt
- P = $3,000
- r = 4% = 0.04
- n = 12 (monthly)
- t = 3 years
- A = $3,381.82
Frequently Asked Questions
How much will $3,000 grow at 4% compound interest in 3 years?
$3,000 grows to $3,381.82. Interest earned: $381.82.
How long to double $3,000 at 4%?
Using the Rule of 72: 72 ÷ 4 ≈ 18 years.
What is the compound interest formula?
A = P(1 + r/n)^(nt). P=$3,000, r=4%=0.04, n=12, t=3.