$3,000 Invested at 8% for 3 Years
$3,810.71
Future Value (compounded monthly)
$3,000 invested at 8% annual compound interest (compounded monthly) for 3 years will grow to $3,810.71. You earn $810.71 in interest. At 8%, your money doubles in approximately 9 years (Rule of 72).
Year-by-Year Growth
| Year | Balance | Interest |
|---|---|---|
| 1 | $3,249.00 | $249.00 |
| 2 | $3,518.66 | $518.66 |
| 3 | $3,810.71 | $810.71 |
Quick Reference Table
| Principal | Rate | Years | Future Value |
|---|---|---|---|
| $3,000 | 6% | 3 yrs | $3,590.04 |
| $3,000 | 7% | 3 yrs | $3,698.78 |
| $3,000 | 9% | 3 yrs | $3,925.94 |
| $3,000 | 10% | 3 yrs | $4,044.55 |
| $3,000 | 8% | 1 yrs | $3,249.00 |
| $3,000 | 8% | 2 yrs | $3,518.66 |
| $3,000 | 8% | 5 yrs | $4,469.54 |
| $3,000 | 8% | 7 yrs | $5,242.27 |
| $3,000 | 8% | 10 yrs | $6,658.92 |
| $3,000 | 8% | 15 yrs | $9,920.76 |
Formula Used
A = P(1 + r/n)nt
- P = $3,000
- r = 8% = 0.08
- n = 12 (monthly)
- t = 3 years
- A = $3,810.71
Frequently Asked Questions
How much will $3,000 grow at 8% compound interest in 3 years?
$3,000 grows to $3,810.71. Interest earned: $810.71.
How long to double $3,000 at 8%?
Using the Rule of 72: 72 ÷ 8 ≈ 9 years.
What is the compound interest formula?
A = P(1 + r/n)^(nt). P=$3,000, r=8%=0.08, n=12, t=3.