$100 Invested at 3% for 3 Years
$109.41
Future Value (compounded monthly)
$100 invested at 3% annual compound interest (compounded monthly) for 3 years will grow to $109.41. You earn $9.41 in interest. At 3%, your money doubles in approximately 24 years (Rule of 72).
Year-by-Year Growth
| Year | Balance | Interest |
|---|---|---|
| 1 | $103.04 | $3.04 |
| 2 | $106.18 | $6.18 |
| 3 | $109.41 | $9.41 |
Quick Reference Table
| Principal | Rate | Years | Future Value |
|---|---|---|---|
| $100 | 1% | 3 yrs | $103.04 |
| $100 | 2% | 3 yrs | $106.18 |
| $100 | 4% | 3 yrs | $112.73 |
| $100 | 5% | 3 yrs | $116.15 |
| $100 | 3% | 1 yrs | $103.04 |
| $100 | 3% | 2 yrs | $106.18 |
| $100 | 3% | 5 yrs | $116.16 |
| $100 | 3% | 7 yrs | $123.34 |
| $100 | 3% | 10 yrs | $134.94 |
| $100 | 3% | 15 yrs | $156.74 |
Formula Used
A = P(1 + r/n)nt
- P = $100
- r = 3% = 0.03
- n = 12 (monthly)
- t = 3 years
- A = $109.41
Frequently Asked Questions
How much will $100 grow at 3% compound interest in 3 years?
$100 grows to $109.41. Interest earned: $9.41.
How long to double $100 at 3%?
Using the Rule of 72: 72 ÷ 3 ≈ 24 years.
What is the compound interest formula?
A = P(1 + r/n)^(nt). P=$100, r=3%=0.03, n=12, t=3.