$100 Invested at 5% for 3 Years
$116.15
Future Value (compounded monthly)
$100 invested at 5% annual compound interest (compounded monthly) for 3 years will grow to $116.15. You earn $16.15 in interest. At 5%, your money doubles in approximately 14.4 years (Rule of 72).
Year-by-Year Growth
| Year | Balance | Interest |
|---|---|---|
| 1 | $105.12 | $5.12 |
| 2 | $110.49 | $10.49 |
| 3 | $116.15 | $16.15 |
Quick Reference Table
| Principal | Rate | Years | Future Value |
|---|---|---|---|
| $100 | 3% | 3 yrs | $109.41 |
| $100 | 4% | 3 yrs | $112.73 |
| $100 | 6% | 3 yrs | $119.67 |
| $100 | 7% | 3 yrs | $123.29 |
| $100 | 5% | 1 yrs | $105.12 |
| $100 | 5% | 2 yrs | $110.49 |
| $100 | 5% | 5 yrs | $128.34 |
| $100 | 5% | 7 yrs | $141.80 |
| $100 | 5% | 10 yrs | $164.70 |
| $100 | 5% | 15 yrs | $211.37 |
Formula Used
A = P(1 + r/n)nt
- P = $100
- r = 5% = 0.05
- n = 12 (monthly)
- t = 3 years
- A = $116.15
Frequently Asked Questions
How much will $100 grow at 5% compound interest in 3 years?
$100 grows to $116.15. Interest earned: $16.15.
How long to double $100 at 5%?
Using the Rule of 72: 72 ÷ 5 ≈ 14.4 years.
What is the compound interest formula?
A = P(1 + r/n)^(nt). P=$100, r=5%=0.05, n=12, t=3.