$1,000 at 5% for 10 years, compounded annually
- Input
- Principal = $1,000, Rate = 5% per year, Time = 10 years, Compounding = annual (m = 1)
- Working
- Future value = 1,000 × (1.05)^10. Year by year: $1,050.00, $1,102.50, $1,157.62, $1,215.51, $1,276.28, $1,340.10, $1,407.10, $1,477.46, $1,551.33, $1,628.89. Note how the yearly gain grows from $50.00 in year 1 to $77.56 in year 10 — that widening gap is compounding.
- Result
- $1,000 grows to $1,628.89; interest earned = $628.89