Save $10,000 in 3 years at 6%
- Input
- Target = $10,000, Current balance = $0, Rate = 6% per year, Time = 36 months
- Working
- Monthly rate r = 6 / 1200 = 0.005. Deposit = 10,000 × 0.005 / ((1.005)^36 − 1) = 50 / 0.19668 ≈ $254.22. Check: deposits total $9,151.92, and growth at 6% supplies the remaining $848.08 to reach $10,000 (figures rounded to cents along the way).
- Result
- Deposit ≈ $254.22/month (versus $277.78/month with no interest)