Mathematical Formula & Method
Savings Calculator Formula
Future Value = P(1+r/n)^(nt) + PMT × [((1+r/n)^(nt) − 1) / (r/n)]
Worked Examples & Step-by-Step Solutions
$5,000 initial + $300/mo at 7% for 10 years
- Total Principal Invested: $5,000 + ($300 × 120) = $41,000.
- Total Future Value: ~$61,438.45.
- Total Compound Interest Earned: ~$20,438.45.
How to Use the Savings Calculator
- Enter initial balance, monthly addition, interest rate, and years to save.
Important Assumptions & Unit Conventions
- Assumes constant rate of return and regular monthly deposits.
Frequently Asked Questions
What is the power of compounding in savings?
Over long horizons, interest earned on previous interest often outpaces your own monthly cash contributions.
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