Savings Goal Formula Explained

This reference explains the Savings Goal formula used by our free Savings Goal Calculator. Use it to understand variables, units, and common mistakes before you calculate.

The formula

Savings Goal Calculator formula

Variables and units

• FV — Future value (savings goal) ($)
• PMT — Monthly savings contribution ($)
• r — Monthly interest rate (decimal)
• n — Number of months (months)

Worked example

Inputs: Goal $20,000, $300/month, 4% annual return, starting from $0

1. r = 0.04/12 = 0.003333, n = ?
2. Using annuity formula: n ≈ 62 months (5.2 years)

Result: Reach $20,000 in roughly 5 years 2 months at $300/month

When to use this formula

Use this formula when you need a quick savings goal estimate with values you already know. Our Savings Goal Calculator applies the same relationship automatically so you can verify handwritten work.

Common mistakes

• Ignoring inflation when setting nominal goals
• Using savings account rate for long-term stock market goals
• Not accounting for irregular income when setting monthly PMT

Frequently asked questions