📖 Overview
Use this upgraded calculator to model emergency-fund timelines with contribution plus savings growth.
⚙️ How It Works
This model simulates monthly growth by applying return to balance and then adding your monthly contribution until target is reached.
The Formula
Each month: Balance = Balance × (1 + r) + Monthly Contribution (repeat until Balance ≥ Target)
| r | Monthly return rate = Annual rate ÷ 12 ÷ 100 |
| Balance | Running total after each month of growth and contribution |
💡Even a modest 3% annual return on a HYSA or bond fund meaningfully reduces time to goal for large targets. For $50,000, 3% shaves ~27 months versus zero return.
Quick Reference
| Target | $300/mo @ 0% | $300/mo @ 3% | $300/mo @ 5% |
|---|---|---|---|
| $5,000 | 17 mo | 17 mo | 16 mo |
| $10,000 | 34 mo | 32 mo | 31 mo |
| $20,000 | 67 mo | 61 mo | 57 mo |
| $50,000 | 167 mo | 140 mo | 122 mo |
Practical Tips
💡 Use realistic return assumptions for cash-like accounts.
💡 Increase contribution amount to test faster timelines.
Frequently Asked Questions
❓ Why is this better than simple division?
It includes compounding and starting balance effects.
❓ Can this model market volatility?
No, it assumes a steady return rate for planning purposes.