Savings Shortfall Calculator
Funding gap at the current pace, plus the extra that closes it.
Calculator
Added at the end of each compounding period.
This savings goals calculator compounds monthly (12) at the nominal rate you enter, with contributions added at the end of each period. Compare accounts on APY — it already includes compounding.
Year-by-year growth
Balance, contributions and interest credited each year.
| Year | Balance | Contributed | Interest |
|---|---|---|---|
| 1 | $36,446 | $34,800 | $1,646 |
| 2 | $43,223 | $39,600 | $3,623 |
| 3 | $50,346 | $44,400 | $5,946 |
| 4 | $57,833 | $49,200 | $8,633 |
| 5 | $65,703 | $54,000 | $11,703 |
| 6 | $73,976 | $58,800 | $15,176 |
| 7 | $82,673 | $63,600 | $19,073 |
| 8 | $91,814 | $68,400 | $23,414 |
| 9 | $101,423 | $73,200 | $28,223 |
| 10 | $111,523 | $78,000 | $33,523 |
Results
Funding gap
$0
$111,523
$100,000
$0
Live results update as you type — currently showing funding gap of $0 over 10 years. Replace the defaults with your own figures for an exact plan.
Visualizations
Interest earned each year
What makes up the final balance
Balance growth over time
Formula
Goal math solves the compound equation backwards: the annuity factor converts the unfunded remainder into the per-period contribution that closes it exactly on schedule.
Alternative Form
Variables
| Symbol | Name | Unit | Description |
|---|---|---|---|
| Goal | Target amount | $ | Price of the goal at the deadline |
| P | Already saved | $ | Balance today |
| PMT | Required contribution | $ | Per compounding period |
| N | Periods left | — | n × years remaining |
Explanation
The projection shows where the current pace lands; the required contribution shows the exact pace that lands on the target.
Step-by-Step Calculation
Follow each step to understand how the result is calculated from your inputs.
Grow the $30,000 already saved at 5%
Grow the $400 monthly contributions as an annuity
Compare $111,523 projected vs $100,000 target
Contribution that closes the gap on schedule
Worked Examples
See how the calculator works with different scenarios.
Scenario
The savings shortfall calculator run on the values above, showing the full calculation path rather than only the answer.
Inputs
Calculation
1. Grow the $30,000 already saved at 5% → $49,410 after 10 years 2. Grow the $400 monthly contributions as an annuity → Contributions → $62,113 3. Compare $111,523 projected vs $100,000 target → Surplus = $11,523 4. Contribution that closes the gap on schedule → $326 monthly
Result
Funding gap: $0
Interpretation
Goal math has three levers — amount, time, return. Raising the monthly contribution from $400 to $326 is the lever you control most reliably; chasing return is the least reliable.
Understanding Your Result
Your Result: Funding gap: $0
Typical range: On track: projected $111,523 clears the $100,000 target with $11,523 to spare.
What This Means
The projection shows where the current pace lands; the required contribution shows the exact pace that lands on the target.
Why It Matters
Goal math has three levers — amount, time, return. Raising the monthly contribution from $400 to $326 is the lever you control most reliably; chasing return is the least reliable.
Professional Interpretation
Goal math has three levers — amount, time, return. Raising the monthly contribution from $400 to $326 is the lever you control most reliably; chasing return is the least reliable.
How this is calculated
Goal math solves the compound equation backwards: the annuity factor converts the unfunded remainder into the per-period contribution that closes it exactly on schedule.
What drives the result
PMT = (Goal − P(1+i)^N) ÷ annuity-factor. Timeline inverts the same equation by search; shortfall is simply goal minus projected balance at the current pace.
Recommendations
- •Automate $326 monthly into a separate savings plan account so it never competes with spending.
- •Consider raising the target or bringing the date forward while you are ahead.
- •Revisit yearly: a 1-point return miss over 10 years costs roughly $7,898.
Educational Content
Introduction
Goal math reverses compounding: given a target, a deadline and a return, it tells you the contribution that gets you there — or given a contribution, the date you arrive.
Concept Explanation
PMT = (Goal − P(1+i)^N) ÷ annuity-factor. Timeline inverts the same equation by search; shortfall is simply goal minus projected balance at the current pace.
Applications
Benefits
- •Turns vague goals into a monthly number
- •Shows the cost of delay in concrete terms
- •Separates what automation covers from what needs a higher return
Limitations
- •Assumes a steady return and steady contributions
- •Large goals may imply unrealistic returns — extend time before raising risk
Best Practices
- •Automate the required contribution into a separate account
- •Extend the deadline before chasing yield
- •Revisit yearly as rates and prices move
Common Misconceptions
Practical Tips
- •Automate the required amount into a separate account on payday.
- •Revisit yearly: rate and price drift change the number.
Common Mistakes
Assumptions
This calculator makes the following assumptions to provide estimates:
Limitations
Be aware of these limitations when using this calculator:
Frequently Asked Questions
Answers to common questions about this calculator.
What if the required contribution is unaffordable?
Who uses the savings shortfall calculator?
How accurate is the savings shortfall calculator?
Do these calculators include taxes and inflation?
Why does compounding frequency barely change my result?
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Related Guides
Deepen your understanding with these educational resources.
Nominal vs effective rates, compounding frequency and how to compare accounts.
Turning targets into automated monthly numbers with sinking funds.
When to lock a rate, when to ladder, and what early withdrawal really costs.
Glossary
Technical terms used in mortgage calculations explained in plain language.
- Annuity (contribution stream)
- A series of equal deposits; its future value uses the annuity factor (((1+i)^N − 1) ÷ i).
- Sinking fund
- A dedicated reserve built with regular deposits toward a known future bill.
- APY (annual percentage yield)
- The realised yearly yield after compounding — the honest way to compare deposit accounts.
Authoritative References
Trusted sources and standards referenced by this calculator.
Applicable Standards
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Page Information
2026-09-21
2.0.0
Free to use for educational and professional purposes.