Savings Goal & Timeline Calculator
Determine the exact periodic contribution needed to achieve a target financial savings goal within a set timeframe using sinking fund formulas.
Target Savings Parameters
Calculate required periodic deposits to reach your goal
Total target capital you want to accumulate
Funds currently saved toward this goal (leave empty for $0)
High-yield savings or investment return
Required Savings Plan
Awaiting inputEnter target goal and timeframe above to calculate required savings
Results, statistical ratios, and detailed amortization ledgers will appear here once values are provided.
Where FV is the target amount, PV is initial savings,r is the periodic interest rate, and n is the number of contribution periods.
The sinking fund equation automatically accounts for both the compound growth of your starting balance and the compounding interest earned on each recurring deposit throughout the savings horizon.
Calculation Methodology & Formula
Uses the standard sinking fund ordinary annuity formula to solve for the recurring payment needed so that current principal plus accumulated compound contributions exactly reach the target future value.
PMT = [FV - PV(1+r)^n] × r / [(1+r)^n - 1]Worked Example: $50,000 Down Payment Fund in 3 Years
Starting with $5,000, saving for a $50,000 target over 3 years (36 months) in a high-yield savings account earning 4.5% APY.
Initial $5,000 grows with compound interest to $5,714.28. The remaining $44,285.72 is accumulated through monthly deposits of $1,114.77 plus reinvested interest.
Technical Constraints & Limitations
- Assumes a constant annual percentage yield (APY) across the entire investment horizon.
- Excludes capital gains or interest income taxes applicable in your local jurisdiction.
- Contributions are assumed at the end of each period (ordinary annuity).