AI Required Monthly Contribution Calculator
Use this tool to solve for the most actionable number in your financial plan: the **monthly contribution** required to hit your future savings goal. It automatically adjusts your target for inflation and subtracts the growth of your current savings.
Inflated Target Goal: $0
Future Value from Current Savings: $0
The Calculation: Solving for Payment (PMT) in TVM
To find the required **Monthly Contribution** (Payment or $PMT$), we must isolate the contribution component of the Time Value of Money (TVM) equation.
Three-Step Mathematical Breakdown
The final required contribution must satisfy the amount remaining after the initial savings have grown.
- **Step 1: Calculate the Inflated Target Goal ($FV_{inflated}$) at year $N$:**
- **Step 2: Calculate the Future Value of Current Savings ($FV_{PV}$):**
- **Step 3: Solve for the Required Monthly Contribution ($PMT$):**
$$FV_{inflated} = FV_{today} (1 + I_{annual})^N$$
$$FV_{PV} = PV (1 + R_{monthly})^{N_{months}}$$
The required monthly contribution is the target annuity needed ($FV_{Annuity}$) divided by the Annuity Future Value Factor ($FVA$).
$$PMT = \frac{FV_{inflated} - FV_{PV}}{\left[ \frac{(1+r)^n - 1}{r} \right] (1+r)}$$
Where $r$ is the monthly rate ($R_{annual}/12$) and $n$ is the total number of months. The $(1+r)$ at the end accounts for contributions made at the *beginning* of the month.
Actionable Finance: Closing the Gap
If your calculated **Required Monthly Contribution** is higher than what you can afford, you have three primary levers to adjust: **Target Goal**, **Time to Goal**, or **Expected Return**. Using the slider to increase the **Years Until Target Goal** is the most powerful tool, as it dramatically lowers the required monthly payment by allowing compound returns more time to work their magic.
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