Savings Calculator

Calculate how your savings can grow over time with interest.

Finance
Savings Goal Calculator
Calculate how long it will take to reach your savings goal.

Plan and Achieve Your Savings Goals

This Savings Goal Calculator helps you create a plan to reach your financial targets. Enter your savings goal, your initial deposit, your planned monthly contributions, and an estimated annual interest rate. The tool will then project how long it will take for you to reach your goal, illustrating the power of consistent saving and compound interest.

The Formula Explained

The calculator uses a logarithmic formula derived from the future value of a series to solve for the number of periods (months) it will take to reach a goal. n = ln( (FVr + PMT) / (PVr + PMT) ) / ln(1 + r)

  • n: Number of months
  • FV: Future Value (your savings goal)
  • PV: Present Value (your initial amount)
  • PMT: Monthly payment (your contribution)
  • r: Monthly interest rate

How to Use the Calculator

  1. Savings Goal: Enter the total amount you want to save.
  2. Initial Amount: Input the money you have already saved.
  3. Monthly Contribution: Enter the amount you will save each month.
  4. Annual Interest Rate (%): Input the estimated annual return on your savings (e.g., from a high-yield savings account).

Real-World Example

You want to save $20,000 for a down payment on a house. You already have $5,000 saved. You plan to save $500 per month in an account that earns 4% annual interest.

  • The calculator will show that it will take approximately 28 months (2 years and 4 months) to reach your goal.

Frequently Asked Questions (FAQ)

  • What interest rate should I use? For a high-yield savings account, you can use the current APY. If you are investing the money, you could use a conservative estimated return (e.g., 5-7%), but remember that investment returns are not guaranteed.
  • What if the calculator shows a very long time? If the time to reach your goal is too long, you have two main options: increase your monthly contribution or find a way to get a higher rate of return (which may involve more risk).
  • Does this account for taxes? No, this calculator does not account for any taxes you might owe on the interest earned.