How to Calculate Savings Growth

A savings calculator projects how your money grows over time with regular deposits and compound interest. It helps you plan for emergencies, goals, and retirement.

The Formula

FV = PV(1 + r/n)^(nt) + PMT[((1+r/n)^(nt)-1)/(r/n)]

Where:

FVFuture ValueTotal savings after time period
PVPresent ValueInitial deposit or current balance
PMTRegular DepositAmount added each compounding period
rAnnual RateYearly interest rate as decimal

Step-by-Step Example

Here's how to calculate savings growth step by step:

  1. 1Set your inputs: Note your initial deposit, monthly contribution, interest rate, and time horizon.
  2. 2Calculate lump sum growth: Apply the compound interest formula to your initial deposit.
  3. 3Calculate contribution growth: Use the annuity formula for your regular deposits.
  4. 4Add both results: Sum the two values to get your total future savings.

Following these 4 steps gives you the final savings growth value.

Skip the Math

Starting with $1,000 and adding $200/month at 4.5% APY for 10 years, you would accumulate roughly $31,400.

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Why You Need This Calculation

  • Projecting savings growth helps you set realistic goals and choose the right savings account.

Common Mistakes

Using nominal rate instead of APY.

Use the APY to account for compounding when comparing accounts.

Forgetting inflation erodes savings.

Subtract the inflation rate from your interest rate for real returns.

Not factoring in taxes on interest.

Interest income is taxable; account for your tax bracket in projections.

Frequently Asked Questions