Monthly Deposit Savings Calculator with Compounding Comparison

Monthly Deposit Savings Calculator with Compounding Comparison

Monthly Deposit Savings Calculator

Calculate your savings growth with regular monthly deposits and compare different compounding frequencies

Savings Plan
Compounding Options


This calculator helps users determine how long it will take to reach a savings goal with regular monthly deposits, while comparing different compounding frequencies (monthly, quarterly, semi-annually, or annually).


1. Key Features

✅ Inputs:

  • Initial deposit

  • Monthly deposit amount

  • Annual interest rate (%)

  • Target savings goal

  • Compounding frequency options (monthly, quarterly, semi-annually, annually)

✅ Outputs:

  • Time required (in years & months) to reach the goal

  • Total contributions (sum of all deposits)

  • Total interest earned

  • Comparison table showing how different compounding frequencies affect growth


2. How It Works (Formula)

The future value of a savings plan with regular deposits + compounding interest is calculated using:

Future Value Formula

FV=P×(1+rn)nt+PMT×((1+rn)nt1rn)

Where:

  • FV = Future Value (target amount)

  • P = Initial deposit

  • PMT = Monthly deposit

  • r = Annual interest rate (decimal)

  • n = Compounding periods per year

  • t = Time in years

Since we solve for t, logarithmic methods or iterative calculations are used.


3. Compounding Comparison

The calculator compares how different compounding frequencies impact growth:

CompoundingPeriods/Year (n)Impact on Growth
Annually1Slowest growth
Semi-Annually2Moderate growth
Quarterly4Faster growth
Monthly12Fastest growth

Example:

  • $10,000 goal, $200/month, 5% interest:

    • Monthly compounding: Reached in ~7.1 years

    • Annual compounding: Reached in ~7.4 years


4. Example Calculation

Scenario:

  • Initial deposit = $1,000

  • Monthly deposit = $150

  • Annual interest rate = 6%

  • Target amount = $25,000

CompoundingTime RequiredTotal DepositsInterest Earned
Monthly (n=12)10.2 years$19,360$5,640
Quarterly (n=4)10.4 years$19,720$5,280
Annually (n=1)10.7 years$20,260$4,740

Conclusion: More frequent compounding reduces time needed and increases interest earned.


5. Benefits of This Calculator

✔ Visual Comparison – See how compounding frequency affects growth.
✔ Better Financial Decisions – Choose accounts with higher compounding rates.
✔ Adjustable Inputs – Test different deposit amounts & interest rates.
✔ Goal Tracking – Know exactly when you’ll reach your target.


6. Applications

  • Retirement planning (401k, IRA growth)

  • Emergency fund building

  • Saving for a house/car down payment

  • Education fund (529 plans)