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Savings

Savings Calculator

Plan savings goals with monthly contributions and compound growth.

Savings parameters

$
$
%
years

Monthly savings needed

$619.98

Save $619.98 each month for 5 years at 6.0% to reach $50,000.00.

Total invested

$42,198.56

84.4% of ending value

Interest earned

$7,801.44

15.6% of ending value

Invested vs interest earned

Ending value$50,000.00
  • Total invested$42,198.5684.4%
  • Interest earned$7,801.4415.6%

How your savings are calculated

Monthly compounding with end-of-month deposits, using the future value of an ordinary annuity when solving for required payments.

  1. Convert annual rate to monthly compounding rate

    r=APR100×12=61200=0.5000%r = \frac{\text{APR}}{100 \times 12} = \frac{6}{1200} = 0.5000\%

    Each month the balance grows by 0.5000% after your deposit is added.

  2. Future value of current savings

    FVcurrent=PV×(1+r)n=$5,000.00×(1+0.5000%)60=$6,744.25FV_{\text{current}} = PV \times (1 + r)^{n} = \$5,000.00 \times (1 + 0.5000\%)^{60} = \$6,744.25

    Your existing $5,000.00 grows to $6,744.25 over 60 months, leaving $43,255.75 still needed.

  3. Solve for required monthly deposit (ordinary annuity)

    PMT=FVremaining×r(1+r)n1=$619.98PMT = \frac{FV_{\text{remaining}} \times r}{(1 + r)^{n} - 1} = \$619.98

    Deposits at month-end compound with the balance. The required payment is $619.98 per month.

Report tool

Plan savings goals with compound growth

A savings calculator answers three practical questions: how much to set aside each month, how long it takes to reach a target, or what you will accumulate if you keep saving at your current pace. This tool models monthly deposits with monthly compounding, the same approach used by many bank and brokerage savings planners.

Choose a calculation mode, enter your goal, current balance, monthly contribution, interest rate, and time horizon. Results update instantly in your browser. For a broader view of compounding mechanics, see the compound interest calculator. To solve for a required SIP toward a fixed target, try the goal SIP calculator.

Three calculation modes

  • Monthly savings: Given a goal, current balance, time horizon, and expected return, find the monthly deposit needed after your existing savings grow on their own.
  • Time to goal: Given a goal, starting balance, fixed monthly deposit, and return, iterate month by month until the balance reaches the target.
  • Final balance: Given a monthly deposit, starting balance, return, and time horizon, project what you will accumulate.

Core formulas

The monthly interest rate converts the annual percentage rate (APR) to a per-month compounding rate:

r=APR100×12r = \frac{\text{APR}}{100 \times 12}

Each month the balance updates with an end-of-month deposit (ordinary annuity timing):

Bm=(Bm1+PMT)×(1+r)B_m = (B_{m-1} + PMT) \times (1 + r)

When solving for the required monthly payment toward a remaining goal amount, the future value of an ordinary annuity applies:

PMT=FVremaining×r(1+r)n1PMT = \frac{FV_{\text{remaining}} \times r}{(1 + r)^{n} - 1}

First subtract the future value of your current savings from the goal. That remaining amount is FV remaining in the formula above.

Worked example: monthly savings mode

You want $50,000 in 5 years, already have $5,000 saved, and expect 6% annual interest compounded monthly. With r = 0.5% per month and n = 60 months, your $5,000 grows to about $6,744. The remaining $43,256 requires a monthly deposit of about $620. Over 60 months you invest $42,200 total ($5,000 starting plus $37,200 in deposits) and compound interest contributes roughly $7,800 toward the $50,000 goal.

Practical planning tips

  1. Use a conservative return assumption. High-yield savings accounts may yield 4% to 5%, while diversified portfolios might target higher long-run averages with more volatility.
  2. Automate transfers on payday so the monthly deposit happens before discretionary spending.
  3. Revisit the plan annually. Raises, bonuses, or changed goals should trigger a fresh calculation.
  4. Keep emergency cash separate. A dedicated emergency fund calculator helps you avoid dipping into goal-oriented savings.

Frequently asked questions

What interest rate should I use?
Match the rate to where you actually save or invest. Use your savings account APY for cash goals, or a conservative long-run return estimate for investment accounts. Lower assumptions produce safer plans.
Does this account for taxes or inflation?
No. Results are pre-tax nominal dollars. For inflation-adjusted projections, pair this tool with assumptions about real returns or use a dedicated inflation-adjusted calculator.
Why end-of-month deposits instead of beginning-of-month?
End-of-month (ordinary annuity) timing matches many automatic transfer schedules and standard savings calculator references. Beginning-of-month deposits would compound slightly faster because each payment earns a full extra month of interest.
What if my current savings already exceed the goal?
In monthly savings mode the required deposit drops to zero because your existing balance is projected to reach the target on its own at the assumed return.
Can I share my scenario with someone else?
Yes. Inputs sync to the page URL, so you can bookmark or copy the link to share your exact assumptions.
How is this different from a retirement calculator?
This tool focuses on generic savings goals with flexible targets and horizons. Retirement calculators add age-based rules, Social Security, employer matches, and withdrawal phases.

Resources and references

The formulas and methods in this calculator were checked against these independent sources.