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Savings account comparison — target starting balance

Compare two account rates after fees and a consistent deposit schedule. Numerically solve for starting balance from a desired higher projected account balance, within your chosen search range.

Five planning modes, one calculator topic

These modes share an underlying model, not five unrelated formulas. This advanced mode is excluded from search indexing. Visit the main savings account comparison calculator for the topic overview.

Planning mode: Numerically solve for starting balance from a desired higher projected account balance, within your chosen search range. Adjust the inputs to fit your situation. Related tools share an underlying model, with distinct calculation, reverse-solve, comparison and sensitivity functions.

Your numbers

$

Find starting balance while holding your other settings constant.

$
$
$
%
%
$
years

Required starting balance

$10,000

Closest modeled result: $22,936.02.

Target headline value
22,936.02
Calculated headline value
$22,936.02
Absolute target difference
0
Account A balance
$22,936.02
Account B balance
$22,569.17
Account A monthly fee
$0
Balance difference
$366.85

Assumptions to check

  • Rates, fees, taxes and conditions can change.
  • Requires a monotonic headline response within the chosen range. Rounded outputs, thresholds and discontinuities limit precision.

How this is calculated

Bounded bisection search for starting balance, holding other inputs constant. Model each account with the same deposit schedule, entered APY and fees.
  1. 1Evaluate the chosen range and numerically narrow the solution.
  2. 2Return the closest input at the allowed precision; a whole-unit solution may not exactly reach the target.

Assumptions and limits

  • Rates and fees are held constant. Tax effects and promotional terms are excluded.
  • Rates, fees, taxes and conditions can change.
  • Requires a monotonic headline response within the chosen range. Rounded outputs, thresholds and discontinuities limit precision.

Practical guide

Understanding savings account comparison — target starting balance

Everyday editorial team · GEOINNOVATION CO., LTD · Published · Updated

What this calculation is for

A savings-account comparison puts balances, deposits, yields and recurring fees on the same timeline. A small APY difference can be outweighed by a monthly account fee, especially at modest balances.

How the method works

Both accounts start with the same principal and monthly contribution schedule. Each uses its own assumed APY, while the specifically labeled account fee reduces the applicable contribution stream. The displayed model uses: Calculate monthly growth and contributions separately for each account, then subtract fees.

A worked example

For an illustrative savings account comparison scenario, use Starting balance: 10000 $; Monthly deposit: 300 $; Account A APY: 4.5 %; Account B APY: 3.75 %; Monthly fee for account A: 0 $; Comparison term: 3 years. The modeled higher projected account balance is $22,936.02. These are example assumptions, not current prices, official benefit amounts or personalized advice.

Assumptions and real-world differences

Rate tiers, promotional expiration, minimum balances, fee waivers and taxes are not looked up. Do not enter a monthly fee again if you already reduced the deposit by that fee. Rates and fees are held constant. Tax effects and promotional terms are excluded.

Solving for starting balance

This reverse calculation searches for a starting balance that makes the model’s headline measure approach your target. Set a lower and upper search bound, leave the other assumptions consistent, and inspect the achieved result and target difference. The returned number is an input, not the original model’s output. A bounded solution can be approximate when the allowed input step rounds values.

Reproduce this tool’s example

These fixed example inputs are independent of edits you make above. Enter them in this tool to reproduce the result, then replace them with your own assumptions.

Target: higher projected account balance
22,936.02 $
Minimum starting balance
5,000 $
Maximum starting balance
15,000 $
Monthly deposit
300 $
Account A APY
4.5 %
Account B APY
3.75 %
Monthly fee for account A
0 $
Comparison term
3 years

Required starting balance: $10,000

Closest modeled result: $22,936.02.

  • Target headline value: 22,936.02
  • Calculated headline value: $22,936.02
  • Absolute target difference: 0

Frequently asked questions

Is the larger projected balance a bank recommendation?
No. Access, deposit protection, account requirements and future terms also matter.
Which inputs should I check before using this savings account comparison estimate?
Check starting balance, monthly deposit, account a apy, account b apy, monthly fee for account a, comparison term. Match each field’s unit and time period, then compare the detailed rows rather than treating the headline alone as the complete answer.
Why might there be no exact required starting balance?
The target may be outside the search range. Rounded outputs, whole-item counts, tax thresholds and flat responses can also prevent an exact solution. Bisection requires a monotonic response within the chosen range; do not interpret a failed search as a real-world impossibility.

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