Recurring Savings Calculator

Recurring Savings is evaluated from Initial Balance, Deposit Amount and Deposit Frequency. The calculation reports Total Amount Deposited, Interest Earned and Final Balance.

Results

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About the Recurring Savings Calculator

Recurring Savings is treated here as a quantitative relation between Initial Balance, Deposit Amount, Deposit Frequency and Annual Interest Rate and Total Amount Deposited, Interest Earned and Final Balance.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
Future Value of Deposits = PMT x [(1+r)^n - 1] / r
Future Value of Initial Balance = PV x (1 + annual_rate)^years
Final Balance = FV(deposits) + FV(initial)
Where r = APY / deposit frequency, n = total deposit periods
Interest Earned = Final Balance - Total Deposits

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

Future Value of Deposits = PMT x [(1+r)^n - 1] / r
Future Value of Initial Balance = PV x (1 + annual_rate)^years
Final Balance = FV(deposits) + FV(initial)
Where r = APY / deposit frequency, n = total deposit periods
Interest Earned = Final Balance - Total Deposits

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: Monthly Auto-Transfer to HYSA

Inputs

initial_balance: 2000 deposit: 500 frequency: 12 annual_rate: 4.85 years: 5
Total Amount Deposited: $32,000. Interest Earned: $4,408. Final Balance: $36,407.6

With Initial Balance = 2,000, Deposit Amount = 500, Deposit Frequency = 12 and Annual Interest Rate = 4.85 as the stated inputs, the result is Total Amount Deposited = $32,000, Interest Earned = $4,408 and Final Balance = $36,407.6. Each value corresponds to the declared output fields.

Example 2: Bi-Weekly Savings — Match Pay Schedule

Inputs

initial_balance: 0 deposit: 250 frequency: 26 annual_rate: 4.75 years: 10
Total Amount Deposited: $65,000. Interest Earned: $18,107. Final Balance: $83,106.6

With Initial Balance = 0, Deposit Amount = 250, Deposit Frequency = 26 and Annual Interest Rate = 4.75 as the stated inputs, the result is Total Amount Deposited = $65,000, Interest Earned = $18,107 and Final Balance = $83,106.6. Each value corresponds to the declared output fields.

Example 3: Round-Up App + Weekly Micro-Savings

Inputs

initial_balance: 500 deposit: 25 frequency: 52 annual_rate: 5 years: 3
Total Amount Deposited: $4,400. Interest Earned: $384. Final Balance: $4,784.33

With Initial Balance = 500, Deposit Amount = 25, Deposit Frequency = 52 and Annual Interest Rate = 5 as the stated inputs, the result is Total Amount Deposited = $4,400, Interest Earned = $384 and Final Balance = $4,784.33. Each value corresponds to the declared output fields.

Example 4: Roth IRA Monthly Contribution — Max Out

Inputs

initial_balance: 10000 deposit: 583 frequency: 12 annual_rate: 8 years: 20
Total Amount Deposited: $149,920. Interest Earned: $240,088. Final Balance: $390,008.47

With Initial Balance = 10,000, Deposit Amount = 583, Deposit Frequency = 12 and Annual Interest Rate = 8 as the stated inputs, the result is Total Amount Deposited = $149,920, Interest Earned = $240,088 and Final Balance = $390,008.47. Each value corresponds to the declared output fields.

Common Use Cases

  • See how regular automatic transfers will grow your savings account
  • Plan a recurring savings goal for a vacation, emergency fund, or purchase
  • Compare the impact of different deposit frequencies