Amortization Schedule Calculator

Amortization Schedule is evaluated from Loan Amount, Annual Interest Rate and Loan Term. The calculation reports Monthly Payment, Total Repayment and Total Interest Paid.

Results

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About the Amortization Schedule Calculator

Amortization Schedule is treated here as a quantitative relation between Loan Amount, Annual Interest Rate and Loan Term and Monthly Payment, Total Repayment and Total Interest Paid.

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

Formula basis:
Monthly Payment = P x r x (1 + r)ⁿ / [(1 + r)ⁿ - 1] (constant)
Interest Portion(m) = Remaining Balance(m-1) x r
Principal Portion(m) = Monthly Payment - Interest Portion(m)
Remaining Balance(m) = Remaining Balance(m-1) - Principal Portion(m)
Where r = monthly rate = APR / 1200, n = total months

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:

Monthly Payment = P x r x (1 + r)ⁿ / [(1 + r)ⁿ - 1] (constant)
Interest Portion(m) = Remaining Balance(m-1) x r
Principal Portion(m) = Monthly Payment - Interest Portion(m)
Remaining Balance(m) = Remaining Balance(m-1) - Principal Portion(m)
Where r = monthly rate = APR / 1200, n = total months

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: 30-Year Mortgage — First and Last Year

Inputs

principal: 300000 annual_rate: 7 term_months: 360
Monthly Payment: $1,995.91. Total Repayment: $718,527.6. Total Interest Paid: $418,524.05

With Loan Amount = 300,000, Annual Interest Rate = 7 and Loan Term = 360 as the stated inputs, the result is Monthly Payment = $1,995.91, Total Repayment = $718,527.6 and Total Interest Paid = $418,524.05. Each value corresponds to the declared output fields.

Example 2: 5-Year Auto Loan — Halfway Check

Inputs

principal: 35000 annual_rate: 6.5 term_months: 60
Monthly Payment: $684.82. Total Repayment: $41,089.2. Total Interest Paid: $6,088.83

With Loan Amount = 35,000, Annual Interest Rate = 6.5 and Loan Term = 60 as the stated inputs, the result is Monthly Payment = $684.82, Total Repayment = $41,089.2 and Total Interest Paid = $6,088.83. Each value corresponds to the declared output fields.

Example 3: 10-Year Home Equity Loan — Impact of Extra Payment

Inputs

principal: 50000 annual_rate: 8.5 term_months: 120
Monthly Payment: $619.93. Total Repayment: $74,391.6. Total Interest Paid: $24,391.29

With Loan Amount = 50,000, Annual Interest Rate = 8.5 and Loan Term = 120 as the stated inputs, the result is Monthly Payment = $619.93, Total Repayment = $74,391.6 and Total Interest Paid = $24,391.29. Each value corresponds to the declared output fields.

Example 4: Personal Loan — Full 3-Year Schedule

Inputs

principal: 15000 annual_rate: 11 term_months: 36
Monthly Payment: $491.08. Total Repayment: $18,169.96. Total Interest Paid: $2,678.91

With Loan Amount = 15,000, Annual Interest Rate = 11 and Loan Term = 36 as the stated inputs, the result is Monthly Payment = $491.08, Total Repayment = $18,169.96 and Total Interest Paid = $2,678.91. Each value corresponds to the declared output fields.

Common Use Cases

  • See exactly how each payment is split between interest and principal
  • Find remaining loan balance at any point in time
  • Calculate total interest paid after a set number of payments