Auto Loan Calculator

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

Results

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About the Auto Loan Calculator

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

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]
Where P = loan amount, r = APR / 1200, n = term in months
Total Interest = (Monthly Payment x n) - P

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]
Where P = loan amount, r = APR / 1200, n = term in months
Total Interest = (Monthly Payment x n) - P

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: New Midsize Sedan

Inputs

principal: 28000 annual_rate: 6.5 term_months: 60
Monthly Payment: $547.85. Total Repayment: $33,418.85. Total Interest: $4,871.09

With Loan Amount = 28,000, Annual Interest Rate = 6.5 and Loan Term = 60 as the stated inputs, the result is Monthly Payment = $547.85, Total Repayment = $33,418.85 and Total Interest = $4,871.09. Each value corresponds to the declared output fields.

Example 2: Used Car Loan

Inputs

principal: 14000 annual_rate: 9.5 term_months: 48
Monthly Payment: $351.72. Total Repayment: $17,234.28. Total Interest: $2,882.8

With Loan Amount = 14,000, Annual Interest Rate = 9.5 and Loan Term = 48 as the stated inputs, the result is Monthly Payment = $351.72, Total Repayment = $17,234.28 and Total Interest = $2,882.8. Each value corresponds to the declared output fields.

Example 3: SUV — Longer Term Warning

Inputs

principal: 42000 annual_rate: 7 term_months: 84
Monthly Payment: $633.89. Total Repayment: $53,880.65. Total Interest: $11,247.06

With Loan Amount = 42,000, Annual Interest Rate = 7 and Loan Term = 84 as the stated inputs, the result is Monthly Payment = $633.89, Total Repayment = $53,880.65 and Total Interest = $11,247.06. Each value corresponds to the declared output fields.

Example 4: 48-Month vs 72-Month Comparison

Inputs

principal: 22000 annual_rate: 6.99 term_months: 48
Monthly Payment: $526.72. Total Repayment: $25,282.56. Total Interest: $3,282.29

With Loan Amount = 22,000, Annual Interest Rate = 6.99 and Loan Term = 48 as the stated inputs, the result is Monthly Payment = $526.72, Total Repayment = $25,282.56 and Total Interest = $3,282.29. Each value corresponds to the declared output fields.

Common Use Cases

  • Estimate monthly car payment before visiting a dealership
  • Compare financing versus paying cash
  • Evaluate different loan terms and down payments