Penfed Credit Union Auto Loan Calculator
Use this PenFed Credit Union Auto Loan Calculator to estimate your monthly payments, total interest, and loan cost for an auto loan. Simply enter your loan amount, interest rate, and loan term to get an instant calculation.
How to Use This Calculator
To use the PenFed Credit Union Auto Loan Calculator:
- Enter the loan amount you're considering in the "Loan Amount" field.
- Input the annual interest rate offered by PenFed Credit Union in the "Interest Rate" field.
- Select the loan term in years from the dropdown menu.
- Click the "Calculate" button to see your estimated monthly payment, total interest, and total cost of the loan.
- Review the amortization chart to see how your loan balances over time.
The calculator uses the standard auto loan payment formula to provide accurate estimates. Keep in mind that actual loan terms and rates may vary based on your creditworthiness and PenFed's current lending policies.
Formula Used
The calculator uses the following formula to calculate your monthly auto loan payment:
Monthly Payment = P × [r(1 + r)n] / [(1 + r)n - 1]
Where:
- P = Principal loan amount
- r = Monthly interest rate (annual rate divided by 12)
- n = Number of payments (loan term in years × 12)
This formula calculates the fixed monthly payment required to pay off the loan over the specified term, including both principal and interest.
Worked Example
Let's calculate an example auto loan payment with the following details:
- Loan Amount: $25,000
- Interest Rate: 4.5% (0.045)
- Loan Term: 5 years (60 months)
Using the formula:
Monthly Payment = $25,000 × [0.00375(1 + 0.00375)60] / [(1 + 0.00375)60 - 1]
Calculating the components:
- Monthly interest rate (r) = 0.045 / 12 = 0.00375
- (1 + r)n = (1.00375)60 ≈ 1.276
- Numerator = 0.00375 × 1.276 ≈ 0.00477
- Denominator = 1.276 - 1 = 0.276
- Monthly Payment ≈ $25,000 × (0.00477 / 0.276) ≈ $25,000 × 0.0173 ≈ $432.50
So, with these terms, your estimated monthly payment would be $432.50. The total interest paid would be approximately $3,800, and the total cost of the loan would be $28,800.