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Payment Calculator

Calculate loan payments with different compounding frequencies and payment types

Loan Details

$
$
%
Total periods: 180 months
Monthly Payment
$0.00
Loan Amount
$200,000.00
Loan Term
15 years

Payment Breakdown

Principal 50.0%
Interest 50.0%
Principal
$200,000.00
Total Interest
$0.00
Total of 180 Payments$0.00
Total Amount Paid$0.00

Loan Balance Over Time

$0.00$0.00$0.00$0.00$0
Month 0Month 90Month 180
Starting Balance
$200,000.00
Mid-point Balance
$0.00
Final Balance
$0.00

Understanding Payment Calculations

Payment Formula

This calculator uses the standard annuity formula to compute loan payments:

PMT = [PV × r × (1 + r)^n] / [(1 + r)^n - 1]
  • PMT = Payment amount per period
  • PV = Present Value (loan amount)
  • r = Interest rate per payment period
  • n = Total number of payment periods

Compounding Frequency

Compounding frequency affects how often interest is calculated and added to the principal:

  • Monthly: Interest compounds 12 times per year
  • Quarterly: Interest compounds 4 times per year
  • Semi-Annually: Interest compounds 2 times per year
  • Annually: Interest compounds once per year

More frequent compounding results in slightly higher effective rates and payments.

Payment Type

  • End of Period: Payments are made at the end of each period (most common for loans)
  • Beginning of Period: Payments are made at the start of each period, resulting in slightly lower payment amounts

Balloon Payments

A balloon payment is a large payment due at the end of the loan term. When you include a balloon payment:

  • • Monthly payments are lower during the loan term
  • • The balloon amount is paid in full at the final payment
  • • Common in commercial loans and some auto financing
  • • Requires planning to ensure funds are available at maturity

How to Use This Calculator

  1. Enter the Present Value (total loan amount)
  2. Optionally enter a Future Value if you have a balloon payment
  3. Input the Annual Interest Rate as a percentage
  4. Specify the Number of Years for the loan
  5. Select the Compounding Frequency (usually monthly)
  6. Choose the Payment Type (end of period is standard)
  7. Review the calculated monthly payment and total costs
  8. Examine the amortization schedule to see payment breakdowns

Important Notes

  • • This calculator assumes fixed interest rates and equal payment amounts
  • • Actual loan terms may include additional fees or charges
  • • Some loans have prepayment penalties or restrictions
  • • Always verify calculations with your lender before making financial decisions
  • • Consider factors like origination fees, insurance, and taxes in your total cost