Mortgage APR and repayment cost calculator

Includes loan fee, points and annual PMI insurance in APR-style cost summary.
Input details
Summary Result
Nominal APR %
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Effective APR (EAR) %
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Loan Amount
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Down Payment
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Monthly Pay
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Total Payments
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Total Interest
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All Payments and Fees
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Principal, Interest and Fee Breakdown
Principal--
Interest--
Fee (Loan Fee + Points + PMI total)--

Amortization Schedule
YearAmountEMIInterestPrincipleBalance
Enter inputs and calculate.
MonthAmountEMIInterestPrincipleBalance
Enter inputs and calculate.

Mortgage APR Formula and Instructions

Method 1: Loan Principal and EMI

  • Loan Amount = House Value - Down Payment.
  • EMI uses standard amortization formula with monthly compounding.

Method 2: Fee Components

  • Points fee = (Points / 100) x Loan Amount.
  • Total fee = Loan Fee + Points fee + (PMI per year x years).

Method 3: APR (nominal and effective)

  • Nominal APR solves for the monthly cost of credit (IRR) that discounts every monthly cash flow—principal & interest payment plus PMI/12—to the net loan amount after subtracting the dollar loan fee and points at closing. Expressed as an annual nominal rate (monthly IRR × 12).
  • Effective APR (EAR) is (1 + monthly IRR)12 − 1.
  • All Payments and Fees = mortgage payments + loan fee + points + total PMI (PMI per year × loan years).

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