How we calculate · Mortgage

How the mortgage calculator works

Clear fixed-rate amortization for learning—not lender quotes.

Tool: Mortgage calculator · Embed · All how-we-calculate pages · Questions

Purpose

Estimate monthly principal and interest for a fixed-rate loan from home price, down payment, rate, and term. Optional tax, insurance, and HOA fields are user-typed add-ons. Educational only.

Core model

  • Loan amount = home price − down payment
  • Monthly rate r = annual rate ÷ 100 ÷ 12
  • P&I payment (r > 0): P × r × (1+r)^n / ((1+r)^n − 1) with n = years × 12
  • If rate is 0: payment = loan amount ÷ n
  • Total housing / month = P&I + tax + insurance + HOA (when entered)

What we intentionally leave out

  • Live rates, points, and lender fees
  • Automatic PMI / MIP calculations
  • Closing costs, prepaids, and cash-to-close
  • ARM/reset schedules and balloon products
  • Underwriting approval or ability-to-repay determinations

Official consumer context

For consumer mortgage education, see CFPB mortgage tools.

Last reviewed: August 9, 2026.

YMYL notice: This site is for education only. It is not financial, tax, or investment advice. Nestfigure is not a bank, credit union, broker, investment adviser, or fiduciary. Product terms, rates, and penalties vary—always read your institution’s disclosures before acting. Calculator results are mathematical estimates, not bank quotes.