Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted text)
$ \text{Front-End DTI} = \left( \frac{\text{Total Monthly Housing Payment}}{\text{Gross Monthly Income}} \right) \times 100 $
Formula (extracted text)
$ \text{Back-End DTI} = \left( \frac{\text{Total Monthly Debt Payments}}{\text{Gross Monthly Income}} \right) \times 100 $
Variables and units
  • P = principal (loan amount) (currency)
  • r = periodic interest rate (annual rate ÷ payments per year) (1)
  • n = total number of payments (years × payments per year) (count)
  • M = periodic payment for principal + interest (currency)
  • T = property tax (annual or monthly depending on input) (currency)
  • I = homeowners insurance (annual or monthly depending on input) (currency)
Sources (authoritative):
  • consumerfinance.gov — consumerfinance.gov · Accessed 2026-01-19
    https://www.consumerfinance.gov/ask-cfpb/what-is-a-debt-to-income-ratio-en-1791/
  • Home — calcdomain.com · Accessed 2026-01-19
    https://calcdomain.com/
  • Finance — calcdomain.com · Accessed 2026-01-19
    https://calcdomain.com/finance
  • Business & Small Biz — calcdomain.com · Accessed 2026-01-19
    https://calcdomain.com/subcategories/business-small-biz
  • Loan Amortization Calculator — calcdomain.com · Accessed 2026-01-19
    https://calcdomain.com/loan-amortization
  • Mortgage Calculator (PITI) — calcdomain.com · Accessed 2026-01-19
    https://calcdomain.com/mortgage
  • Loan Payoff Calculator — calcdomain.com · Accessed 2026-01-19
    https://calcdomain.com/loan-payoff
  • APR Calculator — calcdomain.com · Accessed 2026-01-19
    https://calcdomain.com/apr
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
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Why This DTI Matters

  • See what lenders see: Understand exactly how banks will judge your loan application.
  • Find your borrowing limit: Know how much housing you can *really* afford.
  • Identify opportunities: See how paying off a small loan can significantly improve your ratio.
  • Plan for a mortgage: Most lenders require a DTI under 43% for a Qualified Mortgage.

Related Finance Tools

  • Loan Amortization Calculator
  • Mortgage Calculator (PITI)
  • Loan Payoff Calculator
  • Debt Snowball vs. Avalanche
  • APR Calculator

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