Formulas and sources
Each formula this calculator uses, where it comes from, and what it leaves out. "How it works" shows the same formula with your own numbers.
Back-end DTI
Both and Back-End Only modes
- DTI
- back-end debt-to-income ratio, in percent
- Total Debts
- every monthly debt payment you enter, housing included
- Gross Income
- monthly income before tax
Shown to one decimal. VA rounds the ratio to a whole percent, so 35.6% counts as 36% [4].
Source: Uses the ratio in Regulation Z, 12 CFR 1026.43(c)(7)(ii)(A) [1]. The CFPB defines DTI the same way, with a worked example [2].
Front-end (housing) ratio
Both and Front-End Only modes
- Front-end DTI
- housing costs as a percent of income
- Housing costs
- the mortgage and rent payments you enter
- Gross Income
- monthly income before tax
FHA and USDA count the full housing payment: principal, interest, property tax, home and mortgage insurance (for USDA, its annual fee) and HOA dues.
Source: Based on the housing ratios of FHA, 31% for a loan underwritten by hand [5], and USDA, 29% [6], which define the payment and the income in their own ways. Fannie Mae [3] and VA [4] set no separate limit on it.
Good, Moderate and High Risk bands
Both, Front-End Only and Back-End Only modes
- Front-end Good
- below 28%
- Front-end Moderate
- 28% to 36%
- Front-end High Risk
- above 36%
- Back-end Good
- 36% or less
- Back-end Moderate
- above 36% to 43%
- Back-end High Risk
- above 43%
The band is read from the ratio as shown, to one decimal: 28.0% is Moderate in front, and 36.0% is Moderate in front and Good behind.
Source: CalcTrail's own bands; no publisher. No primary source was found for the front-end 28% and 36% edges. As of October 2026, the 36% back-end edge matches Fannie Mae's limit for a loan underwritten by hand [3], and 43% matches FHA's for a loan underwritten by hand without compensating factors [5]. VA's standard is 41% [4].
Sources
- Consumer Financial Protection Bureau. 12 CFR 1026.43 (Regulation Z): Minimum standards for transactions secured by a dwelling, paragraph (c)(7)(ii)(A). eCFR, current as of October 1, 2026.
- Consumer Financial Protection Bureau. What is a debt-to-income ratio? Last reviewed August 28, 2023.
- Fannie Mae. Selling Guide, B3-6-02: Debt-to-Income Ratios. Page dated April 2, 2025.
- U.S. Department of Veterans Affairs. 38 CFR 36.4340: Underwriting standards, processing procedures, lender responsibility, and lender certification, paragraphs (c) and (d). eCFR, current as of October 1, 2026.
- U.S. Department of Housing and Urban Development. FHA Single Family Housing Policy Handbook 4000.1, II.A.5.d.vii and viii. Update 18, issued August 12, 2026.
- U.S. Department of Agriculture, Rural Housing Service. 7 CFR 3555.151: Eligibility requirements, paragraph (h)(1)(i). eCFR, current as of October 1, 2026.
What this calculator does not cover
- It divides the payments you enter by the income you enter. It does not apply a lender's rules for which debts count, such as leases, loans with few payments left, co-signed loans and student loans.
- It does not judge which income a lender counts, and it does not run the other tests lenders use, such as VA's residual income test (the money left each month after major bills).
- It does not reproduce automated underwriting, which weighs the whole loan file, not the ratio alone.
Sources checked on .