Glossary · Underwriting

Loan constant

Also called: mortgage constant, debt service constant, debt constant

Defined by the Research desk, The Lender Report · Sources reviewed

One year of loan payments divided by the loan amount, shown as a percent. It folds the interest rate and the amortization period into a single number.

The loan constant is annual debt service divided by the loan amount. On an interest-only loan it equals the interest rate. On an amortizing loan it is higher than the rate, because each payment also repays principal, and a shorter amortization raises it.

Example: a $1,000,000 loan at 7 percent, amortized over 25 years, has a monthly payment of about $7,068, or $84,814 a year. The constant is 8.48 percent.

Lenders use the constant to turn income into a loan amount: the loan equals net operating income, divided by the required coverage ratio, divided by the constant. Income of $150,000 at 1.25 coverage and an 8.48 percent constant supports about $1,415,000. The same arithmetic shows that coverage equals debt yield divided by the constant.

HUD’s guide for multifamily underwriters uses it as a check on value: a cap rate should generally exceed the mortgage constant, and one below it calls for a closer look. When two quotes differ in both rate and amortization, comparing their constants shows which one carries the lighter yearly payment.

How it shows up in the data here

Not in any public file. No filing here carries a loan's payment or its constant. The tools work it out for you: the amortization and balloon calculator gives the yearly payment for a rate and term you enter, and the maximum loan calculator uses it to size a loan against a coverage ratio.

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Related terms

Sources

  1. HUD Multifamily Accelerated Processing (MAP) Guide, section 3.7.13 (mortgage constant and cap rates) and section 7.16.3 (debt service constant), published .
  2. OCC Comptroller's Handbook, Commercial Real Estate Lending, Version 2.0 (Debt Service Coverage and Debt Yield, p. 43), published .

Plain definitions for orientation, not legal, tax or credit advice. A lender's own policy decides what it will do.