Commercial lending math

What is a loan constant? Formula and calculator

The loan (mortgage) constant is annual debt service per dollar borrowed. Enter your rate and amortization to get it, then use it to size supportable debt.

Our tools are safe and confidential by design. No hotel financial data is stored. Ever.

Calculate the loan constant

Loan constant calculator

Annual debt cost per $1 borrowed.

Loan constant = Annual debt service ÷ Loan amount × 100

What is a loan constant?

The loan constant (or mortgage constant) is the annual debt service divided by the original loan amount — the percentage of the loan you pay each year covering both principal and interest. It rolls your interest rate and amortization period into a single number.

The loan constant formula, with an example

Loan constant = annual debt service ÷ loan amount. From rate and amortization, the annual constant is the monthly payment factor times twelve. Example: a 7.5% rate amortized over 25 years gives a constant of about 8.87% — so a $10,000,000 loan costs roughly $887,000 a year in debt service.

Why the loan constant is useful

It lets you size supportable debt directly from NOI. Supportable annual debt service = NOI ÷ target DSCR; divide that by the loan constant and you get the supportable loan amount. It's the bridge between operating income and how much a lender will actually advance.

Loan constant vs. interest rate

The interest rate is only the cost of borrowing; the loan constant also includes principal amortization, so it's always higher than the rate on an amortizing loan (and equal to the rate on an interest-only loan). Comparing constants, not rates, is the right way to compare amortizing loans.

Questions, answered

What is a loan constant?
The loan constant (mortgage constant) is annual debt service ÷ loan amount — the share of the loan paid each year in principal and interest combined. Example: a $10,000,000 loan with $887,000 of annual debt service has an ~8.87% constant.
What is the loan constant formula?
Loan constant = annual debt service ÷ loan amount × 100. From rate and term, it's the monthly amortizing payment factor × 12. A 7.5% rate over 25 years ≈ 8.87%.
How do you use the loan constant?
To size debt from income: supportable loan = (NOI ÷ target DSCR) ÷ loan constant. It converts a coverage target into a maximum loan amount.
Why is the loan constant higher than the interest rate?
Because it includes principal repayment, not just interest. On an amortizing loan the constant exceeds the rate; on an interest-only loan they're equal.