Loan Constant Calculator

Enter the loan amount, annual rate, and term in months to find the loan constant.

How it is calculated

The tool first finds the level monthly payment of a fully amortizing loan: PMT = L × r ÷ (1 − (1 + r)−n), where L is the loan amount, r is the annual rate ÷ 100 ÷ 12 and n is the term in months. At a 0% rate it uses L ÷ n. Annual debt service is 12 × PMT, and the loan constant is annual debt service ÷ L × 100. All payments are assumed to be equal and monthly, with no interest-only period, balloon or fees. The constant depends only on rate and term, so a larger loan at the same rate and term has the same constant. The loan amount must be above zero, and the term must be a whole number of months from 12 to 1200, because the measure counts twelve payments a year; a shorter or fractional term shows no result.

Worked example

A $1,000,000 loan at 6.5% for 300 months (25 years). Monthly rate: 6.5 ÷ 100 ÷ 12 = 0.0054167. The monthly payment works out to $6,752.07. Annual debt service: 6,752.07 × 12 = $81,024.86. Loan constant: 81,024.86 ÷ 1,000,000 × 100 = 8.10%. A property with a cap rate above 8.10% would show positive leverage on this financing, while a cap rate of 7% would mean the loan costs more each year than the property earns on the same value.

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Common mistakes

  • Entering the term in years. The field is in months, so a 25-year loan must be typed as 300; entering 25 treats it as a 25-month loan and gives a constant of 51.45%.
  • Confusing the loan constant with the interest rate. At 6.5% the constant is 8.10% because it includes the principal repaid each year, which is why it is higher than the rate.
  • Comparing it with a cap rate on a loan that is interest-only. This tool assumes a fully amortizing payment, so an interest-only loan has a lower constant than shown (its constant equals the interest rate).
  • Entering a term under 12 months. The tool shows no result, because a constant built on twelve payments a year does not describe a loan that ends sooner.
  • Forgetting fees, mortgage insurance and reserve requirements. Only the principal and interest payment is included, so the true cash outflow can be higher.

About this calculator

The loan constant (also called the mortgage constant) is a commercial real estate and finance metric equal to the total annual debt service (all twelve months of principal-plus-interest payments) divided by the original loan amount, expressed as a percentage. Unlike the interest rate alone, it captures the full annual cash outflow required to service the debt, including principal amortization.

Real estate investors compare the loan constant to a property's capitalization rate (cap rate) to judge whether financing improves or hurts cash flow: if the cap rate exceeds the loan constant, leverage is generally accretive to returns ("positive leverage"); if the loan constant is higher, borrowing works against the investor.

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