How Lenders Size a Commercial Real Estate Loan

The maximum loan is the smallest amount that survives every sizing test the lender applies. LTV caps the loan against accepted value and DSCR caps it against the payment that income can carry. Debt yield adds a separate floor on income relative to principal that no payment structure can change, and the test that produces the lowest dollar figure sets the proceeds.

Three ceilings, one loan: how the lowest ceiling becomes the maximum proceeds

Each sizing test produces its own dollar ceiling, and maximum proceeds equal the smallest of them. The test that produces that smallest figure is the binding constraint, and it can change from one deal to the next or from one rate environment to the next without any change in the property.

Two tests tie the loan to the property. LTV caps the loan at a share of accepted value, so the ceiling is value multiplied by the maximum permitted LTV. DSCR caps the payment: net operating income divided by annual debt service must reach a lender minimum, which makes the ceiling a two step calculation.

Step one divides accepted NOI by the minimum DSCR to find the largest annual debt service the property can carry. Step two divides that payment by the mortgage constant, which is annual debt service per dollar of original principal for the assumed rate and amortization. A lower rate or a longer amortization lowers the constant and raises the coverage ceiling.

Debt yield is the third ceiling. It is underwritten NOI divided by the loan balance, so the ceiling is NOI divided by the minimum yield. The formula contains no interest rate and no amortization term, which means no payment structure can raise this ceiling. A higher debt yield signals lower lender risk, and 10 percent is a common minimum in securitized lending, although thresholds differ by lender and program.

A passing coverage ratio therefore settles only one of the ceilings.

“In practice, the loan size is capped by three risk-modeling tests: loan-to-value (LTV), debt service coverage (DSCR), and debt yield, and proper risk management dictates that the lowest loan size of the three wins.”

The income line: which NOI feeds the ratios and which way adjustments push proceeds

Both cash-flow ceilings are proportional to the NOI the lender accepts. A downward adjustment to income, such as a 5 percent haircut, lowers the NOI used in sizing, and it lowers the coverage ceiling and the debt-yield ceiling by the same percentage. An upward adjustment raises both by that percentage. A higher maximum LTV cannot offset the loss while a cash-flow test is the one that binds.

Underwriting on in-place rents and reset valuations lets current cash flow service the debt without relying on rent growth or appreciation. Income from space that is vacant or under concession enters the numerator only if the underwriting credits it, and recurring expenses left out of a projection overstate the cash available for debt.

Rates feed back into the income line. When rates are low, a lender can underwrite lower collections and higher expenses and still reach proceeds that meet coverage needs. As rates rise, that room closes.

Stress work extends the usual coverage and LTV screens with a breakeven analysis, which raises operating expenses or cuts rents until NOI no longer covers debt service. The result shows how much income cushion sits behind a given loan amount.

Definitions of income can also change after closing. Cash-management tests in securitized loans can calculate occupancy and rents at the lower of actual levels and the market or underwritten levels. A DSCR at origination and a DSCR in the cash-management test can therefore differ for the same property.

The decision test for two quoted loan amounts is whether both start from the same accepted NOI. When they differ, the income line can explain the gap in proceeds before any difference in coverage or yield minimums does.

Paired thresholds and stabilized income: how ceilings shift by program and deal stage

Agency programs publish ceilings as pairs. In a standard conventional multifamily program, the Tier 2 band begins at a 1.25 DSCR with LTV capped at 80 percent, while Tier 4 requires DSCR above 1.55 with LTV below 55 percent. Higher required coverage travels with a lower allowed LTV, so a maximum LTV quoted without its coverage partner describes only one of the two ceilings.

Thresholds belong to a lender, a program and a deal stage. A coverage minimum or LTV cap taken from a different program cannot size the loan on the table.

Transitional assets add a question about which income the numerator holds. Sizing on projected stabilized income produces a ceiling that exists only if the income arrives. In one CRE CLO sample, 57 percent of loans met a debt-yield benchmark at the appraiser’s stabilized cash flows. With cash flows 10 percent lower, about 44 percent did.

Current-income sizing shows what operations carry now. Stabilized sizing shows capacity conditional on the business plan, and the stabilization date has to fall before the existing loan matures for those proceeds to be available at the refinancing date.

Worked example: refinancing a $13 million loan on a $20 million property

These hypothetical inputs apply to both cases. Accepted annual NOI is $1,200,000 and accepted value is $20,000,000. That is NOI divided by value, a 6 percent cap rate, which is one year of income over price. The lender requires a 65 percent maximum LTV and a 1.25 minimum DSCR. It also requires a 10 percent minimum debt yield, and the mortgage constant is 7.5 percent. The existing loan balance is $13,000,000, and fees are ignored in both cases.

Base case, LTV ceiling: $20,000,000 multiplied by 65 percent is $13,000,000.

Base case, coverage ceiling: $1,200,000 divided by 1.25 is $960,000 of maximum annual debt service. That payment divided by the 7.5 percent constant is $12,800,000.

Base case, debt-yield ceiling: $1,200,000 divided by 10 percent is $12,000,000. The smallest of the three ceilings is $12,000,000, so debt yield binds even though coverage alone would allow $12,800,000.

At $12,000,000, annual debt service is $12,000,000 multiplied by 7.5 percent, or $900,000. DSCR is $1,200,000 divided by $900,000, about 1.33. LTV is $12,000,000 divided by $20,000,000, or 60 percent. The refinance gap is $13,000,000 minus $12,000,000, or $1,000,000.

Stressed case: the lender adjusts income down by 5 percent. A downward adjustment lowers the NOI used in sizing, for instance by crediting collections below the in-place level, so every income-based ceiling falls by 5 percent. Accepted NOI becomes $1,200,000 multiplied by 95 percent, or $1,140,000.

Value follows income at the same hypothetical 6 percent cap rate: $1,140,000 divided by 6 percent is $19,000,000. The LTV ceiling is $19,000,000 multiplied by 65 percent, or $12,350,000, which is $650,000 below the base figure.

The coverage ceiling starts with $1,140,000 divided by 1.25, or $912,000 of maximum debt service. Divided by the 7.5 percent constant, that is $12,160,000. The debt-yield ceiling is $1,140,000 divided by 10 percent, or $11,400,000. The smallest ceiling is again debt yield, now at $11,400,000.

Proceeds fall by $12,000,000 minus $11,400,000, or $600,000. That equals 5 percent of the base proceeds, the same percentage as the income adjustment. At $11,400,000, debt service is $855,000, DSCR is about 1.33 and LTV is 60 percent.

The refinance gap grows to $13,000,000 minus $11,400,000, or $1,600,000, which is $600,000 wider than in the base case. The property, the existing balance and the lender terms are the same in both cases, and only the accepted income differs.

Where a rate rise flips the binding test and widens the refinance gap

Coverage sizing and debt-yield sizing give equal proceeds at one mortgage constant. The coverage ceiling is NOI divided by the product of minimum DSCR and the constant, and the debt-yield ceiling is NOI divided by the minimum yield. Setting them equal shows the crossover constant is the minimum debt yield divided by the minimum DSCR.

In the example, 10 percent divided by 1.25 is 8 percent. At a constant below 8 percent, debt yield is the lower of the two ceilings, which is why the 7.5 percent base case binds on yield. Above 8 percent, coverage binds.

If the constant rises to 10 percent with income unchanged, the coverage ceiling becomes $960,000 divided by 10 percent, or $9,600,000, while the debt-yield ceiling stays at $12,000,000. Proceeds drop to $9,600,000 and the gap against the $13,000,000 balance widens to $3,400,000.

That pattern is the general one: when rates are low and debt is easier to service, LTV or debt yield often limits loan size, and when rates rise, DSCR tightens as debt service increases. Debt yield also relates directly to refinance capacity at prevailing rates and valuations, which is why it carries weight when a maturity approaches.

A refinance gap arises when the new loan sizes below the outstanding balance. The borrower then adds cash or restructures. The same arithmetic applies to ratios. Borrowers who closed at 80 percent to 85 percent LTV can face a gap when a new lender offers 60 percent LTV, because the difference between the old and new ratios, applied to value, is the cash the borrower has to find.

“When interest rates are low and debt is easier to service, LTV and/or debt yield often limits loan size. When rates rise, DSCR tightens as debt service increases.”

Sizing mistakes that survive a passing coverage ratio

Reading the maximum LTV as the expected advance confuses one ceiling with the result. In the example the lender allows 65 percent LTV, yet proceeds equal 60 percent of value because debt yield binds first. The LTV ceiling of $13,000,000 sits $1,000,000 above the loan.

Using the coupon as the mortgage constant misstates the coverage denominator. The constant is annual debt service divided by original principal for the assumed schedule, so an amortizing loan has a constant above its coupon. A model that divides by the coupon overstates the coverage ceiling.

Treating a passing DSCR as the end of sizing ignores the yield floor. At a 7.5 percent constant the example shows coverage of about 1.33 against a 1.25 minimum, while the coverage ceiling of $12,800,000 exceeds the debt-yield ceiling by $800,000. Debt yield contains no payment term, so cheaper debt service cannot close that difference.

Mixing income bases across tests breaks the comparison. If the coverage test uses one NOI and the yield test uses another, the ceilings come from different properties. Because each cash-flow ceiling moves one for one with its numerator, a 5 percent difference in NOI moves a ceiling by 5 percent, which is $600,000 on the base proceeds.

Holding value fixed when income is cut overstates the LTV ceiling. A cap rate is one year of NOI divided by value, so a lower NOI at the same cap rate means a lower value. In the stressed case the value falls from $20,000,000 to $19,000,000 and the LTV ceiling falls with it.

Treating the DSCR at origination and the DSCR in a cash-management test as the same number overlooks their definitions. A servicing test that substitutes lower market or underwritten rents can show weaker coverage than a calculation on actual performance, even though both carry the same ratio name.

Checklist questions for reading any loan sizing worksheet

Which NOI does each sizing test use? One column of income per test makes any mismatch visible.

Which ceiling binds, and how far above it do the others sit? The gaps show how much a change in rate, income or value must move before the binding test changes.

What annual payment does the mortgage constant reproduce for the stated rate and amortization? A constant that does not tie to the payment schedule distorts the coverage ceiling.

At what constant does coverage sizing meet debt-yield sizing? The minimum yield divided by the minimum DSCR gives the point where lower payments stop adding proceeds.

Which part of the proceeds depends on income not yet in place? Splitting current and stabilized ceilings shows the amount that rests on the business plan.

Does stabilization arrive before the existing loan matures? Timing decides whether projected income is available at the refinancing date.

How do lower rents or higher expenses move each ceiling, including value? Recomputing every ceiling shows whether the stress changes the binding test.

How far do replacement proceeds fall below the balance due? The shortfall is the cash a borrower adds or the amount that is restructured.

Which income definition governs coverage after closing? A cash-management test that uses lower rents can differ from the origination figure.