FIN 355 · Real Estate Investment Analysis

Commercial Mortgage Loan Sizing

See how maximum LTV, minimum DSCR, and minimum debt yield become three loan ceilings - and why the smallest ceiling determines the lender's maximum loan.

Created by Desen Lin · California State University, Fullerton

One loan must pass all three tests

Lenders impose a maximum leverage ratio and minimum coverage and yield ratios. Each test can be rearranged into a maximum supportable loan.

Maximum LTV

LTV = Loan / Property value

Loan ceiling = Property value × Maximum LTV

Minimum DSCR

DSCR = NOI / Annual debt service

Loan ceiling = NOI / (Minimum DSCR × Mortgage constant)

Minimum debt yield

Debt yield = NOI / Loan

Loan ceiling = NOI / Minimum debt yield

Maximum permitted loan = minimum of { LTV ceiling, DSCR ceiling, debt-yield ceiling }

Change the underwriting assumptions

Move any slider or enter a value. The loan ceilings, binding test, and implied ratios update immediately.

Property cash flow

These inputs affect collateral value and repayment capacity.

$ millions

$ millions per year

Debt payment terms

Monthly amortization is converted into annual debt service.

Lender thresholds

Illustrative boundaries; actual underwriting varies by transaction.

Common boundary: about 70-80%

Common floor: 1.20× or greater

Common range: about 8-13%

Maximum permitted loan $17.50M The largest loan that passes every test
Binding constraint Debt yield The tightest loan ceiling
Annual debt service $1.33M 7.58% mortgage constant

Maximum loan supported by each test

The shortest bar is binding because the proposed loan must remain below all three ceilings.

The debt-yield test is tightest at $17.50M. The LTV and DSCR tests permit larger loans, but all three inequalities must hold.

Ratios at the permitted loan

Each calculated ratio satisfies its lender threshold; a binding test has no remaining headroom.

TestCalculatedRequirementResult
LTV70.0%≤ 75.0%Pass
DSCR1.32×≥ 1.20×Pass
Debt yield10.0%≥ 10.0%Binding

Interpretation: Debt yield is the lender's cap rate because it divides the property's NOI by the lender's capital at risk. Unlike DSCR, it does not depend on the interest rate or amortization schedule.

Property value → LTV onlyA higher appraised value raises the LTV-based ceiling but does not directly change DSCR or debt yield.
NOI → DSCR and debt yieldA higher NOI supports both more annual debt service and a larger lender-cap-rate loan.
Rate and amortization → DSCR onlyA higher payment constant lowers the DSCR-based loan ceiling while leaving LTV and debt yield unchanged.

The tool assumes level monthly payments with a fixed annual interest rate and fully amortizing loan. It omits lender fees, interest-only periods, reserves, subordinate debt, and other covenants.