Audited 25 May 2026·Last updated 26 Jul 2026·5 citations·Tier 1·0 uses

Yield Maintenance Calculator

Calculate commercial mortgage yield maintenance penalties. Enter balance, rate, Treasury yield, and term for prepayment cost.

Yield Maintenance Calculator

The remaining principal balance at prepayment date.
$
The fixed interest rate on the original loan note.
%
The yield on a Treasury security with maturity matching the remaining loan term.
%
Years left until scheduled maturity.
years
Yield Maintenance Penalty
$449,635.07
The prepayment penalty owed to the lender.
PV of Lost Interest Spread
$449,635.07

Background.

Yield maintenance is a prepayment penalty clause found in most fixed-rate commercial real estate loans, particularly those securitized through CMBS conduits or originated through agency programs such as Fannie Mae DUS and Freddie Mac K-Deals. When a borrower pays off a loan before its scheduled maturity, the lender loses the stream of interest payments that the loan was contracted to produce. Yield maintenance compensates the lender by requiring the borrower to pay the present value of the difference between the original loan interest rate and the current yield on a comparable-duration U.S. Treasury security, applied to the remaining loan balance over the remaining term. This calculator computes that penalty precisely.

The penalty can be substantial. On a $10 million loan with a 7 percent original rate, a current 10-year Treasury yield of 5 percent, and 10 years remaining, the yield maintenance penalty can exceed $1.5 million. This is why borrowers rarely refinance fixed-rate commercial loans unless interest rates have fallen dramatically or the property has appreciated enough to support a larger loan that absorbs the penalty. The yield maintenance clause protects the lender—or more precisely, the bondholders in a securitized pool—from prepayment risk, which is the primary risk in fixed-rate commercial mortgage-backed securities.

Borrowers encounter yield maintenance at several decision points. During acquisition due diligence, sophisticated buyers estimate the yield maintenance penalty that would be triggered by a sale in year three or five, and they incorporate that cost into their exit underwriting. When interest rates decline, owners weigh the savings from refinancing against the penalty. Loan servicers calculate the penalty to the dollar when a borrower requests a payoff quote. Attorneys review yield maintenance language during loan document negotiation, because the exact formula, the Treasury security selection, and the minimum floor percentage all vary by lender.

Regulatory and market context shapes how yield maintenance is structured. CMBS loans typically use the standard Treasury-based formula with a 1 percent minimum floor. Agency multifamily loans use a similar structure but may reference the Federal Home Loan Bank advance rate rather than Treasuries. Some life company loans use "defeasance" instead of yield maintenance, which requires the borrower to purchase a portfolio of Treasury securities that replicate the loan's cash flows rather than paying a cash penalty. Defeasance is structurally different but economically equivalent from the lender's perspective. This calculator models the cash-penalty yield maintenance structure, which is the dominant form in conduit lending. The yield maintenance clause also affects property valuations. A buyer conducting due diligence must estimate the yield maintenance penalty that would be triggered by a sale before maturity and subtract that cost from the property's value. If the penalty is $2 million on a $20 million property, the true effective equity value to the seller is materially reduced by 10 percent. This creates a wedge between gross sale price and net proceeds that is invisible in standard cap-rate valuations. Sophisticated underwriting models therefore include a yield-maintenance-adjusted exit cap to reflect the true cost of disposing of leveraged real estate.

What is yield maintenance calculator?

Yield maintenance is a contractual prepayment penalty that requires a borrower to compensate the lender for the interest income lost when a fixed-rate commercial loan is paid off before maturity. The penalty equals the present value of the difference between the original loan interest rate and the current yield on a U.S. Treasury security with a term matching the remaining loan life, multiplied by the outstanding balance. If current Treasury yields are lower than the original loan rate, the penalty is positive and can be large. If Treasury yields have risen above the loan rate, the penalty is typically zero or floored at a minimum percentage of the balance, commonly 1 percent. The clause is standard in CMBS, agency multifamily, and life insurance company loans. It is distinct from step-down prepayment penalties, which charge a fixed percentage that declines over time, and from defeasance, which replaces the loan with Treasury securities. Yield maintenance is economically equivalent to defeasance from the lender's perspective, but the two structures differ in implementation. Defeasance requires the borrower to purchase a portfolio of U.S. Treasury securities that replicate the loan's remaining cash flows, which are then assigned to the lender. The borrower receives no penalty bill but must pay the cost of the Treasury portfolio, which may be higher or lower than the yield maintenance formula depending on the yield curve. Yield maintenance is simpler administratively because it involves a single cash payment. The choice between the two is dictated by the loan documents and the securitization platform.

How to use this calculator.

  1. Obtain your current loan balance from your most recent servicer statement or amortization schedule.
  2. Identify the original fixed interest rate on your loan note, not the current market rate.
  3. Find the current yield on a U.S. Treasury security with a maturity closest to your remaining loan term, published daily by the U.S. Department of the Treasury.
  4. Enter your remaining loan term in years—the time left until the maturity date, not the original term.
  5. Click calculate to see the yield maintenance penalty and the present value of the lost interest spread.
  6. Compare the penalty to your expected refinance savings or sale proceeds to determine whether prepayment is economically justified.
  7. Review your loan documents for any minimum floor, defeasance alternative, or lockout period that may override the standard formula.

The formula.

YM = B(r−t) × [1−(1+t)⁻ⁿ] ⁄ t
YM · yield maintenance penaltyB · loan balancer · original monthly ratet · monthly Treasury raten · months remaining

The yield maintenance formula is derived from the present value of an annuity. The lender is entitled to receive the original contracted yield for the remaining loan term. If the borrower prepays, the lender receives the principal balance immediately and can reinvest it at the current Treasury yield. The lender's economic loss is the stream of monthly interest shortfalls—each equal to the balance multiplied by the difference between the monthly loan rate and the monthly Treasury rate—discounted back to present value at the Treasury rate.

The monthly lost interest is computed as B × (r − t), where B is the current balance, r is the original monthly rate (annual rate divided by 12), and t is the monthly Treasury rate. This monthly shortfall is constant if the balance does not amortize, which is the standard simplification in most yield maintenance clauses. The present value factor is the annuity formula [1 − (1 + t)^(−n)] / t, where n is the number of months remaining. Multiplying the monthly shortfall by this factor gives the total penalty.

Dimensional analysis confirms the formula's consistency. B is in dollars. (r − t) is dimensionless (rate minus rate). Their product is dollars per month. The annuity factor is in months, because the numerator is dimensionless and the denominator is rate per month. Dollars per month multiplied by months yields dollars. The penalty is therefore a dollar amount, as expected. The formula's sensitivity to the spread (r − t) is linear: doubling the spread doubles the penalty. Its sensitivity to the Treasury rate is non-linear because t appears in both the discount factor and the denominator of the annuity formula. A lower Treasury rate increases the penalty both by widening the spread and by increasing the present value factor.

The 1 percent minimum floor is a contractual protection for the lender in rising-rate environments. If Treasury yields exceed the loan rate, the formula yields zero or a negative number, but the lender still incurs administrative costs and reinvestment risk from an unexpected prepayment. The floor ensures a baseline penalty regardless of rate movements. Some loan documents also specify a "lockout period" of one to three years during which any prepayment is prohibited, after which yield maintenance applies.

A worked example.

Example

A borrower has a $5,000,000 fixed-rate commercial mortgage at 6% with seven years remaining, while the matching Treasury yield is 4.5%. The monthly interest spread is $6,250 and the remaining term is 84 months. Discounting that monthly spread at the 4.5% Treasury rate produces a present value of $449,635.07. The calculator therefore reports a yield-maintenance penalty and present value of lost interest of $449,635.07, in addition to the outstanding principal. Actual loan documents may specify a different Treasury source, floor, or calculation convention.

treasury Rate4.5
remaining Years7
original Rate6
loan Balance5,000,000

Frequently asked questions.

What is the difference between yield maintenance and defeasance?
Yield maintenance is a cash penalty paid to the lender at prepayment, computed as the present value of the lost interest spread. Defeasance requires the borrower to purchase a portfolio of U.S. Treasury securities that replicate the exact cash flows of the remaining loan payments, which are then assigned to the lender to replace the loan income. Defeasance is more administratively complex and involves a securities intermediary, but it can be cheaper for the borrower if Treasury yields are high relative to the loan rate because the cost of the Treasury portfolio may be less than the cash penalty. CMBS loans typically use defeasance; agency and balance-sheet lenders more commonly use yield maintenance.
Why is there a 1 percent minimum floor on yield maintenance?
The minimum floor protects the lender from receiving zero penalty when interest rates rise above the loan rate. In that scenario, the standard Treasury-spread formula yields no penalty because the lender could reinvest at a higher yield than the original loan. However, prepayment still creates reinvestment risk, administrative costs, and potential disruption to a securitized pool's cash flow timing. The floor ensures the lender receives at least 1 percent of the outstanding balance as compensation. Some loan documents set the floor at 2 percent or impose a lockout period instead. Borrowers should verify the exact floor language in their note before modeling prepayment economics.
How do I find the correct Treasury yield to use?
Loan documents typically specify that the Treasury yield is the yield to maturity on the most recently issued U.S. Treasury security with a term closest to the remaining loan term. The U.S. Department of the Treasury publishes daily yield curve data on its website, and the Federal Reserve Bank of St. Louis provides historical series through FRED. For a loan with 7.3 years remaining, you would interpolate between the 7-year and 10-year Treasury yields. Some loan agreements round to the nearest whole-year security or use a specific CUSIP. Using the wrong maturity can shift the penalty by tens of thousands of dollars on large loans, so precision matters.
Can yield maintenance be negotiated before closing?
Yes, but the leverage depends on market conditions and lender type. Conduit CMBS loans are generally non-negotiable because the yield maintenance terms are standardized to meet rating agency and investor requirements. Agency multifamily loans through Fannie Mae and Freddie Mac also use standardized forms with limited flexibility. Balance-sheet lenders—banks, life insurance companies, and debt funds—have more discretion. A borrower with strong sponsorship, low leverage, or a trophy asset may negotiate a shorter yield maintenance period, a step-down structure instead of yield maintenance, or a lower minimum floor. These concessions are typically traded for a higher interest rate or lower proceeds.
Does yield maintenance apply to floating-rate loans?
No. Yield maintenance is specific to fixed-rate loans because it compensates the lender for the loss of a locked-in yield. Floating-rate loans reset periodically based on a benchmark such as SOFR or Prime, so the lender is not exposed to the same interest-rate risk and prepayment does not deprive them of a above-market yield. Floating-rate loans more commonly use prepayment penalties structured as a percentage of the outstanding balance—typically 1 percent in year one, declining to zero by year three— or a lockout period. Some floating-rate loans have no prepayment penalty at all after an initial lockout.
How does amortization affect yield maintenance?
The standard yield maintenance formula assumes the outstanding balance remains constant for the remaining term, which is a simplification used in most loan documents. In reality, amortizing loans have declining balances, which would reduce the monthly interest shortfall over time. Some sophisticated loan documents model the actual amortizing balance schedule, but this is rare because it requires recomputing the penalty every month and complicates securitization cash flows. The constant-balance assumption is conservative from the lender's perspective and slightly overstates the penalty compared to a true amortizing calculation. Borrowers should read their note to determine whether the penalty is computed on the current balance or the scheduled balance.
Is yield maintenance tax-deductible?
Yield maintenance penalties are generally treated as interest expense for tax purposes because they represent compensation for lost interest income. The IRS has ruled in several private letter rulings that prepayment penalties on debt instruments are deductible as interest in the year paid, subject to the same limitations as regular interest deductions. However, if the penalty is characterized as a loan modification fee or a premium in a refinancing context, the tax treatment may differ. Borrowers should consult a tax advisor because the deductibility depends on whether the prepayment is part of a sale, a refinance, or a workout, and on whether the loan is secured by investment property or a personal residence.
What happens to yield maintenance if I sell the property?
Yield maintenance is typically triggered by any prepayment, including a sale that requires paying off the loan. The buyer cannot assume the loan unless the loan documents specifically permit assumption, which is uncommon in CMBS and increasingly rare in agency lending. If assumption is prohibited, the seller must pay the yield maintenance penalty out of sale proceeds. In some transactions, the buyer agrees to pay the penalty as part of the purchase price, but this is a negotiation point. Sellers should obtain a payoff quote from the servicer before listing the property, because the penalty can materially affect net proceeds and the pricing floor the seller is willing to accept.
Why do CMBS loans use yield maintenance instead of simple step-down penalties?
CMBS loans are pooled and sold to bondholders who expect a fixed stream of income for a fixed term. Prepayment disrupts that stream and forces bondholders to reinvest at prevailing rates, which may be lower. Yield maintenance eliminates the bondholders' economic loss by making them whole for the lost yield. A step-down penalty—say, 5-4-3-2-1 percent—does not fully compensate bondholders if rates have fallen sharply, because the fixed percentage may be much smaller than the present value of the lost spread. Rating agencies require yield maintenance or defeasance for CMBS loans to achieve investment-grade ratings, because these structures minimize prepayment risk to the bond pool.
Can I estimate yield maintenance without a calculator?
A rough estimate is possible but imprecise. Multiply the loan balance by the rate spread (original rate minus Treasury rate) and by roughly 80 percent of the remaining term in years. For example, $5 million, 1.5 percent spread, 7 years: $5,000,000 × 0.015 × 5.6 = $420,000. This approximates the annuity factor but ignores the time value of money embedded in the discount rate. The actual penalty will be higher if Treasury yields are low, because the present value factor increases as the discount rate falls. For transactions where the penalty exceeds $100,000, a precise calculation is essential. This calculator provides that precision using the exact annuity formula found in standard loan documents.

References& sources.

  1. [1]Fannie Mae (2024). "DUS Guide: Yield Maintenance and Prepayment Provisions." Multifamily Selling and Servicing Guide.
  2. [2]Freddie Mac (2024). "K-Deal Offering Circular: Prepayment Considerations." Freddie Mac Multifamily Securities.
  3. [3]U.S. Department of the Treasury (2024). "Daily Treasury Par Yield Curve Rates."
  4. [4]OCC (2023). "Commercial Real Estate Lending: Comptroller's Handbook." Office of the Comptroller of the Currency.
  5. [5]FFIEC (2023). "Uniform Bank Performance Report: Commercial Real Estate Loan Prepayment Analysis." Federal Financial Institutions Examination Council.
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