Defeasance Calculator

Analyze CMBS Prepayment Penalties & Treasury Substitution Costs

Metric	Value	Description

*Table represents estimated values based on input yields.

What is a Defeasance Calculator?

A defeasance calculator is a specialized financial tool used by commercial real estate investors and borrowers to estimate the cost of exiting a CMBS (Commercial Mortgage-Backed Securities) loan before its maturity date. Unlike traditional prepayment penalties, defeasance involves “substituting” the property collateral with a portfolio of government securities, typically US Treasuries.

Borrowers use the defeasance calculator to determine the economic feasibility of refinancing or selling a property. Since most CMBS loans prohibit direct prepayment, defeasance is the standard mechanism for releasing the lien on a property. This process ensures that the bondholders (the lenders) continue to receive the same cash flow they were promised, just backed by government bonds instead of real estate.

Common misconceptions include the idea that defeasance is always more expensive than yield maintenance. While often costly when interest rates have fallen, a defeasance calculator may show lower costs if Treasury yields are close to or higher than the original loan’s coupon rate.

Defeasance Calculator Formula and Mathematical Explanation

The core logic of a defeasance calculator relies on the Time Value of Money (TVM). The goal is to calculate the present value of all remaining loan payments (principal and interest) discounted at current government security yields.

The Step-by-Step Derivation:

1. Determine the remaining cash flow stream: $CF = \sum(Monthly P&I) + Balloon Payment$.
2. Identify the discount rate: This is the yield on a portfolio of Treasuries matched to the loan’s duration.
3. Calculate the Net Present Value (NPV): $PV = \sum \frac{CF_t}{(1+r)^t}$.
4. Calculate the Premium: $Premium = PV – Current Loan Balance$.
5. Add Transaction Costs: Include legal, accounting, and servicer fees.

Variable	Meaning	Unit	Typical Range
Loan Balance	Remaining principal owed	USD ($)	$1M – $100M+
Loan Rate	Contractual annual interest rate	Percentage (%)	3% – 8%
Treasury Yield	Current market yield for same duration	Percentage (%)	1% – 5%
Months Remaining	Time until loan maturity	Months	12 – 120

Practical Examples (Real-World Use Cases)

Example 1: High Interest Rate Environment

An investor has a $10,000,000 loan at 6% interest with 3 years (36 months) remaining. Current Treasury yields are at 4.5%. Using the defeasance calculator, the investor finds that the cost of the Treasury portfolio is approximately $10,380,000. After adding $80,000 in fees, the total cost is $10,460,000. The “premium” is $380,000 plus fees.

Example 2: Yield Inversion / Low Premium

A borrower has a $5,000,000 loan at 4% with 1 year left. Treasury yields have spiked to 4.5%. In this scenario, the defeasance calculator would show that the cost to buy Treasuries is actually less than the loan balance (a “discount”). However, CMBS contracts usually have a “floor” where the borrower must at least pay the balance plus fees. This emphasizes the need to check specific loan documents.

How to Use This Defeasance Calculator

Follow these steps to get an accurate estimate for your commercial real estate exit strategy:

• Enter Current Balance: Look at your most recent mortgage statement for the unpaid principal balance.
• Input Interest Rate: Enter the fixed rate stated in your Note. Note: Floating rate loans rarely use defeasance.
• Remaining Months: Calculate the time between today and your “Maturity Date” (not your amortization end date).
• Check Treasury Yields: Visit the US Treasury website and find the yield for the “Constant Maturity” closest to your remaining term.
• Review Results: Look at the “Total Estimated Defeasance Cost” to decide if selling or refinancing at commercial mortgage rates makes sense.

Key Factors That Affect Defeasance Calculator Results

• Interest Rate Spread: The gap between your loan rate and the Treasury yield is the primary driver of cost. A wider gap (Loan Rate > Treasury Yield) increases the premium.
• Time to Maturity: The longer the remaining term, the more payments need to be substituted, which exponentially increases the cost.
• Loan Structure: Interest-only (IO) loans result in different substitution requirements compared to amortizing loans.
• Transaction Fees: Defeasance requires a team: a successor borrower, legal counsel for all parties, an accountant for a “comfort letter,” and a custodian.
• Yield Volatility: Treasury yields change daily. A 0.10% move on a large loan can change the cost by tens of thousands of dollars.
• Tax Implications: Defeasance premiums are generally tax-deductible as interest expenses, which may offset some of the high costs.

Frequently Asked Questions (FAQ)

Why is defeasance so expensive?

It is expensive because you are essentially “pre-paying” all future interest to the bondholders at a lower rate of return (Treasuries), requiring you to put up more capital today than the face value of the loan.

Is defeasance the same as yield maintenance?

No. While both protect lender yield, yield maintenance is a cash penalty paid to the lender. Defeasance is a legal process of collateral substitution. Use a yield maintenance calculator to compare the two if your loan allows choice.

Can I do defeasance on a floating rate loan?

Rarely. Floating rate loans usually have a simple prepayment penalty (e.g., 1% or “lock-out”) because the lender is not locked into a fixed yield. Check your bridge loan calculator for floating rate scenarios.

How long does the process take?

Typically 30 to 45 days. It requires coordination between the borrower, servicer, and multiple third-party professionals.

What are the ‘successor borrower’ fees?

Since the original borrower is released from the loan, a “successor borrower” (often a shell company provided by the defeasance firm) takes over the Treasury portfolio and the loan obligations.

Does the LTV affect defeasance?

Directly, no. However, your LTV calculator results will dictate how much new debt you can take on to cover the defeasance costs during a refinance.

Is there a minimum loan size for defeasance?

Technically no, but because transaction fees often exceed $50,000, it is rarely economical for loans under $2,000,000.

Can I use a DSCR calculator to help?

Yes, your DSCR calculator will help you determine if your property’s cash flow can support the new, likely larger, loan required to fund the defeasance.