Mortage Loan Duration

The number of periods (most commonly denoted in years ) that must pass for half of the time-weighted present value of the debt service payments to be paid, Duration is an important measure of interest rate risk.

The longer the Duration, the greater exposure the loan has to interest rate risk. To hedge against that risk, lenders will often pair the mortgage loan asset with a liability of similar Duration and size.

Putting ‘Mortgage Loan Duration’ in Context

Mini-Case: Oakwood Business Plaza in Houston, TX

Scenario:
Riverstone Capital Partners, a real estate private equity firm, has recently acquired Oakwood Business Plaza, a suburban office complex located in Houston, Texas. The property spans 120,000 square feet and is leased to a mix of professional service firms and small tech companies. The purchase price was $24 million, financed with a $16 million, 10-year fixed-rate mortgage at a 5% interest rate. The firm expects to achieve steady cash flows from the property while benefiting from modest rental growth due to Houston’s expanding business environment.

The Role of Mortgage Loan Duration

When Riverstone Capital Partners structured the financing for Oakwood Business Plaza, the concept of Duration became a critical factor in assessing interest rate risk. The Duration of the mortgage refers to the weighted average time it takes to receive half of the present value of debt service payments. For a 10-year fixed-rate loan with a 5% interest rate, the Duration is approximately 7 years, given the amortization schedule and periodic payments.

Why Duration Matters

  • Interest Rate Risk: A Duration of 7 years means that the mortgage loan is moderately exposed to changes in interest rates. If interest rates increase significantly, the value of the fixed-rate loan as an asset for the lender could decline. Conversely, if rates fall, the loan becomes more valuable.
  • Hedging: To mitigate interest rate risk, the lender paired this loan with a liability of similar Duration and size, such as issuing bonds with a comparable term. This alignment protects the lender’s balance sheet from interest rate fluctuations.

Calculation of Duration in Context

To understand the Duration more concretely, consider the loan’s amortization schedule:

  • Loan Amount: $16,000,000
  • Interest Rate: 5% (annual, fixed)
  • Term: 10 years
  • Monthly Payment: $169,059

Using the formula for Duration and calculating the time-weighted present value of all debt service payments over 10 years, the weighted average time to receive half of the payments would yield the Duration of 7 years.

Lessons for the Protagonist

Understanding Duration helped Riverstone Capital Partners evaluate the overall risk profile of their debt and structure their investment accordingly. Although the 10-year fixed-rate mortgage provides stability, the firm is aware that the property’s refinancing or sale at the end of the loan term might coincide with a different interest rate environment. This emphasizes the importance of balancing leverage with conservative underwriting and flexible exit strategies.


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