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A Lattice Approach to Pricing Fixed‐Rate Mortgages with Default and Prepayment Options

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  • Wai K. Leung
  • C. F. Sirmans

Abstract

Existing models on the pricing of default and prepayment options in fixed‐rate mortgages either use numerical methds or they do not consider refinancing or other transaction costs involved in default and prepayment. We provide in this paper an application of the Boyle [1] lattice model to price secured debt with two risky assets. This model is simple, efficient and capable of considering the major types of transaction costs involved in prepayment and default. Using our model, we estimate the option values under a range of assumptions about the underlying parameters. We also provide some comparisons of the lattice model estimates to other models in the literature.

Suggested Citation

  • Wai K. Leung & C. F. Sirmans, 1990. "A Lattice Approach to Pricing Fixed‐Rate Mortgages with Default and Prepayment Options," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 18(1), pages 91-104, March.
    • Handle: RePEc:bla:reesec:v:18:y:1990:i:1:p:91-104
    DOI: 10.1111/1540-6229.00511
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    Cited by:

    1. Paoyu Huang & Chih-Te Yang & Yuhsin Chen & Yensen Ni, 2023. "A New Look on the Profitability of Fixed and Indexed Mortgage Products," Mathematics, MDPI, vol. 11(17), pages 1-16, August.
    2. Childs, Paul D. & Ott, Steven H. & Riddiough, Timothy J., 1996. "The value of recourse and cross-default clauses in commercial mortgage contracting," Journal of Banking & Finance, Elsevier, vol. 20(3), pages 511-536, April.
    3. Austin Kelly, 1994. "Capitalization of Above Market Financing - or, A Tale of 2 Condos," Urban/Regional 9412001, University Library of Munich, Germany, revised 24 Dec 1994.
    4. Austin Kelly, 1998. "Capitalization of Above Market Financing: Condos and Co-ops," Journal of Real Estate Research, Taylor & Francis Journals, vol. 15(2), pages 163-175, January.
    5. Simon Firestone & Nathan Y. Godin & Akos Horvath & Jacob Sagi, 2024. "Risk Perception and Loan Underwriting in Securitized Commercial Mortgages," Finance and Economics Discussion Series 2024-019, Board of Governors of the Federal Reserve System (U.S.).

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