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Rationales of Mortgage Insurance Premium Structures

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Abstract

This paper examines the rationales for the design of mortgage insurance premium structures. The actuarially sound premium prices of several widely used structures are formally derives. Two types of cross-subsidization are identified in different structures: (1) subsidization across termination years and (2) extra-subsidization of defaulters by non-defaulters. Because these two types of subsidization exist to different degree among the structures, a borrower may self-select into certain structures to maximize (minimize) the benefits (losses) of cross-subsidies. Adverse selection arises when the borrower's characteristics cannot be completely observed by the insurer. The actuarially sound premium prices should be adjusted for such adverse selection behaviors. Numerical examples are provided to illustrate such adjustments.

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  • Barry Dennis & Chionglong Kuo & Tyler Yang, 1997. "Rationales of Mortgage Insurance Premium Structures," Journal of Real Estate Research, American Real Estate Society, vol. 14(3), pages 359-378.
    • Handle: RePEc:jre:issued:v:14:n:3:1997:p:359-378
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    1. James F. Epperson & James B. Kau & Donald C. Keenan & Walter J. Muller, 1985. "Pricing Default Risk in Mortgages," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 13(3), pages 261-272, September.
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    6. Calhoun, Charles A & Deng, Yongheng, 2002. "A Dynamic Analysis of Fixed- and Adjustable-Rate Mortgage Terminations," The Journal of Real Estate Finance and Economics, Springer, vol. 24(1-2), pages 9-33, Jan.-Marc.
    7. Craig Swan, 1982. "Pricing Private Mortgage Insurance," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 10(3), pages 276-296, September.
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    Cited by:

    1. Wu, Yang-Che & Huang, Yi-Ting & Lin, Shih-Kuei & Chuang, Ming-Che, 2017. "Fair valuation of mortgage insurance under stochastic default and interest rates," The North American Journal of Economics and Finance, Elsevier, vol. 42(C), pages 433-447.
    2. Gong, Xiaoye & Li, Ying & Wu, Yang-Che & Yang, Wan-Shiou, 2020. "Pricing various types of mortgage insurances with disposal and discount costs under a mean-reverting Lévy housing price process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    3. Ming‐Chi Chen & Chia‐Chien Chang & Shih‐Kuei Lin & So‐De Shyu, 2010. "Estimation of Housing Price Jump Risks and Their Impact on the Valuation of Mortgage Insurance Contracts," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(2), pages 399-422, June.
    4. Chia-Chien Chang & Min-Teh Yu, 2017. "Valuing Vulnerable Mortgage Insurance Under Capital Forbearance," The Journal of Real Estate Finance and Economics, Springer, vol. 54(4), pages 558-578, May.
    5. (David) Ho, Kim Hin & Su, Huiyong, 2006. "Structural prepayment risk behavior of the underlying mortgages for residential mortgage life insurance in a developing market," Journal of Housing Economics, Elsevier, vol. 15(3), pages 257-278, September.
    6. Ashok Bardhan & Raša Karapandža & Branko Urošević, 2006. "Valuing Mortgage Insurance Contracts in Emerging Market Economies," The Journal of Real Estate Finance and Economics, Springer, vol. 32(1), pages 9-20, February.
    7. Yang, Chih-Yuan & Chang, Chia-Chien, 2024. "Do economic uncertainty and persistence in housing prices matter on mortgage insurance?," The Quarterly Review of Economics and Finance, Elsevier, vol. 95(C), pages 33-44.
    8. Calvo-Garrido, María del Carmen & Vázquez, Carlos, 2015. "Effects of jump-diffusion models for the house price dynamics in the pricing of fixed-rate mortgages, insurance and coinsurance," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 730-742.

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    • L85 - Industrial Organization - - Industry Studies: Services - - - Real Estate Services

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