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How Big are the Ambiguity-Based Premiums on Mortgage Insurances?

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  • Chang-Chih Chen

    (Jiangxi Normal University)

  • Chia-Chien Chang

    (National Kaohsiung University of Applied Science)

Abstract

This paper studies how ambiguity aversion affects the pricing of mortgage insurance (MI). We consider pricing-kernel ambiguity arising from market incompleteness. This ambiguity model is applied to a standard framework of MI-ML (mortgage loan) structural pricing. Our quantitative results show that insurers’ ambiguity aversion generates substantial positive effects on MI premium. Ambiguity impacts are highly sensitive to loan-to-value ratio, ambiguity magnitude, and the tightness of information constraints. By using the U.S. city-level housing and mortgage data, we estimate that, on average, ambiguity aversion increases MI premium rate by 77 % (46 bps), and explains about 60–90 % of pricing errors.

Suggested Citation

  • Chang-Chih Chen & Chia-Chien Chang, 2019. "How Big are the Ambiguity-Based Premiums on Mortgage Insurances?," The Journal of Real Estate Finance and Economics, Springer, vol. 58(1), pages 133-157, January.
    • Handle: RePEc:kap:jrefec:v:58:y:2019:i:1:d:10.1007_s11146-016-9569-9
    DOI: 10.1007/s11146-016-9569-9
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    as
    1. Gabriel Perez‐Quiros & Allan Timmermann, 2000. "Firm Size and Cyclical Variations in Stock Returns," Journal of Finance, American Finance Association, vol. 55(3), pages 1229-1262, June.
    2. Boyarchenko, Nina, 2012. "Ambiguity shifts and the 2007–2008 financial crisis," Journal of Monetary Economics, Elsevier, vol. 59(5), pages 493-507.
    3. John H. Cochrane & Jesus Saa-Requejo, 2000. "Beyond Arbitrage: Good-Deal Asset Price Bounds in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 79-119, February.
    4. Subal Kumbhakar & Christopher Parmeter, 2010. "Estimation of hedonic price functions with incomplete information," Empirical Economics, Springer, vol. 39(1), pages 1-25, August.
    5. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Misspecification," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 6, pages 155-216, World Scientific Publishing Co. Pte. Ltd..
    6. Zhao, Lin & Zhu, Wei, 2011. "Ambiguity Aversion: A New Perspective on Insurance Pricing," ASTIN Bulletin, Cambridge University Press, vol. 41(1), pages 157-189, May.
    7. Cogley, Timothy, 2001. "A Frequency Decomposition of Approximation Errors in Stochastic Discount Factor Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(2), pages 473-503, May.
    8. Azevedo-Pereira, Jose A & Newton, David P & Paxson, Dean A, 2003. "Fixed-Rate Endowment Mortgage and Mortgage Indemnity Valuation," The Journal of Real Estate Finance and Economics, Springer, vol. 26(2-3), pages 197-221, March-May.
    9. 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.
    10. Nengjiu Ju & Jianjun Miao, 2012. "Ambiguity, Learning, and Asset Returns," Econometrica, Econometric Society, vol. 80(2), pages 559-591, March.
    11. Sujoy Mukerji & Jean-Marc Tallon, 2001. "Ambiguity Aversion and Incompleteness of Financial Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(4), pages 883-904.
    12. Qi, Min & Yang, Xiaolong, 2009. "Loss given default of high loan-to-value residential mortgages," Journal of Banking & Finance, Elsevier, vol. 33(5), pages 788-799, May.
    13. Chang, Chia-Chien, 2014. "Valuation Of Mortgage Insurance Contracts With Counterparty Default Risk: Reduced-Form Approach," ASTIN Bulletin, Cambridge University Press, vol. 44(2), pages 303-334, May.
    14. Hodrick, Robert J. & Zhang, Xiaoyan, 2001. "Evaluating the specification errors of asset pricing models," Journal of Financial Economics, Elsevier, vol. 62(2), pages 327-376, November.
    15. Miao, Jianjun & Wang, Neng, 2007. "Investment, consumption, and hedging under incomplete markets," Journal of Financial Economics, Elsevier, vol. 86(3), pages 608-642, December.
    16. 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.
    17. Kau, James B, et al, 1992. "A Generalized Valuation Model for Fixed-Rate Residential Mortgages," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 24(3), pages 279-299, August.
    18. Hansen, Lars Peter & Jagannathan, Ravi, 1997. "Assessing Specification Errors in Stochastic Discount Factor Models," Journal of Finance, American Finance Association, vol. 52(2), pages 557-590, June.
    19. Chia-Chien Chang & Chou-Wen Wang & Chih-Yuan Yang, 2012. "The Effects of Macroeconomic Factors on Pricing Mortgage Insurance Contracts," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 79(3), pages 867-895, September.
    20. Glenn B. Canner & Monisha Mittal & Wayne Passmore, 1994. "Private mortgage insurance," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Oct, pages 883-899.
    21. Alexander David, 2008. "Inflation Uncertainty, Asset Valuations, and the Credit Spreads Puzzle," The Review of Financial Studies, Society for Financial Studies, vol. 21(6), pages 2487-2534, November.
    22. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-262, April.
    23. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    24. Thijssen, Jacco J.J., 2011. "Incomplete markets, ambiguity, and irreversible investment," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 909-921, June.
    25. Kunreuther, Howard & Hogarth, Robin & Meszaros, Jacqueline, 1993. "Insurer Ambiguity and Maarket Failure," Journal of Risk and Uncertainty, Springer, vol. 7(1), pages 71-87, August.
    26. Jin-Chuan Duan & Jason Wei, 2009. "Systematic Risk and the Price Structure of Individual Equity Options," The Review of Financial Studies, Society for Financial Studies, vol. 22(5), pages 1981-2006, May.
    27. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Uncertainty," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 5, pages 145-154, World Scientific Publishing Co. Pte. Ltd..
    28. Phelim Boyle & Shui Feng & Weidong Tian & Tan Wang, 2008. "Robust Stochastic Discount Factors," The Review of Financial Studies, Society for Financial Studies, vol. 21(3), pages 1077-1122, May.
    29. James Kau & Donald Keenan & Alexey Smurov, 2006. "Reduced Form Mortgage Pricing as an Alternative to Option-Pricing Models," The Journal of Real Estate Finance and Economics, Springer, vol. 33(3), pages 183-196, November.
    30. José A. Azevedo‐Pereira & David P. Newton & Dean A. Paxson, 2002. "UK Fixed Rate Repayment Mortgage and Mortgage Indemnity Valuation," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 30(2), pages 185-211.
    31. Hua Chen & Michael Sherris & Tao Sun & Wenge Zhu, 2013. "Living With Ambiguity: Pricing Mortality-Linked Securities With Smooth Ambiguity Preferences," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 705-732, September.
    32. Zhu, Wenge, 2011. "Ambiguity aversion and an intertemporal equilibrium model of catastrophe-linked securities pricing," Insurance: Mathematics and Economics, Elsevier, vol. 49(1), pages 38-46, July.
    33. Savor, Pavel & Wilson, Mungo, 2013. "How Much Do Investors Care About Macroeconomic Risk? Evidence from Scheduled Economic Announcements," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 48(2), pages 343-375, April.
    34. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    35. Ulrich, Maxim, 2013. "Inflation ambiguity and the term structure of U.S. Government bonds," Journal of Monetary Economics, Elsevier, vol. 60(2), pages 295-309.
    36. Donald F. Cunningham & Patric H. Hendershott, 1984. "Pricing FHA Mortgage Default Insurance," NBER Working Papers 1382, National Bureau of Economic Research, Inc.
    37. Nicholas Sharp & David Newton & Peter Duck, 2008. "An Improved Fixed-Rate Mortgage Valuation Methodology with Interacting Prepayment and Default Options," The Journal of Real Estate Finance and Economics, Springer, vol. 36(3), pages 307-342, April.
    38. Mao‐Wei Hung & Yu‐Hong Liu, 2005. "Pricing vulnerable options in incomplete markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 25(2), pages 135-170, February.
    39. Rama Cont, 2006. "Model Uncertainty And Its Impact On The Pricing Of Derivative Instruments," Mathematical Finance, Wiley Blackwell, vol. 16(3), pages 519-547, July.
    40. Susanne Cannon & Norman G. Miller & Gurupdesh S. Pandher, 2006. "Risk and Return in the U.S. Housing Market: A Cross-Sectional Asset-Pricing Approach," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 34(4), pages 519-552, December.
    41. 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.
    42. Kau, James B. & Keenan, Donald C. & Muller III, Walter J. & Epperson, James F., 1995. "The Valuation at Origination of Fixed-Rate Mortgages with Default and Prepayment," The Journal of Real Estate Finance and Economics, Springer, vol. 11(1), pages 5-36, July.
    43. Rama Cont, 2006. "Model uncertainty and its impact on the pricing of derivative instruments," Post-Print halshs-00002695, HAL.
    44. Chia-Chien Chang & Wei-Yi Huang & So-De Shyu, 2012. "Pricing Mortgage Insurance with Asymmetric Jump Risk and Default Risk: Evidence in the U.S. Housing Market," The Journal of Real Estate Finance and Economics, Springer, vol. 45(4), pages 846-868, November.
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