Pricing various types of mortgage insurances with disposal and discount costs under a mean-reverting Lévy housing price process
Xiaoye Gong,
Ying Li,
Yang-Che Wu and
Wan-Shiou Yang
Physica A: Statistical Mechanics and its Applications, 2020, vol. 551, issue C
Abstract:
This paper studies various types of mortgage insurance contract which show different series of mortgage cash flow. The valuations of such contracts are expressed by analytical pricing formulas with the disposal cost and price discount incurred in repossessing and selling collaterals. The dynamics of housing price is assumed to follow a mean-reverting Lévy process. Sensitivity analysis shows that initial housing price and coverage rate, mean-reverting rate, and characteristics of individual housing price all play important roles in valuing MI contracts. Two actual costs increase the premium of MI contracts.
Keywords: Mortgage insurance; Moral hazard risk; Disposal cost; Mean-reverting process; Lévy process (search for similar items in EconPapers)
JEL-codes: C46 G12 G22 (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:551:y:2020:i:c:s0378437120302648
DOI: 10.1016/j.physa.2020.124561
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