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題名 On the valuation of reverse mortgage insurance
作者 Wang, Chou-Wen;Huang, Hong-Chih;Lee, Yung-Tsung
王昭文;黃泓智
貢獻者 風管系
日期 2016-05
上傳時間 15-Jan-2016 15:31:27 (UTC+8)
摘要 This article presents a closed-form formula for calculating the loan-to-value (LTV) ratio in an adjusted-rate reverse mortgage (RM) with a lump sum payment. Previous literatures consider the pricing of RM in a constant interest rate assumption and price it on fixed-rate loans. This paper successfully considers the dynamic of interest rate and the adjustable-rate RM simultaneously. This paper also considers the housing price shock into the valuation model. Assuming that house prices follow a jump diffusion process with a stochastic interest rate and that the loan interest rate is adjusted instantaneously according to the short rate, we demonstrate that the LTV ratio is independent of the term structure of interest rates. This argument holds even when housing prices follow a general process: an exponential Lévy process. In addition, the HECM (Home Equity Conversion Mortgage) program may be not sustainable, especially for a higher level of housing price volatility. Finally, when the loan interest rate is adjusted periodically according to the LIBOR rate, our finding reveals that the LTV ratio is insensitive to the parameters characterizing the CIR model.
關聯 Scandinavian Actuarial Journal, 2016(4), 293-318
資料類型 article
DOI http://dx.doi.org/10.1080/03461238.2014.925967
dc.contributor 風管系
dc.creator (作者) Wang, Chou-Wen;Huang, Hong-Chih;Lee, Yung-Tsung
dc.creator (作者) 王昭文;黃泓智zh_TW
dc.date (日期) 2016-05
dc.date.accessioned 15-Jan-2016 15:31:27 (UTC+8)-
dc.date.available 15-Jan-2016 15:31:27 (UTC+8)-
dc.date.issued (上傳時間) 15-Jan-2016 15:31:27 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/80618-
dc.description.abstract (摘要) This article presents a closed-form formula for calculating the loan-to-value (LTV) ratio in an adjusted-rate reverse mortgage (RM) with a lump sum payment. Previous literatures consider the pricing of RM in a constant interest rate assumption and price it on fixed-rate loans. This paper successfully considers the dynamic of interest rate and the adjustable-rate RM simultaneously. This paper also considers the housing price shock into the valuation model. Assuming that house prices follow a jump diffusion process with a stochastic interest rate and that the loan interest rate is adjusted instantaneously according to the short rate, we demonstrate that the LTV ratio is independent of the term structure of interest rates. This argument holds even when housing prices follow a general process: an exponential Lévy process. In addition, the HECM (Home Equity Conversion Mortgage) program may be not sustainable, especially for a higher level of housing price volatility. Finally, when the loan interest rate is adjusted periodically according to the LIBOR rate, our finding reveals that the LTV ratio is insensitive to the parameters characterizing the CIR model.
dc.format.extent 621737 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Scandinavian Actuarial Journal, 2016(4), 293-318
dc.title (題名) On the valuation of reverse mortgage insurance
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1080/03461238.2014.925967
dc.doi.uri (DOI) http://dx.doi.org/10.1080/03461238.2014.925967