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題名 Analyzing yield, duration and convexity of mortgage loans under prepayment and default risks
作者 廖四郎
Tsai, Ming-Shann;Liao, Szu-Lang;Chiang, Shu-Ling
貢獻者 金融系
關鍵詞 yield;duration;convexity;default insurance;prepayment penalty;partial prepaymen
日期 2009
上傳時間 9-Oct-2014 16:46:08 (UTC+8)
摘要 In this article, we construct a general model, which considers the borrower`s financial and non-financial termination behavior, to derive the closed-form formula of the mortgage value for analyzing the yield, duration and convexity of the risky mortgage. Since the risks of prepayment and default are reasonably expounded in our model, our formulae are more appropriate than traditional mortgage formulae. We also analyze the effects of the prepayment penalty and partial prepayment on the yield, duration and convexity of a mortgage, and provide lenders with an upper-bound for the mortgage default insurance rate. Our model provides portfolio managers a useful framework to more appropriately appraise the mortgage and more effectively hedge their mortgage holdings. From the results of sensitivity analyses, we find that higher interest-rate, prepayment and default risks will increase the mortgage yield and reduce the duration and convexity of the mortgage.
關聯 Journal of Housing Economics,18(2),92-103
資料類型 article
DOI http://dx.doi.org/10.1016/j.jhe.2009.02.005
dc.contributor 金融系en_US
dc.creator (作者) 廖四郎zh_TW
dc.creator (作者) Tsai, Ming-Shann;Liao, Szu-Lang;Chiang, Shu-Lingen_US
dc.date (日期) 2009en_US
dc.date.accessioned 9-Oct-2014 16:46:08 (UTC+8)-
dc.date.available 9-Oct-2014 16:46:08 (UTC+8)-
dc.date.issued (上傳時間) 9-Oct-2014 16:46:08 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/70514-
dc.description.abstract (摘要) In this article, we construct a general model, which considers the borrower`s financial and non-financial termination behavior, to derive the closed-form formula of the mortgage value for analyzing the yield, duration and convexity of the risky mortgage. Since the risks of prepayment and default are reasonably expounded in our model, our formulae are more appropriate than traditional mortgage formulae. We also analyze the effects of the prepayment penalty and partial prepayment on the yield, duration and convexity of a mortgage, and provide lenders with an upper-bound for the mortgage default insurance rate. Our model provides portfolio managers a useful framework to more appropriately appraise the mortgage and more effectively hedge their mortgage holdings. From the results of sensitivity analyses, we find that higher interest-rate, prepayment and default risks will increase the mortgage yield and reduce the duration and convexity of the mortgage.en_US
dc.format.extent 152 bytes-
dc.format.mimetype text/html-
dc.language.iso en_US-
dc.relation (關聯) Journal of Housing Economics,18(2),92-103en_US
dc.subject (關鍵詞) yield;duration;convexity;default insurance;prepayment penalty;partial prepaymenen_US
dc.title (題名) Analyzing yield, duration and convexity of mortgage loans under prepayment and default risksen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1016/j.jhe.2009.02.005en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1016/j.jhe.2009.02.005en_US