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題名 Evaluating Quantile Reserve for Equity-Linked Insurance under a Stochastic Volatility Model: Long-Memory vs. Short-Memory
作者 楊曉文
Yang, Sharon S.
貢獻者 金融系
日期 2010
上傳時間 21-Jul-2020 15:26:49 (UTC+8)
摘要 This paper evaluates the long-term risk for equity-linked insurance products. We consider a specific type of equity-linked insurance product with guaranteed minimum maturity benefits (GMMBs), and assume that the underlying equity follows the stochastic volatility model which allows the return`s latent volatility component to be short- or long-memory. The explicit form of the quantile reserve or the Value at Risk and its confidence intervals are derived for both the long-memory and short-memory stochastic volatility models. To illustrate the effect of long-memory volatility, we use the S&P 500 index as an example of linked equity. Simulation studies are performed to examine the accuracy of the quantile reserve and to demonstrate the consequence of low coverage probability if model misspecification takes place. The empirical results show that the confidence interval of quantile reserve could be severely underestimated if the long-memory effect in equity volatility is ignored.
關聯 ASTIN Bulletin, 40:2 ,669-698
資料類型 article
DOI  https://doi.org/10.2143/AST.40.2.2061133
dc.contributor 金融系
dc.creator (作者) 楊曉文
dc.creator (作者) Yang, Sharon S.
dc.date (日期) 2010
dc.date.accessioned 21-Jul-2020 15:26:49 (UTC+8)-
dc.date.available 21-Jul-2020 15:26:49 (UTC+8)-
dc.date.issued (上傳時間) 21-Jul-2020 15:26:49 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/130737-
dc.description.abstract (摘要) This paper evaluates the long-term risk for equity-linked insurance products. We consider a specific type of equity-linked insurance product with guaranteed minimum maturity benefits (GMMBs), and assume that the underlying equity follows the stochastic volatility model which allows the return`s latent volatility component to be short- or long-memory. The explicit form of the quantile reserve or the Value at Risk and its confidence intervals are derived for both the long-memory and short-memory stochastic volatility models. To illustrate the effect of long-memory volatility, we use the S&P 500 index as an example of linked equity. Simulation studies are performed to examine the accuracy of the quantile reserve and to demonstrate the consequence of low coverage probability if model misspecification takes place. The empirical results show that the confidence interval of quantile reserve could be severely underestimated if the long-memory effect in equity volatility is ignored.
dc.format.extent 287 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) ASTIN Bulletin, 40:2 ,669-698
dc.title (題名) Evaluating Quantile Reserve for Equity-Linked Insurance under a Stochastic Volatility Model: Long-Memory vs. Short-Memory
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.2143/AST.40.2.2061133
dc.doi.uri (DOI)  https://doi.org/10.2143/AST.40.2.2061133