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題名 不同制度下附保證型變額年金之資本要求研究
Study of Capital Requirement of Guaranteed Minimum Benefit Variable Annuity under Implementation of Different Capital Standard
作者 戴偉軒
Tai, Wei-Hsuan
貢獻者 黃泓智<br>楊曉文
Huang, Hong-Chih<br>Yang, Sharon S.
戴偉軒
Tai, Wei-Hsuan
關鍵詞 附保證型變額年金
新一代清償能力制度
ICS 2.0
AG 43
VM-21
Guaranteed minimum benefit variable annuity
ICS 2.0
AG 43
VM-21
日期 2021
上傳時間 10-Feb-2022 12:56:12 (UTC+8)
摘要 台灣將於2026年採用以ICS2.0(Insurance Capital Standard 2.0)為基礎之新一代清償能力制度以取代過去的風險資本額制度(Risk-Based Capital),而NAIC(National Association of Insurance Commissioners)對於附保證型商品之準則也隨著時間更迭,準備金制度VM21自2020年供保險公司自願性加入,逐漸取代AG43。
本研究以躉繳最低死亡、提領保證變額年金(Guaranteed minimum death, withdrawal variable annuity)為例探討不同制度對附保證型商品的資本要求影響。準備金方面,研究發現VM21(Valuation Manual 21)準備金普遍較AG43(Actuarial Guideline XLIII)保守,保險公司需提存較高之準備金,且VM21準備金對市場波動的反應也較為劇烈。資本要求方面,相較於風險資本額制度RBC使用係數法計算,以ICS2.0透過壓力法計算之資本要求金額較高,且較能反映市場變化,當市場下跌時ICS2.0之資本要求較能即時反應該商品潛在風險。綜觀而言,ICS2.0制度較過去RBC更能反映市場現況,而VM21制度較AG43制度保守,因此保險公司未來發行附保證型商品時應謹慎估算準備金與資本要求以因應資本市場短時間的大幅波動,建議保險公司應在發行商品前考量風險胃納以利永續經營。
Taiwan will implement a new capital-adequacy requirement which is based on ICS2.0(Insurance Capital Standard 2.0) in 2026 to replace the Risk-Based Capital standard. Besides, the reserve standard for guaranteed minimum benefit variable annuity has changed from AG43(Actuarial Guideline XLIII) to VM21(Valuation Manual 21) which has been voluntarily adopted by insurance companies since 2020.
This research studies the impact on the capital requirement of single-payment guaranteed minimum death and withdrawal benefit variable annuity under the different capital standards. For the reserve, the research finds out VM21 is more conservative than AG43, and thus, insurance companies should prepare more reserves under the new standard. Besides, the VM21 reserve is more sensitive to the market, so the reserve amount is more volatile than the AG43 reserve. For the capital requirement, the capital requirement amount calculated by the stress test under ICS2.0 is more than the amount calculated by the factor-based method under RBC, and because ICS2.0 is more sensitive to the market, the capital requirement can better reflect the implied risk of the insurance product in the bear market. In short, ICS2.0 can better reflect the market condition, VM21 is more conservative than AG43, and thus, insurance companies should be more prudently to estimate reserve amount and capital requirement amount to react to the huge fluctuation of the market and to consider the risk capacity before issuing a guaranteed minimum benefit variable annuity to operate sustainably.
參考文獻 中文文獻
1.徐英豪(2019)。附保證投資型保險商品資產配置之研究。國立政治大學風險管理與保險學系碩士論文。
2.陳柏仁(2020)。台灣壽險業經驗資料的死亡率模型與死亡風險資本分析。東吳大學財務工程與精算數學系碩士論文。
3.譚雅蓁(2009)。保險業清償能力制度之探討—以歐盟Solvency II為例。國立政治大學風險管理與保險學系碩士論文。

英文文獻
1.American Academy of Actuaries ‘Life Capital Adequacy Subcommittee to the National Association of Insurance Commissioners’ Capital Adequacy Task Force. (2005). Recommended Approach for Setting Regulatory Risk-Based Capital Requirements for Variable Annuities and Similar Products.
2.American Academy of Actuaries Variable Annuity Practice Note Work Group. (2011). The Application of C-3 Phase II and Actuarial Guideline XLIII.
3.Cox, J. C., Ingersoll, J. E., & Ross, S. A. (1985). A Theory of The Term Structure of Interest-Rates. Econometrica, 53(2), 385-407. https://doi.org/10.2307/1911242
4.Cummins, J. D., Grace, M. F., & Phillips, R. D. (1999). Regulatory solvency prediction in property-liability insurance: Risk-based capital, audit ratios, and cash flow simulation. Journal of Risk and Insurance, 66(3), 417-458. https://doi.org/10.2307/253555
5.Cummins, J. D., Harrington, S. E., & Klein, R. (1995). Insolvency Experience, Risk-Based Capital, and Prompt Corrective Action in Property-Liability Insurance. Journal of Banking & Finance, 19(3-4), 511-527. https://doi.org/10.1016/0378-4266(94)00136-q
6.Dong, B., Xu, W., Sevic, A., & Sevic, Z. (2020). Efficient willow tree method for variable annuities valuation and risk management. International Review of Financial Analysis, 68, Article 101429. https://doi.org/10.1016/j.irfa.2019.101429
7.Duan, J. C., & Yu, M. T. (2005). Fair insurance guaranty premia in the presence of risk-based capital regulations, stochastic interest rate and catastrophe risk. Journal of Banking & Finance, 29(10), 2435-2454. https://doi.org/10.1016/j.jbankfin.2004.08.012
8.Feng, R. H., & Vecer, J. (2017). Risk based capital for guaranteed minimum withdrawal benefit. Quantitative Finance, 17(3), 471-478. https://doi.org/10.1080/14697688.2016.1189087
9.International Association of Insurance Supervisors. (2020). Instructions for the April 2020 Insurance Capital Standard (ICS) Data Collection Exercise of the Monitoring Period Project.
10.Jurkonyte, E., & Girdzijauskas, S. A. (2010). The Solvency Requirements in The Project Solvency II: Evaluating The Impact of Insurance Companies` Financial Results. Transformations in Business & Economics, 9(3), 147-157.
11.National Association of Insurance Commissioners. (2008). Actuarial Guideline XLIII.
12.National Association of Insurance Commissioners. (2020). Valuation Manual.
13.Oliver Wyman. (2016). NAIC VA Reserve and Capital Reform Recommended Revisions to AG43 & C3P2.
14.Wang, J. D., & Xu, W. (2020). Risk-based Capital for Variable Annuity under Stochastic Interest Rate. Astin Bulletin, 50(3), 959-999. https://doi.org/10.1017/asb.2020.20
15.Zhuo, J.(2006). The Economic Capital and Risk Adjustment Performance for VA with Guarantees with an Example of GMAB. Enterprise Risk Management Symposium, Society of Actuaries.
描述 碩士
國立政治大學
風險管理與保險學系
108358020
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0108358020
資料類型 thesis
dc.contributor.advisor 黃泓智<br>楊曉文zh_TW
dc.contributor.advisor Huang, Hong-Chih<br>Yang, Sharon S.en_US
dc.contributor.author (Authors) 戴偉軒zh_TW
dc.contributor.author (Authors) Tai, Wei-Hsuanen_US
dc.creator (作者) 戴偉軒zh_TW
dc.creator (作者) Tai, Wei-Hsuanen_US
dc.date (日期) 2021en_US
dc.date.accessioned 10-Feb-2022 12:56:12 (UTC+8)-
dc.date.available 10-Feb-2022 12:56:12 (UTC+8)-
dc.date.issued (上傳時間) 10-Feb-2022 12:56:12 (UTC+8)-
dc.identifier (Other Identifiers) G0108358020en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/138894-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 風險管理與保險學系zh_TW
dc.description (描述) 108358020zh_TW
dc.description.abstract (摘要) 台灣將於2026年採用以ICS2.0(Insurance Capital Standard 2.0)為基礎之新一代清償能力制度以取代過去的風險資本額制度(Risk-Based Capital),而NAIC(National Association of Insurance Commissioners)對於附保證型商品之準則也隨著時間更迭,準備金制度VM21自2020年供保險公司自願性加入,逐漸取代AG43。
本研究以躉繳最低死亡、提領保證變額年金(Guaranteed minimum death, withdrawal variable annuity)為例探討不同制度對附保證型商品的資本要求影響。準備金方面,研究發現VM21(Valuation Manual 21)準備金普遍較AG43(Actuarial Guideline XLIII)保守,保險公司需提存較高之準備金,且VM21準備金對市場波動的反應也較為劇烈。資本要求方面,相較於風險資本額制度RBC使用係數法計算,以ICS2.0透過壓力法計算之資本要求金額較高,且較能反映市場變化,當市場下跌時ICS2.0之資本要求較能即時反應該商品潛在風險。綜觀而言,ICS2.0制度較過去RBC更能反映市場現況,而VM21制度較AG43制度保守,因此保險公司未來發行附保證型商品時應謹慎估算準備金與資本要求以因應資本市場短時間的大幅波動,建議保險公司應在發行商品前考量風險胃納以利永續經營。
zh_TW
dc.description.abstract (摘要) Taiwan will implement a new capital-adequacy requirement which is based on ICS2.0(Insurance Capital Standard 2.0) in 2026 to replace the Risk-Based Capital standard. Besides, the reserve standard for guaranteed minimum benefit variable annuity has changed from AG43(Actuarial Guideline XLIII) to VM21(Valuation Manual 21) which has been voluntarily adopted by insurance companies since 2020.
This research studies the impact on the capital requirement of single-payment guaranteed minimum death and withdrawal benefit variable annuity under the different capital standards. For the reserve, the research finds out VM21 is more conservative than AG43, and thus, insurance companies should prepare more reserves under the new standard. Besides, the VM21 reserve is more sensitive to the market, so the reserve amount is more volatile than the AG43 reserve. For the capital requirement, the capital requirement amount calculated by the stress test under ICS2.0 is more than the amount calculated by the factor-based method under RBC, and because ICS2.0 is more sensitive to the market, the capital requirement can better reflect the implied risk of the insurance product in the bear market. In short, ICS2.0 can better reflect the market condition, VM21 is more conservative than AG43, and thus, insurance companies should be more prudently to estimate reserve amount and capital requirement amount to react to the huge fluctuation of the market and to consider the risk capacity before issuing a guaranteed minimum benefit variable annuity to operate sustainably.
en_US
dc.description.tableofcontents 中文摘要 I
ABSTRACT II
目錄 III
表目次 V
圖目次 VII
第壹章 緒論 1
第一節 研究動機 1
第二節 研究目的 2
第三節 研究架構 3
第貳章 文獻回顧 5
第一節 RBC風險資本額制度 5
第二節 清償能力SOLVENCY與保險資本標準ICS2.0制度 6
第三節 變額年金之風險衡量 7
第參章 附保證商品準備金提存及監理規範 8
第一節 附保證商品介紹 8
第二節 附保證商品準備金監理要求規定 9
一、舊制-第 43 號精算作業準則(AG43) 9
二、新制-第21號準備金提存規範(VM 21) 12
第三節 資本要求監理制度 17
一、現行RBC制度 17
二、未來研擬採納之保險資本標準(ICS) 19
第肆章 研究方法選用模型介紹 23
第一節 選用模型介紹 23
第二節 現金流量模型 26
第三節 資本要求計算 30
第伍章 模型參數估計與參數設定 32
第一節 一般帳戶模型參數估計與設定 32
第二節 分離帳戶模型參數估計與設定 34
第陸章 精算假設與結果分析 36
第一節 精算假設 36
第二節 報酬率結果 38
第三節 準備金與資本結果分析 42
第四節 敏感度分析 48
第柒章 結論與建議 53
第一節 結論與建議 53
第二節 未來研究方向 54
參考文獻 55
中文文獻 55
英文文獻 56
附錄一、校正表 58
附錄二、基礎情境之數值結果 60
zh_TW
dc.format.extent 2207279 bytes-
dc.format.mimetype application/pdf-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0108358020en_US
dc.subject (關鍵詞) 附保證型變額年金zh_TW
dc.subject (關鍵詞) 新一代清償能力制度zh_TW
dc.subject (關鍵詞) ICS 2.0zh_TW
dc.subject (關鍵詞) AG 43zh_TW
dc.subject (關鍵詞) VM-21zh_TW
dc.subject (關鍵詞) Guaranteed minimum benefit variable annuityen_US
dc.subject (關鍵詞) ICS 2.0en_US
dc.subject (關鍵詞) AG 43en_US
dc.subject (關鍵詞) VM-21en_US
dc.title (題名) 不同制度下附保證型變額年金之資本要求研究zh_TW
dc.title (題名) Study of Capital Requirement of Guaranteed Minimum Benefit Variable Annuity under Implementation of Different Capital Standarden_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) 中文文獻
1.徐英豪(2019)。附保證投資型保險商品資產配置之研究。國立政治大學風險管理與保險學系碩士論文。
2.陳柏仁(2020)。台灣壽險業經驗資料的死亡率模型與死亡風險資本分析。東吳大學財務工程與精算數學系碩士論文。
3.譚雅蓁(2009)。保險業清償能力制度之探討—以歐盟Solvency II為例。國立政治大學風險管理與保險學系碩士論文。

英文文獻
1.American Academy of Actuaries ‘Life Capital Adequacy Subcommittee to the National Association of Insurance Commissioners’ Capital Adequacy Task Force. (2005). Recommended Approach for Setting Regulatory Risk-Based Capital Requirements for Variable Annuities and Similar Products.
2.American Academy of Actuaries Variable Annuity Practice Note Work Group. (2011). The Application of C-3 Phase II and Actuarial Guideline XLIII.
3.Cox, J. C., Ingersoll, J. E., & Ross, S. A. (1985). A Theory of The Term Structure of Interest-Rates. Econometrica, 53(2), 385-407. https://doi.org/10.2307/1911242
4.Cummins, J. D., Grace, M. F., & Phillips, R. D. (1999). Regulatory solvency prediction in property-liability insurance: Risk-based capital, audit ratios, and cash flow simulation. Journal of Risk and Insurance, 66(3), 417-458. https://doi.org/10.2307/253555
5.Cummins, J. D., Harrington, S. E., & Klein, R. (1995). Insolvency Experience, Risk-Based Capital, and Prompt Corrective Action in Property-Liability Insurance. Journal of Banking & Finance, 19(3-4), 511-527. https://doi.org/10.1016/0378-4266(94)00136-q
6.Dong, B., Xu, W., Sevic, A., & Sevic, Z. (2020). Efficient willow tree method for variable annuities valuation and risk management. International Review of Financial Analysis, 68, Article 101429. https://doi.org/10.1016/j.irfa.2019.101429
7.Duan, J. C., & Yu, M. T. (2005). Fair insurance guaranty premia in the presence of risk-based capital regulations, stochastic interest rate and catastrophe risk. Journal of Banking & Finance, 29(10), 2435-2454. https://doi.org/10.1016/j.jbankfin.2004.08.012
8.Feng, R. H., & Vecer, J. (2017). Risk based capital for guaranteed minimum withdrawal benefit. Quantitative Finance, 17(3), 471-478. https://doi.org/10.1080/14697688.2016.1189087
9.International Association of Insurance Supervisors. (2020). Instructions for the April 2020 Insurance Capital Standard (ICS) Data Collection Exercise of the Monitoring Period Project.
10.Jurkonyte, E., & Girdzijauskas, S. A. (2010). The Solvency Requirements in The Project Solvency II: Evaluating The Impact of Insurance Companies` Financial Results. Transformations in Business & Economics, 9(3), 147-157.
11.National Association of Insurance Commissioners. (2008). Actuarial Guideline XLIII.
12.National Association of Insurance Commissioners. (2020). Valuation Manual.
13.Oliver Wyman. (2016). NAIC VA Reserve and Capital Reform Recommended Revisions to AG43 & C3P2.
14.Wang, J. D., & Xu, W. (2020). Risk-based Capital for Variable Annuity under Stochastic Interest Rate. Astin Bulletin, 50(3), 959-999. https://doi.org/10.1017/asb.2020.20
15.Zhuo, J.(2006). The Economic Capital and Risk Adjustment Performance for VA with Guarantees with an Example of GMAB. Enterprise Risk Management Symposium, Society of Actuaries.
zh_TW
dc.identifier.doi (DOI) 10.6814/NCCU202200035en_US