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題名 隨機匯率波動下人壽保險公司之風險及清償能力評估
Risk and solvency assessment of the life insurer under stochastic exchange rate
作者 李彥寬
Lee, Yen-Kuan
貢獻者 張士傑
Chang, Shih-Chieh
李彥寬
Lee, Yen-Kuan
關鍵詞 匯率風險
匯率避險策略
利率變動型壽險商品
Currency risk
Currency hedging strategy
Interest sensitive life policy
日期 2018
上傳時間 3-Jun-2019 13:03:21 (UTC+8)
摘要 台灣金融市場利率近年來持續走低,對壽險業者來說單靠購買國內資產無法達到要求報酬率,故不得不增加國外投資部為比例。根據保險事業發展中心統計,截至西元2018年第一季,壽險公司之國外投資高已達65.94%。因此壽險必須尋求匯率避險策略以做好匯率之風險管理,本研究將以資產負債模型進行模擬,並考慮納入不同種類之避險工具以及我國法性之外惠價格變動準備金,衡量壽險公司未來之清償能力。
資產部份將以CIR雙因子模型模擬國內外短期利率,匯率則是引用無拋補平價理論以建構其模型,再以Heston模型模擬資產之動態隨機過程;負債部份則假設利率變動型壽險作為壽險公司之所售商品,其中包含宣告利率之設定,以及死亡率與解約率之風險因子的考量;此外,本研究亦考慮匯率避險策略,包含自然避險(Natural Hedge)、無本金交割遠期外匯(Non-Delivery Forward)、外匯價格變動準備金(Foreign Exchange Valuation Reserve)以及一籃子貨幣避險(Currency Basket Hedge);而在參考現行壽險公司之資金運用表後決定本文的投資策略,於風險中立測度下進行10000次之模擬,並以盈餘價值之VaR,CTE及股東買權價值及為約賣權價值分析壽險業未來可能須面臨之清償風險。
The financial market in Taiwan has been suffered from the low interest rate for a long time recently. To achieve higher rate of return, life insurance companies should invest in foreign assets. According to the statistics from Taiwan Insurance Institude,as of the first quarter of 2018, the proportion of overseas investment for all life insurance companies has reached 65.94%, so life insurance companies should consider currency hedging strategies to manage the risk of exchange rate . Thus, we will perform simulation of assets and liabilities, and different types of currency hedging strategies including currency reserve to measure the future solvency capacities of life insurance companies.
Consider assets, we simulate the short-term interest rate based on two-factor CIR model, establish the exchange rate model by Uncovered Interest Rate Parity, and adopt Heston model to simulate stochastic process of assets. As for liabilities, we take interest sensitive life policies into account, including some risk factors, such as mortality and surrender rate. Moreover, we also use some currency hedging strategies, like Natural Hedge, Non-Delivery Forward, Foreign Exchange Valuation Reserve and Currency Basket Hedge. Then we determine our investment strategies on the basis of the current life insurance industry. Finally, we analyze the future solvency capacities of life insurance companies by using VaR and CTE of surplus, call option value of equity ,and default option value through 10000 simulations under risk-neutral measurement.
參考文獻 中文文獻:
蔡政憲,2015。強化保險業國外投資之匯率風險管理與監理機制之研究。國立政治大學保險
業永續發展研究中心。
賴本隊,2010。壽險業「外匯價格變動準備金」評析。壽險季刊,155 期。
張士傑、黃雅文、洪銳棋、曾暐筑,2017,公司之風險及清償能力評估: 檢視利率變動型人
壽保險,管理學報 .
英文文獻:
Andrei Sorin Cozma,2017. Numerical Methods for Foreign Exchange Option Pricing under
Hybrid Stochastic and Local Volatility Models.
Andrei Sorin Cozma,2018. Calibration of a Hybrid Local-Stochastic Volatility
Stochastic Rates Model with a Control Variate Particle Method.
35
Andersen, L. B., 2007. Efficient Simulation of the Heston Stochastic Volatility Model.
Brigo, D., Mercurio, F., 2007. Interest Rate Models: Theory and Practice, Springer, Berlin
Heidelberg New York.
Carlo Zarattini, 2014. An Arbitrage Application of the Longstaff and Schwartz Model.
Cox, J., Ingersoll, J. and Ross, A., 1985. A Theory of the Term Structure of Interest Rates,
Econometrica, vol.53, p.385-407.
C. van Emmerich, November 2007. A Square Root Process for Modelling Correlation, Dissertation,
University of Wuppertal.
Freddy Delbaen, 2002. An Interest Rate Model with Upper and Lower Bounds.
Gouriéroux, C., Valéry, P., 2004. Estimation of a Jacobi Process.
Hao, J. C., 2011. The Pricing for Interest Sensitive Products of Life Insurance Firms, Modern
Economy, No.2, p.194-202.
Heston, S. L., 1993. A Closed-Form Solution for Options with Stochastic Volatility with
Applications to Bond and Currency Options, The Review of Financial Studies, vol.6(2), p.327-
343.
I. J. Clark, 2010. Foreign Exchange Option Pricing: A Practitioner`s Guide, J. Wiley & Sons.
Kladıvko, K., 2007. Maximum Likelihood Estimation of the Cox-Ingersoll-Ross Process: The
Matlab Implementation, Technical Computing Prague.
Longstaff, F.A. and E.S. Schwartz, 1993. Interest Rate Volatility and Bond Prices, Financial
Analysts Journal, July-August, p.70-74.
Marliese Uhrig, 1996. Examination of a Two-Factor Bond Option Valuation Model.
描述 碩士
國立政治大學
風險管理與保險學系
105358025
資料來源 http://thesis.lib.nccu.edu.tw/record/#G1053580252
資料類型 thesis
dc.contributor.advisor 張士傑zh_TW
dc.contributor.advisor Chang, Shih-Chiehen_US
dc.contributor.author (Authors) 李彥寬zh_TW
dc.contributor.author (Authors) Lee, Yen-Kuanen_US
dc.creator (作者) 李彥寬zh_TW
dc.creator (作者) Lee, Yen-Kuanen_US
dc.date (日期) 2018en_US
dc.date.accessioned 3-Jun-2019 13:03:21 (UTC+8)-
dc.date.available 3-Jun-2019 13:03:21 (UTC+8)-
dc.date.issued (上傳時間) 3-Jun-2019 13:03:21 (UTC+8)-
dc.identifier (Other Identifiers) G1053580252en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/123674-
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) 105358025zh_TW
dc.description.abstract (摘要) 台灣金融市場利率近年來持續走低,對壽險業者來說單靠購買國內資產無法達到要求報酬率,故不得不增加國外投資部為比例。根據保險事業發展中心統計,截至西元2018年第一季,壽險公司之國外投資高已達65.94%。因此壽險必須尋求匯率避險策略以做好匯率之風險管理,本研究將以資產負債模型進行模擬,並考慮納入不同種類之避險工具以及我國法性之外惠價格變動準備金,衡量壽險公司未來之清償能力。
資產部份將以CIR雙因子模型模擬國內外短期利率,匯率則是引用無拋補平價理論以建構其模型,再以Heston模型模擬資產之動態隨機過程;負債部份則假設利率變動型壽險作為壽險公司之所售商品,其中包含宣告利率之設定,以及死亡率與解約率之風險因子的考量;此外,本研究亦考慮匯率避險策略,包含自然避險(Natural Hedge)、無本金交割遠期外匯(Non-Delivery Forward)、外匯價格變動準備金(Foreign Exchange Valuation Reserve)以及一籃子貨幣避險(Currency Basket Hedge);而在參考現行壽險公司之資金運用表後決定本文的投資策略,於風險中立測度下進行10000次之模擬,並以盈餘價值之VaR,CTE及股東買權價值及為約賣權價值分析壽險業未來可能須面臨之清償風險。
zh_TW
dc.description.abstract (摘要) The financial market in Taiwan has been suffered from the low interest rate for a long time recently. To achieve higher rate of return, life insurance companies should invest in foreign assets. According to the statistics from Taiwan Insurance Institude,as of the first quarter of 2018, the proportion of overseas investment for all life insurance companies has reached 65.94%, so life insurance companies should consider currency hedging strategies to manage the risk of exchange rate . Thus, we will perform simulation of assets and liabilities, and different types of currency hedging strategies including currency reserve to measure the future solvency capacities of life insurance companies.
Consider assets, we simulate the short-term interest rate based on two-factor CIR model, establish the exchange rate model by Uncovered Interest Rate Parity, and adopt Heston model to simulate stochastic process of assets. As for liabilities, we take interest sensitive life policies into account, including some risk factors, such as mortality and surrender rate. Moreover, we also use some currency hedging strategies, like Natural Hedge, Non-Delivery Forward, Foreign Exchange Valuation Reserve and Currency Basket Hedge. Then we determine our investment strategies on the basis of the current life insurance industry. Finally, we analyze the future solvency capacities of life insurance companies by using VaR and CTE of surplus, call option value of equity ,and default option value through 10000 simulations under risk-neutral measurement.
en_US
dc.description.tableofcontents 第一章 研究動機 1
第二章 文獻回顧 2
第一節 資產負債相關文獻 3
第二節 匯率避險策略相關文獻 3
第三章 模型建立 4
第一節 資產模型 4
第二節 保險負債假設 8
第三節 外匯價格變動準備金 8
第四節 保險給付 9
第五節 風險衡量 10
第四章 實證結果 10
第一節 參數估計與基本假設 10
第二節 模擬過程 12
第三節 數值結果 19
第五章 結論與建議 32
第一節 結論 32
第二節 建議 33
符號定義 34
參考文獻 34

表目錄
表1、解約費用率 8
表2、利率CIR雙因子模型參數估計結果 11
表3、匯率模型參數估計結果 11
表4、相關係數模型參數估計結果 12
表5、股票Heston模型參數估計結果 12
表6、選擇權價值及違約機率結果比較 21
表7、投資策略下之敏感度分析 22
表8、自然避險下之敏感度分析 23
表9、無本金交割遠期外匯下之敏感度分析 24
表10、外匯價格變動準備金下之敏感度分析 24
表11、一籃子貨幣避險下之敏感度分析 24
表12、國內短期利率參數敏感度分析 26
表13、國內長期利率參數敏感度分析 27
表14、國外短期利率參數敏感度分析 28
表15、國外長期利率參數敏感度分析 29
表16、隨機相關係數參數敏感度分析 30
表17、外匯價格變動準備金之敏感度分析 31

圖目錄
圖1、台灣十年期政府公債殖利率走勢圖 1
圖2、壽險業資金運用比例變動圖 2
圖9、未來二十年盈餘模擬走勢圖 20
zh_TW
dc.format.extent 806974 bytes-
dc.format.mimetype application/pdf-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G1053580252en_US
dc.subject (關鍵詞) 匯率風險zh_TW
dc.subject (關鍵詞) 匯率避險策略zh_TW
dc.subject (關鍵詞) 利率變動型壽險商品zh_TW
dc.subject (關鍵詞) Currency risken_US
dc.subject (關鍵詞) Currency hedging strategyen_US
dc.subject (關鍵詞) Interest sensitive life policyen_US
dc.title (題名) 隨機匯率波動下人壽保險公司之風險及清償能力評估zh_TW
dc.title (題名) Risk and solvency assessment of the life insurer under stochastic exchange rateen_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) 中文文獻:
蔡政憲,2015。強化保險業國外投資之匯率風險管理與監理機制之研究。國立政治大學保險
業永續發展研究中心。
賴本隊,2010。壽險業「外匯價格變動準備金」評析。壽險季刊,155 期。
張士傑、黃雅文、洪銳棋、曾暐筑,2017,公司之風險及清償能力評估: 檢視利率變動型人
壽保險,管理學報 .
英文文獻:
Andrei Sorin Cozma,2017. Numerical Methods for Foreign Exchange Option Pricing under
Hybrid Stochastic and Local Volatility Models.
Andrei Sorin Cozma,2018. Calibration of a Hybrid Local-Stochastic Volatility
Stochastic Rates Model with a Control Variate Particle Method.
35
Andersen, L. B., 2007. Efficient Simulation of the Heston Stochastic Volatility Model.
Brigo, D., Mercurio, F., 2007. Interest Rate Models: Theory and Practice, Springer, Berlin
Heidelberg New York.
Carlo Zarattini, 2014. An Arbitrage Application of the Longstaff and Schwartz Model.
Cox, J., Ingersoll, J. and Ross, A., 1985. A Theory of the Term Structure of Interest Rates,
Econometrica, vol.53, p.385-407.
C. van Emmerich, November 2007. A Square Root Process for Modelling Correlation, Dissertation,
University of Wuppertal.
Freddy Delbaen, 2002. An Interest Rate Model with Upper and Lower Bounds.
Gouriéroux, C., Valéry, P., 2004. Estimation of a Jacobi Process.
Hao, J. C., 2011. The Pricing for Interest Sensitive Products of Life Insurance Firms, Modern
Economy, No.2, p.194-202.
Heston, S. L., 1993. A Closed-Form Solution for Options with Stochastic Volatility with
Applications to Bond and Currency Options, The Review of Financial Studies, vol.6(2), p.327-
343.
I. J. Clark, 2010. Foreign Exchange Option Pricing: A Practitioner`s Guide, J. Wiley & Sons.
Kladıvko, K., 2007. Maximum Likelihood Estimation of the Cox-Ingersoll-Ross Process: The
Matlab Implementation, Technical Computing Prague.
Longstaff, F.A. and E.S. Schwartz, 1993. Interest Rate Volatility and Bond Prices, Financial
Analysts Journal, July-August, p.70-74.
Marliese Uhrig, 1996. Examination of a Two-Factor Bond Option Valuation Model.
zh_TW
dc.identifier.doi (DOI) 10.6814/THE.NCCU.RMI.004.2019.F08en_US