壽險保單準備金之有效存續期間分析─利率風險與死亡率風險

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姓名

李冠廷(Kuan Ting) 查詢紙本館藏

畢業系所

財務金融學系

論文名稱

壽險保單準備金之有效存續期間分析─利率風險與死亡率風險
(Effective Duration Analyses on the Reserves for Life Insurance Policies ─ Interest Rate Risk and Mortality Risk)

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摘要(中)

利率的變動、解約率的變化以及死亡率的不確定性皆會對壽險保單責任準備金產生影響，本研究以有效存續期間的方法來衡量壽險保單責任準備金的利率風險及死亡率風險。死亡率的隨機性是採用CBD隨機死亡率模型(Cairns et al.(2006))與Lee-Carter死亡率模型(Carter and Lee (1992))來估計；利率隨機性是採用CIR利率模型(Cox, Ingersoll, and Ross (1985))；利率對解約率的動態是依據反正切利差解約率模型(Babbel et al. (2002)與Kim (2005))。本研究所探討的保單包括死亡險、生存險、生死合險與增額壽險，研究結果發現CBD模型在死亡險、生死合險與增額壽險時會產生死亡率風險造成準備金提高，Lee-Carter模型在生存險時會產生死亡率風險造成準備金提高。死亡險準備金與保單到期期限關係圖呈現初期正相關後期負相關的凹函數關係圖。有效存續期間於準備金越接近零時會產生絕對值越大的異常值。利用準備金的變動發現在死亡險之利率風險大於死亡率風險，生存險與生死合險則相反，而增
額壽險為一半大於一半小於。

摘要(英)

Our research use effective duration to measure the interest rate risk and the mortality risk of life insurance policy reverses, because of the changes in interest rates, surrender rate, and the uncertainly mortality should affect the life insurance policy reverses. We use CBD stochastic mortality (Cairns et al.(2006)) model and Lee-Carter mortality model (Carter and Lee (1992)) estimate the stochastic mortality. We also use CIR interest rate model (Cox, Ingersoll, and Ross (1985)) to simulate the stochastic interest rate； And a general surrender rate model (Babbel et al. (2002)) to measure the movement surrender rate from interest rate. Analyze term life insurance, endowment, pure endowment policies, and increase insurance, and result show that risk of death in the CBD model with the term life insurance, pure endowment and increase insurance will generate an increase the reserves for policies, and Lee-Carter model in endowment will produce mortality risk to generate an increase the reserves for policies. Term life insurance reserves with time to maturity showing a positive correlation in early and negative correlation in late. When the policy reverses closer to zero, we will have the greater absolute value outliers in effective duration. We use find the interest rate risk greater than the mortality risk in the term life insurance, but the endowment and pure endowment policies are contrast, the increase insurance half is greater and half is less by the change of the reverses

關鍵字(中)

★ 有效存續期間分析
★ 死亡率風險
★ 利率風險

關鍵字(英)

★ Interest Rate Risk
★ Effective Duration
★ Mortality Risk

論文目次

目錄
摘要 I
ABSTRACT II
誌謝 III
表格目錄 V
圖表目錄 VI
第一章、前言 1
第二章、死亡率模型、利率期間結構與反正切利差解約率模型 5
一、死亡率模型 5
二、利率模型-CIR利率期間結構 6
三、解約率模型-反正切利差解約率模型 7
第三章、準備金與準備金之有效存續期間 9
一、保費與解約價值 9
二、保單現金流量 11
三、保單準備金 16
四、有效存續期間 16
第四章、參數估計 18
一、CBD隨機死亡率模型 18
二、Lee-Carter死亡率模型參數估計 18
第五章、資料來源與死亡率模型配適結果 20
一、資料來源 20
二、死亡率模型參數估計 20
三、死亡率模型配適結果分析 21
第六章、實證分析 23
一、保單精算假設 23
二、準備金結果分析 23
三、準備金之有效存續期間與保單到期期限 35
四、利率風險與死亡率風險 46
第七章、結論 49
文獻回顧： 51
附錄 53

參考文獻

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指導教授

楊曉文(Sharon Yang)

審核日期

2010-7-10

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