保險法第146條之4規範國外投資總額最高不得超過各該保險業資金45%，而2014年修正增列保險業依保險法規定投資於國內證券市場上市或上櫃買賣之外幣計價股權或債券憑證之投資金額，可不計入其國外投資限額。且因我國市場長期處於低利環境，壽險業即大量以台幣作為融資貨幣買入國外高利率環境下之標的貨幣進行利差交易，本研究擬以經濟資產模型進行資產與負債之模擬，衡量壽險公司的經濟資本與清償風險。 依據現行壽險公司資金運用決定投資之標的，並以Cox-Ingersoll-Ross (1985)模型模擬國內外短期利率，在無拋補利率平價說下建立匯率模型，以Heston (1993)隨機過程描述資產的變化，並考量壽險公司投資策略決定投資比率，再加入資產之相關性進行模擬；以與壽險公司投資連結之利率變動型年金為商品，加入各項風險因子進行負債價值模擬，諸如死亡率、解約率等因子；資產與負債皆在風險中立測度下以蒙地卡羅法進行模擬10,000次，探討公允價值下壽險公司之清償能力。 而現行清償能力指標為資本適足比率，但此標準下尚無法完整考慮各風險之相關性，本研究除考量資本適足比率中風險資本總額，亦加入經濟資本進行分析，可得以下結果： I.現行RBC風險資本總額介於VaR 99.5%與95%所計算之經濟資本間。 II.當匯率波動度與國外投資比例增加時，經濟資本亦將顯著增加。 III.隨國外債券投資比例增加，風險資本總額增加之幅度亦會加速成長。 IV.利率變動型年金商品宣告利率之擬定將顯著影響公司面臨之違約風險。 / The amendment of Article 146-4 of Insurance Act extended the overseas investment ceiling in 2014 that the International Bond was not included to be counted in overseas investment. Since we have been suffering from the low interest rate for a long time, life insurance industry often uses carry trade to enlarge their earnings. In this paper, the investment targets are chosen on the basis of the current life insurance industry. We simulate the short-term interest rate based on Cox-Ingersoll-Ross (1985) model, establish the exchange rate model by Uncovered Interest Rate Parity, and use Heston (1993) model to simulate stochastic process of assets. Then we consider the life insurance industry’s investment strategy to determine the investment ratio and also import the asset correlation into our models. The interest sensitive annuity policies we used to evaluate the liabilities are linked with life insurance companies’ investment. Some risk factors are also been considered, such as mortality, surrender rate and other factors. Through Monte Carlo simulations by 10,000 times, we analysis the life insurance companies’ solvency under risk neutral measurement by using Risk-Based Capital and Economic Capital. The results show that： I.Risk-Based Capital is between Economic Capital calculated by VaR 99.5% and 95%. II.When the volatility of exchange rate and overseas investment ratio increase, the Economic Capital will also increase significantly. III.With the increase in the proportion of foreign bond investment, the increase in the Risk-Based Capital will accelerate the growth. IV.The declaring interest rate of interest sensitive annuity policy will significantly affect the default risk faced by the life insurance company.

截至2016年的統計資料，我國產險與壽險業的保險公司家數來到54家，保險業資產總額佔了全台灣所有金融機構總資產的31.78%，資產規模來到新台幣22.6兆元，在如此龐大的資產規模下，保險公司的投資組合管理變成相當的重要，重點漸漸的從投資在什麼樣的商品可以讓資金獲取最大效益轉移到了投資後的管理與部位的調整，以避免不必要的非系統性風險，有鑑於此，台灣在2003年實施了RBC制度，讓保險公司的投資組合的分配有所依據，不過仍然免不了過度集中在某些資產的問題，所以本研究的目的在於能否運用風險集中度的概念來判斷投資組合是否過度集中，而不僅僅只有投資金額的比例來做判斷。 本論文的研究方法會根據各家保險公司的實際投資組合以每半年或每年的型式分別計算Marginal Risk Contribution(MRC)的値，並且進行分析後再以Herfindahl-Hirschman Index(HHI)與 Gini Index 來檢視長期資產組合集中度的趨勢，最後的研究結果可以發現若是從邊際風險貢獻的比例來看，各保險公司的風險分布主要是集中在國內上市普通股與ETF、海內外不動產投資、國外已開發國家或新興市場上市普通股與ETF以及A評等的國外固定收益債券，而利用HHI與Gini Index兩個指標來看，各保險公司的資產集中度是逐年上升的。 / According to the statistical data in 2016, there are 54 insurance companies which includes property and casualty insurance company and life insurance company. And the scale of insurance asset is NTD 2,260 billion, accounting for 31.78% of whole asset of financial institution in Taiwan. Under huge amount of asset, the portfolio management for insurance company become more and more important. The key points of this issue are transferring to the ratio of portfolio management from choosing asset class to get maximum profit in order to avoid the nonsystematic risk gradually. Therefore, the Risk-based Capital policy has established in 2003 in Taiwan. The ratio of the insurance companies’ portfolio had the reference to allocate. However, there were some issues about the excessive concentration of some asset classes. So, the target of this study is using the concept of the risk concentration to judge the portfolio too concentrated or not. Not just judge it by its amount invested. The research process of this thesis is to calculate the marginal risk contribution value of the insurance companies’ portfolio every half a year or every year. Moreover, using the Herfindahl-Hirschman Index (HHI) & Gini Index to observe the trend of long term portfolio concentration. From the marginal risk contribution ratio. We can found the result of this study is the risk concentrated on the domestic listed common stock & ETF, domestic or foreign Real Estate, foreign developed market or emerging market listed common stock & ETF and fixed income bond (A rating). Besides, using the Herfindahl – Hirschman index and Gini index. The concentrated ratio of insurance companies’ portfolio were raising recent years.

台灣位處環太平洋地震帶，為全球地震風險潛勢較高的地區之一；因台灣高科技產業蓬勃發展，地震保險需求殷切，再加上開放保險費率自由化的政策及金控效應，趨使保險業間競爭白熱化，惡性價格競爭及保險經紀人的推波助瀾，保險公司的清償能力面臨重大考驗。 台灣在保險監理方面如同日本、美國採行風險基礎資本額（RBC）制度，惟國際間位處高度地震風險潛勢之國家大都另建立一套地震保險監理機制，以確保保險公司的巨災準備金足以支付回歸期地震所造成的損失，其中以美國加州及加拿大政府均採用地震保險PML申報制度作為地震保險監理之依據最值得台灣學習。 地震保險PML評估可採用CRESTA Zone平均損失幅度表計算或採用認許的地震風險評估電腦軟體推估獲得，實施的關鍵為主管機關應建立具有公信力的CRESTA Zone平均損失幅度表。本文特就二種評估方式的利弊做深入的比較分析，並藉由地震風險評估軟體的架構說明影響地震保險PML的因素與權重，作為保險公司落實地震風險管理之依據。 本研究參考Solvency II的三大支柱提出建立地震保險監理機制之結論與建議如下： 1.鼓勵建立保險公司的地震風險管理機制。 2.公佈CRESTA Zone平均損失幅度表，作為保險公司地震保險PML申報依據，以落實產物保險業之地震保險監理機制。 3.依據保險公司申報資料，提供保險主管機關實施差異化管理之依據。 4.主動揭露經營績效、強化保險市場紀律，建立公平合理的經營環境。 期待藉由建立適當的地震保險監理機制，減輕或消弭產物保險市場面臨自由化的惡性價格競爭與保險經營面的不合理現象，進而達到健全保險經營環境、促進保險業長期穩定發展，並確保社會大眾之保險權益的目標。 關鍵詞：地震保險監理機制、地震保險PML、巨災準備金、風險基礎資本額、地震風險評估軟體 / Located at the Pacific Rim earthquake zone, Taiwan has been recognized as one of the severe seismic hazard areas in the world. With the bloom of high tech industry in the past two decades, the demand of earthquake insurance has been considerably increasing. However, along with the liberalization of insurance market, the new business model of financial holdings and the expanding influence from international brokers, insurance companies’ solvency capacity has been significantly challenged. Taiwanese Government, same as Japan and U.S., adopts Risk-Based Capital (RBC) method in insurance supervision, while most countries with high earthquake potential have set up independent earthquake insurance supervision systems to ensure insurers’ earthquake reserves capable to compensate the huge earthquake losses. Among all the measures, the PML reporting system adopted by Canada and the State of California to regulate and trace insurance companies’ financial statuses could be an adequate paradigm for Taiwan. The PML estimation could be obtained either using computer models or following default mean damage ratio table. This research compares the strength and weakness between these two methods, and presents the importance of parameters and key points in earthquake insurance management. Based on the three pillars of Solvency II, the conclusions and recommendations of this paper are: (1)Encourage insurance companies to build up the earthquake risk management mechanism; (2)Establish the official default mean damage ratio table for PML reporting system; (3)Adopt differential supervision practice to different level insurance companies; (4)Promote the self-disclosure of key business information and enhance market discipline. Establishing a sound earthquake insurance supervision system would not only ease the immoderate low-price competition but the whole insurance environment could also be stabilized and improved. It will ultimately achieve the objective to insure society liability and benefit the public as well. Keywords: Earthquake Insurance, Earthquake Model, Catastrophic Risk Management, Insurance Supervision, Risk-Based Capital, CRESTA Zone, PML

保險公司清償能力一直是保險監理的重心，在所有現行的制度中風險基礎資本是最重要的，但此項制度仍有其缺點，因此其他動態分析模型被許多學者所提出，如涉險值及情境分析。雖然這些動態分析模型被學者所偏好，但監理機關仍須對這些模型的精確程度加以了解，這也是本篇論文所要研究的目的。 基於此，本篇論文以模擬方式及經濟模型加以分析風險基礎資本、情境分析及涉險值等方法的破產預測的相對精確性。其中風險基礎資本完全採用現有NAIC的年報資料，情境分析及涉險值則採用我們所建立的模型，基於此也可以確認現有監理制度是否有缺失。 我們的結果發現風險基礎資本的預測能力很低，動態模型-情境分析及涉險值皆優於風險基礎資本，且在不同動態模型中涉險值的預測能力較好。因此可知被學者所偏好的動態分析模型應是未來保險監理的方向希望藉由本篇提供監理機關一個參考的依據。 / Solvency prediction of insurers has been the focus of insurance regulation. Among the solvency regulation systems, risked-based capital (RBC) is the most important but RBC still has some drawbacks. Thus, the dynamic financial analyses-scenario analysis and Value at Risk have been developed to be the regulation tool. Although, the scholars prefer the dynamic financial analysis, the regulators still want to make sure the accuracy of dynamic financial analysis. That is the purpose of our paper. Therefore, we use the simulation result and the econometric model to analyze the relative effectiveness of RBC, scenario and Value at Risk (VaR). The RBC is from the annual statement and the scenario and VaR come from our simulation model. Our result shows that the RBC has very low explanatory power, the dynamic financial analysis is better than RBC, and VaR outperform scenario analysis. Thus, we conclude that VaR is the way to go for property-casualty insurance regulators.

近年隨著油價、物價上漲所導致的通貨膨脹風險，壽險業者以增額型終身壽險來吸引潛在消費者。另外，由於醫療技術的進步，使得死亡率逐年改善，因此將造成保單在設計時可能將遭受到長壽風險的影響。本篇文章的主要目的即探討長壽風險對於保單責任準備金的影響，並以增額型終身壽險作為本文主要分析標的。首先建構死亡率模型(Lee-Carter模型)，用來配適並模擬死亡率，接著探討增額型終身壽險在各保單年度下之現金流量以及責任準備金的提存，進一步再引進不同的死亡率來探討其現金流量分佈情形與責任準備金之提存。本文研究結果發現，在保險公司未採用遞迴方式計算保費時，當繳費期間愈短、複利利率愈高以及投保年齡愈低時，保險公司所面臨之長壽風險愈大，其後在帶入各種不同死亡率模型，發現死亡改善率愈高，保險公司所面臨之長壽風險愈大，而保險公司在提存責任準備金時，並未考慮到死亡改善率的部分，此對保險公司的財務健全將造成隱憂，本文於此部分建議監理機關透過法規(RBC)的制訂，調整準備金提存的係數，以降低長壽風險對保險公司財務之衝擊。 關鍵字：長壽風險、死亡率模型、增額型終身壽險、保單責任準備金、增額準備金、Lee-Carter Model以及RBC制度。 / With the improvement of medical technology, the life expectancy around the world is increasing year by year during the past decade. Therefore, the increasing whole life insurance policy is popular during these years because its benefits are escalating with time and policyholders think they could gain more benefits when they live longer. Like annuity policies, the increasing whole life insurance could also suffer from the longevity risk, which may have enormous impact on the financial statements of insurers. The purpose of this paper is to discuss the impact of longevity risk on reserves, based on increasing whole life insurance policy. First, we construct Lee-Carter model to fit and simulate mortality rate and assume different mortality improvements from the 2002 Taiwan Standard Ordinary Experience Mortality Table (2002TSO) for further comparisons. And then, we construct a simple model to analyze the cash flows of the increasing whole life policies based on the mortality rates we observed. By constructing a simple model and simulation, we find that if the insurance company does not correctly estimate longevity risk, the insurance company will lose money on the increasing whole life policies. In order to mitigate the insufficiency of life insurers for the increasing whole life policies, we try to provide some supervision suggestion from the view of the risk-based capital (RBC) requirements. We calculate the factor of insurance risk (C2) of RBC requirements because this factor represents the surplus needed to provide for excess claims over expected, both from random fluctuations and from inaccurate pricing for future levels of claims. Keywords: longevity risk, increasing whole life insurance policy, Lee-Carter model, risk-based capital (RBC).