University of Macau / Faculty of Social Sciences and Humanities / Department of Government and Public Administration

人口老化是全球趨勢，而此現象引起社會各界對退休保障的關注。此外，跨國勞工移動人數因全球化而急速上升。勞工跨國移動對於跨國界之退休保障帶來新的挑戰。作為社會的一份子，每人都應該享有社會保障的權利，但跨國移動勞工可能會面對與就業國本地勞工在社會保障上存在差別待遇之問題，甚至有機會同時失去家國及就業國的社會保障。勞工個人的流動量越大，對其退休保障所造成的影響就會越大。 會產生此類問題的原因是因為勞工跨國移動，但國家之間的退休保障制度卻沒有連接起來。此問題可以通過簽訂雙邊協議或多邊協議來解決。通過協議，就業國應提供外籍勞工與本地勞工平等待遇。協議亦可用於訂定移動勞工應該適用那一個國家的法規。同時亦可以解決投保年資中斷及分隔兩地、給付出口有設置限制等問題。雖然並非必須的，但協議可幫助協約國間之退休行政服務連結起來，為受益人帶來方便性。 保障移動勞工的權益不只單單是允許其參加退休保障制度，而且應該確保勞工受到與本地勞工同等之對待。通過訂定社會保障協議，勞工即使離國工作亦可以維持獲取退休保障之權利。社會保障可攜性，特別是退休保障，不止對勞工有利，對政府、對經濟發展亦是有益處的。 近年兩岸四地的經濟交流合作及勞工流動增加，四地之間的退休保障問題更值得關注。探討兩岸四地退休保障可攜性，可以幫助解決或至少減低四地間移動勞工之退休保障攜帶性損失。 / Aging population is a global phenomenon and this leads to the concern of social security issues. Besides, the number of international mobile workers is increasing rapidly due to globalization. International labour mobility is creating new challenges for cross national social security. Being a member of the society, everyone should have the right to social security, but international mobile workers may face the problem of having a deduction on pension benefits comparing with native workers, or even, lack of social security protection from both home and host countries. And the larger the mobility, the greater the influences are towards pension benefits. These problems occur because of workers working abroad, but there is no connection between the social security systems between home and host countries. This can be solved by concluding bilateral agreements or multilateral agreements. Through social security agreements, the host countries should provide equality of treatment towards expatriates. Besides, agreements can also be used for the determination of the applicable legislation, as well as solving the problems of separation of insured years and restrictions on the export of benefits etc. Although it is not a must, agreements can also help in providing administrative assistance for beneficiaries. Ensuring the right to social security of mobile workers is not only allowing them to join social security schemes, but also guaranteeing them to have equality of treatment comparing with native workers. Social security agreements can help in maintaining the right to social security for mobile workers. Portability of social security, especially on pension issue, benefits not only mobiles workers, but also government and the economic development. The economic cooperation and labour mobility between Taiwan, China, Hong Kong and Macau is increasing in recent years, and thus brings to the attention on the pension issue for mobile workers between places. Analyze on interregional pension portability can help in solving, or at least reducing the portability loss of mobile workers among these four places.

退休金的會計處理原本即具複雜性，加上最近退休金制度的變革，形成退休金會計獨特且豐富的情境背景，提供了許多的研究機會。本論文包含三個與退休金會計相關之議題；其中第一個議題是「勞工退休金新制之股價效應」；第二個議題是「退休金精算假設選用之誘因」；第三個議題是「退休金精算假設選用之價值攸關性」。三個議題均以效率市場假說為基礎，針對勞工退休金新制之實施與退休金精算假設之選用，分別深入探討其與股價之關聯性。 首先，本論文第一個議題探討勞退新制之股價效應。事件日股票報酬與公司特質的關聯分析，雖然部分的實證結果不顯著，然而部分的證據顯示，勞退新制公布實施時，公司股票報酬與退休金提撥不足程度、員工平均服務年資、退休金提撥率、退休金成率等公司特質具有關聯性，隱含資本市場在某種程度上，似乎可以依據勞退新制對公司不同之衝擊程度，反映於公司股票報酬。 其次，本論文第二個議題探討退休金精算假設選用之誘因。實證的結果顯示，我國上市上櫃公司精算假設選用的橫斷面差異，可能源於債務契約、提撥不足之成本以及損益平穩化等誘因。最後，本論文第三個議題探討退休金精算假設選用之價值攸關性。實證結果顯示，退休金精算假設選用具價值攸關性，投資人對公司選用精算假設保守程度有所評價，對於裁量性 (隱藏的) 預計給付義務亦有所反映，似乎適當地根據精算假設選用對於預計給付義務之影響幅度來調整對公司之評價，隱含資本市場並未功能性固著於報導的退休金義務。 / There are three essays in this dissertation. The first essay examines the impact on equity prices of the Promulgation of Labor Pension Act. Evidence reported in the paper shows that negative abnormal returns are most pronounced for firms with large underfunded level of pension plan, firms with little average years of employment, firms with low contribution ratio, and firms with low pension cost ratio. The second essay explains the cross-sectional variation in firms’ selected actuarial assumptions (rate of increase in compensation and discount rate) used to measure the projected benefit obligation (PBO). Evidence shows that firms with relatively larger debt ratio, larger underfunded level of pension plan, and larger decline in earnings tend to select more aggressive (obligation-reducing) estimation parameters. The last essay studies the association between actuarial assumptions and firm value. The results indicate that firm value is lower, conditional on the reported PBO, for firms that use higher discount rates and lower rate of increase in compensation. This is consistent with investors seeing through managers’ opportunistic choices of obligation reducing assumptions. The evidence suggests that the stock market does not fixate on reported PBO numbers, but properly appreciates the value relevance of the discretionary component of the PBO.

本研究探討長期投資人之最適資產配置問題，並著重於通貨膨脹風險之分析。第一部份討論確定提撥退休金制度下，機構投資人或高所得自然人如何擬定投資策略規避通貨膨脹風險，達到極大化期末財富效用期望值。此研究擴展Battocchio與Menoncin (2004)所建構資產模型，不僅探討市場風險，亦考量通貨膨脹不確定性與基金費用誘因、下方風險保護兩機制，研究對資產配置行為之影響，並依動態規劃方法求得投資策略公式解。第二部份則強調下方風險之重要性，檢視在最低保證收益下，長期投資人跨期資產配置之財富管理議題，並回顧Deelstra et al.(2003)之模型架構，依平賭方法求得投資策略公式解，研究結果顯示基金投資策略可表示為最適CRRA(γ,T)型態共同基金與最低收益避險之組合。另一方面，如何估計通貨膨脹風險亦為本文強調之重點。Campbell和Viceira (2001)首次納入通貨膨脹風險並探討跨期投資議題，結論市場缺乏通貨膨脹連動投資標的時，投資人將減碼長期債持有比例。Brennan和Xia (2002)假設通貨膨脹率服從Ornstein-Uhlenbeck過程，結論投資人之避險需求隨持有債券到期日與投資期限改變。但以上結論未將通貨膨脹學習機制納入模型，因此，在第三部份提出依學習機制修正之投資策略可顯著增加財富效用，並分析在不同參數設定下，學習機制對於期末財富效用之影響。 / In this study, we study three essays of asset allocation problem for long term investors, which means that in this discourse we emphasis the importance of inflation risk. In the first topic, we derive the dynamic optimal investment strategy of the defined contribution pension schemes which include two mechanisms of partial floor protection and incentive fees and their benchmarks. We find investors should hold high proportion of stock index fund to hedge the inflation risk; moreover, the ratio of incentive fees to the setting of benchmark will change the optimal investment trend of underlying assets. In the second topic, we introduce the optimal investment portfolio with minimum guarantees and show that the fund manager should adjust the optimal weights of underlying assets with the ratio of the guarantee fund's value to the value of fund. Finally, this work focuses on how to precisely predict the dynamics of inflation rate. We apply learning method to adjust the prediction of inflation process and we use numerical analysis to study the effect of learning mechanism under different parameter setting.

本文旨在探討當前中國大陸城鎮職工與農民工等具有勞工性質的群體，其退休養老保險制度發展過程的政治經濟分析。所要回答的問題有三：一、中國大陸退休養老保險的歷史進程為何？有何特徵？二、中國大陸農民工與城鎮職工的退休養老保險制度現今運行情況為何？可能的整合方向是？三、中國大陸退休養老保險基金的財務當前運行情況是？有何隱憂？以上三點構成了本文的問題意識。 文中檢視中國大陸自1950年代所出臺的《中華人民共和國勞動保險條例》至今所有關於農民工與城鎮職工養老保險法規的演變，並比較2011年《社會保險法》出臺後，關於農民工與城鎮職工養老保險的實質發展。此外，本文以北京、上海、廣東、河南各省的「退休養老保險金的收支結餘」做為基礎，使用各省的「歷史債務」、「經濟發展水準」、「勞動力流動」等面向分析養老金區域失衡的原因與長期發展的隱憂，以歸納出當前中國大陸城鎮職工與農民工養老保險制度發展的個案省份分析。 本文發現，中國大陸農民工與城鎮職工養老保險的發展有著明顯的「路徑依賴」特徵，自《中華人民共和國勞動保險條例》出臺以降，關於中國大陸的社會保障歷經了單位保障到社會保險，最後則是具備中國特色的「社會統籌與個人帳戶相結合」制度的建立。關於中國大陸退休養老體制的改革過程是中國社會主義傳統下與改革開放後強調經濟發展相互激盪下的結果。 中共以戶籍制度作為區分城鄉勞工的主要手段，在社會福利制度上形成了差異化的現象。本文認為關於農民工的社會保障制度在過去的社會保險體系發展中乏善可陳，與受到政府保障的城鎮職工形成對比的現象。中共當局開始正視農民工的問題是在改革開放後所形成的龐大民工潮問題，隨著時間的推移，政府也必須替「第二代農民工」建設更公平的社會保障制度進而達成「城鎮化」的目標。 中國大陸的社會保障制度發展有著明顯的地域差異，其財政的制度也高度分權，具體反應在社會保障制度的改革上。北京、廣東與上海享受著改革開放以來的經濟成果，在吸引外來勞動人口上有著先天優勢，相對河南的人口外移有著明顯的對比。背後的意涵代表了富裕省份對於後發省份在社會保障資源上的「榨取」，不利於後發省份養老保險的長期發展。本文認為，2011年《社會保險法》出臺後，對於農民工的社會保障確實有所提昇，也使具有「穩定就業」身分的農民工納入到了城鎮職工養老保險體制內，不過仍然需要觀察其後具體的發展態勢。中國大陸之後的退休養老制度發展，本文認為應該要向實現「全國統籌」的目標邁進，也可以藉由中央分配養老金，使地區養老金收支不均的現象可以有效紓緩。 / This thesis aims to explore the characteristics of labor groups in China, which include urban workers and migrant workers. It also discusses the political economical analysis in the course of development for retirement pensions. There are three important questions that have to be addressed: First, what is the historical course on the Chinese retirement pension? What are the features? Second, how is the retirement pension run for urban workers and migrant workers today? What is the direction for integration? Third, what is the financial situation in running the pensions? Are there any concerns? Above three questions constitute the main issues that will be discussed in this thesis. It is evident that there are changes to today’s law and regulations of endowment insurance for urban and migrant workers. This thesis will use Beijing, Shanghai, Guangdong, and Henan province for “Balance of Revenues and Expenditure in Endowment Pension Insurance” as a basis. Also use each province’s “Debt records”, “Standard Economic Growth” “Labor Mobility”, etc. to analyze. In this thesis it also indicates the development of the endowment insurance for migrant workers and urban workers appears to be having a “path dependency” feature. China’s social security has gone from a unit security to a social security. The social welfare system creates a phenomenon of discrepancy in the system. This thesis deems that in the past, migrant workers’ social security reform development is not effective compared to the government security the urban workers received. The government must help “Second generation migrant workers” create a fair social security system and reach “urbanization” as a goal. China’s social security growth has a noticeable regional difference; there is also a high separation of powers in the finance system, which reacts on the reform for social security. Beijing, Guangdong, Shanghai enjoy the economic gain after the reform, and attract many foreign labors, gives them dominant advantage. In contrast, Henan, there is big difference in number for migrate workers. Behind this, there is an implication that prosperous provinces create an “extortion” of resources to those less prosperous, meaning there is no care for their endowment insurance growth. Overall this system still has potential for improvement.

勞動基準法、勞工退休金條例課予雇主於成就一定要件下，有給付勞工退休金、資遣費之責，以保護照顧勞工。然時至今日，為因應全球化趨勢，經營者透過交互協力的經營網絡，使人事調動亦趨於頻繁，產生多法人格經營組織形態下的調職。惟勞工退休金與資遣費係本於勞動契約之請求，故其求償對象為「勞動契約上雇主」，當事人一方(事業單位)改變，工作年資重新計算，將衍生應以誰承擔雇主責任及工作年資併計、平均工資計算等債權範圍問題。甚或雇主透過關係企業交叉控制，濫用公司法人格、掏空資產，導致關廠歇業，勞工之債權求償無門。 勞動基準法各條文所規範之雇主(責任主體)，須斟酌各該法條的立法意旨與目的予以審酌認定，且未包含多重勞動關係之處理。我國公司法第154條第2項規定引進揭穿公司面紗原則，惟勞工如係因關係企業、家族企業調動，導致工作年資中斷或勞動條件不利益變更，損及其權益，尚難逕以該法條要求控制股東負清償之責，以擴張雇主責任。又104年2月4日修正公布勞動基準法第28條規定，提升退休金與資遣費之受償順位，並納入墊償，該條文對勞動債權之保護及施行以來之適用問題，亦為本文關切之重點。 　　本文將從雇主範圍、跨法人格企業調動、經營主體消滅等變動因素下，探討勞工退休金及資遣費之求償對象、求償範圍及債權保護等，並透過檢視現行勞動法制、公司法關係企業債權人保護之規定，介紹美國「揭穿公司面紗原則」、日本「法人格否認理論」、我國實務發展「實體同一性」概念等，試圖描繪擴充退休金與資遣費求償與保護法制之輪廓，並對於擴張勞工退休金與資遣費追償對象之可能，提出相關建議以供參考。

本研究以確定給付型退休基金為對象，建構廣義隨機評價模型，以衡量不確定情況下退休基金之財務風險。希望藉著模型建構的過程，適切地描述基金評價過程中所應考量的各項要素。 為了強調基金評價時同時考量內外部精算假設的重要性，本研究將模型分為存活函數、經濟函數和給付函數三部份討論；存活函數利用離散時間非同質性半馬可夫過程（Discrete Time Non-Homogeneous semi-Markov Process）描述成員狀態轉移的機率，把成員工作年資、年齡和及狀態納入評價過程，有別於傳統僅以年齡為假設基礎之精算方法；經濟函數則以隨機過程表達外部環境的不確定性，結合上述假設資訊預估未來給付後，成為半馬可夫隨機精算評價模型，此一般性的模型能推展至基金評價時所需的各項流程。因此，本研究將模型應用於我國公務人員退撫基金，針對公務人員退撫基金的給付特性發展財務評價公式，完整地描述基金精算成本計算、未來人力與現金流量結構模擬以及敏感度分析等過程。 最後，本研究撰寫公務人員精算評價資訊系統，具體化半馬可夫隨機精算評價模型，實證公務人員退撫基金財務評價公式。實證結果也顯示，不論基金的性質或外部經濟環境，都將影響退休基金財務評價結果，為基金評價時不可忽略的精算假設。 / This study focuses on constructing a generalized valuation model for the defined benefit pension schemes. Financial soundness and funding stability are critical issues in pension fund management. In this study, a realistic stochastic model is built to monitor the uncertainty factors in affecting the financial risk and cash flow dynamics along the decision process. In order to evaluate the importance of the interior and exterior actuarial assumptions in pension valuation. Detailed models in describing the turnover patterns, economic uncertainties and benefit structures are explored. Semi-Markov process proposed by Dominicis, Manca and Granata (1991) and Janssen and Manca (1997) is extended in structuring the transition pattern of the plan’s population and the economic based factors are generated through stochastic processes. Modifications according to classification and movements of the plan member and the plan’s turnover pattern are employed to improve its practical usefulness. Then the actuarial valuations, cash flow analyses and workforce projection are performed and investigated. We has explicitly formulated the plan’s realistic phenomenon and implemented the proposed mechanism into a risk management framework for pension finance. By using this realistic approach, the cost factors could be monitored throughout the valuation. Typically these analyses involve substantial assumptions. This article has outlined the procedure of building the proposed model. Finally, Taiwan Public Employees Retirement System is simplified to illustrate the proposed methodology in pension valuation. The results from this study show that the structure of the pension schemes and the assumed economic factors are the significant factors in pension valuation. It also indicated that the fund manager can evaluate these impacts through the proposed model.

政府為雇主之公務人員退休撫卹計劃，依據現行退撫法規設立公務人員退休撫卹基金管理委員會及監理委員會負責業務執行，屬於雇主〈即政府〉責任之退休基金提撥政策依法由公務人員退休撫卹基金管理委員會釐定，定期依照精算評估報告規劃年度提撥率與基金負債，由於公務人員退休撫卹制度之健全與否攸關國家行政效能，依歐美先進國家之作法，均依據精算原理擬定合適之退休金提撥原則，並將財務資訊透過政府單位之財務報導予以認列與揭露，本研究鑑於公務人員退休撫卹計劃之特殊性與重要性，以美國政府會計準則第27號公報為參考依據，探討政府採用退休金提撥原則之合理性，如何正確揭露於相關之財務報導，適度認列公務人員退休基金之負債，同時清楚呈現基金之提撥歷程，建立完整之精算揭露準則與方法。 第一章 緒論 第一節 研究動機和目的 第二節 研究範圍和限制 第三節 研究架構和內容 第二章 公務人員退休撫卹計劃 第一節 退休撫卹計劃的類型 第二節 公務人員退休撫卹計劃之角色 第三章 退休基金之提撥原則 第一節 前言 第二節 確立提撥所依據的精算負債 第三節 確立基金提撥的方法與目標 第四節 建立財務分析模式 第五節 確定目標成本提撥的穩定度 第六節 檢驗基金提撥是否符合法律與會計規範 第四章 公務人員退休撫卹計劃之財務報導 第一節 不同退撫計劃財務報導之差異 第二節 我國公務人員退撫計劃之種類 第三節 公務人員退撫計劃財務報導之基本概念 第四節 公務人員退撫計劃資訊之揭露 第五章 結論與建議 第一節 結論 第二節 建議 第三節 後續研究之建議 附錄一 名詞解釋 附錄二 各種精算成本法之數學公式及說明 附錄三 公務人員退撫計劃退休金相關精算資訊財務報導之範例說明 附錄四 中華民國精算學會「退休辦法一般公認精算評估準則」 附錄五 財務會計準則公報第十八號精算評估中針對具有共同性精算假設所應採用之基礎 參考書目 / According to enact public employees pension regulations, the Taiwan public employee management board and supervisory board was established to perform the administration for the government employees pension plan. The management board is required by law to set up the funding policy and disclose the plan liabilities to the plan members annually. Since the financial soundness and compensation suitability of the pension scheme is directly related to the government productivity and competency, the funding schedule need to be guided carefully based on the sounded actuarial principle. In this study, statement No.27 of the government standard accounting board (GASB) employed in United States is examined to investigate the substantive funding policy and financial reporting. The financial reporting of the funding schedule for the public and the accrued liabilities disclosed in the balance sheet of the pevsion fund are also scrutinized. Finally explicit requirements for actuarial reporting and general actuarial principle for government employees pension plan are proposed.

退休金是退休人未來生活的依靠，確保在退休後能得到適足的退休給付，政府在退休金上實施保證收益制度，此制度為最低保證利率與投資報酬率連結。本文探討退休金給付標準為確定提撥制，當退休金的投資報酬率是根據其連結之股價指數的表現來計算時，股價指數報酬率的模型假設為馬可夫調控跳躍過程模型，考慮市場狀態與布朗運動項、跳躍項的跳躍頻率相關，即為Elliot et al. (2007) 的模型特例。使用1999年至2012年的道瓊工業指數與S&P 500指數的股價指數對數報酬率作為研究資料，採用EM演算法估計參數及SEM演算法估計參數共變異數矩陣。透過概似比檢定說明馬可夫調控跳躍過程模型比狀態轉換模型、跳躍風險下狀態轉換模型更適合描述股價指數報酬率變動情形，也驗證馬可夫調控跳躍過程模型具有描述報酬率不對稱、高狹峰及波動叢聚的特性。最後，假設最低保證利率為固定下，利用Esscher轉換法計算不同模型下型I保證之確定提撥制退休金的評價公式，從公式中可看出受雇人提領的退休金價值可分為政府補助與個人帳戶擁有之退休金兩部分。以執行敏感度分析探討估計參數對於馬可夫調控跳躍過程模型評價公式的影響，而型II保證之確定提撥制退休金的價值則以蒙地卡羅法模擬並探討其敏感度分析結果。 / Pension plan make people a guarantee life in their retirement. In order to ensure the appropriate amount of pension plan, government guarantees associated with pension plan which ties minimum rate of return guarantees and underlying asset rate of return. In this paper, we discussed the pension plan with defined contribution (DC). When the return of asset is based on the stock indices, the return model was set on the assumption that markov-modulated jump diffusion model (MMJDM) could the Brownian motion term and jump rate be both related to market states. This model is the specific case of Elliot et al. (2007) offering. The sample observations is Dow-Jones industrial average and S&P 500 index from 1999 to 2012 by logarithm return of the stock indices. We estimated the parameters by the Expectation-Maximization (EM) algorithm and calculated the covariance matrix of the estimates by supplemented EM (SEM) algorithm. Through the likelihood ratio test (LRT), the data fitted the MMJDM better than other models. The empirical evidence indicated that the MMJDM could describe the asset return for asymmetric, leptokurtic, volatility clustering particularly. Finally, we derived different model's valuation formula for DC pension plan with type-I guarantee by Esscher transformation under rate of return guarantees is constant. From the formula, the value of the pension plan could divide into two segment: government supplement and employees deposit made pension to their personal bank account. And then, we done sensitivity analysis through the MMJDM valuation formula. We used Monte Carlo simulations to evaluate the valuation of DC pension plan with type-II guarantee and discussed it from sensitivity analysis.

我國勞工退休金新制自2005年7月1日開始實施，由過去的確定給付制改為具有確定提撥特色的「個人帳戶制」。對於勞工而言，確定提撥制和過去確定給付制不同之處在於承擔退休金投資風險的責任將由雇主轉由個人承擔。如何透過退休機制的設計以降低退休金的投資風險是近年來的重要議題，因此本文主要從個人偏好與風險的觀點探討保證投資收益率制度與制度轉換選擇權等兩個降低確定提撥制投資風險的重要配套措施。 在本論文的第一篇研究中發現，資產配置與國際投資對保證成本的影響頗大，在個人可選擇資產配置的情況下，高投資風險的資產選擇將造成政府未來龐大的或有負債。為了解決政府保證成本過高造成代內與代間的財富移轉，本文從使用者付費與個人效用的觀點探討保證投資收益率制度的設計，發現藉由設立保證投資收益上限可提升風險趨避者、損失趨避者與後悔趨避者等偏好下的預期效用，且能降低個人管理下方風險所需的提撥成本與退休計畫參加者所需繳交的保證費用，故建議政府可將投資收益率上限納入保證投資收益率制度，供退休計畫參加者選擇合於本身偏好的保證收益率上限。 在近來許多國家的公、民營退休體系由過去以確定給付制改為確定提撥制，為了降低在確定提撥制下的退休金投資風險，在美國的佛羅里達州之公務人員退休體系中，存在著可供個人選擇是否轉換到確定給付制的機制。在我國勞退新制中除了從過去的確定給付制改為確定提撥制外，亦輔以「年金保險制」供勞工選擇與轉換，若年金保險制具有確定給付制的特徵，則勞工等於是擁有一個從確定提撥轉換轉到確定給付制的選擇權，因此制度選擇權的探討對我國而言亦是相當地重要。在本論文的第二篇研究中發現，當風險趨避程度越高則轉換至確定給付制的機率越高，轉換到確定給付制的高峰期會出現在開始工作的初期與屆臨退休之際等兩段期間。隨著工作期間的延長，個人轉換到確定給付制的機率越低，但仍可有效地提升退休金的所得替代率與達到降低退休金下方風險的效果，在加入退休制度初期不得轉換的限制之後，會降低轉換到確定給付制的機率。 / The Labor Retirement Pension Act enacted in 2005 introduced defined contribution (DC) pension plan for substituting the traditional defined benefit (DB) pension plan. In the defined contribution pension plan, the investment risk is transferred to the participants. However, the design of rate of return guarantee makes the investment risk less severe for participants. In the first essay, we find that the asset allocation and foreign investment have large impact on the guarantee cost: the high risky investment may result in large potential liability of the government in the future if participants have the investment portfolio choice. This study develops a framework to analyze design of rate of return guarantee from the financial engineering and user paid principle view. We find that the cap of investment return guarantee not only increases the expected utility of risk aversion, loss aversion and regret aversion, but also decreases the contribution cost to participant associated with managing the downside risk. Around the world, the defined contribution (DC) plans have been the primary trend of pension reform in the both public and private sector. In an attempt to decrease the investment risk associated with DC plan, the public employees are provided with an option to buy back DB plan in the Florida State of U.S.A. In the second essay, we find that the higher level of risk aversion is, the higher probability to buy back DB plan is. During the employee’s early years of service and as the employees near retirement, the probability to exercise the option is the highest. The probability to exercise the option is decreasing with the years of service being increasing; the option also increase the pension replacement rate as well as decrease the downside risk of pension. The probability to exercise the option is lower, when the option to buy back the DB plan is prohibited during the employee’s early years of service.