京都大学 / 0048 / 新制・課程博士 / 博士(工学) / 甲第18691号 / 工博第3969号 / 新制||工||1611(附属図書館) / 31624 / 京都大学大学院工学研究科社会基盤工学専攻 / (主査)教授 宮川 豊章, 教授 河野 広隆, 准教授 山本 貴士 / 学位規則第4条第1項該当 / Doctor of Philosophy (Engineering) / Kyoto University / DFAM

京都大学 / 新制・課程博士 / 博士(人間健康科学) / 甲第24538号 / 人健博第109号 / 新制||人健||8(附属図書館) / 京都大学大学院医学研究科人間健康科学系専攻 / (主査)教授 中尾 恵, 教授 奥野 恭史, 教授 中本 裕士 / 学位規則第4条第1項該当 / Doctor of Human Health Sciences / Kyoto University / DFAM

本文的研究目的在於探討百慕達利率交換選擇權以及CMS結構型債券的評價與分析。在利率風險管理的工具中，利率交換(IRS)可說是最重要的一項，由於利率交換契約提供了很有效率的資產負債管理方式，自1980年代出現利率交換以來，利率交換的交易量與日遽增。在國內利率市場發展上，本國證券商在86年核准證券自營商、承銷商得因業務需要，可以進行避險性的新台幣利率交換交易。主管機關已在90年10月開放證券商經營利率交換業務。91年6月財政部又開放證券商可進一步承作更多樣化的利率商品，包括利率選擇權、利率交換選擇權、遠期利率協定及上述商品之組合。故本文提出之百慕達式利率交換選擇權個案分析，期能探討利率交換選擇權的評價方式及其避險方式。 對於市場上的個體投資戶而言，要如何利用自身對利率走勢的判斷來獲取利潤? 除了衍生性利率商品的操作外，目前還可以投資利率連結型債券，本文以CBA發行之六年期固定期限交換利率連動債券為例，進行個案的評價與避險分析，期能提供券商在未來設計與發行此類型利率連動債券時的一個參考。

固定期信用違約交換(Constant Maturity Credit Default Swap)是移轉固定年期信用違約交換信用價差(CDS Spread)變動風險的信用衍生性金融商品，目前僅Brigo(2005)以及Krekel and Wenzel(2006)探討固定期信用違約交換的評價，也各自推導出近似封閉解，但對於相關參數之估計以及避險參數並沒有涉及，因此本研究將利用歷史資料估計Krekel and Wenzel(2006)評價公式中的參數，讓評價模型更加完備，並求算避險參數，提供發行商與投資人避險資訊。 本文利用目前信用違約交換(Credit Default Swap)市場中各到期日流動性較高的美國Eastman Kodak Company公司債作為標的物，發行一檔固定期信用違約交換，並利用現有市場資訊估計模型中的參數。在避險實證上，本文利用標的物債券信用價差曲線的變動，對固定期信用違約交換契約價值以及五年期及十年期信用違約交換契約價值的影響，建構了一個避險投資組合，使得避險後總投資組合價值波動減少。 / Constant Maturity Credit Default Swap (CMCDS) is one of the credit derivatives, whose function is to circumvent the fluctuating risk of CDS Spread. Brigo (2005) and Krekel and Wenzel (2006) focused on not only probing into the evaluation of the CMCDS but also deriving the approximated closed-form solution in their recent research separately. However, they seldom concern the hedging approach and the estimated parameters of pricing model, which could be major variable in the measurement. This paper is aiming to calculate the history data of hazard rate to estimate the parameters by using the formula from Krekel and Wenzel (2006) and compute the hedging approach of the pricing model to make it become more complete and provide the hedging information for both financial institutions and investors. By using the corporation bond of Eastman Kodak Company which with higher liquidity and various maturity as the main reference asset to issue a CMCDS and utilizing the current available market data to estimate the parameters of the pricing model to evaluate the value of the product, I find that the various credit spread curve of reference bond will influence the value of CDS and CMCDS and try to structure a hedging portfolio to eliminate the fluctuation of the product.

在這篇論文中，我們討論的是一階非線性衝擊動態方程的週期邊界值問題。利用Schaefer定理及Banach固定點定理，我們得到一些解的存在性結果。 / In this thesis, we are concernd with nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales. By using Schaefer’s theorem and Banach’s fixed point theorem we acquire some new existence results.

本論文的研究主軸圍繞於自我迴歸模型的估計與推論上。文獻上自我迴歸模型的估計多直接採用最小平方法, 但此估計方式卻有兩個缺點:(一)當序列具單根時,最小平方估計式的漸近分配為非正規型態,因此檢定時需透過電腦模擬得到臨界值;(二)最小平方估計式雖具一致性,但卻有嚴重的有限樣本偏誤問題。有鑑於此,我們提出一種「二階差分轉換估計式」,並證明該估計式的偏誤遠低於前述最小平方估計式,且在序列為粧定與具單根的環境下具有相同的漸近常態分配。此外,二階差分轉換估計式相當適合應用於固定效果追蹤資料模型,而據以形成的追蹤資料單根檢定在序列較短的情況下仍有不錯的檢定力。 本論文共分四章,茲分別簡單說明如下: 第1章為緒論,回顧文獻上估計與推論自我回歸模型時的問題,並說明本論文的研究目標。估計自我迴歸模型的傳統方式是直接採取最小平方法,但在序列具單根的情況下由於訊息不隨時間消逝而快速累積,使估計式的收斂速度高於序列為恒定的情況。不過,這也導致最小平方估計式的漸近分配為非標準型態,並使得進行假設檢定前必須先透過電腦模擬來獲得臨界值。其次,最小平方估計式雖具一致性,但在有限樣本下卻是偏誤的。實證上, 樣本點不多是研究者時常面臨的窘境,並使得小樣本偏誤程度格外嚴重。本章中透過對前述問題形成因素的瞭解,說明解決與改善的方法,亦即我們提出的「二階差分轉換估計式」。 第2章主要目的在於推導二階差分轉換估計式之有限樣本偏誤。我們亦推導了多階差分自我迴歸模型下二階段最小平方估計式(two stage least squares, 2SLS)與 Phillips andHan (2008)採用的一階差分轉換估計式之偏誤,以同時進行比較。本章理論與模擬結果皆顯示,一階與二階差分轉換估許式與2SLS之 $T^{−1}$ 階偏誤程度皆低於以最小平方法估計原始準模型(level model)的偏誤,其中 T 為時間序列長度。另外,一階差分轉換估計式與二階差分轉換估計式在 $T^{−1}$ 階偏誤上,分別與一階和二階差分模型下2SLS相同,但兩估計式的相對偏誤程度則因自我相關係數的大小而互有優劣。同時,我們發現估計高於二階的差分模型對小樣本偏誤並無法有更進一步的改善。最後,即使在樣本點不多的情況下,本章所推導的偏誤理論對於實際偏誤仍有良好的近似能力。 第3章主要目的在於發展二階差分轉換估計式之漸近理論。與 Phillips and Han (2008) 採用之一階差分轉換估計式相似的是,該估計式在序列為恒定與具單根的情況下收斂速度相同,並有漸近常態分配的優點。值得注意的是, 二階差分轉換估計式的漸近分配為 N(0,2),不受任何未知參數的影響。另外,當序列呈現正自我相關時,二階差分轉換估計式相較於一階差分轉換估計式具有較小的漸近變異數,進而使得據以形成的檢定統計量有較佳的對立假設偵測能力。最後, 誠如 Phillips and Han (2008) 所述,由於差分過程消除了模型中的截距項,使得此類估計方法在固定效果的動態追蹤資料模型(dynamic panel data model with fixed effect) 具相當的發展與應用價值。 本論文第4 章進一步將二階差分轉換估計式推展至固定效果的動態追蹤資料模型。文獻上估計此種模型通常利用差分來消除固定效果後,再以一般動差法 (generalized method of moments, GMM) 進行估計。然而,這樣的估計方式在序列為近單根或具單根時卻面臨了弱工具變數(weak instrument)的問題,並導致嚴重的估計偏誤。相反的,差分轉換估計式所利用的動差條件在近單根與單根的情況下仍然穩固,因此在小樣本下的估計偏誤相當輕微(甚至無偏誤)。另外,我們證明了不論序列長度(T )或橫斷面規模(n)趨近無窮大,差分轉換估計式皆有漸近常態分配的性質。與單一序列時相同的是,我們提出的二階差分轉換估計式在序列具正自我相關性時的漸近變異數較一階差分轉換估計式小;受惠於此,利用二階差分轉換估計式所建構的檢定具有較佳的檢力。值得注意的是,由於二階差分轉換估計式在單根的情況下仍有漸近常態分配的性質,我們得以直接利用該漸近理論建構追蹤資料單根檢定。電腦模擬結果發現,在小 T 大 n 的情況下,其檢力優於文獻上常用的 IPS 檢定(Im et al., 1997, 2003)。 / This thesis deals with estimation and inference in autoregressive models. Conventionally, the autoregressive models estimated by the least squares (LS) procedure may be subject to two shortcomings. First, the asymptotic distribution of the LS estimates for autoregressive coefficient is discontinuous at unity. Test statistics based on the LS estimates thus follow nonstandard distributions, and the critical values obtained need to rely on Monte Carlo techniques. Secondly, as is well known, the LS estimates of autoregressive models are biased in finite samples. This bias could be substantial and leads to serious size distortion for the test statistics built on the estimates and forecast errors. In this thesis,we consider a simple newmethod ofmoments estimator, termed the “transformed second-difference” (hereafter TSD) estimator, that is without the aforementioned problems, and has many useful applications. Notably, when applied to dynamic panel models, the associated panel unit root tests shares a great power advantage over the existing ones, for the cases with very short time span. The thesis consists of 4 chapters, which are briefly described as follows. 1. Introduction: Overview and Purpose This chapter first reviews the literature and states the purpose of this dissertation. We discuss the sources of problems in estimating autoregressive models with the conventional method. The motivation to estimate the autoregressive series with multiple-difference models, instead of the conventional level model, is provided. We then propose a new estimator, the TSD estimator, which can avoid (fully or partly) the drawbacks of the LS method, and highlight its finite-sample and asymptotic properties. 2. The Bias of 2SLSs and transformed difference estimators in Multiple-Difference AR(1) Models In this chapter, we derive approximate bias for the TSD estimator. For comparisons, the corresponding bias of the two stage least squares estimators (2SLS) in multiple-difference AR(1) models and the transformed first-difference (TFD) estimator proposed by Chowdhurry (1987) are also given as by-products. We find that: (i) All the estimators considered are much less biased than the LS ones with the level regression; (ii)The difference method can be exploited to reduce the bias only up to the order of difference 2; and (iii) The bias of the TFD and TSD estimators share the same order at $O(T^{-1})$ as that of 2SLSs. However, to the extent of bias reductions, neither the 2 considered transformed difference estimators shows a uniform dominance over the entire parameter space. Our simulation evidence lends credible supports to our bias approximation theory. 3. Gaussian Inference in AR(1) Time Series with or without a Unit Root The goal of the chapter is to develop an asymptotic theory of the TSD estimator. Similar to that of the TFD estimator shown by Phillips and Han (2008), the TSDestimator is found to have Gaussian asymptotics for all values of ρ ∈ (−1, 1] with $\sqrt{T}$ rate of convergence, where ρ is the autoregressive coefficient of interest and T is the time span. Specifically, the limit distribution of the TSD estimator is N(0,2) for all possible values of ρ. In addition, the asymptotic variance of the TSD estimator is smaller than that of the TFD estimator for the cases with ρ > 0, and the corresponding t -test thus exhibits superior power to the TFD-based one. 4. Estimation and Inference with Moment Methods for Dynamic Panels with Fixed Effects This chapter demonstrates the usefulness of the TSD estimator when applying to to dynamic panel datamodels. We find again that the TSD estimator displays a standard Gaussian limit, with a convergence rate of $\sqrt{nT}$ for all values of ρ, including unity, irrespective of how n or T approaches infinity. Particularly, the TSD estimator makes use of moment conditions that are strong for all values of ρ, and therefore can completely avoid the weak instrument problem for ρ in the vicinity of unity, and has virtually no finite sample bias. As in the time series case, the asymptotic variance of the TSD estimator is smaller than that of the TFD estimator of Han and Phillips (2009) when ρ > 0 and T > 3, and the corresponding t -ratio test is thus more capable of unveiling the true data generating process. Furthermore, the asymptotic theory can be applied directly to panel unit root test. Our simulation results reveal that the TSD-based unit root test is more powerful than the widely used IPS test (Im et al, 1997, 2003) when n is large and T is small.

過去關於父母參與效果的研究發現：父母參與有助於提升子女的學習成就。由於父母參與被視為一種社會資本或文化資本的延伸，父母參與的愈多，其子女學習效果也愈好。有鑑於此，本研究主要在探討父母參與在家庭社經地位和子女學習成就之間所扮演的角色，並將研究目的細分為三個研究議題。首先，根據智力發展理論與認知能力成長曲線相關研究，第一個議題探討臺灣青少年學生學習成長軌跡的發展與變化情形為何？接著，運用 Bourdieu 的文化資本與 Coleman 的社會資本的概念說明父母參與的重要性，其它兩個議題則探討家庭社經地位對子女學習成長軌跡的影響歷程中，父母參與扮演著中介效果還是交互作用效果？ 原始資料來源取自臺灣教育長期追蹤資料庫（Taiwan Education Panel Survey）公共使用版中的第一波到第四波國中長期追蹤樣本，使用潛在成長曲線模型進行次級資料分析。研究結果發現：1.就整體學習發展型態來看，臺灣青少年學生學習成長軌跡的發展是一種非線性遞增減速的成長曲線，年級愈高，學習成長速率愈慢；2.就個別學習成長軌跡而言，學生間起始狀態與成長速率有個別差異現象，進一步透過潛在成長混合模型的分析，發現學生學習成長軌跡的發展型態並無類別上的差異；3.學生的起始能力會影響學習成長速率的變化而產生馬太效應；4.隨著時間的遞移，高起始能力組的學生，其學習成長速率高於低起始能力組的學生，兩者的學習成就間差距會逐漸擴大而產生扇形擴散效應；5.父母參與對子女學習成就表現有顯著正向的短期立即效果與長期延宕效果，但波段與波段之間的延宕效果則沒有顯著差異；6.在家庭社經地位對子女學習成長軌跡的影響歷程中，父母參與扮演著部份中介而不調節的影響效果。 最後，依據上述研究發現，就研究結果與研究方法兩方面，將提出相關研究建議以供實務參考及後續研究之用。 / The previous research has shown that parental involvement produces measurable gains in student achievement. Since parental involvement is seen as a form of social capital and cultural capital, it is possible that the more a student owns parental involvement, the bigger the effect is. Thus, this study explores what role parental involvement plays between parents’ social-economic status and their children’s academic performance. The major purpose is further categorized into three specific questions. Based on the intelligence developmental theory and growth curve analyses of cognitive ability, the first is to inquire what patterns the development and change of academic growth trajectories of Taiwanese teenager’s academic performance are. Using the concepts of Bourdieu’s cultural capital and Coleman’s social capital to explain the importance of parental involvement, the other two purposes are to explore whether the effects of parental involvement on adolescent academic growth trajectories are mediated or moderated by family socioeconomic status. Using the data from the public released core panel data of the Taiwan Education Panel Survey (TEPS) in 2001, 2003, 2005, and 2007, this study employs the method of the latent growth curve modeling to address research questions. The results are the following: (1) Academic growth trajectory of Taiwan adolescence’s achievement reveals a nonlinear de-accelerating growth curve; (2) There are significant individual differences in both the initial status and growth rate of achievement among students, but further employing different latent growth mixture models shows no individual differences in the patterns of academic growth trajectories; (3) The Matthew Effects occur in the academic growth trajectories of Taiwanese teenagers; (4) Students with lower initial status learn more slowly over time than those with higher initial status do, and the “fan-spread” effect is found; (5) There are positive short-term and longer term effects of parental involvement on the Taiwanese adolescents’ academic achievement performance, but no significant difference among patterns of longer term effects over 6 years; (6) The effects of parental involvement are partially mediated, but not moderated by family SES. Finally, the study discusses the implications of parental involvement and suggests directions for future research.

信用衍生性商品在市場上交易漸趨熱絡，創新速度更是一日千里，市場上琳琅滿目的信用衍生性商品，投資人要如何審慎客觀評估風險後再檢視自身能承擔的風險後投資，諸如此類的議題在近幾年備受關注。尤其在2007金融海嘯之後，所有信用衍生性產品也無一倖免，信用評等公司對信用衍生性產品的評價，也備受挑戰，因此，辨識風險以及驅避風險在後金融海嘯時期，已是一刻不容緩之待解決問題。固定比例債務債券(Constant Proportion Debt Obligations; CPDO)亦是金融海嘯前一年所發明的創新信用衍生性商品，由於其高收益特性以及強調極低投資風險，吸引了許多投資人爭相購買，但金融海嘯時期，也是付之一炬。為了使投資人更了解此商品的風險，本研究運用在跳躍擴散模型假設下，存在封閉解的雙出場障礙式選擇權複製此商品的風險因子，並且為了描述此商品具有動態調整槓桿的時間相依(Time Dependent)性質，加入了蒙地卡羅模擬法，捕捉任意時點上，投資人面臨的風險，將風險因子拆解選擇權後，也更能讓投資人能以投資選擇權的知識運用到此商品來操作。最後，為了使投資人趨避諸如金融海嘯時期的風險，本研究也用選擇權的Delta 避險策略，替商品虛擬一現貨市場，並模擬出其避險之績效。 / The increasing trading volumes and innovative structures of credit derivatives have attracted great academic attention in the quantification and analysis of their complex risk characteristics. The pricing and hedging issues of complex credit structuers after the 2009 financial crisis are especially vital, and they present great challegens to both the academic community and industry practitioners. Constant Proportion Debt Obligations (CPDOs) are one of the new credit-innovations that claim to provide risk-adverse investors with fixed-income cash flows and minimal risk-bearing, yet the cash-outs events of such products during the crisis unfolded risk characteristics that had been unseen to investors. This research focuses on the pricing risk quantification, and dynamic hedging issues of CPDOs under a Levy jump diffusion setting. Based on decomposing the product's risk structure, we derive explicit closed-form solutions in the form of time-dependent double digital knock-out barrier options. This enables us to explore, in terms of the associated hedging greeks, the embeded risk characteristics of CPDOs and propose feasible delta-netral strategies that are feasible to hedge such products. Numerical simulations are subsequently performed to provide benchmark measures for the proposed hedging strategies.

本研究利用兩種時間關聯之操作式制約行為作業探討韁核的行為功能，一為區辨性增強低頻反應作業（簡稱DRL作業），另一為固定時距作業（簡稱FI作業）。本研究以神經毒素鵝膏蕈酸（ibotenic acid）破壞韁核的方式來測試大白鼠受試在上述行為作業之不同歷程的影響效果，包含習得歷程、行為表現階段以及已習得後轉換得酬賞之反應標準等三個階段。實驗一的結果顯示破壞韁核對於DRL作業的習得歷程具有明顯的影響，其影響效果在DRL短時距作業中造成無法以有效率的壓桿反應模式獲得酬賞；反之，破壞操弄的效果並不影響FI長與短時距作業的習得歷程。實驗二的結果顯示破壞韁核並不影響已習得的DRL作業與FI作業的行為表現，兩項作業的實驗組受試皆能維持穩定的行為反應模式且與控制組無明顯差異。實驗三對已習得的DRL行為進行時距參數的轉換（含調高及降低兩部份），結果顯示破壞韁核之操弄並未明顯的影響這項轉換新的時距之作業要求，但實驗組受試的確比控制組較遲緩達到新的時距要求。綜合而言，本研究以專屬性較高的神經毒素破壞韁核，用較多元指標的行為分析方式探討韁核的行為功能；其結果發現韁核參與DRL行為內含的區辨學習與對於錯誤偵測的負向迴饋，這些功能是需要透過韁核與其他中腦及邊緣系統的組織互動。 / This study examined the function of habenula (Hb) by two kinds of operant conditioned behavior tasks based on temporal contingency, including the differential reinforcement of low-rate responding (DRL) task and fixed-interval (FI) task. The effects of Hb lesion induced by neurotoxin ibotenic acid were examined at the different stages of operant conditioned behavior, including acquisition, performance, and transition stages. The results showed that bilateral lesions of Hb did not affect the locomotor activity and the basic lever-pressing. In Experiment 1, Hb lesion group had less reinforced responses and lower peak time indicating the deficits of acquisition of the DRL task. In contrast, the same lesion manipulation on the FI task did not produce any difference between the lesion group and the control group. The data of Experiment 2 showed that Hb lesion did not significantly affect the learned behavior maintained on DRL-10s or FI-30s schedule. In Experiment 3, Hb lesion produced a subtle, but not significant, impairment on behavioral transition from a learned interval to a newly-set interval (upward or downward). The lesioned subjects made a slower transition than the controls. In conclusion, these data suggest that the function of habenula is involved in discrimination learning and error detection for acquiring DRL behavior. However, it is likely that these Hb functions have to rely upon dynamic relationship between Hb and other midbrain limbic systems.

台灣和中國大陸於2010年六月正式簽署「經濟合作架構協議」（ECFA）。無疑地，這是兩岸交流有史以來規模最大、最具官方性質的制度性協商。在象徵意義上，意味著兩岸經濟整合邁入一個嶄新的階段。在實質意義上，透過早期收穫計畫的制度安排，使得兩岸之間的部分貨品和服務享有關稅調降的特殊待遇，對於台灣的整體經濟和部分產業具有立即性的影響。因此，本文旨在探討兩岸簽署ECFA前後，台灣民眾的統獨態度有無發生變化？在影響選民統獨態度因素中，有長期穩定與短期變動，也有感性與理性面向，選民對於兩岸簽訂ECFA的經濟效應評估又扮演了何種角色？最後，隨著兩岸經濟整合的腳步加速，理性層次的麵包效應又是否可能抵銷情感認同的作用？ 本研究使用2008年到2012年「台灣選舉與民主化調查」的定群追蹤資料（panel data），並以「固定與隨機效果並用法」（hybrid method of fixed and random effect model）來分析兩個時間點民眾統獨立場的動態變化。研究結果發現從08年到12年這段時間，民眾的統獨立場呈現往現狀/統一方向移動的趨勢，儘管變化的量不大，但在統計上卻是顯著的。在兩個時間點的動態架構中，選民對於ECFA經濟效益評估的態度變化，不僅與統獨立場的變遷模式與變化方向互相連動，在控制其他變數之後，ECFA經濟評估的態度變化對於統獨立場也有獨立性的影響效果。最後，當短期經濟利益和情感認同相互牴觸時，ECFA經濟的效果甚至會削弱感性認同的作用力。這意味在給定台灣人認同沒有改變的情況下，民眾仍有可能因為簽署ECFA的經濟因素而移動其統獨立場。因此，隨著兩岸經濟整合日益加深，影響個人統獨態度中理性層面利害考量的因素應該予以重視。 / The Taiwanese government has signed the ECFA with China in June 2010. Undoubtedly, ECFA is one of the largest and most official institutional negotiations in the history of cross-strait interactions and exchanges. Signing ECFA with China not only represents that cross-strait economic integration has entered into a new stage, through the arrangements of early harvest program, its impacts on Taiwan’s economy and industry are also immediate. Accordingly, this study aims to explore whether Taiwan people’s attitude toward the independence/unification changed or not after signing ECFA? How the economic inducement from China affect Taiwanese voters’ policy stances on independence/unification issue? Finally, as the accelerated pace of cross-strait economic integration, whether economic factors such as ECFA evaluation may offset the effects of emotional identity on the issue of independence/unification? By using individual panel data from ‘Taiwan Election and Democratization Study’ (TEDS), and taking advantage of hybrid method of fixed and random effect model, the empirical results show that respondents in 2012 are statistically significantly more inclined to maintain status quo or unification in comparison with their attitudes in 2008. Moreover, the attitudinal change of ECFA evaluation are not only systematically associated with the change of policy stance on independence/unification issue, it also reveals independent effect in the statistical model after controlling for other variables. Finally, although emotional affective identity is an important factor to determine public’s policy stances on the issue of Independence/Unification, its effects have begun to weaken especially when the economic interests are large and visible. The implication is that we shouldn’t underestimate the logic importance of political economy played in the trend of regional economic integration, and short-term economic fluctuations may have influence on long-term affective identity.