The main aim of this diploma thesis is to analyze benefits of the establishment of the European Rating Agency. The partial aim is to determine the influence of the credit ratings on economics situation in selected European countries and to analyze problems of current credit rating industry. A slight impact of the credit ratings on the observed countries has been found by way of the analysis of evolution of the yields of ten-year government bonds and the prices of CDS contracts on these bonds. Non-perfect competition, weak transparency of the rating process and conflict of interest are considered as the most important problems of the credit rating agencies. By way of the analysis of the ability of the European Rating Agency to remove or at least to partially eliminate discussed problems has been found that the European Rating Agency would not be able to remove all problems of the credit rating industry. The uncertainty about the independence of the European Rating Agency is the biggest weakness of this agency. For this reason, we can't expect that the European Rating Agency would be able to make the credit rating process more efficient and improve the situation in the credit rating industry.

In the last decade, a considerable growth has been added to the volume of the credit risk derivatives market. This growth has been followed by the current financial market turbulence. These two periods have outlined how significant and important are the credit derivatives market and its products. Modelling-wise, this growth has parallelised by more complicated and assembled credit derivatives products such as mth to default Credit Default Swaps (CDS), m out of n (CDS) and collateralised debt obligation (CDO). In this thesis, the Lévy process has been proposed to generalise and overcome the Credit Risk derivatives standard pricing model's limitations, i.e. Gaussian Factor Copula Model. One of the most important drawbacks is that it has a lack of tail dependence or, in other words, it needs more skewed correlation. However, by the Lévy Factor Copula Model, the microscopic approach of exploring this factor copula models has been developed and standardised to incorporate an endless number of distribution alternatives those admits the Lévy process. Since the Lévy process could include a variety of processes structural assumptions from pure jumps to continuous stochastic, then those distributions who admit this process could represent asymmetry and fat tails as they could characterise symmetry and normal tails. As a consequence they could capture both high and low events¿ probabilities. Subsequently, other techniques those could enhance the skewness of its correlation and be incorporated within the Lévy Factor Copula Model has been proposed, i.e. the 'Stochastic Correlated Lévy Factor Copula Model' and 'Lévy Random Factor Loading Copula Model'. Then the Lévy process has been applied through a number of proposed Pricing Basket CDS&CDO by Lévy Factor Copula and its skewed versions and evaluated by V-FFT limiting and mixture cases of the Lévy Skew Alpha-Stable distribution and Generalized Hyperbolic distribution. Numerically, the characteristic functions of the mth to default CDS's and (n/m) th to default CDS's number of defaults, the CDO's cumulative loss, and loss given default are evaluated by semi-explicit techniques, i.e. via the DFT's Fast form (FFT) and the proposed Very Fast form (VFFT). This technique through its fast and very fast forms reduce the computational complexity from O(N2) to, respectively, O(N log2 N ) and O(N ).

In the last decade, a considerable growth has been added to the volume of the credit risk derivatives market. This growth has been followed by the current financial market turbulence. These two periods have outlined how significant and important are the credit derivatives market and its products. Modelling-wise, this growth has parallelised by more complicated and assembled credit derivatives products such as mth to default Credit Default Swaps (CDS), m out of n (CDS) and collateralised debt obligation (CDO). In this thesis, the Lévy process has been proposed to generalise and overcome the Credit Risk derivatives standard pricing model's limitations, i.e. Gaussian Factor Copula Model. One of the most important drawbacks is that it has a lack of tail dependence or, in other words, it needs more skewed correlation. However, by the Lévy Factor Copula Model, the microscopic approach of exploring this factor copula models has been developed and standardised to incorporate an endless number of distribution alternatives those admits the Lévy process. Since the Lévy process could include a variety of processes structural assumptions from pure jumps to continuous stochastic, then those distributions who admit this process could represent asymmetry and fat tails as they could characterise symmetry and normal tails. As a consequence they could capture both high and low events' probabilities. Subsequently, other techniques those could enhance the skewness of its correlation and be incorporated within the Lévy Factor Copula Model has been proposed, i.e. the 'Stochastic Correlated Lévy Factor Copula Model' and 'Lévy Random Factor Loading Copula Model'. Then the Lévy process has been applied through a number of proposed Pricing Basket CDS&CDO by Lévy Factor Copula and its skewed versions and evaluated by V-FFT limiting and mixture cases of the Lévy Skew Alpha-Stable distribution and Generalized Hyperbolic distribution. Numerically, the characteristic functions of the mth to default CDS's and (n/m) th to default CDS's number of defaults, the CDO's cumulative loss, and loss given default are evaluated by semi-explicit techniques, i.e. via the DFT's Fast form (FFT) and the proposed Very Fast form (VFFT). This technique through its fast and very fast forms reduce the computational complexity from O(N2) to, respectively, O(N log2 N ) and O(N ).

Cette thèse s'intéresse aux questions d'accès aux marchés financiers dans les économies émergentes et en développement. La première partie donne un aperçu général des conséquences macroéconomiques de l'un des régimes de politique monétaire le plus favorable au marché - le ciblage d'inflation - en utilisant le cadre d'analyse de la méta-analyse. La deuxième partie analyse le risque et la stabilité des marchés obligataires des États. La troisième et dernière partie examine les effets disciplinaires résultant de la participation aux marchés obligataires souverains. Plusieurs résultats émergent. Au chapitre 1, les résultats indiquent que la littérature sur les effets macroéconomiques du ciblage d'inflation est sujette à des biais de publication. Après avoir purgé ces biais, le véritable effet du ciblage d'inflation reste statistiquement et économiquement significatif à la fois sur le niveau de l'inflation et la volatilité de la croissance économique, mais ne l’est pas sur la volatilité de l'inflation ou le taux de croissance économique réel. Aussi, les caractéristiques des études déterminent l’hétérogénéité des résultats de l'impact du ciblage d’inflation dans les études primaires. Le chapitre 2 montre que l'adoption d'un régime de ciblage d'inflation réduit le risque souverain dans les pays émergents. Cependant, cet effet varie systématiquement en fonction du cycle économique, de la politique budgétaire suivie, du niveau de développement et de la durée dans le ciblage. Le chapitre 3 montre que les envois de fonds des migrants, contrairement aux flux d'aide au développement, permettent de réduire le risque souverain. Cette réduction est plus marquée dans un pays avec un système financier moins développé, un degré d'ouverture commerciale élevé, un espace budgétaire faible et sans effet dans les pays dépendants des envois de fonds. Le chapitre 4 montre que les pays ayant des contrats d’échange sur risque de crédit sur leurs dettes sont plus sujets à des crises de dette. Il constate également que cet effet reste sensible aux caractéristiques structurelles des pays. Le chapitre 5 montre que la participation aux marchés obligataires de long terme (domestiques et internationaux) encourage les gouvernements des pays en développement à accroître leurs recettes fiscales intérieures. Il révèle également que l'effet favorable dépend du niveau des recettes de seigneuriage, d’endettement, du régime de change, du niveau de développement économique, du degré d’ouverture financière, et du développement financier. Le chapitre 6 montre que la présence de marchés obligataires domestiques, de long terme et liquides réduit considérablement le degré de dollarisation financière dans les pays en développement. Cet effet est plus important dans les pays avec un régime monétaire de ciblage d’inflation ou de change flottant, et à règles budgétaires. Enfin, il constate que la présence de marchés obligataires domestiques réduit la dollarisation financière à travers la baisse du niveau et de la variabilité de l'inflation, de la variabilité du taux de change nominal, et des revenus de seigneuriage. / This thesis focuses on some critical issues of the access to international financial markets in developing and emerging market economies. The first part provides a general overview of the macroeconomic consequences of one of the most market-friendly monetary policy regime—inflation targeting—using a meta-regression analysis framework. The second part analyses government bond market risk and stability. The last part investigates the disciplining effects of government bond market participation—bond vigilantes. In Chapter 1, the results indicate that the literature of the macroeconomic effects of inflation targeting adoption is subject to publication bias. After purging the publication bias, the true effect of inflation targeting appears to be statistically and economically meaningful both on the level of inflation and the volatility of economic growth, but not statistically significant on inflation volatility or real GDP growth. Third, differences in the impact of inflation targeting found in primary studies can be explained by differences in studies characteristics including the sample characteristics, the empirical identification strategies, the choice of the control variables, inflation targeting implementation parameters, as well as the study period and some parameters related to the publication process. Chapter 2 shows that the adoption of inflation targeting regime reduces sovereign debt risk in emerging countries. However, this relative advantage of inflation targeting—compared to money or exchange rate targeting—varies systematically depending on the business cycle, the fiscal policy stance, the level of development, and the duration of countries’ experience with inflation targeting. Chapter 3 shows that remittances inflows significantly reduce bond spreads, whereas development aid does not. It also highlights that the effect of remittances on spreads arises in a regimes of lower developed financial system, higher degree of trade openness, lower fiscal space, and exclusively in non-remittances dependent regimes. Chapter 4 indicates that countries with credit default swaps contracts on their debts have a higher probability of experiencing a debt crisis, compared to countries without credit default swaps contracts. It also finds that the impact of credit default swaps initiation is sensitive to several structural characteristics including the level of economic development, the country creditworthiness at the timing of credit default swaps introduction, the public sector transparency, the central bank independence; and to the duration of countries’ experiences with credit default swaps transactions. Chapter 5 shows that bond markets participation encourages government in developing countries to increase their domestic tax revenue mobilization. Finally, it finds that bond markets participation improves the mobilization of internal taxes, compared to tax on international trade, and reduces their instability. Chapter 6 shows that the presence of domestic bond markets significantly reduces financial dollarization in domestic bond markets countries. This effect is larger for inflation targeting countries compared to non-inflation targeting countries, is apparent exclusively in a non-pegged exchange rate regime, and is larger when there is a fiscal rule that constrains the conduct of fiscal policy. Finally, it finds that the induced drop in inflation rate and its variability, nominal exchange rate variability, and seigniorage revenue are potential transmission mechanisms through which the presence of domestic bond markets reduces financial dollarization in domestic bond markets countries.

Subprime residential mortgage loan securitization and its associated risks have been a major topic of discussion since the onset of the subprime mortgage crisis (SMC) in 2007. In this regard, the thesis addresses the issues of subprime residential mortgage loan (RML) securitization in discrete-, continuous-and discontinuous-time and their connections with the SMC. In this regard, the main issues to be addressed are discussed in Chapters 2, 3 and 4. In Chapter 2, we investigate the risk allocation choices of an investing bank (IB) that has to decide between risky securitized subprime RMLs and riskless Treasuries. This issue is discussed in a discrete-time framework with IB being considered to be regret- and risk-averse before and during the SMC, respectively. We conclude that if IB takes regret into account it will be exposed to higher risk when the difference between the expected returns on securitized subprime RMLs and Treasuries is small. However, there is low risk exposure when this difference is high. Furthermore, we assess how regret can influence IB's view - as a swap protection buyer - of the rate of return on credit default swaps (CDSs), as measured by the premium based on default swap spreads. We find that before the SMC, regret increases IB's willingness to pay lower premiums for CDSs when its securitized RML portfolio is considered to be safe. On the other hand, both risk- and regret-averse IBs pay the same CDS premium when their securitized RML portfolio is considered to be risky. Chapter 3 solves a stochastic optimal credit default insurance problem in continuous-time that has the cash outflow rate for satisfying depositor obligations, the investment in securitized loans and credit default insurance as controls. As far as the latter is concerned, we compute the credit default swap premium and accrued premium by considering the credit rating of the securitized mortgage loans. In Chapter 4, we consider a problem of IB investment in subprime residential mortgage-backed securities (RMBSs) and Treasuries in discontinuous-time. In order to accomplish this, we develop a Levy process-based model of jump diffusion-type for IB's investment in subprime RMBSs and Treasuries. This model incorporates subprime RMBS losses which can be associated with credit risk. Furthermore, we use variance to measure such risk, and assume that the risk is bounded by a certain constraint. We are now able to set-up a mean-variance optimization problem for IB's investment which determines the optimal proportion of funds that needs to be invested in subprime RMBSs and Treasuries subject to credit risk measured by the variance of IE's investment. In the sequel, we also consider a mean swaps-at-risk (SaR) optimization problem for IB's investment which determines the optimal portfolio which consists of subprime RMBSs and Treasuries subject to the protection by CDSs required against the possible losses. In this regard, we define SaR as indicative to IB on how much protection from swap protection seller it must have in order to cover the losses that might occur from credit events. Moreover, SaR is expressed in terms of Value-at-Risk (VaR). Finally, Chapter 5 provides an analysis of discrete-, continuous- and discontinuous-time models for subprime RML securitization discussed in the aforementioned chapters and their connections with the SMC. The work presented in this thesis is based on 7 peer-reviewed international journal articles (see [25], [44], [45], [46], [47], [48] and [55]), 4 peer-reviewed chapters in books (see [42], [50j, [51J and [52]) and 2 peer-reviewed conference proceedings papers (see [11] and [12]). Moreover, the article [49] is currently being prepared for submission to an lSI accredited journal. / Thesis (Ph.D. (Applied Mathematics))--North-West University, Potchefstroom Campus, 2010.

Subprime residential mortgage loan securitization and its associated risks have been a major topic of discussion since the onset of the subprime mortgage crisis (SMC) in 2007. In this regard, the thesis addresses the issues of subprime residential mortgage loan (RML) securitization in discrete-, continuous-and discontinuous-time and their connections with the SMC. In this regard, the main issues to be addressed are discussed in Chapters 2, 3 and 4. In Chapter 2, we investigate the risk allocation choices of an investing bank (IB) that has to decide between risky securitized subprime RMLs and riskless Treasuries. This issue is discussed in a discrete-time framework with IB being considered to be regret- and risk-averse before and during the SMC, respectively. We conclude that if IB takes regret into account it will be exposed to higher risk when the difference between the expected returns on securitized subprime RMLs and Treasuries is small. However, there is low risk exposure when this difference is high. Furthermore, we assess how regret can influence IB's view - as a swap protection buyer - of the rate of return on credit default swaps (CDSs), as measured by the premium based on default swap spreads. We find that before the SMC, regret increases IB's willingness to pay lower premiums for CDSs when its securitized RML portfolio is considered to be safe. On the other hand, both risk- and regret-averse IBs pay the same CDS premium when their securitized RML portfolio is considered to be risky. Chapter 3 solves a stochastic optimal credit default insurance problem in continuous-time that has the cash outflow rate for satisfying depositor obligations, the investment in securitized loans and credit default insurance as controls. As far as the latter is concerned, we compute the credit default swap premium and accrued premium by considering the credit rating of the securitized mortgage loans. In Chapter 4, we consider a problem of IB investment in subprime residential mortgage-backed securities (RMBSs) and Treasuries in discontinuous-time. In order to accomplish this, we develop a Levy process-based model of jump diffusion-type for IB's investment in subprime RMBSs and Treasuries. This model incorporates subprime RMBS losses which can be associated with credit risk. Furthermore, we use variance to measure such risk, and assume that the risk is bounded by a certain constraint. We are now able to set-up a mean-variance optimization problem for IB's investment which determines the optimal proportion of funds that needs to be invested in subprime RMBSs and Treasuries subject to credit risk measured by the variance of IE's investment. In the sequel, we also consider a mean swaps-at-risk (SaR) optimization problem for IB's investment which determines the optimal portfolio which consists of subprime RMBSs and Treasuries subject to the protection by CDSs required against the possible losses. In this regard, we define SaR as indicative to IB on how much protection from swap protection seller it must have in order to cover the losses that might occur from credit events. Moreover, SaR is expressed in terms of Value-at-Risk (VaR). Finally, Chapter 5 provides an analysis of discrete-, continuous- and discontinuous-time models for subprime RML securitization discussed in the aforementioned chapters and their connections with the SMC. The work presented in this thesis is based on 7 peer-reviewed international journal articles (see [25], [44], [45], [46], [47], [48] and [55]), 4 peer-reviewed chapters in books (see [42], [50j, [51J and [52]) and 2 peer-reviewed conference proceedings papers (see [11] and [12]). Moreover, the article [49] is currently being prepared for submission to an lSI accredited journal. / Thesis (Ph.D. (Applied Mathematics))--North-West University, Potchefstroom Campus, 2010.

蒙地卡羅模擬是在組合信用風險的管理上相當實用的計算工具。衡量組合信用風險時，必須以適當的模型描述資產間的相依性。常態關聯結構是目前最廣為使用的模型，但實證研究認為 t 關聯結構更適合用於配適金融市場的資料。在本文中，我們採用 Bassamboo et al. (2008) 提出的極值相依模型建立 t 關聯結構用以捕捉資產之間的相關性。同時，為增進蒙地卡羅法之收斂速度，我們以 Chiang et al. (2007) 的重要性取樣法為基礎，將其拓展到極值相依模型下，並提出兩階段的重要性取樣技巧確保使用此方法估計一籃子信用違約時，所有模擬路徑均會發生信用事件。數值結果顯示，所提出的演算法皆達變異數縮減。而在模型自由度較低或是資產池較大的情況下，兩階段的重要性取樣法將會有更佳的估計效率。我們也以同樣的思路，提出用以估計投資組合損失機率的演算法。雖然所提出的演算法經過重要性取樣的技巧後仍無法使得欲估計的事件在所有模擬路徑下都會發生，但數值結果仍顯示所提出的方法估計效率遠遠優於傳統蒙地卡羅法。 / Monte Carlo simulation is a useful tool on portfolio credit risk management. When measuring portfolio credit risk, one should choose an appropriate model to characterize the dependence among all assets. Normal copula is the most widely used mechanism to capture this dependence structure, however, some emperical studies suggest that $t$-copula provides a better fit to market data than normal copula does. In this article, we use extremal depence model proposed by Bassamboo et al. (2008) to construct $t$-copula. We also extend the importance sampling (IS) procedure proposed by Chiang et al. (2007) to evaluate basket credit default swaps (BDS) with extremal dependence and introduce a two-step IS algorithm which ensures credit events always take place for every simulation path. Numerical results show that the proposed methods achieve variance reduction. If the model has lower degree of freedom, or the portfolio size is larger, the two-step IS method is more efficient. Following the same idea, we also propose algorithms to estimate the probability of portfolio losses. Althought the desired events may not occur for some simulations, even if the IS technique is applied, numerical results still show that the proposed method is much better than crude Monte Carlo.

Cette thèse se propose d’analyser la structure et la dynamique de dépendance de crédit des institutions financières aux Etats-Unis et en Europe durant la crise financière de 2008. Un premier chapitre présente une revue de la littérature des modèles multi-dimensionnels de crédit et des modèles économétriques de contagion financière. Ce chapitre a pour vocation de guider notre réflexion à la fois conceptuelle et méthodologique sur les hypothèses analytiques de la contagion ainsi que ses méthodes de mesure. Nous montrons que si la contagion est devenue une hypothèse centrale des modèles multivariés de risque de crédit, il n’en reste néanmoins que sa définition et sa quantification ne font pas l’objet de consensus dans la littérature. Un deuxième chapitre propose une analyse empirique des co-movements des rendements de CDS de banques et sociétés d’assurance américaines et européennes. La dissociation de leur structure de dépendance entre association linéaire et dépendances extrêmes nous permet de mettre en évidence des phénomènes d'interconnexions entre institutions financières apparues au courant de la crise et véhiculant ainsi sous l'effet de la contagion, un risque systémique croissant. Un dernier chapitre présente une interprétation économique des résultats obtenus dans notre deuxième chapitre. En particulier, nous cherchons à quantifier l'influence jouée par la contagion et les facteurs de risques communs sur la dynamique de dépendance extrême des institutions financières. Nous démontrons ainsi le rôle du risque de contrepartie, du risque de liquidité et du risque de défaut des institutions financières dans la transmission de la contagion sur le marché de CDS. / This thesis examines the credit dependence structure and dynamics of financial institutions in the U.S. and Europe amid the recent financial crisis. A first chapter presents a survey of multi-name models of credit risk and econometric models of financial contagion with the purpose of guiding both the analytical and conceptual assumptions and econometric modelling techniques we use in the subsequent chapters. We show that if contagion has become a central cornerstone of multi-name models of credit risk, there is nonetheless a lack of consensus on the way to both define and measure it. A second chapter presents the results of an empirical analysis of U.S. and European banks and insurance companies’ CDS return extreme co-movements. By uncovering financial institutions' linear as well as extremal dependence structures, we provide evidence that their credit dependence has strengthened during the crisis, thereby effectively conveying, in the face of extreme tail events, potential systemic risks. A third and last chapter provides an economic rationale of the results presented in our second chapter. In particular, we examine the impact of common risk factors and contagion on the dynamics of financial institutions' extremal credit dependence. We demonstrate the role of counterparty risk and liquidity risk, as well the repricing by market participants since July 2007 of their jump-to-default premia as additional channels driving financial institutions' increased dependence and amplifying contagion on the CDS market.

The dissertation is composed of three empirical research papers analyzing the development on credit derivatives markets in recent years characterized by the global financial crisis in 2007- 2009 and subsequent European sovereign debt crisis. The basic motivation of the thesis is to contribute to the clarification of the turbulent development on credit derivatives markets. The first paper addresses main flaws of a collateralized debt obligation (CDO) market during the global financial crisis. The second paper examines the impact of the Greek debt crisis on sovereign credit default swap (CDS) reliability. The third paper analyzes whether a resulting change in CDS terms restored confidence in CDS contracts. An introductory chapter presents a common framework for the three papers. In the first paper, we examine valuation of a Collateralized Debt Obligation (CDO) in 2007- 2009. One Factor Gaussian Copula Model is presented and five hypotheses regarding CDO sensitivity to entry parameters are analyzed. Four main deficiencies of the CDO market are then articulated: i) an insufficient analysis of underlying assets by both investors and rating agencies; ii) investment decisions arising from the valuation model based on expected cash-flows and neglecting other factors such as mark-to-market losses; iii)...

Depuis la succession des récentes crises financières, les « dérivés de crédit » connaissent une notoriété médiatique très intense qui dépasse la seule sphère des spécialistes. Créés au début des années 1990, ils sont des instruments financiers de transfert du risque de crédit. Ils autorisent tant la protection que la spéculation. Ils sont juridiquement documentés par des conventions-Cadres proposées par l’International Swaps and Derivatives Association (ISDA), et dans une très petite mesure, par la Fédération Bancaire Française en France. Ils regroupent cinq grandes catégories de contrat : « credit default swap » ou « contrat d’échange sur le risque de crédit », « credit linked notes » ou « dérivé de crédit titrisé », « credit spread option » ou « option sur écart de taux », « credit spread forward » ou « dérivé sur écart de taux » et « total rate of return swap » ou « dérivé de transfert total de rendement ». La nature et la diversité des « dérivés de crédit » posent depuis toujours de sérieuses difficultés de qualification dans de nombreux pays. En droit français, si une qualification commune semble émerger, celle d’instrument financier, elle est hélas insuffisante à apporter un régime juridique complet. Un travail complémentaire de qualification est indispensable pour chaque contrat membre des « dérivés de crédit ». / Nowadays, since financial crisis, « credit derivatives » are famous. Born in 1990’s, they transfer the credit risk. They are speculation’s instrument or margin’s instrument. International Swaps and Derivatives Association (ISDA), and the Fédération Bancaire Française (in France), point to pattern juridical agreement. Credit derivatives include five big sort of agreement : « credit default swap » (« contrat d’échange sur le risque de crédit »), « credit linked notes » (« dérivé de crédit titrisé »), « credit spread option » (« option sur écart de taux »), « credit spread forward » (« dérivé sur écart de taux ») and « total rate of return swap » (« dérivé de transfert total de rendement »). Their variety and essence ask difficult question of juridical appreciation in many countries. In French law, credit derivatives are « instrument financier ». But this juridical appreciation is incomplete. Every sort of agreement must being individually studies.