Copulas are multivariate probability distributions, as well as functions which link marginal distributions to their joint distribution. These functions have been used extensively in finance and more recently in other disciplines, for example hydrology and genetics. This study has two components, (a) the development of copula-based mathematical tools for use in all industries, and (b) the application of distorted copulas in structured finance. In the first part of this study, copulabased conditional expectation formulae are described and are applied to small data sets from medicine and hydrology. In the second part of this study we develop a method of improving the estimation of default risk in the context of collateralized debt obligations. Credit risk is a particularly important application of copulas, and given the current global financial crisis, there is great motivation to improve the way these functions are applied. We compose distortion functions with copula functions in order to obtain greater flexibility and accuracy in existing pricing algorithms. We also describe an n-dimensional dynamic copula, which takes into account temporal and spatial changes. / Thesis (Ph.D.) - University of Adelaide, School of Mathematical sciences, 2009

Zugl.: Frankfurt (Main), Universiẗat, Diss., 2008. / Literaturverz.

Credit derivatives played a large role in intensifying losses during the subprime lending crisis, which began in 2007 in the US and spiralled into a financial crisis in 2008. One of the major reasons for this descent into financial crisis was the uncertainty about the exposure of some systemically important financial institutions through their derivative positions, specifically credit derivative instruments such as credit default swaps (CDSs). Using data obtained from the SARB, the study found that prior to the crisis, the size of the South African OTC credit derivatives market was increasing steadily. However, the 2008 financial crisis temporarily stunted this growth, and the size of the market declined. Since 2010, the growth of the market has once again been on an upward trajectory. The study examines recent international and local regulations relating to OTC derivatives and makes policy recommendations for South Africa. / Economics / M. Com. (Economics)

A presente tese objetiva estudar o Credit Default Swap (CDS) e o Total Return Swap (TRS), que são os derivativos de crédito cuja negociação é permitida no país. Analisaremos a utilização destes instrumentos financeiros no sistema bancário, seus efeitos deletérios no mercado financeiro, o modo como são regulados no direito brasileiro, bem como as recentes alterações legislativas nos Estados Unidos e União Europeia pós crise de 2008. / This thesis aims at studying the Credit Default Swap (CDS) and the Total Return Swap (TRS), which are credit derivatives whose negotiation is permitted in the country. We will analyze the use of these financial instruments in the banking system, its deleterious effects on the financial market, the way they are regulated in Brazilian law, as well as the recent legislative changes in the United States and European Union after the 2008 crisis.

Recently, the financial world witnessed a series of major defaults by several institutions and investment banks. Therefore, it is not at all surprising that credit risk analysis have turned out to be one of the most important aspect among the finance community. As credit derivatives are long term instruments, it is affected by the changes in the market conditions. Thus, it is a appropriate to take into consideration the effects of the market economy. This thesis addresses some of the important issues in credit risk analysis in a regime switching market. The main contribution in this thesis are the followings: (1) We determine the price of default able bonds in a regime switching market for structural models with European type payoff. We use the method of quadratic hedging and minimal martingale measure to determine the defaultble bond prices. We also obtain hedging strategies and the corresponding residual risks in these models. The defaultable bond prices are obtained as solution to a system of PDEs (partial differential equations) with appropriate terminal and boundary conditions. We show the existence and uniqueness of the system of PDEs on an appropriate domain. (2) We carry out a similar analysis in a regime switching market for the reduced form models. We extend some of the existing models in the literature for correlated default timings. We price single-name and multi-name credit derivatives using our regime switching models. The prices are obtained as solution to a system of ODEs(ordinary differential equations) with appropriate terminal conditions. (3) The price of the credit derivatives in our regime switching models are obtained as solutions to a system of ODEs/PDEs subject to appropriate terminal and boundary conditions. We solve these ODEs/PDEs numerically and compare the relative behavior of the credit derivative prices with and without regime switching. We observe higher spread in our regime switching models. This resolves the low spread discrepancy that were prevalent in the classical structural models. We show further applications of our model by capturing important phenomena that arises frequently in the financial market. For instance, we model the business cycle, tight liquidity situations and the effects of firm restructuring. We indicate how our models may be extended to price various other credit derivatives.

The thesis is aimed at explanation of the factors that led to the creation of the current financial crisis in their mutual context. Emphasis is placed on the way of providing mortgages in the USA, policy of FED and credit derivatives. The impacts of the crisis on banking, stock and commodity markets, building industry and automotive industry are discussed as important determinants of international trade. It is shortly mentioned how countries like Germany, China or Czech Republic dealt with the crisis. The final part of the thesis is devoted to the impacts of the crisis on international trade, these impacts result from the issues that are described in the first two parts. Discussed are the commodity and territorial structures of the international trade during the years of crisis. Also the impacts on the foreign trade of the Czech Republic are stressed.

A Constant Proportion Debt Obligation is a credit derivative which has been introduced to generate a surplus return over a riskless market return. The surplus payments should be obtained by synthetically investing in a risky asset (such as a credit index) and using a linear leverage strategy which is capped for bounding the risk. In this thesis, we investigate two approaches for investigation of constant proportion debt obligations. First, we search for an optimal leverage strategy which minimises the mean-square distance between the final payment and the final wealth of constant proportion debt obligation by the use of optimal control methods. We show that the optimal leverage function for constant proportion debt obligations in a mean-square sense coincides with the one used in practice for geometric type diffusion processes. However, the optimal strategy will lead to a shortfall for some cases. The second approach of this thesis is to develop a pricing formula for constant proportion debt obligations. To do so, we consider both the early defaults and the default on the final payoff features of constant proportion debt obligations. We observe that a constant proportion debt obligation can be modelled as a barrier option with rebate. In this respect, given the knowledge on barrier options, the pricing equation is derived for a particular leverage strategy.

Most farmers in South Africa use standard insurance to protect their crops against natural disasters such as hail or strong winds. However, no South African insurance contracts exist to compensate for too much or too little rain (although floods are covered), or which will pay out if temperatures were too high or too low for a certain period of time for the relevant crop. Weather derivatives - which farmers may employ to ensure crops against adverse temperatures - do exist, but these are mostly available in foreign markets in the form of Heating Degree Days contracts and Cooling Degree Day contracts and are used chiefly by energy companies. Some South African over-the-counter weather derivatives are available, but trading in these is rare and seldom used. The goal of this dissertation is to establish a pricing equation for weather derivatives specifically for use in the South African market. This equation will be derived using a similar methodology to that employed for credit default swaps. The premium derived will be designed to compensate grape farmers from losses arising from two different climatic outcomes - in this case temperature and precipitation. These derivatives will be region and crop specific and the formulation will be sufficiently flexible as to allow for further climatic possibilities (which may be added at a later stage). These weather derivative premiums will then be compared to standard crop insurance to establish economic viability of the products and recommendations will be made regarding their usage. The possibility of the simultaneous use of these derivatives and standard crop insurance for optimal crop coverage will also be explored and discussed. / Thesis (M.Com. (Risk management))--North-West University, Potchefstroom Campus, 2011.

Most farmers in South Africa use standard insurance to protect their crops against natural disasters such as hail or strong winds. However, no South African insurance contracts exist to compensate for too much or too little rain (although floods are covered), or which will pay out if temperatures were too high or too low for a certain period of time for the relevant crop. Weather derivatives - which farmers may employ to ensure crops against adverse temperatures - do exist, but these are mostly available in foreign markets in the form of Heating Degree Days contracts and Cooling Degree Day contracts and are used chiefly by energy companies. Some South African over-the-counter weather derivatives are available, but trading in these is rare and seldom used. The goal of this dissertation is to establish a pricing equation for weather derivatives specifically for use in the South African market. This equation will be derived using a similar methodology to that employed for credit default swaps. The premium derived will be designed to compensate grape farmers from losses arising from two different climatic outcomes - in this case temperature and precipitation. These derivatives will be region and crop specific and the formulation will be sufficiently flexible as to allow for further climatic possibilities (which may be added at a later stage). These weather derivative premiums will then be compared to standard crop insurance to establish economic viability of the products and recommendations will be made regarding their usage. The possibility of the simultaneous use of these derivatives and standard crop insurance for optimal crop coverage will also be explored and discussed. / Thesis (M.Com. (Risk management))--North-West University, Potchefstroom Campus, 2011.

The subject of this thesis is an analysis of causes and impacts of credit risk transfer through credit derivatives on the world economy. It deals with the theoretical view of credit derivatives and their definition. A significant part of the work is devoted to a description of the current credit derivatives market and to motives for trading them. In the continuous process of derivative products innovation selected types are described. Those types that were spread during last two decades. In another part are introduced credit derivatives market participants and special attention is given to the banking sector. Important part is the description of an economic situation in countries in crisis. The aim of this work is to give a complete description of all sectors that were influenced by credit derivatives market.