過去實證研究發現，資產的動態過程存在不連續的跳躍與大波動伴隨大波動的波動度叢聚現象而造成資產報酬分配呈現出厚尾與高狹峰的情況，然而，此現象並不能完全被傳統所使用幾何布朗運動模型與跳躍擴散模型給解釋。因此，本文設定資產模型服從Lévy 過程中Generalized Hyperbolic (GH)的normal inverse Gaussian(NIG) 和 variance gamma (VG)兩個模型，然而，Lévy 過程是一個跳躍過程，是屬於一個不完備的市場，這將使得平賭測度並非唯一，因此，本文將採用Gerber 和 Shiu (1994)所提的Esscher 轉換來求得平賭測度。關於美式選擇權將採用LongStaff and Schwartz (2001)所提的最小平方蒙地卡羅模擬法來評價美式選擇權。實證結果發現VG有較好的評價績效，此外，進一步探討流動性與價內外的情況對於評價誤差的影響，亦發現部分流動性高的樣本就較小的評價誤差；此外，價外的選擇權其評價誤差最大。另一方面從交易的觀點來看，次貸風暴後交易對手信用風險愈來愈受到重視，此外，近年來由於巨災事件的頻傳，使得傳統保險公司風險移轉的方式，漸漸透過資本市場發行衍生性商品來進行籌資，以彌補其在巨災發生時所承擔的損失。因此，透過發行衍生性商品來進行籌資，必須考量交易對手的信用風險，否則交易對手違約，就無法獲得額外的資金挹注，因此，本文評價巨災權益賣權，並考量交易對手信用風險對於其價格的影響。 / In the traditional models such as geometric Brownian motion model or the Merton jump diffusion model can’t fully depict the distributions of return for financial securities and the those return always have heavy tail and leptokurtic phenomena due to the price jump or volatilities of return changing over time. Hence, the first article uses two time-changed Lévy models: (1) normal inverse Gaussian model and (2) variance gamma model to capture the dynamics of asset for pricing American option. In order to deal with the early-exercised problem of the American option, we use the LSM to determine the optimal striking point until maturity. In the empirical analyses, we can find the VG model have better performance than the other three models in some cases. In addition, with the comparison the pricing performance under different liquidity and moneyness conditions, we also find in some samples increasing the liquidity really can reduce the pricing errors, at the same time, the maximum pricing errors appears in the OTM samples in all cases. The global subprime crisis during 2008 and 2009 arouses much more attention of the counterparty risk and the number of default varies with economic condition. Hence, we investigate the counterparty risk impact on the price of the catastrophe equity put with a Markov-modulated default intensity model in the second study. At the same time, we also extend the stochastic interest rate setting in Jaimungal and Wang (2006) and relax some restrictive assumption of Black-Scholes model by taking the regime-switching effects of the economic status, then use the Markov-modulated processes to model the dynamics of the underlying asset and interest rate. In the numerical analyses, we illustrate the impact of the recovery rate, time to maturity, jump intensity of the equity and default intensity of counterparty on the CatEPut price.

In this work we are introducing a risk neutral valuation formula for counterparty default risk adjustments in an unilateral and in a bilateral case. In the unilateral case the adjustment is represented by a Credit Valuation Adjust- ment(CVA) and in the bilateral case the adjustment is quantified by a Bilateral Risk Adjustment(BVA). We are incorporating these adjustments into the values of zero coupon bonds, coupon bearing bonds and interest rate swaps. For such an incorporation, risk neutral default probabilities extracted from the market quotes of Credit Default Swaps are needed. A Bootstrap method is used to derive them and a reduced form approach is used to model the default times. In the practical part, we are calculating Greek and Czech risk neutral default probabilities during the years 2008-2010. We are calculating CVA for 18 quoted Greek government bonds and we are comparing the adjusted prices with the market quoted prices of these bonds. We study the impact of a risk free interest rate curve choice on such a valuation. In the last sections, we construct an interest rate swap between the Czech and the Greece. We compute and study CVA and BVA for this interest rate swap.

Au lendemain de la crise financière de 2008, les autorités se sont emparées de la question du risque de contrepartie associé aux produits dérivés de gré à gré. Les dix années qui se sont écoulées depuis permettent de dresser le bilan de l’efficacité du cadre règlementaire alors mis en place. Cette étude s’attache à cartographier les différents éléments qui composent ou alimentent le risque de contrepartie en matière de dérivés de gré à gré et analyse l’efficacité des diverses techniques déployées pour le gérer. Les outils de gestion utilisés en matière de dérivés de gré à gré afin d’atténuer le risque de contrepartie reposent sur une pluralité de mécanismes juridiques (légaux ou contractuels). Si certains sont à la libre disposition des parties, d’autres leur sont imposés par la règlementation. Tous ces instruments participent – seuls ou conjointement – à atténuer réellement le risque de contrepartie. Mais chacun d’eux ne traite néanmoins qu’un aspect particulier de ce risque et aucun ne permet de l’annihiler totalement. Certaines situations viennent même parfois perturber l’efficacité des outils de gestion du risque de contrepartie et anéantissent leurs effets bénéfiques. On comprend in fine que la gestion efficace du risque de contrepartie suppose le respect de trois étapes : l’identification des risques attachés à chaque opération en présence doit précéder l’élaboration des outils de gestion en vue de leur atténuation, laquelle suppose enfin la prévention du risque d’inefficacité des outils utilisés. Dans tous les cas, la gestion du risque de contrepartie en matière de dérivés de gré à gré s’avère non seulement imparfaite mais aussi éminemment fragile. / Ln the aftermath of the 2008 financial crisis, the authorities tackled the issue of counterparty risk associated with OTC derivatives. The ten years that have passed since then allow us an opportunity to take stock of the effectiveness of the regulatory framework then put in place. This study aims to map the different elements that make up or feed the counterparty risk in OTC derivatives and analyzes the effectiveness of the various techniques deployed to manage it. The management tools used in OTC derivatives to mitigate counterparty risk rely on a variety of legal mechanisms. If some are at the free disposal of the parties, others are imposed by the regulations. All these instruments participate -alone or jointly-in actually mitigating the counterparty risk. But each of them only deals with a particular aspect of this risk and none of them can completely neutralise it. Some situations even sometimes disrupt the effectiveness of counterparty risk management tools and negate their beneficial effects. Ultimately, it is understood that the effective management of counterparty risk requires three stages: the identification of the risks attached to each operation, followed by the development of relevant management tools with a view to the mitigation of such risks, and finally steps to avoid the risk of inefficiency of the tools used. ln any case, counterparty risk management in OTC derivatives is not only imperfect but also eminently fragile.

Made available in DSpace on 2016-03-15T19:26:13Z (GMT). No. of bitstreams: 1 Rodrigo Vogliotti.pdf: 868389 bytes, checksum: e1b90368c40778893d720b9e7a0fe869 (MD5) Previous issue date: 2012-08-17 / The difficulty in developing a statistical model that includes random variables and the need for intensive data processing capacity are the main challenges for the measurement of counterparty credit risk. The need to know the exposure value at the time of default (EAD) on a derivative instrument is a decisive factor for pricing, portfolio management and capital allocation. Recent events such as the creation of innovative products, coming from the new Basel Accord (Basel II) and the credit crisis of 2007/08 reinforce the importance of knowing what the actual credit risk exposure in a particular transaction. The aim of this study was to develop models for measuring credit risk of the counterparty from the estimation of counterparty exposure to bonds, equities and forward contract through the use of Monte Carlo simulation. The results of the sensitivity analysis indicate that certain parameters such as the interest rate, the mean and standard deviation show strong linear correlation with exposure (EAD) and this issue can be an important driver for the decision-making process. In the model of forward contract was found that correlated random variables can potentiate the exposure value. / A dificuldade em desenvolver um modelo estatístico que contemple variáveis aleatórias e a necessidade de intensa capacidade para processamento de dados são os principais desafios para a mensuração do risco de crédito de contraparte. A necessidade em conhecer o valor da exposição no momento do default (EAD) em um instrumento derivativo é fator decisivo para a precificação, gestão do portfólio e alocação de capital. Recentes acontecimentos como a criação de produtos inovadores, o advindo do novo acordo de Basileia (Basileia II) e a crise de crédito de 2007/08 reforçaram a importância de se saber qual o risco de crédito efetivo que cada contraparte está exposta em uma determinada transação. O objetivo deste estudo foi desenvolver modelos para mensuração do risco de crédito da contraparte a partir da estimação da exposição da contraparte para títulos, ações e contrato a termo de ações através da utilização da simulação de Monte Carlo. Os resultados da análise de sensibilidade indicam que certos parâmetros como a taxa de juro, a média e o desvio padrão apresentam forte correlação linear com a exposição (EAD) calculada e podem ser importantes direcionadores para o processo decisório. No modelo de contrato a termo de ações foi verificado que variáveis aleatórias correlacionadas potencializam o valor da exposição.

Project finance has become a vital financing vehicle for undertaking capital-intensive and infrastructure investments. In 2017 alone, the value of deals signed using project finance was estimated at approximately $229 billion. Despite its increasing importance, little is known regarding the impact of project-level, and country characteristics on the loan terms. This thesis proceeds in examining these determinants along three empirical essays. The first essay (Chapter 3) focuses on how domestic lead arrangers certification (in emerging markets) impact the pricing of project finance loans. Using a sample 1270 project finance loan tranches signed between 1998 and 2011, and worth over $300 billion, the chapter posits that domestic lead arrangers certification reduce search and information cost, which in turn, reduces the financing cost. The results, after controlling for endogeneity of certification decision, indicate a reduction of 47 basis points in the spread offered on PF loans. The magnitude of this reduction differs across industries, geographic region, and income classification of the project countries. The second essay (Chapter 4) examines the relationship between PF contractual structures and loan outcomes, using a sample of 5872 project finance loan tranches signed between 1998 and 2013, and worth approximately $1.2 trillion. The chapter hypothesises that (i) non financial contracts (NFCs) (that is, contracts used to manage the various project functions), reduces overall project risk, (ii) the involvement of project sponsors as key counterparties to the non-financial contracts is an additional signal of project s potential worth, and (iii) the effects observed in (i and ii) are stronger, if sponsor counterparties have verifiable credit ratings. After matching loan tranches with NFCs to those without, the results indicate that the use of NFCs reduce both the loan spreads and leverage ratios. This impact is higher if the sponsor counterparties are credit-rated. The results are also stronger for developing countries. The third essay examines the impact of country-level institutions on project finance loan spread and leverage ratio, using a sample of 3,362 loan tranches signed between the year 1998 - 2012. The chapter investigates whether political and legal institutions are substitutes (or complements), that is, if improvement in one absorbs the weakness of the other, and vice versa. Further, the essay examines if project finance network of contracts substitutes for these institutions. The results indicate that political and legal institutions are substitutes. Specifically, improvements in political institutions lead to a reduction in both the loan spread and leverage ratio for countries with weak legal and governance institutions. The chapter also finds that where NFCs are included in PF, the impact of political institutions on loan spread reduces. On the other hand, the impact of political institutions on leverage ratio is higher when NFCs are used. The findings from the three research chapters provide interesting insights on how lenders and sponsors create value through contract design.

The paper is concerned with counterparty credit risk management for credit default swaps in the presence of default contagion. In particular, we study the impact of default contagion on credit value adjustments such as the BCCVA (Bilateral Collateralized Credit Value Adjustment) of Brigo et al. 2012 and on the performance of various collateralization strategies. We use the incomplete-information model of Frey and Schmidt (2012) as vehicle for our analysis. We find that taking contagion effects into account is important for the effectiveness of the strategy and we derive refined collateralization strategies to account for contagion effects. (authors' abstract) / Series: Research Report Series / Department of Statistics and Mathematics

Diss. Stockholm : Handelshögskolan, 2009

Counterparty Credit Risk and Interest Rate Derivatives Pricing Jakub Černý Abstract: This thesis deals with the pricing of OTC financial derivatives including the coun- terparty credit risk (CCR). It focuses on the interest rate derivatives for which the interest rate must be modeled as random. This is where they differ from the pricing of other derivatives. The credit valuation adjustment (CVA) concept is used to calculate CCR which is in line with current banking regulation Basel III. When we assume the independence of the underlying asset and the credit quality of the counterparty, we obtain an analytical expression of CVA. However, if the independence is violated, the CVA calculation becomes quite complicated. Specifically, the CVA of the inter- est rate swap (IRS) is calculated mainly using the simulation approach which is time and computationally consuming. Therefore, we bring two new methods for IRS CVA calculation where the CVA is expressed in a semi-analytical form. These methods use copula functions, particularly the Gaussian copula and the upper Fréchet bound, and we compare them numerically with a complex simulation study. Furthermore, we pro- pose a method of calibration of the correlation coefficient and we determine the impact of changes in the intensity of default on the final CVA with four...

L'objectif de cette thèse est de fournir à la banque Audi un outil à jour sur les façons de calculer le capital requis par Bâle pour certains risques financiers présents dans le portefeuille de la banque. La régulation internationale est en développement continu : des nouvelles approches sont proposées afin de couvrir au mieux les risques du marché et du secteur bancaire. Les crises financières récentes étaient à la base de ces réformes. De plus, la Banque Audi opère sur des marchés qui présentent des caractères spécifiques qu'il faut prendre en considération lors du calcul du capital requis. Cette thèse se concentre sur le risque de taux d'intérêt dans le livre de négociation de la banque, le risque de contrepartie et précisément l'ajustement d'évaluation de crédit tout en incorporant l'impact de la corrélation entre la qualité du crédit de la contrepartie et l'exposition prévue envers cette même contrepartie. La première partie de cette thèse traite de la nouvelle méthodologie suggérée par Bâle sur le Trading Book : Fundamental Review of the Trading Book. Le risque de taux d'intérêt est particulièrement analysé en utilisant la méthode standard, Sensitivity Based Approach (SBA), et des méthodes plus 'traditionnelles' de valeur à risque tout en utilisant différents modèles tels que Generalized Auto Regressive Conditional Heteroscedasticity (GARCH), l'Analyse en Composantes Principales (ACP), l'Analyse en composantes indépendantes (ACI) et la version dynamique du modèle de taux de Nelson Siegel (DNS). Une application sur des portefeuilles d'obligations zéro coupons de différentes devises permet d'identifier la diversification des résultats entre les marchés stables européens (comme la France), moins stables (exemple Etats-Unis) et les marchés émergents (tel la Turquie). La deuxième partie est consacrée au risque de Contrepartie. Récemment, un nouveau capital est requis par les normes de Bâle afin de couvrir ce genre de risque. En 2014, la méthode est publiée : Standardized Approach for Counterparty Credit Risk (SA-CCR). On applique cette méthode sur différents types de produits dérivés afin de comparer le capital demandé par cette approche à celui obtenu par les modèles internes. Les modèles internes incorporent les estimations historiques ainsi que les projections futures du marché tout en se basant sur des modèles bien connus tels que Vasicek et GARCH. Plusieurs structures de hedging sont mises en place afin de mesurer l'impact de chacune sur les deux montants de capitaux requis (sous la méthode standard ou l'IMM). L'effet sur des produits en EUR et USD reflété que le modèle interne demande 80% du capital standard quand aucune stratégie de hedging n'est mise en place. Par contre, le hedging semble être beaucoup plus favorisé par le modèle standard que le modèle interne. La troisième partie est toujours sur le risque de Contrepartie, mais se focalise sur l'ajustement d'´évaluation de crédit (CVA). Ce sujet ne faisait pas partie des capitaux requis sauf récemment. A cause de son grand impact durant les récentes crises financières. Dès lors, si une opération avec des produits dérivés ne passe pas par une central clearing houses, un capital pour le CVA est requis. Dans ce travail, on détaille les méthodes acceptées par Bâle afin de calculer ces capitaux et on les compare entre elles. La comparaison se fait en se basant sur des portefeuilles de swap de taux d'intérêts avec, comme contreparties, différents pays d'Investment Grade. Cet article incorpore en plus l'impact de la corrélation entre la détérioration de la qualité de la contrepartie et l'augmentation de l'exposition prévue avec cette contrepartie connue sous le nom de WrongWay Risk : des modèles de correction d'erreurs (ECM) sont mis en place afin de déterminer ce lien. Les résultats permettent de montrer l'importance d'utiliser les CDS des contreparties et non de se limiter à leur note (Investment Grade ou pas)... / This thesis aims at providing Bank Audi with an updated tool to understand and investigate in given risk types encountered in their portfolios and the way Basel suggests computing their capital charges. International regulator is constantly changing and modifying previously used approaches to enhance the reflection of the market and banking sector risks. The recent financial crisis played a major role in these reforms, in addition the situation of Bank Audi and the markets it is operating in, represent certain specifications that should be accounted for. The work handles interest rate risk in the trading book, Counterparty Credit Risk faced with derivatives along a closer look on the Credit Valuation Adjustment topic and the incorporation of Wrong Way Risk. The first part discusses the new Fundamental Review of the Trading Book: focusing on the general interest rate risk factor, the paper compared Basel’s Sensitivity Based Approach (SBA) capital charge to more traditional approaches of VaR using several models such as Generalized Auto Regressive Conditional Heteroscedasticity (GARCH), Principal Components Analysis (PCA), Independent Components Analysis (ICA) and Dynamic Nelson Siegel. Application on portfolios with zero coupon bonds of different sovereigns revealed the divergence in results between stable markets (such as France and Germany), less stable (such as the USA) and emergent markets (such as Turkey). The second part is dedicated to the Counterparty Credit Risk. A new capital charge methodology was proposed by Basel and set as a standard rule in 2014: the Standardized Approach for Counterparty Credit Risk (SA-CCR). Applying this approach on different derivatives portfolios, we compared it to internal models. The internal methodologies incorporated historical estimations and future projections based on Vasicek and GARCH models. Different hedging cases were investigated on EUR and USD portfolios. The impact of each hedging technique and the difference between IMM and the standardized methods were highlighted in this work: without hedging, the internal approach amends 80% of the standardized capital whereas, in general, the hedging is encouraged more under the standardized approach relatively to its capital reduction under the internal model. The third part remains a part of the Counterparty Credit Risk however, the main focus in this work is the Credit Valuation Adjustment. This topic was neglected in terms of capital charge earlier but due to its important impact is now incorporated as a capital charge amended when no central clearing is put in place when dealing with derivatives. We focus on the regulatory approaches of capital computation, comparing both accepted approaches based on portfolios of interest rate swaps held with investment grade sovereigns. An incorporation of the Wrong Way Risk is another addition in this work: using Error Correction Models we were able to reflect the impact of the correlation between the exposure and the credit quality of the investment grade sovereign we are dealing with. Based on such results, a suggestion of a re-calibrated standardized approach is in place to encourage the use of the CDS as an indicator of the credit quality of the counterparty and not its grade (investment or not) as followed by the new Basel regulations

Since the default of Lehman Brothers in 2008, it has become increasingly important to measure, manage and price the default risk in financial derivatives. Default risk in financial derivatives is referred to as counterparty credit risk (CCR). The price of CCR is captured in Credit Valuation Adjustment (CVA). This adjustment should in principle always enter the valuation of a derivative traded over-the-counter (OTC). To calculate CVA, one needs to know the probability of default of the counterparty. Since CVA is a price, what one needs is the risk-neutral probability of default. The typical way of obtaining risk-neutral default probabilities is to build credit curves calibrated using Credit Default Swaps (CDS). However, for a majority of a bank's counterparties there are no CDSs liquidly traded. This constitutes a major challenge. How does one model the risk-neutral default probability in the absence of observable CDS spreads? A number of methods for constructing proxy credit curves have been proposed previously. A particularly popular choice is the so-called Nomura (or cross-section) model. In studying this model, we find some weaknesses, which in some instances lead to degenerate proxy credit curves. In this thesis we propose an altered model, where the modelling quantity is changed from the CDS spread to the hazard rate. This ensures that the obtained proxy curves are valid by construction. We find that in practice, the Nomura model in many cases gives degenerate proxy credit curves. We find no such issues for the altered model. In some cases, we see that the differences between the models are minor. The conclusion is that the altered model is a better choice since it is theoretically sound and robust. / Sedan Lehman Brothers konkurs 2008 har det blivit allt viktigare att mäta, hantera och prissätta kreditrisken i finansiella derivat. Kreditrisk i finansiella derivat benämns ofta motpartsrisk (CCR). Priset på motpartsrisk fångas i kreditvärderingsjustering (CVA). Denna justering bör i princip alltid ingå i värderingen av ett derivat som handlas över disk (eng. over-the-counter, OTC). För att beräkna CVA behöver man veta sannolikheten för fallissemang (konkurs) hos motparten. Eftersom CVA är ett pris, behöver man den riskneutrala sannolikheten för fallissemang. Det typiska tillvägagångsättet för att erhålla riskneutrala sannolikheter är att bygga kreditkurvor kalibrerade med hjälp av kreditswappar (CDS:er). För en majoritet av en banks motparter finns emellertid ingen likvid handel i CDS:er. Detta utgör en stor utmaning. Hur ska man modellera riskneutrala fallissemangssannolikheter vid avsaknad av observerbara CDS-spreadar? Ett antal metoder för att konstruera proxykreditkurvor har föreslagits tidigare. Ett särskilt populärt val är den så kallade Nomura- (eller cross-section) modellen. När vi studerar denna modell hittar vi ett par svagheter, som i vissa fall leder till degenererade proxykreditkurvor. I den här uppsatsen föreslår vi en förändrad modell, där den modellerade kvantiteten byts från CDS-spreaden till riskfrekvensen (eng. hazard rate). Därmed säkerställs att de erhållna proxykurvorna är giltiga, per konstruktion. Vi finner att Nomura-modellen i praktiken i många fall ger degenererade proxykreditkurvor. Vi finner inga sådana problem för den förändrade modellen. I andra fall ser vi att skillnaderna mellan modellerna är små. Slutsatsen är att den förändrade modellen är ett bättre val eftersom den är teoretiskt sund och robust.