Valuation and risk analysis of collateralised debt obligations

Imperial Users onl

A STRUCTURAL MODEL FOR CREDIT-EQUITY DERIVATIVES AND BESPOKE CDOs

We present a new structural model for single name equity and credit derivatives which we also correlate across reference names to produce a model for bespoke synthetic CDOs. The model captures volatility and outlook risk along with correlation risk for small and for large moves separately. We show that the model calibrates well to both equity structured products and credit derivatives. As examples, we discuss a number of single name derivatives on IBM spanning the credit-equity spectrum and ranging from volatility swaps, to cliquets, CDS options and CDSs on leveraged loans with pre-payment risk. We also use the model to price tranches on the investment grade DJ.CDX.IG index along with tranches on the high yield index DJ.CDX.HY. We show that the model gives consistent and high precision pricing across all these derivative asset classes. We show that this can be achieved consistently, with the very same parameter choices across these diverse derivative assets and making use of only minor explicit time dependencies.Credit derivatives; equity derivatives; long dated derivatives; CDOs; structural model

Elimination of systemic risk in financial networks by means of a systemic risk transaction tax

Financial markets are exposed to systemic risk (SR), the risk that a major fraction of the system ceases to function, and collapses. It has recently become possible to quantify SR in terms of underlying financial networks where nodes represent financial institutions, and links capture the size and maturity of assets (loans), liabilities, and other obligations, such as derivatives. We demonstrate that it is possible to quantify the share of SR that individual liabilities within a financial network contribute to the overall SR. We use empirical data of nationwide interbank liabilities to show that the marginal contribution to overall SR of liabilities for a given size varies by a factor of a thousand. We propose a tax on individual transactions that is proportional to their marginal contribution to overall SR. If a transaction does not increase SR it is tax-free. With an agent-based model (CRISIS macro-financial model) we demonstrate that the proposed "Systemic Risk Tax" (SRT) leads to a self-organised restructuring of financial networks that are practically free of SR. The SRT can be seen as an insurance for the public against costs arising from cascading failure. ABM predictions are shown to be in remarkable agreement with the empirical data and can be used to understand the relation of credit risk and SR.Comment: 18 pages, 7 figure

A Conditioned Gaussian-Poisson Model for Default Phenomena

We introduce a new model to study the behavior of a portfolio of defaultable assets. We refer to this model as the Gaussian-Poisson model. It builds upon one-factor Gaussian copula models and Poisson models (specifically Cox processes). Our model utilizes a random variable Y along with probability measures ℙ• and ℙ†. The measures ℙ• and ℙ† will act as market pricing measures and are obtained via conditioning. The random variable Y will act as a default descriptor. We provide the distribution of Y under both ℙ• and ℙ†. We use a conditional probability to examine expected portfolio and tranche losses, with applications including credit default swaps and collateralized debt obligations. The Gaussian-Poisson model requires a choice of an intensity model. We examine a portfolio loss\u27 dependence upon parameters of the intensity model. Finally, we present three possible models of the intensity process

Optimal enterprise risk management and decision making with shared and dependent risks

Includes bibliographical references (pages 27-29).Published as: Journal of Risk and Insurance, vol. 84, no. 4, December 2017, pp. 1127–1169. https://doi.org/10.1111/jori.12140.Dynamic enterprise risk management (ERM) entails holistic decision-making for critical corporate functions such as capital budgeting and risk management. The interplay across business divisions, however, is complicated due to their natural interactions through the shared and dependent risk exposures within an intricate corporate structure. This paper develops an integrated optimization framework via a copula-based decision tree interface to facilitate ERM decision making to meet the specified enterprise goal in a multi-period setting. We illustrate our model and provide managerial insights with a case study for a financial services company engaged in both banking and insurance businesses

Monitoring systemic risk a survey of the avialiable macropridential toolkit

Understanding the nature of systemic risk and identifying the channels of diffusion of the shocks are the necessary prerequisite to anticipate and manage successfully the insurgence of financial crises. In order to prevent financial distress and manage instability, the macroprudential regulator needs to track and measure systemic risks ex-ante. The aim of the paper is twofold: on one side, it reviews the theoretical frameworks which allow to assess the different dimensions of systemic risk and, on the other, it classifies accordingly and analyzes the methodologies available to assess in advance the occurrence of systemic distress. The paper classifies the different definitions of systemic risk and discusses their significance during the 2007-08 crisis. It presents the tools available to extract real time information on market perception of risk from market prices of securities and derivatives (i.e. CDS and equity options). The analysis is extended to the methods focused on the measurement of the financial fragility due to the networks linkages within the financial system. On the basis of the available empirical research, the paper also reviews the capacity of the different methods to spot in advance the insurgence of the crisis prior to 2007-08 and draws some preliminary conclusions on the completeness and consistency of the toolkit available to policy makers

Untangling hotel industry’s inefficiency: An SFA approach applied to a renowned Portuguese hotel chain

The present paper explores the technical efficiency of four hotels from Teixeira Duarte Group - a renowned Portuguese hotel chain. An efficiency ranking is established from these four hotel units located in Portugal using Stochastic Frontier Analysis. This methodology allows to discriminate between measurement error and systematic inefficiencies in the estimation process enabling to investigate the main inefficiency causes. Several suggestions concerning efficiency improvement are undertaken for each hotel studied.info:eu-repo/semantics/publishedVersio

A STRUCTURAL MODEL FOR CREDIT-EQUITY DERIVATIVES AND BESPOKE CDOs

We present a new structural model for single name equity and credit derivatives which we also correlate across reference names to produce a model for bespoke synthetic CDOs. The model captures volatility and outlook risk along with correlation risk for small and for large moves separately. We show that the model calibrates well to both equity structured products and credit derivatives. As examples, we discuss a number of single name derivatives on IBM spanning the credit-equity spectrum and ranging from volatility swaps, to cliquets, CDS options and CDSs on leveraged loans with pre-payment risk. We also use the model to price tranches on the investment grade DJ.CDX.IG index along with tranches on the high yield index DJ.CDX.HY. We show that the model gives consistent and high precision pricing across all these derivative asset classes. We show that this can be achieved consistently, with the very same parameter choices across these diverse derivative assets and making use of only minor explicit time dependencies

Essays on continuous-time portfolio optimization and credit risk

Die vorliegende Arbeit beschäftigt sich mit der zeitstetigen Portfoliooptimierung sowie mit Themen aus dem Bereich des Kreditrisikos. Das Ziel der Portfoliooptimierung ist es, zu einem gegebenen Anfangskapital die bestmöglichen Konsum- und Investmentstrategien zu finden. In dieser Arbeit wird dabei vor allem der Einfluss von Einkommen auf diese Entscheidungen untersucht. Da einerseits jedoch der zukünftige Einkommensstrom vom Zufall bestimmt ist und es andererseits keine Finanzprodukte gibt, die diesen replizieren können, stellt die Einbindung von Einkommen in die Portfoliooptimierung ein großes Problem dar. Es führt dazu, dass die Annahmen eines vollständigen Marktes nicht weiter gelten, so dass die Standardmethoden zur Lösung nicht angewendet werden können. Diese Arbeit analysiert mehrere Ausprägungen dieses Problems und geht auf verschiedene Verfahren zur Lösung ein. Weiterhin untersucht diese Studie den Einfluss des Kreditrisikos einer Firma auf die jeweilige Firmenrendite. Dabei wird vor allem auf eine Anomalie, die bereits umfassend in der Literatur diskutiert wurde, Bezug genommen. Diese Anomalie besagt, dass Firmen mit hohen Ausfallwahrscheinlichkeiten geringere Renditen erwirtschaften als Firmen mit kleineren Ausfallwahrscheinlichkeiten. Eine weitere Frage, die in den Bereich des Kreditrisikos fällt, ist die Frage, inwieweit Modelle dazu in der Lage sind, strukturierte Produkte zu bewerten und abzusichern. Diese Arbeit versucht Antworten darauf zu geben