Arbitrage, Credit And Informational Risks


Book Description

This book contains a collection of research papers in mathematical finance covering recent advances in arbitrage, credit and asymmetric information risks. These subjects have attracted academic and practical attention, in particular after the international financial crisis. The volume is split into three parts which treat each of these topics.




Risk Arbitrage


Book Description

The definitive guide to risk arbitrage, fully updated with new laws, cases, and techniques Risk Arbitrage is the definitive guide to the field and features a comprehensive overview of the theory, techniques, and tools that traders and risk managers need to be effective. This new edition is completely updated and fully revised to reflect the changes to laws and technology and includes new case studies and a detailed discussion of computer-based trading systems. Readers gain deep insight into the factors and policies that affect merger transactions, and the new developments that allow individuals to compete with professionals in managing risk arbitrage portfolios. The book provides techniques for computing spreads and determining risk, with practice exercises that allow readers to become confident with new methods before using them professionally. The current wave of corporate mergers, acquisitions, restructurings, and similar transactions has created unprecedented opportunities for those versed in contemporary risk arbitrage techniques. At the same time, the nature of the current merger wave has lent such transactions a much higher degree of predictability than ever before, making risk arbitrage more attractive to all types of investors. Risk Arbitrage provides the essential guidance needed to participate in the business. Get up to date on the most recent developments in risk arbitrage Examine new mergers and the legal changes that affect them Learn how computers and trading systems have affected competition Use the tools that enable risk determination and spread computation Both the growth in hedge funds and the changing nature of the merger and acquisition business have affected risk arbitrage processes and techniques. For the finance professional who needs expert guidance and the latest information, Risk Arbitrage is a comprehensive guide.




The Credit Risk Information Dynamics Between the Cds and Equity Markets


Book Description

An information link exists between the credit default swap (CDS) and equity markets. The CDS spread is an observable price of a reference firm's credit risk. The same credit risk information is also reflected in its equity price. According to the structural credit risk pricing approach, equity is analogous to a call option written on firm assets, with the face value of the debt as the strike price. Accordingly, the probability of non-exercise equals the probability of default. Any information that affects a firm's creditworthiness affects the value of this call option and hence the stock price.This thesis examines the credit risk information dynamics between the CDS and equity markets. Unlike existing studies, we do not model the interaction between the change of CDS spread and stock return. This is because stock returns also reflect non-credit-related information. Instead, we utilise the CreditGrades model, which belongs to the structural credit risk pricing approach, to extract the implied credit default spread (ICDS) from a firm's equity price. The pairwise CDS spread and ICDS thus represent price of credit risk from the CDS and equity markets, respectively.We propose a new approach to calibrate the CreditGrades model to extract the ICDS. First, we make a less arbitrary assumption regarding unobservable parameters that describe the stochastic recovery process of the firm. Second, we calibrate unobservable parameters on a more frequent basis. Third, we recalibrate model parameters to incorporate newly released accounting figures, since the recovery process is determined by a firm's capital structure fundamental. We document strong evidence that our calibration approach generates more accurate ICDS estimates than those used by previous studies. The more accurate ICDS estimates facilitate a cleaner study of credit risk information flow between the CDS and equity markets.We analyse the nature of information linkage between the CDS and equity markets for a sample of 174 U.S. investment-grade firms. We document strong cointegration between the CDS spread and ICDS, suggesting a long-run credit risk pricing equilibrium between the two markets. Using Gonzalo and Granger (1995) and Hasbrouck (1995) measures, we sort firms into five categories of credit risk price discovery. When forward-shifting the estimation window, we uncover an interesting transmigration pattern. From January 2005 to June 2007, the CDS market influenced price discovery for 92 firms. From January 2006 to June 2008, with the onset of the global financial crisis (GFC), that number increased to 159. As we move away from the height of the GFC, the number of CDS-influenced firms diminishes but remains high compared to the pre-GFC period. Using CDS spreads as trading signals, a conditional portfolio strategy that updates the list of CDS-influenced firms produces a significant alpha against Fama-French factors. It also outperforms buy-and-hold, momentum, and dividend yield strategies.Finally, we propose a new trading algorithm to implement capital structure arbitrage, a convergent-type strategy that exploits mispricing between the CDS and equity markets. Our trading algorithm incorporates both long-run credit risk pricing equilibrium and short-run price discovery process between the two markets. Using our trading algorithm, the arbitrageur avoids the risk of non-convergence and of incurring substantial losses. We confirm that most of the trading profits are generated by conditioning the strategy on firms for which the CDS market dominates the price discovery process. Despite the fact that our trading sample covers the entire GFC, the conditional trading strategy produces a Sharpe ratio that is comparable to that of other fixed income arbitrage strategies.




Risk Arbitrage


Book Description

Originally published in 1982, Risk Arbitrage has become a classic on arbitrage strategies by the "dean of the arbitrage community." It provides an overview of risk arbitrage, how it has been used over the centuries and particularly in modern markets, with a focus on merger arbitrage. From average expected returns to turning a position, cash tender offers, exchange offers, recapitalizations, spinoffs, stub situations, limited risk arbitrage, and corporate freeze-ins, the book provides a step by step walk through of a world of arb strategies illuminated by real world examples and case studies.




Risk Arbitrage, 2nd Edition


Book Description

The definitive guide to risk arbitrage, fully updated with new laws, cases, and techniques Risk Arbitrage is the definitive guide to the field and features a comprehensive overview of the theory, techniques, and tools that traders and risk managers need to be effective. This new edition is completely updated and fully revised to reflect the changes to laws and technology and includes new case studies and a detailed discussion of computer-based trading systems. Readers gain deep insight into the factors and policies that affect merger transactions, and the new developments that allow individuals to compete with professionals in managing risk arbitrage portfolios. The book provides techniques for computing spreads and determining risk, with practice exercises that allow readers to become confident with new methods before using them professionally. The current wave of corporate mergers, acquisitions, restructurings, and similar transactions has created unprecedented opportunities for those versed in contemporary risk arbitrage techniques. At the same time, the nature of the current merger wave has lent such transactions a much higher degree of predictability than ever before, making risk arbitrage more attractive to all types of investors. Risk Arbitrage provides the essential guidance needed to participate in the business. Get up to date on the most recent developments in risk arbitrage Examine new mergers and the legal changes that affect them Learn how computers and trading systems have affected competition Use the tools that enable risk determination and spread computation Both the growth in hedge funds and the changing nature of the merger and acquisition business have affected risk arbitrage processes and techniques. For the finance professional who needs expert guidance and the latest information, Risk Arbitrage is a comprehensive guide.




Counterparty Risk and Funding


Book Description

Solve the DVA/FVA Overlap Issue and Effectively Manage Portfolio Credit Risk Counterparty Risk and Funding: A Tale of Two Puzzles explains how to study risk embedded in financial transactions between the bank and its counterparty. The authors provide an analytical basis for the quantitative methodology of dynamic valuation, mitigation, and hedging of bilateral counterparty risk on over-the-counter (OTC) derivative contracts under funding constraints. They explore credit, debt, funding, liquidity, and rating valuation adjustment (CVA, DVA, FVA, LVA, and RVA) as well as replacement cost (RC), wrong-way risk, multiple funding curves, and collateral. The first part of the book assesses today’s financial landscape, including the current multi-curve reality of financial markets. In mathematical but model-free terms, the second part describes all the basic elements of the pricing and hedging framework. Taking a more practical slant, the third part introduces a reduced-form modeling approach in which the risk of default of the two parties only shows up through their default intensities. The fourth part addresses counterparty risk on credit derivatives through dynamic copula models. In the fifth part, the authors present a credit migrations model that allows you to account for rating-dependent credit support annex (CSA) clauses. They also touch on nonlinear FVA computations in credit portfolio models. The final part covers classical tools from stochastic analysis and gives a brief introduction to the theory of Markov copulas. The credit crisis and ongoing European sovereign debt crisis have shown the importance of the proper assessment and management of counterparty risk. This book focuses on the interaction and possible overlap between DVA and FVA terms. It also explores the particularly challenging issue of counterparty risk in portfolio credit modeling. Primarily for researchers and graduate students in financial mathematics, the book is also suitable for financial quants, managers in banks, CVA desks, and members of supervisory bodies.







Lecture Notes On Calculus Of Variations


Book Description

This is based on the course 'Calculus of Variations' taught at Peking University from 2006 to 2010 for advanced undergraduate to graduate students majoring in mathematics. The book contains 20 lectures covering both the theoretical background material as well as an abundant collection of applications. Lectures 1-8 focus on the classical theory of calculus of variations. Lectures 9-14 introduce direct methods along with their theoretical foundations. Lectures 15-20 showcase a broad collection of applications. The book offers a panoramic view of the very important topic on calculus of variations. This is a valuable resource not only to mathematicians, but also to those students in engineering, economics, and management, etc.




Portfolio Optimization with Different Information Flow


Book Description

Portfolio Optimization with Different Information Flow recalls the stochastic tools and results concerning the stochastic optimization theory and the enlargement filtration theory.The authors apply the theory of the enlargement of filtrations and solve the optimization problem. Two main types of enlargement of filtration are discussed: initial and progressive, using tools from various fields, such as from stochastic calculus and convex analysis, optimal stochastic control and backward stochastic differential equations. This theoretical and numerical analysis is applied in different market settings to provide a good basis for the understanding of portfolio optimization with different information flow. Presents recent progress of stochastic portfolio optimization with exotic filtrations Shows you how to apply the tools of the enlargement of filtrations to resolve the optimization problem Uses tools from various fields from enlargement of filtration theory, stochastic calculus, convex analysis, optimal stochastic control, and backward stochastic differential equations




Technical Information Release


Book Description