Credit Default Swaps and Their Application
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The Valuation of Credit Default Swap with Counterparty Risk and Collateralization Tim Xiao
The Valuation of Credit Default Swap with Counterparty Risk and Collateralization Tim Xiao To cite this version: Tim Xiao. The Valuation of Credit Default Swap with Counterparty Risk and Collateralization. 2019. hal-02174170 HAL Id: hal-02174170 https://hal.archives-ouvertes.fr/hal-02174170 Preprint submitted on 5 Jul 2019 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. The Valuation of Credit Default Swap with Counterparty Risk and Collateralization Tim Xiao1 ABSTRACT This article presents a new model for valuing a credit default swap (CDS) contract that is affected by multiple credit risks of the buyer, seller and reference entity. We show that default dependency has a significant impact on asset pricing. In fact, correlated default risk is one of the most pervasive threats in financial markets. We also show that a fully collateralized CDS is not equivalent to a risk-free one. In other words, full collateralization cannot eliminate counterparty risk completely in the CDS market. Key Words: valuation model; credit risk modeling; collateralization; correlation, CDS. 1 Email: [email protected] Url: https://finpricing.com/ 1 Introduction There are two primary types of models that attempt to describe default processes in the literature: structural models and reduced-form (or intensity) models. -
How Much Do Banks Use Credit Derivatives to Reduce Risk?
How much do banks use credit derivatives to reduce risk? Bernadette A. Minton, René Stulz, and Rohan Williamson* June 2006 This paper examines the use of credit derivatives by US bank holding companies from 1999 to 2003 with assets in excess of one billion dollars. Using the Federal Reserve Bank of Chicago Bank Holding Company Database, we find that in 2003 only 19 large banks out of 345 use credit derivatives. Though few banks use credit derivatives, the assets of these banks represent on average two thirds of the assets of bank holding companies with assets in excess of $1 billion. To the extent that banks have positions in credit derivatives, they tend to be used more for dealer activities than for hedging activities. Nevertheless, a majority of the banks that use credit derivative are net buyers of credit protection. Banks are more likely to be net protection buyers if they engage in asset securitization, originate foreign loans, and have lower capital ratios. The likelihood of a bank being a net protection buyer is positively related to the percentage of commercial and industrial loans in a bank’s loan portfolio and negatively or not related to other types of bank loans. The use of credit derivatives by banks is limited because adverse selection and moral hazard problems make the market for credit derivatives illiquid for the typical credit exposures of banks. *Respectively, Associate Professor, The Ohio State University; Everett D. Reese Chair of Banking and Monetary Economics, The Ohio State University and NBER; and Associate Professor, Georgetown University. We are grateful to Jim O’Brien and Mark Carey for discussions. -
Implied Volatility Modeling
Implied Volatility Modeling Sarves Verma, Gunhan Mehmet Ertosun, Wei Wang, Benjamin Ambruster, Kay Giesecke I Introduction Although Black-Scholes formula is very popular among market practitioners, when applied to call and put options, it often reduces to a means of quoting options in terms of another parameter, the implied volatility. Further, the function σ BS TK ),(: ⎯⎯→ σ BS TK ),( t t ………………………………(1) is called the implied volatility surface. Two significant features of the surface is worth mentioning”: a) the non-flat profile of the surface which is often called the ‘smile’or the ‘skew’ suggests that the Black-Scholes formula is inefficient to price options b) the level of implied volatilities changes with time thus deforming it continuously. Since, the black- scholes model fails to model volatility, modeling implied volatility has become an active area of research. At present, volatility is modeled in primarily four different ways which are : a) The stochastic volatility model which assumes a stochastic nature of volatility [1]. The problem with this approach often lies in finding the market price of volatility risk which can’t be observed in the market. b) The deterministic volatility function (DVF) which assumes that volatility is a function of time alone and is completely deterministic [2,3]. This fails because as mentioned before the implied volatility surface changes with time continuously and is unpredictable at a given point of time. Ergo, the lattice model [2] & the Dupire approach [3] often fail[4] c) a factor based approach which assumes that implied volatility can be constructed by forming basis vectors. Further, one can use implied volatility as a mean reverting Ornstein-Ulhenbeck process for estimating implied volatility[5]. -
Tax Treatment of Derivatives
United States Viva Hammer* Tax Treatment of Derivatives 1. Introduction instruments, as well as principles of general applicability. Often, the nature of the derivative instrument will dictate The US federal income taxation of derivative instruments whether it is taxed as a capital asset or an ordinary asset is determined under numerous tax rules set forth in the US (see discussion of section 1256 contracts, below). In other tax code, the regulations thereunder (and supplemented instances, the nature of the taxpayer will dictate whether it by various forms of published and unpublished guidance is taxed as a capital asset or an ordinary asset (see discus- from the US tax authorities and by the case law).1 These tax sion of dealers versus traders, below). rules dictate the US federal income taxation of derivative instruments without regard to applicable accounting rules. Generally, the starting point will be to determine whether the instrument is a “capital asset” or an “ordinary asset” The tax rules applicable to derivative instruments have in the hands of the taxpayer. Section 1221 defines “capital developed over time in piecemeal fashion. There are no assets” by exclusion – unless an asset falls within one of general principles governing the taxation of derivatives eight enumerated exceptions, it is viewed as a capital asset. in the United States. Every transaction must be examined Exceptions to capital asset treatment relevant to taxpayers in light of these piecemeal rules. Key considerations for transacting in derivative instruments include the excep- issuers and holders of derivative instruments under US tions for (1) hedging transactions3 and (2) “commodities tax principles will include the character of income, gain, derivative financial instruments” held by a “commodities loss and deduction related to the instrument (ordinary derivatives dealer”.4 vs. -
Credit Default Swap in a Financial Portfolio: Angel Or Devil?
Credit Default Swap in a financial portfolio: angel or devil? A study of the diversification effect of CDS during 2005-2010 Authors: Aliaksandra Vashkevich Hu DongWei Supervisor: Catherine Lions Student Umeå School of Business Spring semester 2010 Master thesis, one-year, 15 hp ACKNOWLEDGEMENT We would like to express our deep gratitude and appreciation to our supervisor Catherine Lions. Your valuable guidance and suggestions have helped us enormously in finalizing this thesis. We would also like to thank Rene Wiedner from Thomson Reuters who provided us with an access to Reuters 3000 Xtra database without which we would not be able to conduct this research. Furthermore, we would like to thank our families for all the love, support and understanding they gave us during the time of writing this thesis. Aliaksandra Vashkevich……………………………………………………Hu Dong Wei Umeå, May 2010 ii SUMMARY Credit derivative market has experienced an exponential growth during the last 10 years with credit default swap (CDS) as an undoubted leader within this group. CDS contract is a bilateral agreement where the seller of the financial instrument provides the buyer the right to get reimbursed in case of the default in exchange for a continuous payment expressed as a CDS spread multiplied by the notional amount of the underlying debt. Originally invented to transfer the credit risk from the risk-averse investor to that one who is more prone to take on an additional risk, recently the instrument has been actively employed by the speculators betting on the financial health of the underlying obligation. It is believed that CDS contributed to the recent turmoil on financial markets and served as a weapon of mass destruction exaggerating the systematic risk. -
Credit Derivatives Handbook
08 February 2007 Fixed Income Research http://www.credit-suisse.com/researchandanalytics Credit Derivatives Handbook Credit Strategy Contributors Ira Jersey +1 212 325 4674 [email protected] Alex Makedon +1 212 538 8340 [email protected] David Lee +1 212 325 6693 [email protected] This is the second edition of our Credit Derivatives Handbook. With the continuous growth of the derivatives market and new participants entering daily, the Handbook has become one of our most requested publications. Our goal is to make this publication as useful and as user friendly as possible, with information to analyze instruments and unique situations arising from market action. Since we first published the Handbook, new innovations have been developed in the credit derivatives market that have gone hand in hand with its exponential growth. New information included in this edition includes CDS Orphaning, Cash Settlement of Single-Name CDS, Variance Swaps, and more. We have broken the information into several convenient sections entitled "Credit Default Swap Products and Evaluation”, “Credit Default Swaptions and Instruments with Optionality”, “Capital Structure Arbitrage”, and “Structure Products: Baskets and Index Tranches.” We hope this publication is useful for those with various levels of experience ranging from novices to long-time practitioners, and we welcome feedback on any topics of interest. FOR IMPORTANT DISCLOSURE INFORMATION relating to analyst certification, the Firm’s rating system, and potential conflicts -
Derivative Securities
2. DERIVATIVE SECURITIES Objectives: After reading this chapter, you will 1. Understand the reason for trading options. 2. Know the basic terminology of options. 2.1 Derivative Securities A derivative security is a financial instrument whose value depends upon the value of another asset. The main types of derivatives are futures, forwards, options, and swaps. An example of a derivative security is a convertible bond. Such a bond, at the discretion of the bondholder, may be converted into a fixed number of shares of the stock of the issuing corporation. The value of a convertible bond depends upon the value of the underlying stock, and thus, it is a derivative security. An investor would like to buy such a bond because he can make money if the stock market rises. The stock price, and hence the bond value, will rise. If the stock market falls, he can still make money by earning interest on the convertible bond. Another derivative security is a forward contract. Suppose you have decided to buy an ounce of gold for investment purposes. The price of gold for immediate delivery is, say, $345 an ounce. You would like to hold this gold for a year and then sell it at the prevailing rates. One possibility is to pay $345 to a seller and get immediate physical possession of the gold, hold it for a year, and then sell it. If the price of gold a year from now is $370 an ounce, you have clearly made a profit of $25. That is not the only way to invest in gold. -
Derivative Securities, Fall 2012 – Homework 3. Distributed 10/10
Derivative Securities, Fall 2012 { Homework 3. Distributed 10/10. This HW set is long, so I'm allowing 3 weeks: it is due by classtime on 10/31. Typos in pbm 3 (ambiguity in the payoff of a squared call) and pbm 6 (inconsistent notation for the dividend rate) have been corrected here. Problem 1 provides practice with lognormal statistics. Problems 2-6 explore the conse- quences of our formula for the value of an option as the discounted risk-neutral expected payoff. Problem 7 makes sure you have access to a numerical tool for playing with the Black-Scholes formula and the associated \Greeks." Problem 8 reinforces the notion of \implied volatility." Convention: when we say a process Xt is \lognormal with drift µ and volatility σ" we mean 2 ln Xt − ln Xs is Gaussian with mean µ(t − s) and variance σ (t − s) for all s < t; here µ and σ are constant. In this problem set, Xt will be either a stock price or a forward price. The interest rate is always r, assumed constant. (1) Suppose a stock price st is lognormal with drift µ and volatility σ, and the stock price now is s0. (a) Give a 95% confidence interval for sT , using the fact that with 95% confidence, a Gaussian random variable lies within 1:96 standard deviations of its mean. (b) Give the mean and variance of sT . (c) Give a formula for the likelihood that a call with strike K and maturity T will be in-the-money at maturity. -
Credit Default Swap Auctions
Federal Reserve Bank of New York Staff Reports Credit Default Swap Auctions Jean Helwege Samuel Maurer Asani Sarkar Yuan Wang Staff Report no. 372 May 2009 This paper presents preliminary findings and is being distributed to economists and other interested readers solely to stimulate discussion and elicit comments. The views expressed in the paper are those of the authors and are not necessarily reflective of views at the Federal Reserve Bank of New York or the Federal Reserve System. Any errors or omissions are the responsibility of the authors. Credit Default Swap Auctions Jean Helwege, Samuel Maurer, Asani Sarkar, and Yuan Wang Federal Reserve Bank of New York Staff Reports, no. 372 May 2009 JEL classification: G10, G13, G33 Abstract The rapid growth of the credit default swap (CDS) market and the increased number of defaults in recent years have led to major changes in the way CDS contracts are settled when default occurs. Auctions are increasingly the mechanism used to settle these contracts, replacing physical transfers of defaulted bonds between CDS sellers and buyers. Indeed, auctions will become a standard feature of all recent CDS contracts from now on. In this paper, we examine all of the CDS auctions conducted to date and evaluate their efficacy by comparing the auction outcomes to prices of the underlying bonds in the secondary market. The auctions appear to have served their purpose, as we find no evidence of inefficiency in the process: Participation is high, open interest is low, and the auction prices are close to the prices observed in the bond market before and after each auction has occurred. -
Credit Derivatives
3 Credit Derivatives CHAPTER 7 Credit derivatives Collaterized debt obligation Credit default swap Credit spread options Credit linked notes Risks in credit derivatives Credit Derivatives •A credit derivative is a financial instrument whose value is determined by the default risk of the principal asset. •Financial assets like forward, options and swaps form a part of Credit derivatives •Borrowers can default and the lender will need protection against such default and in reality, a credit derivative is a way to insure such losses Credit Derivatives •Credit default swaps (CDS), total return swap, credit default swap options, collateralized debt obligations (CDO) and credit spread forwards are some examples of credit derivatives •The credit quality of the borrower as well as the third party plays an important role in determining the credit derivative’s value Credit Derivatives •Credit derivatives are fundamentally divided into two categories: funded credit derivatives and unfunded credit derivatives. •There is a contract between both the parties stating the responsibility of each party with regard to its payment without resorting to any asset class Credit Derivatives •The level of risk differs in different cases depending on the third party and a fee is decided based on the appropriate risk level by both the parties. •Financial assets like forward, options and swaps form a part of Credit derivatives •The price for these instruments changes with change in the credit risk of agents such as investors and government Credit derivatives Collaterized debt obligation Credit default swap Credit spread options Credit linked notes Risks in credit derivatives Collaterized Debt obligation •CDOs or Collateralized Debt Obligation are financial instruments that banks and other financial institutions use to repackage individual loans into a product sold to investors on the secondary market. -
Counterparty Risk and Counterparty Choice in the Credit Default Swap Market∗
Counterparty Risk and Counterparty Choice in the Credit Default Swap Market∗ Wenxin Du Salil Gadgil Michael B. Gordy Clara Vega November 2018 Abstract We investigate how market participants price and manage counterparty credit risk in the post-crisis period using confidential trade repository data on single-name credit default swap (CDS) transactions. We find that counterparty risk has a modest impact on the pricing of CDS contracts, but a large impact on the choice of counterparties. We show that market participants are significantly less likely to trade with counterparties whose credit risk is highly correlated with the credit risk of the reference entities and with counterparties whose credit quality is low. Our results suggest that credit rationing may arise under wider circumstances than previously recognized. Keywords: Counterparty credit risk, credit default swaps, central clearing, credit rationing, counterparty choice. JEL Classifications: G12, G13, G24 ∗W. Du, M. Gordy and C. Vega are with the Federal Reserve Board, 20th and C Streets NW, Washington, DC 20551, USA. S. Gadgil is at UCLA Anderson School of Management, 110 Westwood Plaza, Los Ange- les, CA 90095, USA. The authors can be reached via email at [email protected], [email protected], [email protected], and [email protected]. We are grateful to DTCC for providing the data. We have benefitted from helpful comments from Robert Avery, Aaron Brown, Sean Campbell, Eduardo Canabarro, Audrey Costabile, Jorge Cruz Lopez, Michael Gibson, Jon Gregory, Erik Heitfield, Greg -
The Credit Default Swap Market
THE CREDIT DEFAULT SWAP MARKET Report THE BOARD OF THE INTERNATIONAL ORGANIZATION OF SECURITIES COMMISSIONS FR05/12 JUNE 2012 Copies of publications are available from: The International Organization of Securities Commissions website www.iosco.org © International Organization of Securities Commissions 2012. All rights reserved. Brief excerpts may be reproduced or translated provided the source is stated. ii Contents Chapter Page Executive Summary 1 1 Introduction 2 2 Basic Functioning of Credit Default Swap contracts and market size 3 2.1 Basic functioning of CDS contracts 3 2.2 Size of the CDS market 4 3 Features of the CDS market 11 3.1 Contract standards 11 3.2 Market structure 18 3.3 Counterparty risk and collateralization 24 3.4 CDS prices and bond spreads 27 3.5 CDS role under Basel III 30 4 The impact of CDS on the bond market 31 4.1 CDS impact on credit spreads and creditor incentives 31 4.2 CDS impact on the secondary market of underlying bonds 32 4.3 CDS role in the price discovery process 34 5 Conclusion 36 Appendix A -- References 39 Appendix B – Composition of the SCRR sub-group 44 iii Executive summary The market for credit default swaps (“CDS”) is going through rapid change. Over the last several years, CDS contracts have become more standardized, and electronic processing and central clearing of trades have increased. Large amounts of CDS data have become publicly available, and abundant research has been conducted to assess the role that CDSs play in global financial markets. This report discusses those recent changes and current trends in the CDS markets, and provides information from recent literature about the trading, pricing and clearing of CDS.