The Determinants of Credit Default Swap Rates: an Explanatory Study
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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. -
Bonds and Their Valuation
Chapter 7 Bonds and Their Valuation Key Features of Bonds Bond Valuation Measuring Yield Assessing Risk 7‐1 © 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied, or duplicated, or posted to a publicly accessible website, in whole or in part. What is a bond? • A long‐term debt instrument in which a borrower agrees to make payments of principal and interest, on specific dates, to the holders of the bond. 7‐2 © 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied, or duplicated, or posted to a publicly accessible website, in whole or in part. Bond Markets • Primarily traded in the over‐the‐counter (OTC) market. • Most bonds are owned by and traded among large financial institutions. • The Wall Street Journal reports key developments in the Treasury, corporate, and municipal markets. Online edition lists trading for each day the most actively‐traded investment‐grade, high‐yield, and convertible bonds. 7‐3 © 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied, or duplicated, or posted to a publicly accessible website, in whole or in part. Key Features of a Bond • Par value: face amount of the bond, which is paid at maturity (assume $1,000). • Coupon interest rate: stated interest rate (generally fixed) paid by the issuer. Multiply by par value to get dollar payment of interest. • Maturity date: years until the bond must be repaid. • Issue date: when the bond was issued. • Yield to maturity: rate of return earned on a bond held until maturity (also called the “promised yield”). 7‐4 © 2012 Cengage Learning. -
Bond Valuation Reading
Bond valuation A reading prepared by Pamela Peterson Drake ___________________________________________________________ O U T L I N E 1. Valuation of long-term debt securities 2. Issues 3. Summary ___________________________________________________________ 1. Valuation of long-term debt securities Debt securities are obligations to repay an amount borrowed, along with some compensation for the time value of money and risk. The borrowers may be corporations, the government, or governmental agencies. The lenders may be corporations, governments, pension funds, mutual funds, or individual investors. Long-term debt securities, such as notes and bonds, are promises by the borrower to repay the principal amount. Notes and bonds may also require the borrower to pay interest periodically, typically semi- annually or annually, and generally stated as a percentage of the face value of the bond or note. We refer to the interest payments as coupon payments or coupons and the percentage rate as the coupon rate. If these coupons are a constant amount, paid at regular intervals, we refer to the security paying them as having a straight coupon. A debt security that does not have a promise to pay interest we refer to as a zero-coupon note or bond. The value of a debt security today is the present value of the promised future cash flows -- the interest and the maturity value.1 Therefore, the present value of a debt is the sum of the present value of the interest payments and the present value of the maturity value: Present value of a bond = present value of interest payments + present value of maturity value To calculate the value of a debt security, we discount the future cash flows -- the interest and maturity value -- at some rate that reflects both the time value of money and the uncertainty of receiving these future cash flows. -
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 Derivative Handbook 2003 – 16 April 2003
16 April 2003 Credit Derivative CREDIT Chris Francis (44) 20 7995-4445 [email protected] Handbook 2003 Atish Kakodkar (44) 20 7995-8542 A Guide to Products, Valuation, Strategies and Risks [email protected] Barnaby Martin (44) 20 7995-0458 [email protected] Europe The Key Piece In The Puzzle V ol a Risk til t ity Managemen rate rpo Co ds Bon Capital Structure CreditCredit DerivativesDerivatives Arbitrage F irst D To efa dit ult Cre ed Link tes No Convertible Bonds Derivatives Refer to important disclosures at the end of this report. Merrill Lynch Global Securities Research & Economics Group Investors should assume that Merrill Lynch is Global Fundamental Equity Research Department seeking or will seek investment banking or other business relationships with the companies in this report. RC#60910601 Credit Derivative Handbook 2003 – 16 April 2003 CONTENTS n Section Page Market Evolution: Going 1. Market growth, importance and prospects 3 Mainstream? Credit Default Swap Basics 2. The basic concepts 10 Valuation of Credit Default 3. Arbitrage relationship and an introduction to survival probabilities 13 Swaps Unwinding Default Swaps 4. Mechanics for terminating contracts 19 Valuing the CDS Basis 5. Comparing CDS with the cash market 29 What Drives the Basis? 6. Why do cash and default market yields diverge? 35 CDS Investor Strategies 7. Using CDS to enhance returns 44 CDS Structural Roadmap 8. Key structural considerations 60 What Price Restructuring? 9. How to value the Restructuring Credit Event 73 First-to-Default Baskets 10. A guide to usage and valuation 84 Synthetic CDO Valuation 11. Mechanics and investment rationale 95 Counterparty Risk 12. -
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 -
Teaching Bond Valuation: a Differential Approach Demonstrating Duration and Convexity
JOURNAL OF ECONOMICS AND FINANCE EDUCATION • Volume 7 • Number 2 • Winter 2008 13 Teaching Bond Valuation: A Differential Approach Demonstrating Duration and Convexity TeWahn Hahn, David Lange 1 ABSTRACT A traditional bond pricing scheme used in introductory finance texts is simple enough but not necessarily intuitive. The differential approach suggested here presents premiums (discounts) as coupon interest over- (under-) payments to make bond pricing dynamics more intuitive. The primary pedagogic benefit is the differential approach demonstrates the more sophisticated bond valuation concepts of duration and convexity. Introduction The basic bond valuation formula is traditionally presented as a straight forward discounted cash flow application. The relationship between required yield and price is generally stated as “Bond prices and yields are inversely related: as yields increase, bond prices fall; as yields fall, bond prices rise” (Bodie, Kane and Marcus 2009. pg. 514). A second bond pricing observation is “An increase in a bond’s yield to maturity results in a smaller price change than a decrease in yield of equal magnitude” (Bodie, Kane and Marcus 2009. pg. 514). Both observations are attributable to Malkiel (1962). A pedagogic difficulty is students may be able to solve for the bond price given a change in interest rates, but may not fully understand the financial dynamics for bond price premiums and discounts. Further, the differential impact of an increase (decrease) in yield to maturity on bond price may be even more unclear. This paper first demonstrates the traditional bond valuation approach. Second, a differential bond price premium and discount conceptual approach is described. Third, the traditional and differential approaches are compared. -
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. -
1 Bond Valuation
Structure of fixed income securities • A Fixed Income Security promises to pay fixed coupon payments at a prespecified dates and a fixed principal amount Bond Valuation (the face value) at the maturity date. • When there are no coupon payments then the bond is called a •The Structure of fixed income securities zero coupon bond or a pure discount bond. •Price & yield to maturity (ytm) •Term structure of interest rates Payments of a “N” year bond with annual coupon C and face value F •Treasury STRIPS •No-arbitrage pricing of coupon bonds payments: C C …………… C C+F Time: 0 1 2 ………….. N-1 N Coupon Bonds The U.S. government issues bonds • The coupon payments on coupon bonds are typically stated as a Default free bonds issued by the government: percentage of the principal (or face value) paid per year. Treasury bills have an initial maturity less than one year and are all • If coupon payments are made n times per year, then the coupon discount bonds amount is (c x F)/n, where c is the coupon rate and F is the face Treasure notes have initial maturities between one and ten years and value. pay coupons Treasury bonds have initial maturities longer than ten years and pay Understanding the terms: U.S. Treasury Notes and Bonds are coupons typically issued with face value of $10,000, and pay semi-annual coupons. Assume a 30 year coupon rate of 7.5%. What payments Default free bonds issued by government sponsored agencies do you receive from buying this bond? Fannie Mae: Federal National Mortgage Association Ginnie Mae: Government National Mortgage Association You receive a coupon payment of (0.075 x $10,000)/2 = $375 twice a Freddie Mac: Federal Home Loan Mortgage Corporation year and on the maturity date you will receive the coupon of $375 Federal Home Loan Bank plus the principal of $10,000. -
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. -
Bond Valuation and Analysis
BOND VALUATION AND ANALYSIS Bond Valuation and Analysis Bond Valuation & Analysis The Fixed Income Market Is Large… $45,000 $40,000 ) $40 trillion $35,000 billions $30,000 $32 trillion $25,000 $25 trillion $20 trillion $20,000 $15,000 $10,000 US Fixed Income Market $5,000 Oustanding Debt / Market Capitalization (US $ in US Stock Market $0 2007 2008 2009 2010 2011 2012 2013 2014 2015 Sources: Bond data from the Securities Industry and Financial Markets Association; Stock data from the World Bank. Bond Valuation & Analysis Layout of the Course ● Chapter 1: Bond Valuation ● Chapter 2: Estimating Yield to Maturity ● Chapter 3: Duration and Convexity ● Chapter 4: Comprehensive Example Bond Valuation & Analysis What You Should Know ● Introduction to R ● Intermediate R ● No prior experience with financial analysis necessary! Bond Valuation & Analysis About me ● Advise clients on valuation and other financial issues primarily related to litigation ● Previously taught investments, investment management, and corporate finance ● Author of Analyzing Financial Data and Implementing Financial Models Using R BOND VALUATION AND ANALYSIS See you in the course! BOND VALUATION AND ANALYSIS Welcome to the Course! Bond Valuation & Analysis About me ● Advise clients on valuation and other financial issues related to litigation ● Author of Analyzing Financial Data and Implementing Financial Models Using R Bond Valuation & Analysis Bonds ● Debt instrument ● Repay borrowed amount + interest ● Allows us to focus on fundamental concepts of bond valuation Bond Valuation