The Credit Default Swap Market: What a Difference a Decade Makes1
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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. -
Interest Rate Options
Interest Rate Options Saurav Sen April 2001 Contents 1. Caps and Floors 2 1.1. Defintions . 2 1.2. Plain Vanilla Caps . 2 1.2.1. Caplets . 3 1.2.2. Caps . 4 1.2.3. Bootstrapping the Forward Volatility Curve . 4 1.2.4. Caplet as a Put Option on a Zero-Coupon Bond . 5 1.2.5. Hedging Caps . 6 1.3. Floors . 7 1.3.1. Pricing and Hedging . 7 1.3.2. Put-Call Parity . 7 1.3.3. At-the-money (ATM) Caps and Floors . 7 1.4. Digital Caps . 8 1.4.1. Pricing . 8 1.4.2. Hedging . 8 1.5. Other Exotic Caps and Floors . 9 1.5.1. Knock-In Caps . 9 1.5.2. LIBOR Reset Caps . 9 1.5.3. Auto Caps . 9 1.5.4. Chooser Caps . 9 1.5.5. CMS Caps and Floors . 9 2. Swap Options 10 2.1. Swaps: A Brief Review of Essentials . 10 2.2. Swaptions . 11 2.2.1. Definitions . 11 2.2.2. Payoff Structure . 11 2.2.3. Pricing . 12 2.2.4. Put-Call Parity and Moneyness for Swaptions . 13 2.2.5. Hedging . 13 2.3. Constant Maturity Swaps . 13 2.3.1. Definition . 13 2.3.2. Pricing . 14 1 2.3.3. Approximate CMS Convexity Correction . 14 2.3.4. Pricing (continued) . 15 2.3.5. CMS Summary . 15 2.4. Other Swap Options . 16 2.4.1. LIBOR in Arrears Swaps . 16 2.4.2. Bermudan Swaptions . 16 2.4.3. Hybrid Structures . 17 Appendix: The Black Model 17 A.1. -
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. -
An Analysis of OTC Interest Rate Derivatives Transactions: Implications for Public Reporting
Federal Reserve Bank of New York Staff Reports An Analysis of OTC Interest Rate Derivatives Transactions: Implications for Public Reporting Michael Fleming John Jackson Ada Li Asani Sarkar Patricia Zobel Staff Report No. 557 March 2012 Revised October 2012 FRBNY Staff REPORTS This paper presents preliminary fi ndings and is being distributed to economists and other interested readers solely to stimulate discussion and elicit comments. The views expressed in this paper are those of the authors and are not necessarily refl ective 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. An Analysis of OTC Interest Rate Derivatives Transactions: Implications for Public Reporting Michael Fleming, John Jackson, Ada Li, Asani Sarkar, and Patricia Zobel Federal Reserve Bank of New York Staff Reports, no. 557 March 2012; revised October 2012 JEL classifi cation: G12, G13, G18 Abstract This paper examines the over-the-counter (OTC) interest rate derivatives (IRD) market in order to inform the design of post-trade price reporting. Our analysis uses a novel transaction-level data set to examine trading activity, the composition of market participants, levels of product standardization, and market-making behavior. We fi nd that trading activity in the IRD market is dispersed across a broad array of product types, currency denominations, and maturities, leading to more than 10,500 observed unique product combinations. While a select group of standard instruments trade with relative frequency and may provide timely and pertinent price information for market partici- pants, many other IRD instruments trade infrequently and with diverse contract terms, limiting the impact on price formation from the reporting of those transactions. -
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 -
Panagora Global Diversified Risk Portfolio General Information Portfolio Allocation
March 31, 2021 PanAgora Global Diversified Risk Portfolio General Information Portfolio Allocation Inception Date April 15, 2014 Total Assets $254 Million (as of 3/31/2021) Adviser Brighthouse Investment Advisers, LLC SubAdviser PanAgora Asset Management, Inc. Portfolio Managers Bryan Belton, CFA, Director, Multi Asset Edward Qian, Ph.D., CFA, Chief Investment Officer and Head of Multi Asset Research Jonathon Beaulieu, CFA Investment Strategy The PanAgora Global Diversified Risk Portfolio investment philosophy is centered on the belief that risk diversification is the key to generating better risk-adjusted returns and avoiding risk concentration within a portfolio is the best way to achieve true diversification. They look to accomplish this by evaluating risk across and within asset classes using proprietary risk assessment and management techniques, including an approach to active risk management called Dynamic Risk Allocation. The portfolio targets a risk allocation of 40% equities, 40% fixed income and 20% inflation protection. Portfolio Statistics Portfolio Composition 1 Yr 3 Yr Inception 1.88 0.62 Sharpe Ratio 0.6 Positioning as of Positioning as of 0.83 0.75 Beta* 0.78 December 31, 2020 March 31, 2021 Correlation* 0.87 0.86 0.79 42.4% 10.04 10.6 Global Equity 43.4% Std. Deviation 9.15 24.9% U.S. Stocks 23.6% Weighted Portfolio Duration (Month End) 9.0% 8.03 Developed non-U.S. Stocks 9.8% 8.5% *Statistic is measured against the Dow Jones Moderate Index Emerging Markets Equity 10.0% 106.8% Portfolio Benchmark: Nominal Fixed Income 142.6% 42.0% The Dow Jones Moderate Index is a composite index with U.S. -
Interest Rate Swap Contracts the Company Has Two Interest Rate Swap Contracts That Hedge the Base Interest Rate Risk on Its Two Term Loans
$400.0 million. However, the $100.0 million expansion feature may or may not be available to the Company depending upon prevailing credit market conditions. To date the Company has not sought to borrow under the expansion feature. Borrowings under the Credit Agreement carry interest rates that are either prime-based or Libor-based. Interest rates under these borrowings include a base rate plus a margin between 0.00% and 0.75% on Prime-based borrowings and between 0.625% and 1.75% on Libor-based borrowings. Generally, the Company’s borrowings are Libor-based. The revolving loans may be borrowed, repaid and reborrowed until January 31, 2012, at which time all amounts borrowed must be repaid. The revolver borrowing capacity is reduced for both amounts outstanding under the revolver and for letters of credit. The original term loan will be repaid in 18 consecutive quarterly installments which commenced on September 30, 2007, with the final payment due on January 31, 2012, and may be prepaid at any time without penalty or premium at the option of the Company. The 2008 term loan is co-terminus with the original 2007 term loan under the Credit Agreement and will be repaid in 16 consecutive quarterly installments which commenced June 30, 2008, plus a final payment due on January 31, 2012, and may be prepaid at any time without penalty or premium at the option of Gartner. The Credit Agreement contains certain customary restrictive loan covenants, including, among others, financial covenants requiring a maximum leverage ratio, a minimum fixed charge coverage ratio, and a minimum annualized contract value ratio and covenants limiting Gartner’s ability to incur indebtedness, grant liens, make acquisitions, be acquired, dispose of assets, pay dividends, repurchase stock, make capital expenditures, and make investments. -
Form 6781 Contracts and Straddles ▶ Go to for the Latest Information
Gains and Losses From Section 1256 OMB No. 1545-0644 Form 6781 Contracts and Straddles ▶ Go to www.irs.gov/Form6781 for the latest information. 2020 Department of the Treasury Attachment Internal Revenue Service ▶ Attach to your tax return. Sequence No. 82 Name(s) shown on tax return Identifying number Check all applicable boxes. A Mixed straddle election C Mixed straddle account election See instructions. B Straddle-by-straddle identification election D Net section 1256 contracts loss election Part I Section 1256 Contracts Marked to Market (a) Identification of account (b) (Loss) (c) Gain 1 2 Add the amounts on line 1 in columns (b) and (c) . 2 ( ) 3 Net gain or (loss). Combine line 2, columns (b) and (c) . 3 4 Form 1099-B adjustments. See instructions and attach statement . 4 5 Combine lines 3 and 4 . 5 Note: If line 5 shows a net gain, skip line 6 and enter the gain on line 7. Partnerships and S corporations, see instructions. 6 If you have a net section 1256 contracts loss and checked box D above, enter the amount of loss to be carried back. Enter the loss as a positive number. If you didn’t check box D, enter -0- . 6 7 Combine lines 5 and 6 . 7 8 Short-term capital gain or (loss). Multiply line 7 by 40% (0.40). Enter here and include on line 4 of Schedule D or on Form 8949. See instructions . 8 9 Long-term capital gain or (loss). Multiply line 7 by 60% (0.60). Enter here and include on line 11 of Schedule D or on Form 8949. -
IDEX IRS Products
IDEX IRS Products International Derivatives Clearing Group (IDCG), a majority owned, independently operated subsidiary of The NASDAQ OMX Group®, has developed an integrated derivatives trading and clearing platform. This platform will provide an efficient and transparent venue to trade, clear and settle IDEXTM interest rate swap (IRS) futures as well as other fixed income derivatives contracts. The platform offers a state-of-the-art trade matching engine and a best-in-breed clearing system through IDCG’s wholly-owned subsidiary, the International Derivatives Clearinghouse, LLC (IDCH)*. The trade matching engine is provided by IDCG and operated under the auspices of the NASDAQ OMX Futures Exchange (NFX), a wholly- owned subsidiary of The NASDAQ OMX Group, in NFX’s capacity as a CFTC-designated contract market for IDEXTM IRS futures products. IDEXTM IRS Product Offerings IDEXTM IRS futures are designed to be economically equivalent in every material respect to plain vanilla interest rate swap contracts currently traded in the OTC derivatives market. The first product launched was IDEXTM USD Interest Rate Swap Futures. • IDEXTM USD Interest Rate Swap Futures — The exchange of semi-annual fixed-rate payments in exchange for quarterly floating-rate payments based on the 3-Month U.S. Dollar London Interbank Offered Rate (USD LIBOR). There are thirty years of daily maturities available for trading on days that NFX and IDCH are open for business. • IDEX SwapDrop PortalTM — The SwapDrop Portal is a web portal maintained by the NFX, which is utilized to report Exchange of Futures for Swaps (EFS) transactions involving IDEXTM USD Interest Rate Swap Futures contracts. -
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. -
Interest Rate Models: Paradigm Shifts in Recent Years
Interest Rate Models: Paradigm shifts in recent years Damiano Brigo Q-SCI, Managing Director and Global Head DerivativeFitch, 101 Finsbury Pavement, London Columbia University Seminar, New York, November 5, 2007 This presentation is based on the book "Interest Rate Models: Theory and Practice - with Smile, Inflation and Credit" by D. Brigo and F. Mercurio, Springer-Verlag, 2001 (2nd ed. 2006) http://www.damianobrigo.it/book.html Damiano Brigo, Q-SCI, DerivativeFitch, London Columbia University Seminar, November 5, 2007 Overview ² No arbitrage and derivatives pricing. ² Modeling suggested by no-arbitrage discounting. 1977: Endogenous short-rate term structure models ² Reproducing the initial market interest-rate curve exactly. 1990: Exogenous short rate models ² A general framework for no-arbitrage rates dynamics. 1990: HJM - modeling instantaneous forward rates ² Moving closer to the market and consistency with market formulas 1997: Fwd market-rates models calibration and diagnostics power ² 2002: Volatility smile extensions of Forward market-rates models Interest rate models: Paradigms shifts in recent years 1 Damiano Brigo, Q-SCI, DerivativeFitch, London Columbia University Seminar, November 5, 2007 No arbitrage and Risk neutral valuation Recall shortly the risk-neutral valuation paradigm of Harrison and Pliska's (1983), characterizing no-arbitrage theory: A future stochastic payo®, built on an underlying fundamental ¯nancial asset, paid at a future time T and satisfying some technical conditions, has as unique price at current time t