Effects of Negative Interest Rates on Floating Rate Loans and Bonds Analysis of Legal and Financial Profiles
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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. -
Guarantee and Embedded Options
Guarantee and embedded options Gary Finkelstein, Emma McWilliam, Paul de Beus, Rob van Leijenhorst, Steve Nagle Lotte Maas, Jiajia Cui Contact address: Contact address: Ernst & Young Life Actuarial Practice Ernst & Young Actuaries Rolls Buildings Euclideslaan 1 Fetter Lane 3584 BL Utrecht EC4A 1NH P.O. Box 3053 London 3502 GB Utrecht UNITED KINGDOM THE NETHERLANDS Tel: +44-20-7951-0176 Tel.: +31 –30-259-2224 Fax: +44-20-7951-8010 Fax: +31 –30-259-2118 email: [email protected] Email: [email protected] This Version: 27 June, 2003 Abstract Recent economic events, the changing attitude of regulators, and a possible global change in reporting to shareholders have put the options and guarantees included in today’s insurance products at the top of the list of management’s concerns. Indeed, many senior insurance executives around the world have indicated that they regard the identification, pricing, management, and valuation of guarantees and options embedded in insurance contracts as the most important and difficult financial challenge they face. On too many occasions over the years, insurance company executives have been surprised by the financial costs of embedded guarantees and options that were not properly understood. An understanding of options and guarantees has become essential to the sound financial management of insurance companies. This paper provides an introduction to the valuation of guarantees and options embedded in life insurance products. It explains the link between investment guarantees and embedded options, and consequently their measurement on a market-value basis. It also explores the implications of guarantees and options for asset and liability valuation, product pricing, and managing balance-sheet volatility. -
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. -
Convertible Bond Investing Brochure (PDF)
Convertible bond investing Invesco’s Convertible Securities Strategy 1 Introduction to convertible bonds A primer Convertible securities provide investors the opportunity to participate in the upside of stock markets while also offering potential downside protection. Because convertibles possess both stock- and bond-like attributes, they may be particularly useful in minimizing risk in a portfolio. The following is an introduction to convertibles, how they exhibit characteristics of both stocks and bonds, and where convertibles may fit in a diversified portfolio. Reasons for investing in convertibles Through their combination of stock and bond characteristics, convertibles may offer the following potential advantages over traditional stock and bond instruments: • Yield advantage over stocks • More exposure to market gains than market losses • Historically attractive risk-adjusted returns • Better risk-return profile • Lower interest rate risk Introduction to convertibles A convertible bond is a corporate bond that has the added feature of being convertible into a fixed number of shares of common stock. As a hybrid security, convertibles have the potential to offer equity-like returns due to their stock component with potentially less volatility due to their bond-like features. Convertibles are also higher in the capital structure than common stock, which means that companies must fulfill their obligations to convertible bondholders before stockholders. It is important to note that convertibles are subject to interest rate and credit risks that are applicable to traditional bonds. Simplified convertible structure Bond Call option Convertible Source: BofA Merrill Lynch Convertible Research. The bond feature of these securities comes from their stated interest rate and claim to principal. -
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. -
VALUATION of CALLABLE BONDS: the SALOMON BROTHERS APPROACH Fernando Daniel Rubio Fernández
VALUATION OF CALLABLE BONDS: THE SALOMON BROTHERS APPROACH Fernando Daniel Rubio Fernández VALUATION OF CALLABLE BONDS: THE SALOMON BROTHERS APPROACH FERNANDO RUBIO1 Director FERNCAPITAL S.A. and Invited Professor at the Graduated Business School Universidad de Valparaíso, Chile. Pasaje La Paz 1302, Viña del Mar, Chile. Phone (56) (32) 507507 EXTRACT This paper explain, analyze and apply in an example the original paper developed by Kopprasch, Boyce, Koenigsberg, Tatevossian, and Yampol (1987) from The Salomon Brothers Inc. Bond Portfolio Analysis Group. Please, be aware. This paper is for educational issues only. There is a Spanish version in EconWPA. JEL Classification: G10, G15, G21, G32. Keywords: Salomon Brothers, bond portfolio, duration and convexity, effective duration, valuation, callable and non callable bond. Originally developed January, 1999 Originally published October, 2004 This update July, 2005 1 This paper was made while I was assisting to the Doctoral Programme in Financial Economics, Universidad Autónoma de Madrid, Spain. Comments and suggestions will be appreciated. Please, send them by e-mail to [email protected] [email protected] 1 VALUATION OF CALLABLE BONDS: THE SALOMON BROTHERS APPROACH Fernando Daniel Rubio Fernández VALUATION OF CALLABLE BONDS: THE SALOMON BROTHERS APPROACH By Professor Dr. © Fernando Rubio 1 DURATION AND CONVEXITY FOR NORMAL (NO CALLABLE) BONDS Bonds are fixed income investments that have a fixed interest rate or coupon, payable on the principal amount. All fixed income investments are evidence of indebtedness which represent a loan or debt between the issuer and the owner or holder of the security. The value of any bond is the present value of its expected cash flows. -
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. -
Sweet Spot Investing with Convertible Bonds by Jim Buckham CFA, Portfolio Manager
20 William Street, Wellesley, MA 02481 781-416-4000 Sweet Spot Investing with Convertible Bonds By Jim Buckham CFA, Portfolio Manager Convertible bonds are sometimes considered the "Swiss Army knife" of financial products because they can provide investors with principal protection (barring default), income, and equity-like returns. The combination of a corporate bond with a call option can provide investors with asymmetrical returns: when stocks rise, the returns are more equity-like; when stocks fall, the returns are more bond-like. A convertible bond’s value is the potential to increase returns in a fixed income portfolio and dampen volatility in an equity portfolio. The secret to enjoying these benefits is investing in what convertible bond managers refer to as the "sweet spot." This means investing in convertible bonds trading close to par that have a balanced profile. Here at Wellesley Asset Management, we look to invest in the sweet spot of convertible bonds to unlock the many benefits this financial instrument can provide to investors. Options traders use the term "delta" to describe the change in price of an option in relation to the change in price of the underlying security. For example, if a call option in Apple, Inc. is trading on a 50 delta (the delta is the ratio of the change in price of an option to the change in price of the underlying asset) and Apple stock moves favorably by $1.00, then the option’s value will increase by $.50. Similarly, the convertible market uses delta to compare changes in stock prices to changes in convertible bond prices.