Interest Rate Swaps
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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. -
The Synthetic Collateralised Debt Obligation: Analysing the Super-Senior Swap Element
The Synthetic Collateralised Debt Obligation: analysing the Super-Senior Swap element Nicoletta Baldini * July 2003 Basic Facts In a typical cash flow securitization a SPV (Special Purpose Vehicle) transfers interest income and principal repayments from a portfolio of risky assets, the so called asset pool, to a prioritized set of tranches. The level of credit exposure of every single tranche depends upon its level of subordination: so, the junior tranche will be the first to bear the effect of a credit deterioration of the asset pool, and senior tranches the last. The asset pool can be made up by either any type of debt instrument, mainly bonds or bank loans, or Credit Default Swaps (CDS) in which the SPV sells protection1. When the asset pool is made up solely of CDS contracts we talk of ‘synthetic’ Collateralized Debt Obligations (CDOs); in the so called ‘semi-synthetic’ CDOs, instead, the asset pool is made up by both debt instruments and CDS contracts. The tranches backed by the asset pool can be funded or not, depending upon the fact that the final investor purchases a true debt instrument (note) or a mere synthetic credit exposure. Generally, when the asset pool is constituted by debt instruments, the SPV issues notes (usually divided in more tranches) which are sold to the final investor; in synthetic CDOs, instead, tranches are represented by basket CDSs with which the final investor sells protection to the SPV. In any case all the tranches can be interpreted as percentile basket credit derivatives and their degree of subordination determines the percentiles of the asset pool loss distribution concerning them It is not unusual to find both funded and unfunded tranches within the same securitisation: this is the case for synthetic CDOs (but the same could occur with semi-synthetic CDOs) in which notes are issued and the raised cash is invested in risk free bonds that serve as collateral. -
Calculating Interest Rates
Calculating interest rates A reading prepared by Pamela Peterson Drake O U T L I N E 1. Introduction 2. Annual percentage rate 3. Effective annual rate 1. Introduction The basis of the time value of money is that an investor is compensated for the time value of money and risk. Situations arise often in which we wish to determine the interest rate that is implied from an advertised, or stated rate. There are also cases in which we wish to determine the rate of interest implied from a set of payments in a loan arrangement. 2. The annual percentage rate A common problem in finance is comparing alternative financing or investment opportunities when the interest rates are specified in a way that makes it difficult to compare terms. One lending source 1 may offer terms that specify 9 /4 percent annual interest with interest compounded annually, whereas another lending source may offer terms of 9 percent interest with interest compounded continuously. How do you begin to compare these rates to determine which is a lower cost of borrowing? Ideally, we would like to translate these interest rates into some comparable form. One obvious way to represent rates stated in various time intervals on a common basis is to express them in the same unit of time -- so we annualize them. The annualized rate is the product of the stated rate of interest per compounding period and the number of compounding periods in a year. Let i be the rate of interest per period and let n be the number of compounding periods in a year. -
Ice Crude Oil
ICE CRUDE OIL Intercontinental Exchange® (ICE®) became a center for global petroleum risk management and trading with its acquisition of the International Petroleum Exchange® (IPE®) in June 2001, which is today known as ICE Futures Europe®. IPE was established in 1980 in response to the immense volatility that resulted from the oil price shocks of the 1970s. As IPE’s short-term physical markets evolved and the need to hedge emerged, the exchange offered its first contract, Gas Oil futures. In June 1988, the exchange successfully launched the Brent Crude futures contract. Today, ICE’s FSA-regulated energy futures exchange conducts nearly half the world’s trade in crude oil futures. Along with the benchmark Brent crude oil, West Texas Intermediate (WTI) crude oil and gasoil futures contracts, ICE Futures Europe also offers a full range of futures and options contracts on emissions, U.K. natural gas, U.K power and coal. THE BRENT CRUDE MARKET Brent has served as a leading global benchmark for Atlantic Oseberg-Ekofisk family of North Sea crude oils, each of which Basin crude oils in general, and low-sulfur (“sweet”) crude has a separate delivery point. Many of the crude oils traded oils in particular, since the commercialization of the U.K. and as a basis to Brent actually are traded as a basis to Dated Norwegian sectors of the North Sea in the 1970s. These crude Brent, a cargo loading within the next 10-21 days (23 days on oils include most grades produced from Nigeria and Angola, a Friday). In a circular turn, the active cash swap market for as well as U.S. -
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. -
Futures Contract on the Average Rate of One-Day Repurchase Agreements (Oc1) Backed by Federal Securities
FUTURES CONTRACT ON THE AVERAGE RATE OF ONE-DAY REPURCHASE AGREEMENTS (OC1) BACKED BY FEDERAL SECURITIES – Specifications – 1. Definitions OC1 Futures Contract: to be used as the shortened name for the purposes of this contract, with the full name being the Futures Contract on the Average Rate of One-Day Repurchase Agreements (OC1) Backed by Federal Securities. Average Rate of One-Day adjusted average daily financing rate calculated Repurchase Agreements: by the Special System for Settlement and Custody (SELIC) for federal securities. Daily financing is considered on transactions with federal securities in the SELIC custody system, registered and settled at SELIC and in systems operated by the clearinghouses, or at clearing and settlement services providers encompassed by Law 10.214/2001. Unit Price (PU): value, in points, corresponding to 100,000 discounted by the interest rate described in item 2. Settlement price (PA): the closing price, in PU points, calculated and/or arbitrated daily by BM&FBOVESPA, at its sole discretion, for each of the authorized contract months, for the purpose of updating the value of open positions and calculating the variation margin and for the settlement of day trades. Reserve-day: business day for the purposes of financial market transactions, as established by the National Monetary Council. BM&FBOVESPA: BM&FBOVESPA S.A. – Bolsa de Valores, Mercadorias e Futuros. BCB: Central Bank of Brazil 2. Underlying asset The effective interest rate until the contract’s expiration date, defined for these purposes by the accumulation of the daily rates of repurchase agreements in the period as of and including the transaction’s date up to and including the contract’s expiration date. -
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. -
Decision on the Effective Interest Rate
Pursuant to Article 304, item (1) of the Credit Institutions Act (Official Gazette 159/2013, 19/2015 and 102/2015) and in connection with Article 17 of the Act on Consumer Housing Loans (Official Gazette 101/2017), Article 13, paragraph (3) of the Credit Unions Act (Official Gazette 141/2006, 25/2009 and 90/2011) and Article 43, paragraph (2), item (9) of the Act on the Croatian National Bank (Official Gazette 75/2008 and 54/2013), the Governor of the Croatian National Bank hereby issues the Decision on the effective interest rate I GENERAL PROVISIONS Subject matter Article 1 (1) This Decision prescribes the calculation methodology and elements for the purposes of the uniform calculation of the effective interest rate (hereinafter referred to as 'EIR'). (2) This Decision transposes into the legal system of the Republic of Croatia Directive 2014/17/EU of the European Parliament and of the Council of 4 February 2014 on credit agreements for consumers relating to residential immovable property and amending Directives 2008/48/EC and 2013/36/EU and Regulation (EU) No 1093/2010 (OJ L 60, 28.2.2014). Entities subject to the Decision Article 2 (1) Entities subject to this Decision shall be the following entities that provide services to consumers: 1. credit institutions with head offices in the Republic of Croatia that have been authorised by the Croatian National Bank; 2. credit institutions of the Member States that have established branches within the territory of the Republic of Croatia in accordance with the law governing the operation of credit institutions or that have been authorised to provide mutually recognised services directly within the territory of the Republic of Croatia; 3. -
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. -
March 21, 2018
Guaranteed Home Loan Program March 21, 2018 USDA Rural Development Guaranteed Home Loan Program Requires Itemization of Loan Discount Points and Origination Fees USDA Rural Development’s guaranteed home loan program requires that loan discount points and loan origination fees be itemized separately on the settlement statement so the amount of the loan used for loan discount points can be accurately identified. Also, loan discount points, other than to reduce the effective interest rate, cannot be financed as part of the loan. Discount points must be reasonable and customary for the area and cannot be more than those charged other applicants for comparable transactions. Permissible discount points financed may not exceed two percentage points of the loan amount for a non-streamlined refinance. Loan discount points representing fees other than to reduce the effective interest rate, such as to compensate for a low credit score or low loan amount, are ineligible loan purposes. Lenders must begin with an eligible interest rate prior to reducing the effective interest rate. Last year 2,100 rural Iowa families and individuals purchased homes by accessing more than $230 million in USDA Rural Development guaranteed loans. Please call (515) 284-4667, email [email protected] or visit www.rd.usda.gov/ia for more information. USDA Guaranteed Home Loan Program - Additional Information and Resources Stay informed of guaranteed home loan program changes by signing up for alerts at https://public.govdelivery.com/accounts/USDARD/subscriber/new?qsp=USDARD_25 USDA Rural Development's current 3555 Lender Handbook can be found at http://www.rd.usda.gov/publications/regulations-guidelines/handbooks. -
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.