Collateralized Debt Obligations
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The TIPS-Treasury Bond Puzzle
The TIPS-Treasury Bond Puzzle Matthias Fleckenstein, Francis A. Longstaff and Hanno Lustig The Journal of Finance, October 2014 Presented By: Rafael A. Porsani The TIPS-Treasury Bond Puzzle 1 / 55 Introduction The TIPS-Treasury Bond Puzzle 2 / 55 Introduction (1) Treasury bond and the Treasury Inflation-Protected Securities (TIPS) markets: two of the largest and most actively traded fixed-income markets in the world. Find that there is persistent mispricing on a massive scale across them. Treasury bonds are consistently overpriced relative to TIPS. Price of a Treasury bond can exceed that of an inflation-swapped TIPS issue exactly matching the cash flows of the Treasury bond by more than $20 per $100 notional amount. One of the largest examples of arbitrage ever documented. The TIPS-Treasury Bond Puzzle 3 / 55 Introduction (2) Use TIPS plus inflation swaps to create synthetic Treasury bond. Price differences between the synthetic Treasury bond and the nominal Treasury bond: arbitrage opportunities. Average size of the mispricing: 54.5 basis points, but can exceed 200 basis points for some pairs. I The average size of this mispricing is orders of magnitude larger than transaction costs. The TIPS-Treasury Bond Puzzle 4 / 55 Introduction (3) What drives the mispricing? Slow-moving capital may help explain why mispricing persists. Is TIPS-Treasury mispricing related to changes in capital available to hedge funds? Answer: Yes. Mispricing gets smaller as more capital gets to the hedge fund sector. The TIPS-Treasury Bond Puzzle 5 / 55 Introduction (4) Also find that: Correlation in arbitrage strategies: size of TIPS-Treasury arbitrage is correlated with arbitrage mispricing in other markets. -
Up to EUR 3,500,000.00 7% Fixed Rate Bonds Due 6 April 2026 ISIN
Up to EUR 3,500,000.00 7% Fixed Rate Bonds due 6 April 2026 ISIN IT0005440976 Terms and Conditions Executed by EPizza S.p.A. 4126-6190-7500.7 This Terms and Conditions are dated 6 April 2021. EPizza S.p.A., a company limited by shares incorporated in Italy as a società per azioni, whose registered office is at Piazza Castello n. 19, 20123 Milan, Italy, enrolled with the companies’ register of Milan-Monza-Brianza- Lodi under No. and fiscal code No. 08950850969, VAT No. 08950850969 (the “Issuer”). *** The issue of up to EUR 3,500,000.00 (three million and five hundred thousand /00) 7% (seven per cent.) fixed rate bonds due 6 April 2026 (the “Bonds”) was authorised by the Board of Directors of the Issuer, by exercising the powers conferred to it by the Articles (as defined below), through a resolution passed on 26 March 2021. The Bonds shall be issued and held subject to and with the benefit of the provisions of this Terms and Conditions. All such provisions shall be binding on the Issuer, the Bondholders (and their successors in title) and all Persons claiming through or under them and shall endure for the benefit of the Bondholders (and their successors in title). The Bondholders (and their successors in title) are deemed to have notice of all the provisions of this Terms and Conditions and the Articles. Copies of each of the Articles and this Terms and Conditions are available for inspection during normal business hours at the registered office for the time being of the Issuer being, as at the date of this Terms and Conditions, at Piazza Castello n. -
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. -
Credit-Market Sentiment and the Business Cycle
Credit-Market Sentiment and the Business Cycle David L´opez-Salido∗ Jeremy C. Stein† Egon Zakrajˇsek‡ First draft: April 2015 This draft: December 2016 Abstract Using U.S. data from 1929 to 2015, we show that elevated credit-market sentiment in year t−2 is associated with a decline in economic activity in years t and t + 1. Underlying this result is the existence of predictable mean reversion in credit-market conditions. When credit risk is aggressively priced, spreads subsequently widen. The timing of this widening is, in turn, closely tied to the onset of a contraction in economic activity. Exploring the mechanism, we find that buoyant credit-market sentiment in year t−2 also forecasts a change in the composition of exter- nal finance: Net debt issuance falls in year t, while net equity issuance increases, consistent with the reversal in credit-market conditions leading to an inward shift in credit supply. Unlike much of the current literature on the role of financial frictions in macroeconomics, this paper suggests that investor sentiment in credit markets can be an important driver of economic fluctuations. JEL Classification: E32, E44, G12 Keywords: credit-market sentiment; financial stability; business cycles We are grateful to Olivier Blanchard, Claudia Buch, Bill English, Robin Greenwood, Sam Hanson, Oscar` Jord`a, Larry Katz, Arvind Krishnamurthy, H´el`ene Rey, Andrei Shleifer, the referees, and seminar participants at numerous institutions for helpful comments. Miguel Acosta, Ibraheem Catovic, Gregory Cohen, George Gu, Shaily Patel, and Rebecca Zhang provided outstanding research assistance. The views expressed in this paper are solely the responsibility of the authors and should not be interpreted as reflecting the views of the Board of Governors of the Federal Reserve System or of anyone else associated with the Federal Reserve System. -
Finance: a Quantitative Introduction Chapter 9 Real Options Analysis
Investment opportunities as options The option to defer More real options Some extensions Finance: A Quantitative Introduction Chapter 9 Real Options Analysis Nico van der Wijst 1 Finance: A Quantitative Introduction c Cambridge University Press Investment opportunities as options The option to defer More real options Some extensions 1 Investment opportunities as options 2 The option to defer 3 More real options 4 Some extensions 2 Finance: A Quantitative Introduction c Cambridge University Press Investment opportunities as options Option analogy The option to defer Sources of option value More real options Limitations of option analogy Some extensions The essential economic characteristic of options is: the flexibility to exercise or not possibility to choose best alternative walk away from bad outcomes Stocks and bonds are passively held, no flexibility Investments in real assets also have flexibility, projects can be: delayed or speeded up made bigger or smaller abandoned early or extended beyond original life-time, etc. 3 Finance: A Quantitative Introduction c Cambridge University Press Investment opportunities as options Option analogy The option to defer Sources of option value More real options Limitations of option analogy Some extensions Real Options Analysis Studies and values this flexibility Real options are options where underlying value is a real asset not a financial asset as stock, bond, currency Flexibility in real investments means: changing cash flows along the way: profiting from opportunities, cutting off losses Discounted -
Module 6 Option Strategies.Pdf
zerodha.com/varsity TABLE OF CONTENTS 1 Orientation 1 1.1 Setting the context 1 1.2 What should you know? 3 2 Bull Call Spread 6 2.1 Background 6 2.2 Strategy notes 8 2.3 Strike selection 14 3 Bull Put spread 22 3.1 Why Bull Put Spread? 22 3.2 Strategy notes 23 3.3 Other strike combinations 28 4 Call ratio back spread 32 4.1 Background 32 4.2 Strategy notes 33 4.3 Strategy generalization 38 4.4 Welcome back the Greeks 39 5 Bear call ladder 46 5.1 Background 46 5.2 Strategy notes 46 5.3 Strategy generalization 52 5.4 Effect of Greeks 54 6 Synthetic long & arbitrage 57 6.1 Background 57 zerodha.com/varsity 6.2 Strategy notes 58 6.3 The Fish market Arbitrage 62 6.4 The options arbitrage 65 7 Bear put spread 70 7.1 Spreads versus naked positions 70 7.2 Strategy notes 71 7.3 Strategy critical levels 75 7.4 Quick notes on Delta 76 7.5 Strike selection and effect of volatility 78 8 Bear call spread 83 8.1 Choosing Calls over Puts 83 8.2 Strategy notes 84 8.3 Strategy generalization 88 8.4 Strike selection and impact of volatility 88 9 Put ratio back spread 94 9.1 Background 94 9.2 Strategy notes 95 9.3 Strategy generalization 99 9.4 Delta, strike selection, and effect of volatility 100 10 The long straddle 104 10.1 The directional dilemma 104 10.2 Long straddle 105 10.3 Volatility matters 109 10.4 What can go wrong with the straddle? 111 zerodha.com/varsity 11 The short straddle 113 11.1 Context 113 11.2 The short straddle 114 11.3 Case study 116 11.4 The Greeks 119 12 The long & short straddle 121 12.1 Background 121 12.2 Strategy notes 122 12..3 Delta and Vega 128 12.4 Short strangle 129 13 Max pain & PCR ratio 130 13.1 My experience with option theory 130 13.2 Max pain theory 130 13.3 Max pain calculation 132 13.4 A few modifications 137 13.5 The put call ratio 138 13.6 Final thoughts 140 zerodha.com/varsity CHAPTER 1 Orientation 1.1 – Setting the context Before we start this module on Option Strategy, I would like to share with you a Behavioral Finance article I read couple of years ago. -
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. -
Show Me the Money: Option Moneyness Concentration and Future Stock Returns Kelley Bergsma Assistant Professor of Finance Ohio Un
Show Me the Money: Option Moneyness Concentration and Future Stock Returns Kelley Bergsma Assistant Professor of Finance Ohio University Vivien Csapi Assistant Professor of Finance University of Pecs Dean Diavatopoulos* Assistant Professor of Finance Seattle University Andy Fodor Professor of Finance Ohio University Keywords: option moneyness, implied volatility, open interest, stock returns JEL Classifications: G11, G12, G13 *Communications Author Address: Albers School of Business and Economics Department of Finance 901 12th Avenue Seattle, WA 98122 Phone: 206-265-1929 Email: [email protected] Show Me the Money: Option Moneyness Concentration and Future Stock Returns Abstract Informed traders often use options that are not in-the-money because these options offer higher potential gains for a smaller upfront cost. Since leverage is monotonically related to option moneyness (K/S), it follows that a higher concentration of trading in options of certain moneyness levels indicates more informed trading. Using a measure of stock-level dollar volume weighted average moneyness (AveMoney), we find that stock returns increase with AveMoney, suggesting more trading activity in options with higher leverage is a signal for future stock returns. The economic impact of AveMoney is strongest among stocks with high implied volatility, which reflects greater investor uncertainty and thus higher potential rewards for informed option traders. AveMoney also has greater predictive power as open interest increases. Our results hold at the portfolio level as well as cross-sectionally after controlling for liquidity and risk. When AveMoney is calculated with calls, a portfolio long high AveMoney stocks and short low AveMoney stocks yields a Fama-French five-factor alpha of 12% per year for all stocks and 33% per year using stocks with high implied volatility. -
YOUR QUICK START GUIDE to OPTIONS SUCCESS.Pages
YOUR QUICK START GUIDE TO OPTIONS SUCCESS Don Fishback IMPORTANT DISCLOSURE INFORMATION Fishback Management and Research, Inc. (FMR), its principles and employees reserve the right to, and indeed do, trade stocks, mutual funds, op?ons and futures for their own accounts. FMR, its principals and employees will not knowingly trade in advance of the general dissemina?on of trading ideas and recommenda?ons. There is, however, a possibility that when trading for these proprietary accounts, orders may be entered, which are opposite or otherwise different from the trades and posi?ons described herein. This may occur as a result of the use of different trading systems, trading with a different degree of leverage, or tes?ng of new trading systems, among other reasons. The results of any such trading are confiden?al and are not available for inspec?on. This publica?on, in whole or in part, may not be reproduced, retransmiDed, disseminated, sold, distributed, published, broadcast or circulated to anyone without the express prior wriDen permission of FMR except by bona fide news organiza?ons quo?ng brief passages for purposes of review. Due to the number of sources from which the informa?on contained in this newsleDer is obtained, and the inherent risks of distribu?on, there may be omissions or inaccuracies in such informa?on and services. FMR, its employees and contributors take every reasonable step to insure the integrity of the data. However, FMR, its owners and employees and contributors cannot and do not warrant the accuracy, completeness, currentness or fitness for a par?cular purpose of the informa?on contained in this newsleDer. -
Federal Register/Vol. 84, No. 215/Wednesday, November 6
Federal Register / Vol. 84, No. 215 / Wednesday, November 6, 2019 / Notices 59849 respect to this action, see the each participant will speak, and the SECURITIES AND EXCHANGE application for license amendment time allotted for each presentation. COMMISSION dated October 23, 2019. A written summary of the hearing will [Release No. 34–87434; File No. SR– Attorney for licensee: General be compiled, and such summary will be NYSEArca–2019–12] Counsel, Tennessee Valley Authority, made available, upon written request to 400 West Summit Hill Drive, 6A West OPIC’s Corporate Secretary, at the cost Self-Regulatory Organizations; NYSE Tower, Knoxville, TN 37902. of reproduction. Arca, Inc.; Notice of Filing of NRC Branch Chief: Undine Shoop. Amendment No. 2 and Order Granting Written summaries of the projects to Accelerated Approval of a Proposed Dated at Rockville, Maryland, this 31st day be presented at the December 11, 2019, of October 2019. Rule Change, as Modified by Board meeting will be posted on OPIC’s Amendment No. 2, To List and Trade For the Nuclear Regulatory Commission. website. Kimberly J. Green, Shares of the iShares Commodity Senior Project Manager, Plant Licensing CONTACT PERSON FOR INFORMATION: Curve Carry Strategy ETF Under NYSE Branch II–2, Division of Operating Reactor Information on the hearing may be Arca Rule 8.600–E obtained from Catherine F. I. Andrade at Licensing, Office of Nuclear Reactor I. Introduction Regulation. (202) 336–8768, via facsimile at (202) [FR Doc. 2019–24198 Filed 11–5–19; 8:45 am] 408–0297, or via email at On March 1, 2019, NYSE Arca, Inc.