Trading Strategies Involving Options Outline Strategies Principal-Protected Notes an Option & Its Underlying Spreads Combinations
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FINANCIAL DERIVATIVES SAMPLE QUESTIONS Q1. a Strangle Is an Investment Strategy That Combines A. a Call and a Put for the Same
FINANCIAL DERIVATIVES SAMPLE QUESTIONS Q1. A strangle is an investment strategy that combines a. A call and a put for the same expiry date but at different strike prices b. Two puts and one call with the same expiry date c. Two calls and one put with the same expiry dates d. A call and a put at the same strike price and expiry date Answer: a. Q2. A trader buys 2 June expiry call options each at a strike price of Rs. 200 and Rs. 220 and sells two call options with a strike price of Rs. 210, this strategy is a a. Bull Spread b. Bear call spread c. Butterfly spread d. Calendar spread Answer c. Q3. The option price will ceteris paribus be negatively related to the volatility of the cash price of the underlying. a. The statement is true b. The statement is false c. The statement is partially true d. The statement is partially false Answer: b. Q 4. A put option with a strike price of Rs. 1176 is selling at a premium of Rs. 36. What will be the price at which it will break even for the buyer of the option a. Rs. 1870 b. Rs. 1194 c. Rs. 1140 d. Rs. 1940 Answer b. Q5 A put option should always be exercised _______ if it is deep in the money a. early b. never c. at the beginning of the trading period d. at the end of the trading period Answer a. Q6. Bermudan options can only be exercised at maturity a. -
Here We Go Again
2015, 2016 MDDC News Organization of the Year! Celebrating 161 years of service! Vol. 163, No. 3 • 50¢ SINCE 1855 July 13 - July 19, 2017 TODAY’S GAS Here we go again . PRICE Rockville political differences rise to the surface in routine commission appointment $2.28 per gallon Last Week pointee to the City’s Historic District the three members of “Team him from serving on the HDC. $2.26 per gallon By Neal Earley @neal_earley Commission turned into a heated de- Rockville,” a Rockville political- The HDC is responsible for re- bate highlighting the City’s main po- block made up of Council members viewing applications for modification A month ago ROCKVILLE – In most jurisdic- litical division. Julie Palakovich Carr, Mark Pierzcha- to the exteriors of historic buildings, $2.36 per gallon tions, board and commission appoint- Mayor Bridget Donnell Newton la and Virginia Onley who ran on the as well as recommending boundaries A year ago ments are usually toward the bottom called the City Council’s rejection of same platform with mayoral candi- for the City’s historic districts. If ap- $2.28 per gallon of the list in terms of public interest her pick for Historic District Commis- date Sima Osdoby and city council proved Giammo, would have re- and controversy -- but not in sion – former three-term Rockville candidate Clark Reed. placed Matthew Goguen, whose term AVERAGE PRICE PER GALLON OF Rockville. UNLEADED REGULAR GAS IN Mayor Larry Giammo – political. While Onley and Palakovich expired in May. MARYLAND/D.C. METRO AREA For many municipalities, may- “I find it absolutely disappoint- Carr said they opposed Giammo’s ap- Giammo previously endorsed ACCORDING TO AAA oral appointments are a formality of- ing that politics has entered into the pointment based on his lack of qualifi- Newton in her campaign against ten given rubberstamped approval by boards and commission nomination cations, Giammo said it was his polit- INSIDE the city council, but in Rockville what process once again,” Newton said. -
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. -
G85-768 Basic Terminology for Understanding Grain Options
University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Historical Materials from University of Nebraska-Lincoln Extension Extension 1985 G85-768 Basic Terminology For Understanding Grain Options Lynn H. Lutgen University of Nebraska - Lincoln Follow this and additional works at: https://digitalcommons.unl.edu/extensionhist Part of the Agriculture Commons, and the Curriculum and Instruction Commons Lutgen, Lynn H., "G85-768 Basic Terminology For Understanding Grain Options" (1985). Historical Materials from University of Nebraska-Lincoln Extension. 643. https://digitalcommons.unl.edu/extensionhist/643 This Article is brought to you for free and open access by the Extension at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in Historical Materials from University of Nebraska-Lincoln Extension by an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. G85-768-A Basic Terminology For Understanding Grain Options This publication, the first of six NebGuides on agricultural grain options, defines many of the terms commonly used in futures trading. Lynn H. Lutgen, Extension Marketing Specialist z Grain Options Terms and Definitions z Conclusion z Agricultural Grain Options In order to properly understand examples and literature on options trading, it is imperative the reader understand the terminology used in trading grain options. The following list also includes terms commonly used in futures trading. These terms are included because the option is traded on an underlying futures contract position. It is an option on the futures market, not on the physical commodity itself. Therefore, a producer also needs a basic understanding of the futures market. GRAIN OPTIONS TERMS AND DEFINITIONS AT-THE-MONEY When an option's strike price is equal to, or approximately equal to, the current market price of the underlying futures contract. -
Introduction to Options
FIN-40008 FINANCIAL INSTRUMENTS SPRING 2008 Options These notes describe the payoffs to European and American put and call options|the so-called plain vanilla options. We consider the payoffs to these options for holders and writers and describe both the time vale and intrinsic value of an option. We explain why options are traded and examine some of the properties of put and call option prices. We shall show that longer dated options typically have higher prices and that call prices are higher when the strike price is lower and that put prices are higher when the strike price is higher. Keywords: Put, call, strike price, maturity date, in-the-money, time value, intrinsic value, parity value, American option, European option, early exer- cise, bull spread, bear spread, butterfly spread. 1 Options Options are derivative assets. That is their payoffs are derived from the pay- off on some other underlying asset. The underlying asset may be an equity, an index, a bond or indeed any other type of asset. Options themselves are classified by their type, class and their series. The most important distinc- tion of types is between put options and call options. A put option gives the owner the right to sell the underlying asset at specified dates at a specified price. A call option gives the owner the right to buy at specified dates at a specified price. Options are different from forward/futures contracts as a put (call) option gives the owner right to sell (buy) the underlying asset but not an obligation. The right to buy or sell need not be exercised. -
Machine Learning Based Intraday Calibration of End of Day Implied Volatility Surfaces
DEGREE PROJECT IN MATHEMATICS, SECOND CYCLE, 30 CREDITS STOCKHOLM, SWEDEN 2020 Machine Learning Based Intraday Calibration of End of Day Implied Volatility Surfaces CHRISTOPHER HERRON ANDRÉ ZACHRISSON KTH ROYAL INSTITUTE OF TECHNOLOGY SCHOOL OF ENGINEERING SCIENCES Machine Learning Based Intraday Calibration of End of Day Implied Volatility Surfaces CHRISTOPHER HERRON ANDRÉ ZACHRISSON Degree Projects in Mathematical Statistics (30 ECTS credits) Master's Programme in Applied and Computational Mathematics (120 credits) KTH Royal Institute of Technology year 2020 Supervisor at Nasdaq Technology AB: Sebastian Lindberg Supervisor at KTH: Fredrik Viklund Examiner at KTH: Fredrik Viklund TRITA-SCI-GRU 2020:081 MAT-E 2020:044 Royal Institute of Technology School of Engineering Sciences KTH SCI SE-100 44 Stockholm, Sweden URL: www.kth.se/sci Abstract The implied volatility surface plays an important role for Front office and Risk Manage- ment functions at Nasdaq and other financial institutions which require mark-to-market of derivative books intraday in order to properly value their instruments and measure risk in trading activities. Based on the aforementioned business needs, being able to calibrate an end of day implied volatility surface based on new market information is a sought after trait. In this thesis a statistical learning approach is used to calibrate the implied volatility surface intraday. This is done by using OMXS30-2019 implied volatil- ity surface data in combination with market information from close to at the money options and feeding it into 3 Machine Learning models. The models, including Feed For- ward Neural Network, Recurrent Neural Network and Gaussian Process, were compared based on optimal input and data preprocessing steps. -
Futures and Options Workbook
EEXAMININGXAMINING FUTURES AND OPTIONS TABLE OF 130 Grain Exchange Building 400 South 4th Street Minneapolis, MN 55415 www.mgex.com [email protected] 800.827.4746 612.321.7101 Fax: 612.339.1155 Acknowledgements We express our appreciation to those who generously gave their time and effort in reviewing this publication. MGEX members and member firm personnel DePaul University Professor Jin Choi Southern Illinois University Associate Professor Dwight R. Sanders National Futures Association (Glossary of Terms) INTRODUCTION: THE POWER OF CHOICE 2 SECTION I: HISTORY History of MGEX 3 SECTION II: THE FUTURES MARKET Futures Contracts 4 The Participants 4 Exchange Services 5 TEST Sections I & II 6 Answers Sections I & II 7 SECTION III: HEDGING AND THE BASIS The Basis 8 Short Hedge Example 9 Long Hedge Example 9 TEST Section III 10 Answers Section III 12 SECTION IV: THE POWER OF OPTIONS Definitions 13 Options and Futures Comparison Diagram 14 Option Prices 15 Intrinsic Value 15 Time Value 15 Time Value Cap Diagram 15 Options Classifications 16 Options Exercise 16 F CONTENTS Deltas 16 Examples 16 TEST Section IV 18 Answers Section IV 20 SECTION V: OPTIONS STRATEGIES Option Use and Price 21 Hedging with Options 22 TEST Section V 23 Answers Section V 24 CONCLUSION 25 GLOSSARY 26 THE POWER OF CHOICE How do commercial buyers and sellers of volatile commodities protect themselves from the ever-changing and unpredictable nature of today’s business climate? They use a practice called hedging. This time-tested practice has become a stan- dard in many industries. Hedging can be defined as taking offsetting positions in related markets. -
(NSE), India, Using Box Spread Arbitrage Strategy
Gadjah Mada International Journal of Business - September-December, Vol. 15, No. 3, 2013 Gadjah Mada International Journal of Business Vol. 15, No. 3 (September - December 2013): 269 - 285 Efficiency of S&P CNX Nifty Index Option of the National Stock Exchange (NSE), India, using Box Spread Arbitrage Strategy G. P. Girish,a and Nikhil Rastogib a IBS Hyderabad, ICFAI Foundation For Higher Education (IFHE) University, Andhra Pradesh, India b Institute of Management Technology (IMT) Hyderabad, India Abstract: Box spread is a trading strategy in which one simultaneously buys and sells options having the same underlying asset and time to expiration, but different exercise prices. This study examined the effi- ciency of European style S&P CNX Nifty Index options of National Stock Exchange, (NSE) India by making use of high-frequency data on put and call options written on Nifty (Time-stamped transactions data) for the time period between 1st January 2002 and 31st December 2005 using box-spread arbitrage strategy. The advantages of box-spreads include reduced joint hypothesis problem since there is no consideration of pricing model or market equilibrium, no consideration of inter-market non-synchronicity since trading box spreads involve only one market, computational simplicity with less chances of mis- specification error, estimation error and the fact that buying and selling box spreads more or less repli- cates risk-free lending and borrowing. One thousand three hundreds and fifty eight exercisable box- spreads were found for the time period considered of which 78 Box spreads were found to be profit- able after incorporating transaction costs (32 profitable box spreads were identified for the year 2002, 19 in 2003, 14 in 2004 and 13 in 2005) The results of our study suggest that internal option market efficiency has improved over the years for S&P CNX Nifty Index options of NSE India. -
How Options Implied Probabilities Are Calculated
No content left No content right of this line of this line How Options Implied Probabilities Are Calculated The implied probability distribution is an approximate risk-neutral distribution derived from traded option prices using an interpolated volatility surface. In a risk-neutral world (i.e., where we are not more adverse to losing money than eager to gain it), the fair price for exposure to a given event is the payoff if that event occurs, times the probability of it occurring. Worked in reverse, the probability of an outcome is the cost of exposure Place content to the outcome divided by its payoff. Place content below this line below this line In the options market, we can buy exposure to a specific range of stock price outcomes with a strategy know as a butterfly spread (long 1 low strike call, short 2 higher strikes calls, and long 1 call at an even higher strike). The probability of the stock ending in that range is then the cost of the butterfly, divided by the payout if the stock is in the range. Building a Butterfly: Max payoff = …add 2 …then Buy $5 at $55 Buy 1 50 short 55 call 1 60 call calls Min payoff = $0 outside of $50 - $60 50 55 60 To find a smooth distribution, we price a series of theoretical call options expiring on a single date at various strikes using an implied volatility surface interpolated from traded option prices, and with these calls price a series of very tight overlapping butterfly spreads. Dividing the costs of these trades by their payoffs, and adjusting for the time value of money, yields the future probability distribution of the stock as priced by the options market. -
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. -
Bond Futures Calendar Spread Trading
Black Algo Technologies Bond Futures Calendar Spread Trading Part 2 – Understanding the Fundamentals Strategy Overview Asset to be traded: Three-month Canadian Bankers' Acceptance Futures (BAX) Price chart of BAXH20 Strategy idea: Create a duration neutral (i.e. market neutral) synthetic asset and trade the mean reversion The general idea is straightforward to most professional futures traders. This is not some market secret. The success of this strategy lies in the execution. Understanding Our Asset and Synthetic Asset These are the prices and volume data of BAX as seen in the Interactive Brokers platform. blackalgotechnologies.com Black Algo Technologies Notice that the volume decreases as we move to the far month contracts What is BAX BAX is a future whose underlying asset is a group of short-term (30, 60, 90 days, 6 months or 1 year) loans that major Canadian banks make to each other. BAX futures reflect the Canadian Dollar Offered Rate (CDOR) (the overnight interest rate that Canadian banks charge each other) for a three-month loan period. Settlement: It is cash-settled. This means that no physical products are transferred at the futures’ expiry. Minimum price fluctuation: 0.005, which equates to C$12.50 per contract. This means that for every 0.005 move in price, you make or lose $12.50 Canadian dollar. Link to full specification details: • https://m-x.ca/produits_taux_int_bax_en.php (Note that the minimum price fluctuation is 0.01 for contracts further out from the first 10 expiries. Not too important as we won’t trade contracts that are that far out.) • https://www.m-x.ca/f_publications_en/bax_en.pdf Other STIR Futures BAX are just one type of short-term interest rate (STIR) future. -
11 Option Payoffs and Option Strategies
11 Option Payoffs and Option Strategies Answers to Questions and Problems 1. Consider a call option with an exercise price of $80 and a cost of $5. Graph the profits and losses at expira- tion for various stock prices. 73 74 CHAPTER 11 OPTION PAYOFFS AND OPTION STRATEGIES 2. Consider a put option with an exercise price of $80 and a cost of $4. Graph the profits and losses at expiration for various stock prices. ANSWERS TO QUESTIONS AND PROBLEMS 75 3. For the call and put in questions 1 and 2, graph the profits and losses at expiration for a straddle comprising these two options. If the stock price is $80 at expiration, what will be the profit or loss? At what stock price (or prices) will the straddle have a zero profit? With a stock price at $80 at expiration, neither the call nor the put can be exercised. Both expire worthless, giving a total loss of $9. The straddle breaks even (has a zero profit) if the stock price is either $71 or $89. 4. A call option has an exercise price of $70 and is at expiration. The option costs $4, and the underlying stock trades for $75. Assuming a perfect market, how would you respond if the call is an American option? State exactly how you might transact. How does your answer differ if the option is European? With these prices, an arbitrage opportunity exists because the call price does not equal the maximum of zero or the stock price minus the exercise price. To exploit this mispricing, a trader should buy the call and exercise it for a total out-of-pocket cost of $74.