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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. -
Chapter 2 Roche Holding: the Company, Its
Risk Takers Uses and Abuses of Financial Derivatives John E. Marthinsen Babson College PEARSON Addison Wesley Boston San Francisco New York London Toronto Sydney Tokyo Singapore Madrid Mexico City Munich Paris Cape Town Hong Kong Montreal Preface xiii Parti 1 Chapter 1 Employee Stock Options: What Every MBA Should Know 3 Introduction 3 Employee Stock Options: A Major Pillar of Executive Compensation 6 Why Do Companies Use Employee Stock Options 6 Aligning Incentives 7 Hiring and Retention 7 Postponing the Timing of Expenses 8 Adjusting Compensation to Employee Risk Tolerance Levels 8 Tax Advantages for Employees 9 Tax Advantages for Companies 9 Cash Flow Advantages for Companies 10 Option Valuation Differences and Human Resource Management 12 Problems with Employee Stock Options 26 Employee Motivation 26 The Share Price of "Good" Companies 27 Motivation of Undesired Behavior 28 vi Contents Performance Improvement 28 Absolute Versus Relative Performance 29 Some Innovative Solutions to Employee Stock Option Problems 29 Premium-Priced Stock Options 30 Index Options 30 Restricted Shares 34 Omnibus Plans 34 Conclusion 35 Review Questions 36 Bibliography 38 Chapter 2 Roche Holding: The Company, Its Financial Strategy, and Bull Spread Warrants 41 Introduction 41 Roche Holding AG: Transition from a Lender to a Borrower 43 Loss of the Valium Patent in the United States 43 Rapid Increase in R&D Costs, Market Growth, and Industry Consolidation 43 Roche's Unique Capital Structure 44 Roche Brings in a New Leader and Replaces Its Management Committee -
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. -
Options Slide Deck Updated Version
www.levelupbootcamps.com 4/4/21 Derivatives Option Strategies 4/4/21 LevelUp, LLC©2021 All rights reserved 1 1 Derivatives & Currency Management Option Strategies 4/4/21 LevelUp, LLC©2021 All rights reserved 2 2 Level Up, LLC©2021 All rights reserved 1 www.levelupbootcamps.com 4/4/21 Risk Management with Options Synthetic Positions • Synthetic Long & Short Forward Option Strategies • Synthetic Puts & Calls Multiple Option Strategies Single Option + Underlying Single Option Directionless Volatility Long U/L Risk Reduction Writing Puts • Long Straddle = LC + LP Covered Call = U/L + SC • Lower purchase cost • Short Straddle = SC + SP • Income enhancement • Fiduciary put = SP + Money Spreads • Reduce at favorable price cash to cover (ftn 13) “Small Moves Up or Down” • Target price realization The Greeks • Bull & Bear Call Spreads • Manza Case 1. Delta + & - • Bear & Bull Put Spreads Protective Put = U/L + LP 2. Gamma + • Insurance Calendar Spreads 3. Theta (time) - Collar = U/L + LP + SC Short “Its all about Theta” 4. Vega (Implied Vol) + • Risk Reversal • Long Calendar Spread Portfolio Mgt • Short Calendar Spread Short U/L Risk Reduction 1. Strategies using • Short U/L + Long Call volatility & market view • Short U/L + Short Put 2. Adjusting risk exposure 4/4/21 LevelUp, LLC©2021 All rights reserved 3 3 Single Option Strategies Refresher . just in case + + X S Long Call – LC S Short Call – SC - - X “writing” Want U/L up – bullish Want U/L down – bearish Right to buy at strike price X Obligated to sell at strike price X Max gain = ∞ when S -
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. -
VERTICAL SPREADS: Taking Advantage of Intrinsic Option Value
Advanced Option Trading Strategies: Lecture 1 Vertical Spreads – The simplest spread consists of buying one option and selling another to reduce the cost of the trade and participate in the directional movement of an underlying security. These trades are considered to be the easiest to implement and monitor. A vertical spread is intended to offer an improved opportunity to profit with reduced risk to the options trader. A vertical spread may be one of two basic types: (1) a debit vertical spread or (2) a credit vertical spread. Each of these two basic types can be written as either bullish or bearish positions. A debit spread is written when you expect the stock movement to occur over an intermediate or long- term period [60 to 120 days], whereas a credit spread is typically used when you want to take advantage of a short term stock price movement [60 days or less]. VERTICAL SPREADS: Taking Advantage of Intrinsic Option Value Debit Vertical Spreads Bull Call Spread During March, you decide that PFE is going to make a large up move over the next four months going into the Summer. This position is due to your research on the portfolio of drugs now in the pipeline and recent phase 3 trials that are going through FDA approval. PFE is currently trading at $27.92 [on March 12, 2013] per share, and you believe it will be at least $30 by June 21st, 2013. The following is the option chain listing on March 12th for PFE. View By Expiration: Mar 13 | Apr 13 | May 13 | Jun 13 | Sep 13 | Dec 13 | Jan 14 | Jan 15 Call Options Expire at close Friday, -
OPTION-BASED EQUITY STRATEGIES Roberto Obregon
MEKETA INVESTMENT GROUP BOSTON MA CHICAGO IL MIAMI FL PORTLAND OR SAN DIEGO CA LONDON UK OPTION-BASED EQUITY STRATEGIES Roberto Obregon MEKETA INVESTMENT GROUP 100 Lowder Brook Drive, Suite 1100 Westwood, MA 02090 meketagroup.com February 2018 MEKETA INVESTMENT GROUP 100 LOWDER BROOK DRIVE SUITE 1100 WESTWOOD MA 02090 781 471 3500 fax 781 471 3411 www.meketagroup.com MEKETA INVESTMENT GROUP OPTION-BASED EQUITY STRATEGIES ABSTRACT Options are derivatives contracts that provide investors the flexibility of constructing expected payoffs for their investment strategies. Option-based equity strategies incorporate the use of options with long positions in equities to achieve objectives such as drawdown protection and higher income. While the range of strategies available is wide, most strategies can be classified as insurance buying (net long options/volatility) or insurance selling (net short options/volatility). The existence of the Volatility Risk Premium, a market anomaly that causes put options to be overpriced relative to what an efficient pricing model expects, has led to an empirical outperformance of insurance selling strategies relative to insurance buying strategies. This paper explores whether, and to what extent, option-based equity strategies should be considered within the long-only equity investing toolkit, given that equity risk is still the main driver of returns for most of these strategies. It is important to note that while option-based strategies seek to design favorable payoffs, all such strategies involve trade-offs between expected payoffs and cost. BACKGROUND Options are derivatives1 contracts that give the holder the right, but not the obligation, to buy or sell an asset at a given point in time and at a pre-determined price. -
A Glossary of Securities and Financial Terms
A Glossary of Securities and Financial Terms (English to Traditional Chinese) 9-times Restriction Rule 九倍限制規則 24-spread rule 24 個價位規則 1 A AAAC see Academic and Accreditation Advisory Committee【SFC】 ABS see asset-backed securities ACCA see Association of Chartered Certified Accountants, The ACG see Asia-Pacific Central Securities Depository Group ACIHK see ACI-The Financial Markets of Hong Kong ADB see Asian Development Bank ADR see American depositary receipt AFTA see ASEAN Free Trade Area AGM see annual general meeting AIB see Audit Investigation Board AIM see Alternative Investment Market【UK】 AIMR see Association for Investment Management and Research AMCHAM see American Chamber of Commerce AMEX see American Stock Exchange AMS see Automatic Order Matching and Execution System AMS/2 see Automatic Order Matching and Execution System / Second Generation AMS/3 see Automatic Order Matching and Execution System / Third Generation ANNA see Association of National Numbering Agencies AOI see All Ordinaries Index AOSEF see Asian and Oceanian Stock Exchanges Federation APEC see Asia Pacific Economic Cooperation API see Application Programming Interface APRC see Asia Pacific Regional Committee of IOSCO ARM see adjustable rate mortgage ASAC see Asian Securities' Analysts Council ASC see Accounting Society of China 2 ASEAN see Association of South-East Asian Nations ASIC see Australian Securities and Investments Commission AST system see automated screen trading system ASX see Australian Stock Exchange ATI see Account Transfer Instruction ABF Hong -
Volatility As Investment - Crash Protection with Calendar Spreads of Variance Swaps
Journal of Applied Operational Research (2014) 6(4), 243–254 © Tadbir Operational Research Group Ltd. All rights reserved. www.tadbir.ca ISSN 1735-8523 (Print), ISSN 1927-0089 (Online) Volatility as investment - crash protection with calendar spreads of variance swaps Uwe Wystup 1,* and Qixiang Zhou 2 1 MathFinance AG, Frankfurt, Germany 2 Frankfurt School of Finance & Management, Germany Abstract. Nowadays, volatility is not only a risk measure but can be also considered an individual asset class. Variance swaps, one of the main investment vehicles, can obtain pure exposure on realized volatility. In normal market phases, implied volatility is often higher than the realized volatility will turn out to be. We present a volatility investment strategy that can benefit from both negative risk premium and correlation of variance swaps to the underlying stock index. The empirical evidence demonstrates a significant diversification effect during the financial crisis by adding this strategy to an existing portfolio consisting of 70% stocks and 30% bonds. The back-testing analysis includes the last ten years of history of the S&P500 and the EUROSTOXX50. Keywords: volatility; investment strategy; stock index; crash protection; variance swap * Received July 2014. Accepted November 2014 Introduction Volatility is an important variable of the financial market. The accurate measurement of volatility is important not only for investment but also as an integral part of risk management. Generally, there are two methods used to assess volatility: The first one entails the application of time series methods in order to make statistical conclusions based on historical data. Examples of this method are ARCH/GARCH models. -
Macquarie Dynamic Carry Bull/Bear Commodities Spread Index Index Manual January 2021
Macquarie Dynamic Carry Bull/Bear Commodities Spread Index Index Manual January 2021 1 NOTES AND DISCLAIMERS BASIS OF PROVISION This document (the Index Manual) sets out the rules for the Macquarie Dynamic Carry Bull/Bear Spread Commodities Index (the Index) and reflects the methodology for determining the composition and calculation of the Index (the Methodology). The Methodology and the Index derived from this Methodology are the exclusive property of Macquarie Bank Limited (the Index Administrator). The Index Administrator owns the copyright and all other rights to the Index. They have been provided to you solely for your internal use and you may not, without the prior written consent of the Index Administrator, distribute, reproduce, in whole or in part, summarize, quote from or otherwise publicly refer to the contents of the Methodology or use it as the basis of any financial instrument. SUITABILITY OF INDEX The Index and any financial instruments based on the Index may not be suitable for all investors and any investor must make an independent assessment of the appropriateness of any transaction in light of their own objectives and circumstances including the potential risks and benefits of entering into such a transaction. If you are in any doubt about any of the contents of this document, you should obtain independent professional advice. This Index Manual assumes the reader is a sophisticated financial market participant, with the knowledge and expertise to understand the financial mathematics and derived pricing formulae, as well as the trading concepts, described herein. Any financial instrument based on the Index is unsuitable for a retail or unsophisticated investor. -
De-Mystifying Derivatives
For institutional investor use only Pacific Investment Management Company LLC, 650 Newport Center Drive, Newport Beach, CA 92660, 949.720.6000 CMR2017-1103-299224 1 Define common derivative instruments used to manage fixed income portfolios Discuss the risks associated with these instruments and how they compare and differ from cash bonds Describe how derivatives are used in an effort to efficiently manage a portfolio’s risk profile and generate excess returns 2 • It’s a contract whereby two parties agree to exchange cashflows or to enter into a type of transaction in the future • A financial instrument that derives its value from movements in an underlying security • Includes futures, options, swaps • It can provide greater flexibility in structuring portfolios and many managers use them – Modify portfolio risk characteristics – Security substitution – Potential for alpha generation – May improve portfolio liquidity • Potential to leverage the portfolio • Inadequate monitoring of derivatives’ effect on portfolio risk characteristics • Counterparty and basis risk Source: PIMCO Refer to Appendix for additional investment strategy and risk information. 3 Cash instruments Risks Derivative instruments Interest Rate Futures / Governments Swaps Interest rate Options Mortgages Credit Volatility Interest Rate Credit Corporates Credit Default Swaps (CDS) Default Sample for illustrative purposes only Refer to Appendix for additional risk information. 4 A futures contract is a highly standardized agreement to exchange cash for an asset at a future date. An obligation to buy or sell a certain asset at a certain price on a certain day. Long position Short position Clearinghouse $ $ Coordinates cashflows and Party A takes the other side of the Party B Asset trade Asset Applications for futures Substitution Hedging Managing duration and curve exposure Sample for illustrative purposes only.