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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. -
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. -
Tracking and Trading Volatility 155
ffirs.qxd 9/12/06 2:37 PM Page i The Index Trading Course Workbook www.rasabourse.com ffirs.qxd 9/12/06 2:37 PM Page ii Founded in 1807, John Wiley & Sons is the oldest independent publishing company in the United States. With offices in North America, Europe, Aus- tralia, and Asia, Wiley is globally committed to developing and marketing print and electronic products and services for our customers’ professional and personal knowledge and understanding. The Wiley Trading series features books by traders who have survived the market’s ever changing temperament and have prospered—some by reinventing systems, others by getting back to basics. Whether a novice trader, professional, or somewhere in-between, these books will provide the advice and strategies needed to prosper today and well into the future. For a list of available titles, visit our web site at www.WileyFinance.com. www.rasabourse.com ffirs.qxd 9/12/06 2:37 PM Page iii The Index Trading Course Workbook Step-by-Step Exercises and Tests to Help You Master The Index Trading Course GEORGE A. FONTANILLS TOM GENTILE John Wiley & Sons, Inc. www.rasabourse.com ffirs.qxd 9/12/06 2:37 PM Page iv Copyright © 2006 by George A. Fontanills, Tom Gentile, and Richard Cawood. All rights reserved. Published by John Wiley & Sons, Inc., Hoboken, New Jersey. Published simultaneously in Canada. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 646-8600, or on the web at www.copyright.com. -
The Information Content of Put Warrant Issues
The Information Content of Put Warrant Issues Scott Gibson a Paul Povel b Rajdeep Singh b February 2006 a Department of Economics and Finance, School of Business, College of William and Mary, Williamsburg, VA 23187. b Department of Finance, Carlson School of Management, University of Minnesota, 321 19th Avenue South, Minneapolis, MN 55455. Email: [email protected] (Gibson), [email protected] (Povel) and [email protected] (Singh). We are grateful to Sugato Bhattacharyya, Francesca Cornelli, Gustavo Grullon, Dirk Jenter, Jack Kareken, Ross Levine, Bob McDonald, Roni Michaely, Sheridan Titman, Andrew Winton, and seminar participants at the 11th annual Financial Economics and Accounting conference at Ann Arbor, MI, and at University of Minnesota and Cornell University for their helpful comments. The Information Content of Put Warrant Issues Abstract We analyze why ¯rms may want to issue put warrants, i.e., promises to repurchase their own shares at a given price in the future. We describe four alternative explanations, one of which is novel: that put warrants are issued by ¯rms that wish to signal their good future prospects to their investors (who undervalue the ¯rms in the eyes of their managers). We test the validity of the four alternative explanations, using a new, hand-collected data set on put warrant issues in the U.S. between 1993 and 1999. We ¯nd evidence that is inconsistent with three of the four explanations. Only the signaling explanation is consistent with the empirical evidence. Put warrant issuers strongly outperform their peers in the years after the put warrant issues; they enjoy valuable and improving investment opportunities, and they invest heavily. -
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. -
Marketing Brochure
For marketing purposes only Turbo Warrants Shift up a gear Turbo Warrants allow investors to bet on the price of an underlying asset rising or falling. They offer considerable leverage for a small capital commitment. You only pay a fraction of the price of the underlying but participate fully in its performance in absolute terms. Contents The benefits of Turbo Warrants 4 Features and key terms 5 How Turbo Call Warrants work 6 How Turbo Put Warrants work 12 How Open End Turbo Warrants work 15 Hedging with Turbo Put Warrants 17 Summary 18 Turbo Warrants: power for the portfolio Turbo Warrants are products that offer considerable Ideal for hedging. Because of their leverage, Turbo leverage for a small capital commitment. They combine the Warrants can not only be used for speculative purposes, benefits of traditional warrants and futures without any of they are also a low-cost instrument for portfolio hedging. their specific drawbacks. Unlike with normal warrants, volatility only plays a minor role. This means that the price Flexible trading. Under normal market conditions, Turbo of a Turbo Warrant is easy to understand. Also, the Warrants can be bought and sold on every stock exchange maximum loss is limited to the amount invested. Unlike trading day. This allows you to react quickly and flexibly to with futures, there is no obligation to provide further changes in the market. capital. Large selection. Turbo Warrants can be used in a wide range of situations. The underlying assets may be shares, What Turbo Warrants offer you equity indices, commodities or currency pairs. -
307439 Ferdig Master Thesis
Master's Thesis Using Derivatives And Structured Products To Enhance Investment Performance In A Low-Yielding Environment - COPENHAGEN BUSINESS SCHOOL - MSc Finance And Investments Maria Gjelsvik Berg P˚al-AndreasIversen Supervisor: Søren Plesner Date Of Submission: 28.04.2017 Characters (Ink. Space): 189.349 Pages: 114 ABSTRACT This paper provides an investigation of retail investors' possibility to enhance their investment performance in a low-yielding environment by using derivatives. The current low-yielding financial market makes safe investments in traditional vehicles, such as money market funds and safe bonds, close to zero- or even negative-yielding. Some retail investors are therefore in need of alternative investment vehicles that can enhance their performance. By conducting Monte Carlo simulations and difference in mean testing, we test for enhancement in performance for investors using option strategies, relative to investors investing in the S&P 500 index. This paper contributes to previous papers by emphasizing the downside risk and asymmetry in return distributions to a larger extent. We find several option strategies to outperform the benchmark, implying that performance enhancement is achievable by trading derivatives. The result is however strongly dependent on the investors' ability to choose the right option strategy, both in terms of correctly anticipated market movements and the net premium received or paid to enter the strategy. 1 Contents Chapter 1 - Introduction4 Problem Statement................................6 Methodology...................................7 Limitations....................................7 Literature Review.................................8 Structure..................................... 12 Chapter 2 - Theory 14 Low-Yielding Environment............................ 14 How Are People Affected By A Low-Yield Environment?........ 16 Low-Yield Environment's Impact On The Stock Market........ -
Users/Robertjfrey/Documents/Work
AMS 511.01 - Foundations Class 11A Robert J. Frey Research Professor Stony Brook University, Applied Mathematics and Statistics [email protected] http://www.ams.sunysb.edu/~frey/ In this lecture we will cover the pricing and use of derivative securities, covering Chapters 10 and 12 in Luenberger’s text. April, 2007 1. The Binomial Option Pricing Model 1.1 – General Single Step Solution The geometric binomial model has many advantages. First, over a reasonable number of steps it represents a surprisingly realistic model of price dynamics. Second, the state price equations at each step can be expressed in a form indpendent of S(t) and those equations are simple enough to solve in closed form. 1+r D-1 u 1 1 + r D 1 + r D y y ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ = u fl u = 1+r D u-1 u 1+r-u 1 u 1 u yd yd ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ1+r D ÅÅÅÅÅÅÅÅ1 uêÅÅÅÅ-ÅÅÅÅu ÅÅ H L H ê L i y As we will see shortlyH weL Hwill solveL the general problemj by solving a zsequence of single step problems on the lattice. That K O K O K O K O j H L H ê L z sequence solutions can be efficientlyê computed because wej only have to zsolve for the state prices once. k { 1.2 – Valuing an Option with One Period to Expiration Let the current value of a stock be S(t) = 105 and let there be a call option with unknown price C(t) on the stock with a strike price of 100 that expires the next three month period. -
A Fundamental Introduction to Japanese Candlestick Charting
© Copyright 2018 TheoTrade, LLC. All Rights Reserved 1 TRADE LIKE THE FLOUNDER An overview to Matt’s trading style, methods, thoughts, and insights © Copyright 2018 TheoTrade, LLC. All Rights Reserved 2 Acronyms and Shorthand Cheat Sheet • PnL – Profit and Loss (P. and L. → P n L) • IV – implied volatility • IRA – Individual Retirement Account • Vol – Volatility (typically, IMPLIED volatility) • DTE – Days to Expiration • Roll – move an option from one strike and/or expiration to a different strike and/or expiration • ATM/ITM/OTM/DITM – At the Money, In the Money, Out of the Money, DEEP in the Money • Legging – trading a piece of a spread by itself instead of the whole spread • Skew – the difference between supply/demand (or IV) at different strikes or expirations • Front month – the shorter-dated contract of a multiple-expiration spread • Back month – the longer-dated contract of a multiple-expiration spread • Opex – Option expiration © Copyright 2018 TheoTrade, LLC. All Rights Reserved 3 PART 1 – WHAT KIND OF TRADER AM I? Vehicle, products, time frames, structures, targets, etc. © Copyright 2018 TheoTrade, LLC. All Rights Reserved 4 What do I prefer to trade? Ask most people that question, they will tell you what PRODUCTS they like to trade (GOOG, AAPL, VIX, etc.) but before you settle on a product, learn WHAT you’re trading. Things you can trade: Direction (up or down) Volatility (IV vs. HV) Correlation/Relative Strength/Beta (Pairs Trading) Mispricing/Difference in pricing (Pure arbitrage) Order Flow (HFT) M&A/Special Situations (Merger Arb) Almost ALL retail traders trade direction. I primarily trade volatility. -
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,