A Glossary of Securities and Financial Terms
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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. -
A Guide for Investors
A GUIDE FOR INVESTORS CONTENTS INTRODUCTION 5 MAIN RISKS 7 Business risk or intrinsic risk 7 Economic risk 7 1 Inflation risk 7 Country risk 7 Currency risk 7 Liquidity risk 7 Psychological risk 7 Credit risk 7 Counterparty risk 8 Additional risks associated with emerging markets 8 Other main risks 8 BRIEF DESCRIPTION OF CERTAIN TYPES OF INVESTMENT AND SPECIFIC ASSOCIATED RISKS 9 Time deposits 9 2 Bonds 9 A. Characteristics of classic bonds 9 B. Convertible bonds 9 C. CoCo type bonds 9 D. Risks 9 Equities 10 A. Characteristics 10 B. Risks 10 Derivatives 10 A. Options 11 B. Warrants 11 C. Futures 11 D. Risks 11 Structured products 11 A. Characteristics 11 B. Risks 11 C. Reverse convertibles 11 Investment funds 12 A. General risks 12 B. Categories 12 1. Money market funds 12 2. Bond funds 12 3. Equity funds 12 4. Diversified/profiled funds 12 5. Special types of funds 12 A. Sector funds 12 B. Trackers 12 C. Absolute return funds 13 Page 3 of 21 CONTENTS D. Alternative funds 13 1. Hedge funds 13 2. Alternative funds of funds 13 E. Offshore funds 13 F. Venture capital or private equity funds 14 Private Equity 14 A. Caracteristics 14 B. Risks 14 1. Risk of capital loss 14 2. Liquidity risk 14 3. Risk related to the valuation of securities 14 4. Risk related to investments in unlisted companies 14 5. Credit risk 14 6. Risk related to “mezzanine” financing instruments 14 7. Interest rate and currency risks 14 8. Risk related to investment by commitment 15 3 GLOSSARY 16 Any investment involves the taking of risk. -
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. -
3. VALUATION of BONDS and STOCK Investors Corporation
3. VALUATION OF BONDS AND STOCK Objectives: After reading this chapter, you should be able to: 1. Understand the role of stocks and bonds in the financial markets. 2. Calculate value of a bond and a share of stock using proper formulas. 3.1 Acquisition of Capital Corporations, big and small, need capital to do their business. The investors provide the capital to a corporation. A company may need a new factory to manufacture its products, or an airline a few more planes to expand into new territory. The firm acquires the money needed to build the factory or to buy the new planes from investors. The investors, of course, want a return on their investment. Therefore, we may visualize the relationship between the corporation and the investors as follows: Capital Investors Corporation Return on investment Fig. 3.1: The relationship between the investors and a corporation. Capital comes in two forms: debt capital and equity capital. To raise debt capital the companies sell bonds to the public, and to raise equity capital the corporation sells the stock of the company. Both stock and bonds are financial instruments and they have a certain intrinsic value. Instead of selling directly to the public, a corporation usually sells its stock and bonds through an intermediary. An investment bank acts as an agent between the corporation and the public. Also known as underwriters, they raise the capital for a firm and charge a fee for their services. The underwriters may sell $100 million worth of bonds to the public, but deliver only $95 million to the issuing corporation. -
Summary Prospectus
Summary Prospectus KFA Dynamic Fixed Income ETF Principal Listing Exchange for the Fund: NYSE Arca, Inc. Ticker Symbol: KDFI August 1, 2021 Before you invest, you may want to review the Fund’s Prospectus, which contains more information about the Fund and its risks. You can find the Fund’s Prospectus, Statement of Additional Information, recent reports to shareholders, and other information about the Fund online at www.kfafunds.com. You can also get this information at no cost by calling 1-855-857-2638, by sending an e-mail request to [email protected] or by asking any financial intermediary that offers shares of the Fund. The Fund’s Prospectus and Statement of Additional Information, each dated August 1, 2021, as each may be amended or supplemented from time to time, and recent reports to shareholders, are incorporated by reference into this Summary Prospectus and may be obtained, free of charge, at the website, phone number or email address noted above. As permitted by regulations adopted by the Securities and Exchange Commission, paper copies of the Funds’ shareholder reports will no longer be sent by mail, unless you specifically request paper copies of the reports from the Funds (if you hold your Fund shares directly with the Funds) or from your financial intermediary, such as a broker-dealer or bank (if you hold your Fund shares through a financial intermediary). Instead, the reports will be made available on a website, and you will be notified by mail each time a report is posted and provided with a website link to access the report. -
Sales Representatives Manual 2020
Sales Representatives Manual Volume 4 2020 Volume 4 Table of Contents Chapter 1 Overview of Derivatives Transactions ………… 1 Chapter 2 Products of Derivatives Transactions ……………99 Derivatives Transactions and Chapter 3 Articles of Association and ……………… 165 Various Rules of the Association Exercise (Class-1 Examination) ……………………………………… 173 Chapter 1 Overview of Derivatives Transactions Introduction ∙∙∙∙∙∙∙∙ 3 Section 1. Fundamentals of Derivatives Transactions ∙∙∙∙∙∙∙∙ 10 1.1 What Are Derivatives Transactions? ∙∙∙∙∙∙∙∙ 10 Section 2. Futures Transactions ∙∙∙∙∙∙∙∙ 10 2.1 What Are Futures Transactions? ∙∙∙∙∙∙∙∙ 10 2.2 Futures Price Formation ∙∙∙∙∙∙∙∙ 14 2.3 How to Use Futures Transactions ∙∙∙∙∙∙∙∙ 17 Section 3. Forward Transactions ∙∙∙∙∙∙∙∙ 24 3.1 What Are Forward Transactions? ∙∙∙∙∙∙∙∙ 24 Section 4. Option Transactions ∙∙∙∙∙∙∙∙ 25 4.1 What Are Options Transactions? ∙∙∙∙∙∙∙∙ 25 4.2 Options’ Price Formation ∙∙∙∙∙∙∙∙ 32 4.3 Characteristics of Options Premiums ∙∙∙∙∙∙∙∙ 36 4.4 Sensitivity of Premiums to the Respective Factors ∙∙∙∙∙∙∙∙ 38 4.5 How to Use Options ∙∙∙∙∙∙∙∙ 46 4.6 Option Pricing Theory ∙∙∙∙∙∙∙∙ 57 Section 5. Swap Transactions ∙∙∙∙∙∙∙∙ 63 5.1 What Are Swap Transactions? ∙∙∙∙∙∙∙∙ 63 Section 6. Risks in Derivatives Transactions ∙∙∙∙∙∙∙∙ 72 Conclusion ∙∙∙∙∙∙∙∙ 82 Introduction Introduction 1. History of Derivatives Transactions Chapter 1 The term “derivatives” is used for financial instruments that “derive” from financial assets, meaning those that have securities such as shares or bonds as their underlying assets or financial transactions that use a reference indicator such as interest rates or exchange rates. Today the term “derivative” is used widely throughout society and not just on the financial markets. Although there has been criticism that they amplify financial risks and have a harmful impact on the Chapter 2 economy, derivatives are an indispensable requirement in supporting finance in the present age, and have become accepted as the leading edge of financial innovation. -
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. -
The Promise and Peril of Real Options
1 The Promise and Peril of Real Options Aswath Damodaran Stern School of Business 44 West Fourth Street New York, NY 10012 [email protected] 2 Abstract In recent years, practitioners and academics have made the argument that traditional discounted cash flow models do a poor job of capturing the value of the options embedded in many corporate actions. They have noted that these options need to be not only considered explicitly and valued, but also that the value of these options can be substantial. In fact, many investments and acquisitions that would not be justifiable otherwise will be value enhancing, if the options embedded in them are considered. In this paper, we examine the merits of this argument. While it is certainly true that there are options embedded in many actions, we consider the conditions that have to be met for these options to have value. We also develop a series of applied examples, where we attempt to value these options and consider the effect on investment, financing and valuation decisions. 3 In finance, the discounted cash flow model operates as the basic framework for most analysis. In investment analysis, for instance, the conventional view is that the net present value of a project is the measure of the value that it will add to the firm taking it. Thus, investing in a positive (negative) net present value project will increase (decrease) value. In capital structure decisions, a financing mix that minimizes the cost of capital, without impairing operating cash flows, increases firm value and is therefore viewed as the optimal mix. -
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, -
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. -
Pricing and Hedging of American Knock-In Options
Pricing and Hedging of American Knock-In Options FARID AITSAHLIA, LORENS IMHOF, AND TZE LEUNG LAI FARID AITSAHLIA American barrier options of the knock-in type involve as they do not have closed-form solutions, is a senior scientist at non-Markouian optimal stopping problems for early unlike their European-style counterparts (see DemandTec in Stanford, CA. exercise. They therefore cannot be priced via stan- Merton [1973] and Rubinstein and Reiner farid @stat.stanford.edu dard methods such as binomial or trinomial trees [1991]). LORENS IMHOF and finite-difference schemes for free-boundary par- Naive application of the Cox-Ross- is an assistant professor at tial differential equations. Rubinstein binomial tree method for barrier Institut ftir Statistik und options has been shown by Boyle and Lau Wirtschaftsniathematik in This article provides a modified tree method to [1994] to yield inaccurate values, even with Aachen, Germany. price these options. It also develops fast and accu- many steps. To address this problem, which [email protected] rate analytic approximations for the price and hedge stems from the position of the barrier relative TZE LEUNG LAI parameters. to the grid, a number of variants of the tree is a professor of statistics at method have been advanced. Stanford University. omplex derivatives have become Ritchken [1995] implements a trinomial [email protected] accepted instruments to tailor risk tree method. Cheuk and Vorst [1996| develop coverage for risk managers and a time-dependent shift for the trinomial tree, Cinvestors. Barrier-type options and Figlewski and Gao [1999[ introduce an have become important instruments, particu- adaptive mesh model that grafts high-resolution larly for the valuation of structured products lattices around points that cause the inaccuracies (see Banks [1994]). -
Section 4. Complex Strategies
Section 4. Complex strategies This section will discuss the more complex option strategies and will present examples of these strategies. The previous section covered the simpler option trading strategies, mainly the buying and selling of puts and calls. These simpler strategies are usually thought of as very aggressive strategies, with high profit potential on the long side and large risk on the short side. This section will examine option positions which are structured by combining options of different terms, put and call options, or options and stock positions. Because they provide reduced risk, some of these strategies are much more conservative than the simpler strategies. It is of the utmost importance that the trader understand the risk/reward characteristics of any strategy that he or she is considering. A Note about Commissions Because the more complex strategies involve multiple positions, commission costs can be substantial. For this reason, it is advantageous to keep commissions as low as possible through the use of discount brokers, etc. Margin For covered positions, the user can elect to use margin for the purchase of stock. When Use margin is selected, Cash Outlay will Note only include the margin requirement for the stock and Cash ROI is Margin rates can be viewed based on the margin requirement rather than the full value of the and/or modified through the stock. Margin Criteria page of Certain of the complex option strategies are credit positions. That is, Broker/Margin Properties at the time the position is entered, a net credit is received. In this respect, they are similar to the naked write option strategies discussed in the previous section in that the option trader does not make a cash investment.