Download or read book A Closed Form Approach to Valuing Risk Neutral Moments from Option Prices written by Aristogenis Lazos and published by . This book was released on 2018 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper develops closed-form solutions for the finite integrals in the volatility, cubic and quartic contracts in Bakshi, Kapadia and Madan (2003) which avoid discretization errors and do not involve interpolation and extrapolation. It compares the accuracy of the closed-form approach with the popular interpolation-extrapolation approach in the literature. Our results show that the closed-form approach provides more accurate estimates for skewness. This holds across different option pricing models and parameterization which have been shown to be favourable for the interpolation-extrapolation approach. Finally, our results show that the closed-form approach always extracts expectations consistent with the term structure of the volatility smirk whereas the interpolation-extrapolation approach fails several times.
Download or read book Option Implied Risk Neutral Distributions and Risk Aversion written by Jens Carsten Jackwerth and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Time Series Approach to Option Pricing written by Christophe Chorro and published by Springer. This book was released on 2014-12-04 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The current world financial scene indicates at an intertwined and interdependent relationship between financial market activity and economic health. This book explains how the economic messages delivered by the dynamic evolution of financial asset returns are strongly related to option prices. The Black Scholes framework is introduced and by underlining its shortcomings, an alternative approach is presented that has emerged over the past ten years of academic research, an approach that is much more grounded on a realistic statistical analysis of data rather than on ad hoc tractable continuous time option pricing models. The reader then learns what it takes to understand and implement these option pricing models based on time series analysis in a self-contained way. The discussion covers modeling choices available to the quantitative analyst, as well as the tools to decide upon a particular model based on the historical datasets of financial returns. The reader is then guided into numerical deduction of option prices from these models and illustrations with real examples are used to reflect the accuracy of the approach using datasets of options on equity indices.
Download or read book Preference free Option Pricing with Path dependent Volatility written by Steven L. Heston and published by . This book was released on 1998 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Option Pricing and Higher Order Moments of the Risk neutral Probability Density Function written by Lawrence Edward Kochard and published by . This book was released on 1999 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Implied Volatility Surface written by and published by . This book was released on 2001 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Retrieving Risk Neutral Moments and Expected Quadratic Variation from Option Prices written by Leonidas Rompolis and published by . This book was released on 2017 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper derives exact formulas for retrieving risk neutral moments of future payoffs of any order from generic European-style option prices. It also provides an exact formula for retrieving the expected quadratic variation of the stock market implied by European option prices, which nowadays is used as an estimate of the implied volatility, and a formula approximating the jump component of this measure of variation. To implement the above formulas to discrete sets of option prices, the paper suggests a numerical procedure and provides upper bounds of its approximation errors. The performance of this procedure is evaluated through a simulation and an empirical exercise. Both of these exercises clearly indicate that the suggested numerical procedure can provide accurate estimates of the risk neutral moments, over different horizons ahead. These can be in turn employed to obtain accurate estimates of risk neutral densities and calculate option prices, efficiently, in a model-free manner. The paper also shows that, in contrast to the prevailing view, ignoring the jump component of the underlying asset can lead to seriously biased estimates of the new volatility index suggested by the Chicago Board Options Exchange (CBOE).
Download or read book An Implicit Martingale Restriction in a Closed Form Higher Order Moments Option Pricing Formula Based on Multipoint Pad Approximants written by Guillaume Bagnarosa and published by . This book was released on 2018 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this paper is to develop a new non-parametric method to price options based on normalized Multipoint Padé Approximants. Following the seminal paper of Padé (1892), we propose to approximate the risk-neutral distribution by a rational function of polynomials that can accommodate the asymmetric and leptokurtic characteristics of the implied state price densities. After recalling the general framework of Padé Approximants we present an analytical formula where we use a power series expansion of the risk-neutral density in order to infer the coefficients of the rational function of polynomials. A suitable alternative to this method will be to use various points of local expansion, resulting from the capability of the Padé to respect such a confluence. By manipulating the base option pricing formula with risk-neutral density (see Cox and Ross, 1976), both of these methods is implicitly satisfying the martingale constraint (see Longstaff, 1995 and Jurczenko, et al., 2006). We then investigate from simulated option prices the shape of the risk-neutral density Padé approximations to compare their radius of convergence.
Download or read book Extracting Risk Neutral Density and Its Moments from American Option Prices written by Yisong S. Tian and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been a surge in the use of option-implied moments (e.g., volatility, skewness and kurtosis) in various empirical applications such as volatility forecasting, variance risk premium, empirical asset pricing, and portfolio selection. One potential obstacle in such applications is the requirement of European option prices in the estimation of these moments. In this paper, we develop a simple, accurate method for extracting risk-neutral density and its moments from American option prices. A key advantage of our approach is that a single implied binomial tree is constructed to fit all American option prices, utilizing the full information set in the entire options market. Since American options are more commonly traded than European options, our methodology expands the scope of research on option-implied density and moments to a much wider class of underlying assets (e.g., equity and futures options).
Download or read book Option Pricing Models and Volatility Using Excel VBA written by Fabrice D. Rouah and published by John Wiley & Sons. This book was released on 2012-06-15 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive guide offers traders, quants, and students the tools and techniques for using advanced models for pricing options. The accompanying website includes data files, such as options prices, stock prices, or index prices, as well as all of the codes needed to use the option and volatility models described in the book. Praise for Option Pricing Models & Volatility Using Excel-VBA "Excel is already a great pedagogical tool for teaching option valuation and risk management. But the VBA routines in this book elevate Excel to an industrial-strength financial engineering toolbox. I have no doubt that it will become hugely successful as a reference for option traders and risk managers." —Peter Christoffersen, Associate Professor of Finance, Desautels Faculty of Management, McGill University "This book is filled with methodology and techniques on how to implement option pricing and volatility models in VBA. The book takes an in-depth look into how to implement the Heston and Heston and Nandi models and includes an entire chapter on parameter estimation, but this is just the tip of the iceberg. Everyone interested in derivatives should have this book in their personal library." —Espen Gaarder Haug, option trader, philosopher, and author of Derivatives Models on Models "I am impressed. This is an important book because it is the first book to cover the modern generation of option models, including stochastic volatility and GARCH." —Steven L. Heston, Assistant Professor of Finance, R.H. Smith School of Business, University of Maryland
Download or read book Stochastic volatility and the pricing of financial derivatives written by Antoine Petrus Cornelius van der Ploeg and published by Rozenberg Publishers. This book was released on 2006 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Volatility written by Neil Shephard and published by Oxford University Press, USA. This book was released on 2005 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic volatility is the main concept used in the fields of financial economics and mathematical finance to deal with time-varying volatility in financial markets. This work brings together some of the main papers that have influenced this field, andshows that the development of this subject has been highly multidisciplinary.
Download or read book A Simplified Discrete Time Approach for the Pricing of Derivative Securities with Stochastic Interest Rates written by Kaushik I. Amin and published by . This book was released on 1990 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Real Options Analysis written by Johnathan Mun and published by John Wiley & Sons. This book was released on 2012-07-02 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mun demystifies real options analysis and delivers a powerful, pragmatic guide for decision-makers and practitioners alike. Finally, there is a book that equips professionals to easily recognize, value, and seize real options in the world around them." --Jim Schreckengast, Senior VP, R&D Strategy, Gemplus International SA, France Completely revised and updated to meet the challenges of today's dynamic business environment, Real Options Analysis, Second Edition offers you a fresh look at evaluating capital investment strategies by taking the strategic decision-making process into consideration. This comprehensive guide provides both a qualitative and quantitative description of real options; the methods used in solving real options; why and when they are used; and the applicability of these methods in decision making.
Download or read book Risk Management and Simulation written by Aparna Gupta and published by CRC Press. This book was released on 2016-04-19 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: The challenges of the current financial environment have revealed the need for a new generation of professionals who combine training in traditional finance disciplines with an understanding of sophisticated quantitative and analytical tools. Risk Management and Simulation shows how simulation modeling and analysis can help you solve risk managemen
Download or read book Applications of Fourier Transform to Smile Modeling written by Jianwei Zhu and published by Springer Science & Business Media. This book was released on 2009-10-03 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the applications of Fourier transform to smile modeling. Smile effect is used generically by ?nancial engineers and risk managers to refer to the inconsistences of quoted implied volatilities in ?nancial markets, or more mat- matically, to the leptokurtic distributions of ?nancial assets and indices. Therefore, a sound modeling of smile effect is the central challenge in quantitative ?nance. Since more than one decade, Fourier transform has triggered a technical revolution in option pricing theory. Almost all new developed option pricing models, es- cially in connection with stochastic volatility and random jump, have extensively applied Fourier transform and the corresponding inverse transform to express - tion pricing formulas. The large accommodation of the Fourier transform allows for a very convenient modeling with a general class of stochastic processes and d- tributions. This book is then intended to present a comprehensive treatment of the Fourier transform in the option valuation, covering the most stochastic factors such as stochastic volatilities and interest rates, Poisson and Levy ́ jumps, including some asset classes such as equity, FX and interest rates, and providing numerical ex- ples and prototype programming codes. I hope that readers will bene?t from this book not only by gaining an overview of the advanced theory and the vast large l- erature on these topics, but also by gaining a ?rst-hand feedback from the practice on the applications and implementations of the theory.
Download or read book Risk Neutral Valuation written by Nicholas H. Bingham and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition - completely up to date with new exercises - provides a comprehensive and self-contained treatment of the probabilistic theory behind the risk-neutral valuation principle and its application to the pricing and hedging of financial derivatives. On the probabilistic side, both discrete- and continuous-time stochastic processes are treated, with special emphasis on martingale theory, stochastic integration and change-of-measure techniques. Based on firm probabilistic foundations, general properties of discrete- and continuous-time financial market models are discussed.
