Download or read book Valuation of Vix Derivatives written by Javier Mencia and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We conduct an extensive empirical analysis of VIX derivative valuation models before, during and after the 2008-2009 fi nancial crisis. Since the restrictive mean reversion and heteroskedasticity features of existing models yield large distortions during the crisis, we propose generalisations with a time varying central tendency, jumps and stochastic volatility, analyse their pricing performance, and implications for term structures of VIX futures and volatility "skews". We find that a process for the log of the observed VIX combining central tendency and stochastic volatility reliably prices VIX derivatives. We also uncover a signi cant risk premium that shifts the long run volatility level.
Download or read book VIX Derivatives Valuation and Estimation Based on Closed Form Series Expansions written by Zhe Zhao and published by . This book was released on 2018 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new valuation and calibration method for VIX futures and VIX options is proposed. The method is based on a closed-form Hermite series expansion for a stochastic volatility model with the stochastic variance process driven by an affine drift term. We implement the methodology for the Heston and the mean-reverting CEV stochastic volatility models. A calibration exercise to real market data shows that the method is efficient, accurate, and suitable for practical implementation.
Download or read book Trading VIX Derivatives written by Russell Rhoads and published by John Wiley & Sons. This book was released on 2011-07-11 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to using the VIX to forecast and trade markets Known as the fear index, the VIX provides a snapshot of expectations about future stock market volatility and generally moves inversely to the overall stock market. Trading VIX Derivatives will show you how to use the Chicago Board Options Exchange's S&P 500 volatility index to gauge fear and greed in the market, use market volatility to your advantage, and hedge stock portfolios. Engaging and informative, this book skillfully explains the mechanics and strategies associated with trading VIX options, futures, exchange traded notes, and options on exchange traded notes. Many market participants look at the VIX to help understand market sentiment and predict turning points. With a slew of VIX index trading products now available, traders can use a variety of strategies to speculate outright on the direction of market volatility, but they can also utilize these products in conjunction with other instruments to create spread trades or hedge their overall risk. Reviews how to use the VIX to forecast market turning points, as well as reveals what it takes to implement trading strategies using VIX options, futures, and ETNs Accessible to active individual traders, but sufficiently sophisticated for professional traders Offers insights on how volatility-based strategies can be used to provide diversification and enhance returns Written by Russell Rhoads, a top instructor at the CBOE's Options Institute, this book reflects on the wide range of uses associated with the VIX and will interest anyone looking for profitable new forecasting and trading techniques.
Download or read book Pricing Models of Volatility Products and Exotic Variance Derivatives written by Yue Kuen Kwok and published by CRC Press. This book was released on 2022-05-08 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pricing Models of Volatility Products and Exotic Variance Derivatives summarizes most of the recent research results in pricing models of derivatives on discrete realized variance and VIX. The book begins with the presentation of volatility trading and uses of variance derivatives. It then moves on to discuss the robust replication strategy of variance swaps using portfolio of options, which is one of the major milestones in pricing theory of variance derivatives. The replication procedure provides the theoretical foundation of the construction of VIX. This book provides sound arguments for formulating the pricing models of variance derivatives and establishes formal proofs of various technical results. Illustrative numerical examples are included to show accuracy and effectiveness of analytic and approximation methods. Features Useful for practitioners and quants in the financial industry who need to make choices between various pricing models of variance derivatives Fabulous resource for researchers interested in pricing and hedging issues of variance derivatives and VIX products Can be used as a university textbook in a topic course on pricing variance derivatives
Download or read book The Fine Structure of Variance written by Nicole Branger and published by . This book was released on 2016 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: We analyze pricing models for VIX derivatives which account for the theoretical link to stock options, taking Log-VIX models as a benchmark. We focus on up to three risk factors to model variance risk. To assess the performance of the models, we do not only look at the pricing errors, but also at the level and dynamics of the VIX' risk-neutral moments which vary considerably over time. We find that both model classes, consistent- and Log-VIX models, can reproduce the empirical patterns if three risk factors are included. In both approaches, a stochastic central tendency is of first order importance to capture the term structure of VIX futures prices, i.e. the first moment of the risk-neutral distribution. A stochastic vol-of-vol then helps to match the prices of VIX options, i.e. the higher order moments. Finally, variance jumps add the finishing touches to the model performance. All in all, consistency comes at notable costs in-sample, while out-of-sample performances are close. We find that the main difference between both model classes is the ability to capture the second moment of the VIX risk-neutral distribution.
Download or read book The Effects of Asymmetric Volatility and Jumps on the Pricing of VIX Derivatives written by Yang-Ho Park and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Pricing Bounds for VIX Derivatives Via Least Squares Monte Carlo written by Ivan Guo and published by . This book was released on 2016 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Derivatives on the Chicago Board Options Exchange volatility index (VIX) have gained significant popularity over the last decade. The pricing of VIX derivatives involves evaluating the square root of the expected realised variance which cannot be computed by direct Monte Carlo methods. Least squares Monte Carlo methods can be used but the sign of the error is difficult to determine. In this paper, we propose new model independent upper and lower pricing bounds for VIX derivatives. In particular, we first present a general stochastic duality result on payoffs involving concave functions. This is then applied to VIX derivatives along with minor adjustments to handle issues caused by the square root function. The upper bound involves the evaluation of a variance swap, while the lower bound involves estimating a martingale increment corresponding to its hedging portfolio. Both can be achieved simultaneously using a single linear least square regression. Numerical results show that the method works very well for VIX futures, calls and puts under a wide range of parameter choices.
Download or read book The VIX Trader s Handbook written by Russell Rhoads and published by Harriman House Limited. This book was released on 2020-10-27 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Russell Rhoads is one of America’s leading experts on VIX, the Volatility Index. In The VIX Trader’s Handbook he takes a deep dive into all things associated with volatility indexes and related trading vehicles. The handbook begins with an explanation of what VIX is, how it is calculated, and why it behaves the way it does in various market environments. It also explains the various methods of getting exposure to volatility through listed markets. The focus then moves on to demonstrate how traders take advantage of various scenarios using futures, options, or ETPs linked to the performance of VIX. Finally, a comprehensive review is presented of volatility events that shook the markets, including the 1987 crash, Great Financial Crisis, 2010 flash crash, and the 2020 pandemic. By understanding how VIX behaved leading up to these market shocks, and reacted afterwards, traders can better equip themselves ahead of future events. A wide variety of strategies that are implemented in both bearish and bullish equity markets are introduced and covered extensively throughout. The VIX Trader’s Handbook is essential reading for all those who are intending to trade volatility—from those who wish to gain an understanding of how VIX and the related trading products behave, to those intending to hedge equity exposure or take advantage of the persistent overpricing of option volatility. You won’t want to trade volatility without it.
Download or read book Derivatives written by Robert E. Whaley and published by John Wiley & Sons. This book was released on 2007-02-26 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Whaley has more than twenty-five years of experience in the world of finance, and with this book he shares his hard-won knowledge in the field of derivatives with you. Divided into ten information-packed parts, Derivatives shows you how this financial tool can be used in practice to create risk management, valuation, and investment solutions that are appropriate for a variety of market situations.
Download or read book Exact Closed Form Formulas and Saddlepoint Approximation Methods for Pricing VIX Derivatives Under Alternative Stochastic Volatility Models written by Yue Wang and published by . This book was released on 2013 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book VIX and Volatility Derivatives written by Srinjoy Ganguly and published by . This book was released on 2015 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although it is relatively ...
Download or read book An Analysis on the Intraday Trading Activity of VIX Derivatives written by Dian-Xuan Kao and published by . This book was released on 2017 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: We investigate the relation between trading activity in the VIX derivative markets and changes in the VIX index under a high-frequency framework. We find a significant relation between the signed trading variables of VIX futures and the contemporaneous changes in the VIX index. In addition, the net signed trading variables of VIX futures are significant predictors of future changes in the VIX index. Our results provide support for the informational role of VIX futures and evidence that trading activity in VIX options is likely caused by temporary liquidity shocks rather than the likelihood of informed trading.
Download or read book Implied Volatility Functions written by Bernard Dumas and published by . This book was released on 1996 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: Black and Scholes (1973) implied volatilities tend to be systematically related to the option's exercise price and time to expiration. Derman and Kani (1994), Dupire (1994), and Rubinstein (1994) attribute this behavior to the fact that the Black-Scholes constant volatility assumption is violated in practice. These authors hypothesize that the volatility of the underlying asset's return is a deterministic function of the asset price and time and develop the deterministic volatility function (DVF) option valuation model, which has the potential of fitting the observed cross-section of option prices exactly. Using a sample of S & P 500 index options during the period June 1988 through December 1993, we evaluate the economic significance of the implied deterministic volatility function by examining the predictive and hedging performance of the DV option valuation model. We find that its performance is worse than that of an ad hoc Black-Scholes model with variable implied volatilities.
Download or read book Derivatives written by Jiří Witzany and published by Springer Nature. This book was released on 2020-11-04 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book helps students, researchers and quantitative finance practitioners to understand both basic and advanced topics in the valuation and modeling of financial and commodity derivatives, their institutional framework and risk management. It provides an overview of the new regulatory requirements such as Basel III, the Fundamental Review of the Trading Book (FRTB), Interest Rate Risk of the Banking Book (IRRBB), or the Internal Capital Assessment Process (ICAAP). The reader will also find a detailed treatment of counterparty credit risk, stochastic volatility estimation methods such as MCMC and Particle Filters, and the concepts of model-free volatility, VIX index definition and the related volatility trading. The book can also be used as a teaching material for university derivatives and financial engineering courses.
Download or read book Option Valuation Under Stochastic Volatility II written by Alan L. Lewis and published by . This book was released on 2016-05-12 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a sequel to the author's well-received "Option Valuation under Stochastic Volatility." It extends that work to jump-diffusions and many related topics in quantitative finance. Topics include spectral theory for jump-diffusions, boundary behavior for short-term interest rate models, modelling VIX options, inference theory, discrete dividends, and more. It provides approximately 750 pages of original research in 26 chapters, with 165 illustrations, Mathematica, and some C/C++ codes. The first 12 chapters (550 pages) are completely new. Also included are reprints of selected previous publications of the author for convenient reference. The book should interest both researchers and quantitatively-oriented investors and traders. First 12 chapters: Slow Reflection, Jump-Returns, & Short-term Interest Rates Spectral Theory for Jump-diffusions Joint Time Series Modelling of SPX and VIX Modelling VIX Options (and Futures) under Stochastic Volatility Stochastic Volatility as a Hidden Markov Model Continuous-time Inference: Mathematical Methods and Worked Examples A Closer Look at the Square-root and 3/2-model A Closer Look at the SABR Model Back to Basics: An Update on the Discrete Dividend Problem PDE Numerics without the Pain Exact Solution to Double Barrier Problems under a Class of Processes Advanced Smile Asymptotics: Geometry, Geodesics, and All That
Download or read book The VIX Index and Volatility Based Global Indexes and Trading Instruments A Guide to Investment and Trading Features written by Matthew T. Moran and published by CFA Institute Research Foundation. This book was released on 2020-04-28 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past two decades, the Cboe Volatility Index (VIX® Index), a key measure of investor sentiment and 30-day future volatility expectations, has generated much investor attention because of its unique and powerful features. The introduction of VIX futures in 2004, VIX options in 2006, and other volatility-related trading instruments provided traders and investors access to exchange-traded vehicles for taking long and short exposures to expected S&P 500 Index volatility for a particular time frame. Certain VIX-related tradable products may provide benefits when used as tools for tail-risk hedging, diversification, risk management, or alpha generation. Gauges of expected stock market volatility for various regions include the VIX Index (United States), AXVI Index (Australia), VHSI Index (Hong Kong), NVIX Index (India) and VSTOXX Index (Europe). All five of these volatility indexes had negative correlations with their related stock indexes price movements, and all five volatility indexes rose more than 50% in 2008. Although the five volatility indexes are not investable, investors can explore VIX-based benchmark indexes that show the performance of hypothetical investment strategies using VIX futures or options. Before investing in volatility-related products, investors should closely study the pricing, roll cost, and volatility features of the tradable products and read the applicable prospectuses and risk disclosure statements.
Download or read book Modeling Volatility Derivatives written by Justin P. Carr and published by . This book was released on 2011 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: The VIX was introduced in 1993 by the CBOE and has been commonly referred to as the fear gauge due to decreases in market sentiment leading market participants to purchase protection from declining asset prices. As market sentiment improves, declines in the VIX are generally observed. In reality the VIX measures the markets expectations about future volatility with asset prices either rising or falling in value. With the VIX gaining popularity in the marketplace a proliferation of derivative products has emerged allowing investors to trade volatility. In observance of the behavior of the VIX we attempt to model the derivative VXX as a mean reverting process via the Ornstein-Uhlenbeck stochastic differential equation. We extend this analysis by calibrating VIX options with observed market prices in order to extract the market density function. Using these parameters as the diffusion process in our Ornstein-Uhlenbeck model we derive futures prices on the VIX which serves to value our target derivative VXX.
