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Jump And Volatility Risk Premiums Implied By Vix
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Book Synopsis Jump and Volatility Risk Premiums Implied by VIX. by : Jin-Chuan Duan
Download or read book Jump and Volatility Risk Premiums Implied by VIX. written by Jin-Chuan Duan and published by . This book was released on 2011 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: An estimation method is developed for extracting the latent stochastic volatility from VIX, a volatility index for the Samp;P 500 index return produced by the Chicago Board Options Exchange (CBOE) using the so-called model-free volatility construction. Our model specification encompasses all mean-reverting stochastic volatility option pricing models with a constant-elasticity of variance and those allowing for price jumps under stochastic volatility. Our approach is made possible by linking the latent volatility to the VIX index via a new theoretical relationship under the risk-neutral measure. Because option prices are not directly used in estimation, we can avoid the computational burden associated with option valuation for stochastic volatility/jump option pricing models. Our empirical findings are: (1) incorporating a jump risk factor is critically important; (2) the jump and volatility risks are priced; and (3) the popular square-root stochastic volatility process is a poor model specification irrespective of allowing for price jumps or not.
Book Synopsis Volatility of Volatility and Tail Risk Premiums by : Yang-ho Park
Download or read book Volatility of Volatility and Tail Risk Premiums written by Yang-ho Park and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Jump and Volatility Risk and Risk Premia by : Pedro Santa-Clara
Download or read book Jump and Volatility Risk and Risk Premia written by Pedro Santa-Clara and published by . This book was released on 2004 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: We use a novel pricing model to filter times series of diffusive volatility and jump intensity from S&P 500 index options. These two measures capture the ex-ante risk assessed by investors. We find that both components of risk vary substantially over time, are quite persistent, and correlate with each other and with the stock index. Using a simple general equilibrium model with a representative investor, we translate the filtered measures of ex-ante risk into an ex-ante risk premium. We find that the average premium that compensates the investor for the risks implicit in option prices, 10.1 percent, is about twice the premium required to compensate the same investor for the realized volatility, 5.8 percent. Moreover, the ex-ante equity premium that we uncover is highly volatile, with values between 2 and 32 percent. The component of the premium that corresponds to the jump risk varies between 0 and 12 percent.
Book Synopsis The VIX Index and Volatility-Based Global Indexes and Trading Instruments: A Guide to Investment and Trading Features by : Matthew T. Moran
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.
Book Synopsis Volatility-of-Volatility and Tail Risk Hedging Returns by : Yang-Ho Park
Download or read book Volatility-of-Volatility and Tail Risk Hedging Returns written by Yang-Ho Park and published by . This book was released on 2015 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper reports that the volatility-of-volatility implied by VIX options has predictability for tail risk hedging returns. Specifically, an increase in the volatility-of-volatility as measured by the VVIX index raises current prices of tail risk hedging options, such as S&P 500 puts and VIX calls, and lowers their subsequent returns over the next three to four weeks. The results are robust to jump risk, skewness, kurtosis, option liquidity, variance risk premium, and limit of arbitrage. The predictability can be explained by either risk premiums for a time-varying crash risk factor or uncertainty premiums for a time-varying uncertain belief in volatility.
Book Synopsis Construction and Interpretation of Model-free Implied Volatility by : Torben G. Andersen
Download or read book Construction and Interpretation of Model-free Implied Volatility written by Torben G. Andersen and published by . This book was released on 2007 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of model-free implied volatility (MFIV), constituting the basis for the highly publicized VIX volatility index, can be hard to measure with accuracy due to the lack of precise prices for options with strikes in the tails of the return distribution. This is reflected in practice as the VIX index is computed through a tail-truncation which renders it more compatible with the related concept of corridor implied volatility (CIV). We provide a comprehensive derivation of the CIV measure and relate it to MFIV under general assumptions. In addition, we price the various volatility contracts, and hence estimate the corresponding volatility measures, under the standard Black-Scholes model. Finally, we undertake the first empirical exploration of the CIV measures in the literature. Our results indicate that the measure can help us refine and systematize the information embedded in the derivatives markets. As such, the CIV measure may serve as a tool to facilitate empirical analysis of both volatility forecasting and volatility risk pricing across distinct future states of the world for diverse asset categories and time horizons.
Book Synopsis Predicting the VIX and the Volatility Risk Premium by : Elena Andreou
Download or read book Predicting the VIX and the Volatility Risk Premium written by Elena Andreou and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Model-Free Volatility Indexes in the Financial Literature by : Maria T. Gonzalez-Perez
Download or read book Model-Free Volatility Indexes in the Financial Literature written by Maria T. Gonzalez-Perez and published by . This book was released on 2013 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: This article describes the primary uses of the VIX index in the financial literature, offering for the first time a joint view of its successes and failures in key financial areas. VIX is a model-free volatility index that measures the investor "fear" gauge due to its significant and negative relationship with S &P 500 return dynamics, which justifies its use as a proxy for market risk and volatility. This article focuses on the most frequent uses of VIX, namely, as (1) a financial product to hedge a portfolio against volatility risk; (2) a market risk measure used to analyze risk flows from financial markets and to relate private and public risks; and (3) a volatility measure to estimate the spot volatility dynamics, the volatility risk premium and volatility jumps. This survey offers an entre for researchers who consider VIX as a proxy for volatility and/or risk.
Book Synopsis Implied Volatilities as Forecasts of Future Volatility, Time-Varying Risk Premia, and Returns Variability by : Mikhail Chernov
Download or read book Implied Volatilities as Forecasts of Future Volatility, Time-Varying Risk Premia, and Returns Variability written by Mikhail Chernov and published by . This book was released on 2002 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unbiasedness tests of implied volatility as a forecast of future realized volatility have found implied volatility to be a biased predictor. We explain this puzzle by recognizing that option prices contain a market risk premium not only on the asset itself, but also on its volatility. Hull and White (1987) show using a stochastic volatility model that a call option price can be represented as an expected value of the Black-Scholes formula evaluated at the average integrated volatility. If we allow volatility risk to be priced, this expectation should be taken under the risk-neutral probability measure, and can be decomposed into the expectation with respect to the physical measure and the risk-premium term. This term is just a linear function of the unobservable spot volatility. The decomposition explains the bias documented in the empirical literature and shows that the realized and historical volatility, which are used in the tests, are in fact the estimates of the unobserved quadratic variation and spot volatility of the stock-return generating process. Therefore, the use of these estimates generates the error-in-the-variables problem. We generalize the above results from a stochastic volatility model to a model with multiple volatility and jump factors. We provide an empirical illustration based on two US equity indices and three foreign currency rates. We find, that when we take into an account the risk-premium and use efficient methods to estimate volatility, the unbiasedness hypothesis can not be rejected, and the point estimate of the loading on the implied volatility in the traditional regression is equal to 1.
Book Synopsis Predicting the VIX and Volatility Risk Premium by : Elena Andreou
Download or read book Predicting the VIX and Volatility Risk Premium written by Elena Andreou and published by . This book was released on 2014 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents an innovative approach to extracting factors which are shown to predict the VIX, the S&P 500 Realized Volatility and the Variance Risk Premium. The approach is innovative along two different dimensions, namely: (1) we extract factors from panels of filtered volatilities -- in particular large panels of univariate financial asset ARCH-type models and (2) we price equity volatility risk using factors which go beyond the equity class. These are volatility factors extracted from panels of volatilities of short-term funding and long-run corporate spreads as well as volatilities of energy and metals commodities returns and sport/future spreads.
Book Synopsis Jump-diffusion Long-run Risks Models, Variance Risk Premium and Volatility Dynamics by : Jianjian Jin
Download or read book Jump-diffusion Long-run Risks Models, Variance Risk Premium and Volatility Dynamics written by Jianjian Jin and published by . This book was released on 2013 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Implied Volatility Risk Premiums by : Bas Peeters
Download or read book Implied Volatility Risk Premiums written by Bas Peeters and published by . This book was released on 2008 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: We incorporate risk premiums for stochastic implied volatility in an arbitrage-free model describing the joint dynamics of options and the security underlying these options. As this model directly describes the implied volatility surface, it also captures dynamics exclusively residing in the option markets. Because an arbitrage-free multi-factor description of this model has yet to be developed, we specify to a stochastic implied volatility model with a single factor determining the dynamics of the implied volatility. Parameters in this model are estimated for several markets, and for the Samp;P 500 the resulting implied volatility risk premium is compared to risk premium estimates from models that describe the instantaneous volatility.
Book Synopsis Pricing Models of Volatility Products and Exotic Variance Derivatives by : Yue Kuen Kwok
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 283 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
Book Synopsis Volatility and Time Series Econometrics by : Mark Watson
Download or read book Volatility and Time Series Econometrics written by Mark Watson and published by Oxford University Press. This book was released on 2010-02-11 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: A volume that celebrates and develops the work of Nobel Laureate Robert Engle, it includes original contributions from some of the world's leading econometricians that further Engle's work in time series economics
Book Synopsis Variance and Skew Risk Premiums for the Volatility Market by : José Da Fonseca
Download or read book Variance and Skew Risk Premiums for the Volatility Market written by José Da Fonseca and published by . This book was released on 2017 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: We extract variance and skew risk premiums from volatility derivatives in a model-free way and analyze their relationships along with volatility index and equity index returns. These risk premiums can be synthesized through option trading strategies. Using a time series of option prices on the VIX, the most liquid volatility derivative market, we find that variance swap excess return can be partially explained by volatility index and equity index excess returns while these latter variables carry little information for the skew swap excess return. The results sharply contrast with those obtained for the equity index option market underlining very specific characteristics of the volatility derivative market.
Book Synopsis Modelling Financial Time Series by : Stephen J. Taylor
Download or read book Modelling Financial Time Series written by Stephen J. Taylor and published by World Scientific. This book was released on 2008 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several innovative models for the prices of financial assets. First published in 1986, it is a classic text in the area of financial econometrics. It presents ARCH and stochastic volatility models that are often used and cited in academic research and are applied by quantitative analysts in many banks. Another often-cited contribution of the first edition is the documentation of statistical characteristics of financial returns, which are referred to as stylized facts. This second edition takes into account the remarkable progress made by empirical researchers during the past two decades from 1986 to 2006. In the new Preface, the author summarizes this progress in two key areas: firstly, measuring, modelling and forecasting volatility; and secondly, detecting and exploiting price trends. Sample Chapter(s). Chapter 1: Introduction (1,134 KB). Contents: Features of Financial Returns; Modelling Price Volatility; Forecasting Standard Deviations; The Accuracy of Autocorrelation Estimates; Testing the Random Walk Hypothesis; Forecasting Trends in Prices; Evidence Against the Efficiency of Futures Markets; Valuing Options; Appendix: A Computer Program for Modelling Financial Time Series. Readership: Academic researchers in finance & economics; quantitative analysts.
Book Synopsis Trading VIX Derivatives by : Russell Rhoads
Download or read book Trading VIX Derivatives written by Russell Rhoads and published by John Wiley & Sons. This book was released on 2011-08-09 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.
