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Quantifying The Variance Risk Premium In Vix Options
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Book Synopsis Quantifying the Variance Risk Premium in VIX Options by : Amir Barnea
Download or read book Quantifying the Variance Risk Premium in VIX Options written by Amir Barnea and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper uses synthetically created variance swaps on VIX futures to quantify the variance risk premium in VIX options. The results of this methodology suggest that the average premium is -3.26%, meaning that the realized variance on VIX futures is on average less than the variance implied by the swap rate. This premium does not vary with time or the level of the swap rate as much as premiums in other asset classes. A negative risk premium implies that VIX option strategies that are net credit should be profitable.
Book Synopsis Variance Risk Premiums by : Peter Carr
Download or read book Variance Risk Premiums written by Peter Carr and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We propose a direct and robust method for quantifying the variance risk premium on financial assets. We show that the risk-neutral expected value of return variance, also known as the variance swap rate, is well approximated by the value of a particular portfolio of options. We propose to use the difference between the realized variance and this synthetic variance swap rate to quantify the variance risk premium. Using a large options data set, we synthesize variance swap rates and investigate the historical behavior of variance risk premiums on five stock indexes and 35 individual stocks.
Book Synopsis Options and the Volatility Risk Premium by : Jared Woodard
Download or read book Options and the Volatility Risk Premium written by Jared Woodard and published by Pearson Education. This book was released on 2011-02-17 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master the new edge in options trades: the hidden volatility risk premium that exists in options for every major asset class. One of the most exciting areas of recent financial research has been the study of how the volatility implied by option prices relates to the volatility exhibited by their underlying assets. Here, I’ll explain the concept of the volatility risk premium, present evidence for its presence in options on every major asset class, and show how to estimate, predict, and trade on it....
Download or read book Variance Dynamics written by Liuren Wu and published by . This book was released on 2005 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a portfolio of options on Samp;P 500 index, the Chicago Board of Options Exchange constructs a volatility index named VIX that approximates the 30-day return variance swap rate on the index. Using high-frequency return data, researchers have proposed various return quadratic variation estimators. This paper estimates the index return variance dynamics and variance risk premium jointly from the VIX index and various quadratic variation estimators constructed from tick data on Samp;P 500 index futures. Estimation shows that the index return variance jumps. The jump arrival rate is not constant over time, but proportional to the variance rate level. Furthermore, jumps in the index return variance are not rare events, but arrive frequently and generate sample paths that show infinite variation. Estimation also identifies a strongly negative variance risk premium, the absolute magnitude of which is proportional to the variance rate level. Finally, the estimation highlights the importance and necessity for removing microstructure noise in estimating quadratic variations.
Book Synopsis Inferring Volatility Dynamics and Risk Premia from the S&P 500 and VIX Markets by : Chris Bardgett
Download or read book Inferring Volatility Dynamics and Risk Premia from the S&P 500 and VIX Markets written by Chris Bardgett and published by . This book was released on 2017 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper shows that the VIX market contains information that is not already contained by the S&P 500 market on the variance of the S&P 500 returns. We estimate a flexible affine model based on a joint time series of underlying indexes and option prices on both markets. We find that including VIX option prices in the model estimation allows better identification of the parameters driving the risk-neutral conditional distributions and term structure of volatility, thereby enhancing the estimation of the variance risk premium. We gain new insights on the properties of the premium's term structure and show how they can be used to form trading signals. Finally, our premium has better predictive power than the usual model-free estimate and the higher-order moments of its term structure allow improving forecasts of S&P 500 returns.
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 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 The VIX, the Variance Premium and Stock Market Volatility by :
Download or read book The VIX, the Variance Premium and Stock Market Volatility written by and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We decompose the squared VIX index, derived from US S & P500 options prices, into the conditional variance of stock returns and the equity variance premium. We evaluate a plethora of state-of-the-art volatility forecasting models to produce an accurate measure of the conditional variance. We then examine the predictive power of the VIX and its two components for stock market returns, economic activity and financial instability. The variance premium predicts stock returns while the conditional stock market variance predicts economic activity and has a relatively higher predictive power for financial instability than does the variance premium.
Book Synopsis The Volatility Smile by : Emanuel Derman
Download or read book The Volatility Smile written by Emanuel Derman and published by John Wiley & Sons. This book was released on 2016-09-06 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Volatility Smile The Black-Scholes-Merton option model was the greatest innovation of 20th century finance, and remains the most widely applied theory in all of finance. Despite this success, the model is fundamentally at odds with the observed behavior of option markets: a graph of implied volatilities against strike will typically display a curve or skew, which practitioners refer to as the smile, and which the model cannot explain. Option valuation is not a solved problem, and the past forty years have witnessed an abundance of new models that try to reconcile theory with markets. The Volatility Smile presents a unified treatment of the Black-Scholes-Merton model and the more advanced models that have replaced it. It is also a book about the principles of financial valuation and how to apply them. Celebrated author and quant Emanuel Derman and Michael B. Miller explain not just the mathematics but the ideas behind the models. By examining the foundations, the implementation, and the pros and cons of various models, and by carefully exploring their derivations and their assumptions, readers will learn not only how to handle the volatility smile but how to evaluate and build their own financial models. Topics covered include: The principles of valuation Static and dynamic replication The Black-Scholes-Merton model Hedging strategies Transaction costs The behavior of the volatility smile Implied distributions Local volatility models Stochastic volatility models Jump-diffusion models The first half of the book, Chapters 1 through 13, can serve as a standalone textbook for a course on option valuation and the Black-Scholes-Merton model, presenting the principles of financial modeling, several derivations of the model, and a detailed discussion of how it is used in practice. The second half focuses on the behavior of the volatility smile, and, in conjunction with the first half, can be used for as the basis for a more advanced course.
Book Synopsis Volatility of Volatility, Expected Stock Return and Variance Risk Premium by : Ruoyang Wang
Download or read book Volatility of Volatility, Expected Stock Return and Variance Risk Premium written by Ruoyang Wang and published by . This book was released on 2015 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory suggests a relationship between both volatility of volatility, variance risk premium, and the equity risk premium. We empirically investigate the relationship between volatility of volatility and the equity risk premium, and the relationship between the variance risk premium and the equity risk premium. We find that volatility of volatility alone explains 5 to 10% of the total variation of equity risk premium, and together with VIX data, it explains more than 20% of the total variation of equity premium. We fail to find a significant relationship between volatility of volatility and the variance risk premium.We use six measures of volatility of volatility based on non-parametric models, a GARCH model and VVIX data.
Book Synopsis Risk Premia and the VIX Term Structure by : Travis L. Johnson
Download or read book Risk Premia and the VIX Term Structure written by Travis L. Johnson and published by . This book was released on 2018 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: The shape of the VIX term structure conveys information about the price of variance risk rather than expected changes in the VIX, a rejection of the expectations hypothesis. A single principal component, Slope, summarizes nearly all this information, predicting the excess returns of S&P 500 variance swaps, VIX futures, and S&P 500 straddles for all maturities and to the exclusion of the rest of the term structure. Slope's predictability is incremental to other proxies for the conditional variance risk premia, is economically significant, and can only partially be explained by variations in observable risk measures.
Book Synopsis Volatility Trading by : Euan Sinclair
Download or read book Volatility Trading written by Euan Sinclair and published by John Wiley & Sons. This book was released on 2013-03-18 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Popular guide to options pricing and position sizing for quant traders In this second edition of this bestselling book, Sinclair offers a quantitative model for measuring volatility in order to gain an edge in everyday option trading endeavors. With an accessible, straightforward approach, he guides traders through the basics of option pricing, volatility measurement, hedging, money management, and trade evaluation. This new edition includes new chapters on the dynamics of realized and implied volatilities, trading the variance premium and using options to trade special situations in equity markets. Filled with volatility models including brand new option trades for quant traders Options trader Euan Sinclair specializes in the design and implementation of quantitative trading strategies Volatility Trading, Second Edition + Website outlines strategies for defining a true edge in the market using options to trade volatility profitably.
Book Synopsis Variance Risk Premium Demystified by : Grigory Vilkov
Download or read book Variance Risk Premium Demystified written by Grigory Vilkov and published by . This book was released on 2008 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the dynamics and cross-sectional properties of the variance risk premia embedded in options on stocks and indices, approximated by the synthetic variance swap returns. Several important stylized facts and contributions arise. First, variance risk premia for indices are systematically larger (more negative) than for individual securities. Second, there are systematic cross-sectional differences in the price of variance in individual stocks. Linking variance swaps to firm size/book-to-market, and stock turnover characteristics, an investor gains access to several lucrative long-short strategies with Sharpe Ratios around 2.85. Third, principal component analysis reveals at most one important factor driving both stock and variance swap returns, which corresponds to the traditional market factor. For the remainder of the dynamics, the stock and its variance processes are nearly linearly independent. Fourth, we find the leverage effect through analysis of the relationship between the variance risk premium and stock to variance correlation. The systematic (market factor) part of the leverage effect provides additional evidence of the existence of one factor common to both variance swaps and stocks, but the contribution of the market risk premium to the total variance premium is very small. These findings stress the importance of using variance-based instruments in the portfolio of an investor.
Book Synopsis Expected VIX Option Returns by : Zhaogang Song
Download or read book Expected VIX Option Returns written by Zhaogang Song and published by . This book was released on 2016 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: We dissect the fine structure of volatility risks, as an important component of time-varying investment opportunities, by studying returns on VIX option portfolios. In particular, we provide model-free evidence regarding the two leading channels in modeling volatility risks: stochastic volatility-of-volatility and volatility jumps. We find that zero-delta straddles and delta-hedged portfolios of VIX options, which are neutral to changes in VIX but sensitive to volatility-of-volatility, underperform zero. In contrast, tail portfolios, which we construct by out-of-the-money and at-the-money VIX options and are only sensitive to tails risks of volatility, outperform zero. Therefore, risks in volatility-of-volatility and jump-induced volatility tails are priced, providing empirical support for both of the two leading channels. We further construct measures for volatility-of-volatility and volatility tail risks, by the whole set of out-of-the-money VIX options, to understand how they are priced relative to variance and equity risk premiums. We find that both measures predict short-horizon market returns, with the predictability from volatility-of-volatility risks subsumed by the variance premium but the volatility tail risk standing as a separate channel. Different from existing tail risk measures of merely market returns, our volatility tail index provides important information regarding how investors gauge the extreme volatility risks.
Book Synopsis Variance Risk Premium and VIX Pricing by : Qiang Liu
Download or read book Variance Risk Premium and VIX Pricing written by Qiang Liu and published by . This book was released on 2015 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper assesses variance risk premium and forecasts out-of-sample VIX under GARCH(1,1), GJR, and Heston-Nandi models. With the date-t GARCH parameters estimated in a moving window fashion from 3,500 daily returns of the S&P 500 index, a hypothetical date-t VIX turns out to be below the market VIX by 10.1~29.6% on average between January 1996 and January 2012. The out-of-sample underestimation could be interpreted as variance risk premium. Furthermore, parameters in conjectured formulas can be calibrated by the market VIX of Date t-1; these risk-neutral parameters forecast the date-t VIX accurately with errors of not more than 0.2% on average.
Book Synopsis Trading Volatility by : Colin Bennett
Download or read book Trading Volatility written by Colin Bennett and published by . This book was released on 2014-08-17 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This publication aims to fill the void between books providing an introduction to derivatives, and advanced books whose target audience are members of quantitative modelling community. In order to appeal to the widest audience, this publication tries to assume the least amount of prior knowledge. The content quickly moves onto more advanced subjects in order to concentrate on more practical and advanced topics. "A master piece to learn in a nutshell all the essentials about volatility with a practical and lively approach. A must read!" Carole Bernard, Equity Derivatives Specialist at Bloomberg "This book could be seen as the 'volatility bible'!" Markus-Alexander Flesch, Head of Sales & Marketing at Eurex "I highly recommend this book both for those new to the equity derivatives business, and for more advanced readers. The balance between theory and practice is struck At-The-Money" Paul Stephens, Head of Institutional Marketing at CBOE "One of the best resources out there for the volatility community" Paul Britton, CEO and Founder of Capstone Investment Advisors "Colin has managed to convey often complex derivative and volatility concepts with an admirable simplicity, a welcome change from the all-too-dense tomes one usually finds on the subject" Edmund Shing PhD, former Proprietary Trader at BNP Paribas "In a crowded space, Colin has supplied a useful and concise guide" Gary Delany, Director Europe at the Options Industry Council
Book Synopsis How Does the Market Variance Risk Premium Vary Over Time? Evidence from S&P 500 Variance Swap Investment Returns by : Eirini Konstantinidi
Download or read book How Does the Market Variance Risk Premium Vary Over Time? Evidence from S&P 500 Variance Swap Investment Returns written by Eirini Konstantinidi and published by . This book was released on 2015 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: We explore whether the market variance risk premium (VRP) can be predicted. We measure VRP by distinguishing the investment horizon from the variance swap's maturity. We extract VRP from actual S&P 500 variance swap quotes and we test four classes of predictive models. We find that the best performing model is the one that conditions on trading activity. This relation is also economically significant. Volatility trading strategies which condition on trading activity outperform popular benchmark strategies, even once we consider transaction costs. Our finding implies that broker dealers command a greater VRP to continue holding short positions in index options in the case where trading conditions deteriorate.
