Variance Risk Premium and VIX Pricing

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Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (13 download)

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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.

Quantifying the Variance Risk Premium in VIX Options

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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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.

Inferring Volatility Dynamics and Risk Premia from the S&P 500 and VIX Markets

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Publisher :
ISBN 13 :
Total Pages : 69 pages
Book Rating : 4.:/5 (13 download)

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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.

The Volatility Smile

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Publisher : John Wiley & Sons
ISBN 13 : 1118959167
Total Pages : 528 pages
Book Rating : 4.1/5 (189 download)

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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.

The VIX, the Variance Premium and Stock Market Volatility

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (841 download)

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Book Synopsis The VIX, the Variance Premium and Stock Market Volatility by : Geert Bekaert

Download or read book The VIX, the Variance Premium and Stock Market Volatility written by Geert Bekaert and published by . This book was released on 2013 with total page 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. The latter is increasing in risk aversion in a wide variety of economic settings. We tackle several measurement issues assessing a plethora of state-of-the-art volatility forecasting models. We then examine the predictive power of the VIX and its two components for stock market returns and economic activity. The variance premium predicts stock returns but the conditional stock market variance predicts economic activity, and is more contemporaneously correlated with financial instability than is the variance premium.

Risk Premia and the VIX Term Structure

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ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.:/5 (13 download)

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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.

Options and the Volatility Risk Premium

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Publisher : Pearson Education
ISBN 13 : 0132756129
Total Pages : 49 pages
Book Rating : 4.1/5 (327 download)

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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....

Volatility of Volatility, Expected Stock Return and Variance Risk Premium

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Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (13 download)

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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.

Variance and Skew Risk Premiums for the Volatility Market

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ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (13 download)

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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.

Pricing Models of Volatility Products and Exotic Variance Derivatives

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Publisher : CRC Press
ISBN 13 : 1000584275
Total Pages : 402 pages
Book Rating : 4.0/5 (5 download)

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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 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

The Variance Risk Premium

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ISBN 13 :
Total Pages : 39 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis The Variance Risk Premium by : Junye Li

Download or read book The Variance Risk Premium written by Junye Li and published by . This book was released on 2016 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper examines the properties of the variance risk premium (VRP). We propose a flexible asset pricing model that captures co-jumps in prices and volatility, and self-exciting jump clustering. We estimate the model on equity returns and variance swap rates at different horizons. The total VRP is negative and has a downward-sloping term structure, while its jump component displays an upward-sloping term structure. The abrupt and persistent response of the short-term jump VRP to extreme events makes this specific premium a proxy for investors' fear of a market crash. Furthermore, the use of the VRP level and slope, and of its components, helps improve the short-run predictability of equity excess returns.

Asset Pricing Implications of Volatility Term Structure Risk

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Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Asset Pricing Implications of Volatility Term Structure Risk by : Chen Xie

Download or read book Asset Pricing Implications of Volatility Term Structure Risk written by Chen Xie and published by . This book was released on 2014 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: I find that stocks with high sensitivities to changes in the VIX slope exhibit high returns on average. The price of VIX slope risk is approximately 2.5% annually, statistically significant and cannot be explained by other common factors, such as the market excess return, size, book-to-market, momentum, liquidity, market volatility, and the variance risk premium. I provide a theoretical model that supports my empirical results. The model extends current rare disaster models to include disasters of different lengths. My model implies that a downward sloping VIX term structure anticipates a potential long disaster and vice versa.

Volatility and Time Series Econometrics

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Publisher : Oxford University Press
ISBN 13 : 0199549494
Total Pages : 432 pages
Book Rating : 4.1/5 (995 download)

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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

The Fine Structure of Variance

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Publisher :
ISBN 13 :
Total Pages : 63 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis The Fine Structure of Variance by : Nicole Branger

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.

General Equilibrium Option Pricing Method: Theoretical and Empirical Study

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Publisher : Springer
ISBN 13 : 9789811339509
Total Pages : 164 pages
Book Rating : 4.3/5 (395 download)

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Book Synopsis General Equilibrium Option Pricing Method: Theoretical and Empirical Study by : Jian Chen

Download or read book General Equilibrium Option Pricing Method: Theoretical and Empirical Study written by Jian Chen and published by Springer. This book was released on 2018-12-29 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book mainly addresses the general equilibrium asset pricing method in two aspects: option pricing and variance risk premium. First, volatility smile and smirk is the famous puzzle in option pricing. Different from no arbitrage method, this book applies the general equilibrium approach in explaining the puzzle. In the presence of jump, investors impose more weights on the jump risk than the volatility risk, and as a result, investors require more jump risk premium which generates a pronounced volatility smirk. Second, based on the general equilibrium framework, this book proposes variance risk premium and empirically tests its predictive power for international stock market returns.

Variance Dynamics

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ISBN 13 :
Total Pages : 43 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Variance Dynamics by : Liuren Wu

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.

Trading VIX Derivatives

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Publisher : John Wiley & Sons
ISBN 13 : 0470933089
Total Pages : 293 pages
Book Rating : 4.4/5 (79 download)

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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.