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:

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.

Download or read book TAIL RISK HEDGING Creating Robust Portfolios for Volatile Markets written by Vineer Bhansali and published by McGraw Hill Professional. This book was released on 2013-12-27 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: "TAIL RISKS" originate from the failure of mean reversion and the idealized bell curve of asset returns, which assumes that highly probable outcomes occur near the center of the curve and that unlikely occurrences, good and bad, happen rarely, if at all, at either "tail" of the curve. Ever since the global financial crisis, protecting investments against these severe tail events has become a priority for investors and money managers, but it is something Vineer Bhansali and his team at PIMCO have been doing for over a decade. In one of the first comprehensive and rigorous books ever written on tail risk hedging, he lays out a systematic approach to protecting portfolios from, and potentially benefiting from, rare yet severe market outcomes. Tail Risk Hedging is built on the author's practical experience applying macroeconomic forecasting and quantitative modeling techniques across asset markets. Using empirical data and charts, he explains the consequences of diversification failure in tail events and how to manage portfolios when this happens. He provides an easy-to-use, yet rigorous framework for protecting investment portfolios against tail risk and using tail hedging to play offense. Tail Risk Hedging explores how to: Generate profits from volatility and illiquidity during tail-risk events in equity and credit markets Buy attractively priced tail hedges that add value to a portfolio and quantify basis risk Interpret the psychology of investors in option pricing and portfolio construction Customize explicit hedges for retirement investments Hedge risk factors such as duration risk and inflation risk Managing tail risk is today's most significant development in risk management, and this thorough guide helps you access every aspect of it. With the time-tested and mathematically rigorous strategies described here, including pieces of computer code, you get access to insights to help mitigate portfolio losses in significant downturns, create explosive liquidity while unhedged participants are forced to sell, and create more aggressive yet tail-risk-focused portfolios. The book also gives you a unique, higher level view of how tail risk is related to investing in alternatives, and of derivatives such as zerocost collars and variance swaps. Volatility and tail risks are here to stay, and so should your clients' wealth when you use Tail Risk Hedging for managing portfolios. PRAISE FOR TAIL RISK HEDGING: "Managing, mitigating, and even exploiting the risk of bad times are the most important concerns in investments. Bhansali puts tail risk hedging and tail risk management under a microscope--pricing, implementation, and showing how we can fine-tune our risk exposures, which are all crucial ways in how we can better weather our bad times." -- ANDREW ANG, Ann F. Kaplan Professor of Business at Columbia University "This book is critical and accessible reading for fiduciaries, financial consultants and investors interested in both theoretical foundations and practical considerations for how to frame hedging downside risk in portfolios. It is a tremendous resource for anyone involved in asset allocation today." -- CHRISTOPHER C. GECZY, Ph.D., Academic Director, Wharton Wealth Management Initiative and Adj. Associate Professor of Finance, The Wharton School "Bhansali's book demonstrates how tail risk hedging can work, be concretely implemented, and lead to higher returns so that it is possible to have your cake and eat it too! A must read for the savvy investor." -- DIDIER SORNETTE, Professor on the Chair of Entrepreneurial Risks, ETH Zurich

Download or read book What Does the Volatility Risk Premium Say About Liquidity Provision and Demand for Hedging Tail Risk written by Jianqing Fan and published by . This book was released on 2016 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper provides a data-driven analysis of the volatility risk premium, using tools from high-frequency finance and Big Data analytics. We argue that the volatility risk premium, loosely defined as the difference between realized and implied volatility, can best be understood when viewed as a systematically priced bias. We first use ultra-high-frequency transaction data on SPDRs and a novel approach for estimating integrated volatility on the frequency domain to compute realized volatility. From that we subtract the daily VIX, our measure of implied volatility, to construct a time series of the volatility risk premium. To identify the factors behind the volatility risk premium as a priced bias we decompose it into magnitude and direction. We find compelling evidence that the magnitude of the deviation of the realized volatility from implied volatility represents supply and demand imbalances in the market for hedging tail risk. It is difficult to conclusively accept the hypothesis that the direction or sign of the volatility risk premium reflects expectations about future levels of volatility. However, evidence supports the hypothesis that the sign of the volatility risk premium is indicative of gains or losses on a delta-hedged portfolio.

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.

Download or read book Volatility Vs Tail Risk written by James X. Xiong and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Research that has led to what is known as the “low volatility anomaly” in cross-sectional stocks from a similar universe indicates that volatility is not compensated with a “volatility” premium. We find evidence of a risk premium, but it depends on the definition or measure of risk. “Tail risk” measures the probability of having significant losses and should be what investors care about the most. We investigated several risk measures, including volatility and tail risk, and found that volatility is not compensated but tail risk is compensated with higher expected return in both U.S. and non-U.S. equity funds.

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 Empirical Asset Pricing written by Wayne Ferson and published by MIT Press. This book was released on 2019-03-12 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the theory and methods of empirical asset pricing, integrating classical foundations with recent developments. This book offers a comprehensive advanced introduction to asset pricing, the study of models for the prices and returns of various securities. The focus is empirical, emphasizing how the models relate to the data. The book offers a uniquely integrated treatment, combining classical foundations with more recent developments in the literature and relating some of the material to applications in investment management. It covers the theory of empirical asset pricing, the main empirical methods, and a range of applied topics. The book introduces the theory of empirical asset pricing through three main paradigms: mean variance analysis, stochastic discount factors, and beta pricing models. It describes empirical methods, beginning with the generalized method of moments (GMM) and viewing other methods as special cases of GMM; offers a comprehensive review of fund performance evaluation; and presents selected applied topics, including a substantial chapter on predictability in asset markets that covers predicting the level of returns, volatility and higher moments, and predicting cross-sectional differences in returns. Other chapters cover production-based asset pricing, long-run risk models, the Campbell-Shiller approximation, the debate on covariance versus characteristics, and the relation of volatility to the cross-section of stock returns. An extensive reference section captures the current state of the field. The book is intended for use by graduate students in finance and economics; it can also serve as a reference for professionals.

Download or read book Dynamic Asset Pricing Theory written by Darrell Duffie and published by Princeton University Press. This book was released on 2010-01-27 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thoroughly updated edition of Dynamic Asset Pricing Theory, the standard text for doctoral students and researchers on the theory of asset pricing and portfolio selection in multiperiod settings under uncertainty. The asset pricing results are based on the three increasingly restrictive assumptions: absence of arbitrage, single-agent optimality, and equilibrium. These results are unified with two key concepts, state prices and martingales. Technicalities are given relatively little emphasis, so as to draw connections between these concepts and to make plain the similarities between discrete and continuous-time models. Readers will be particularly intrigued by this latest edition's most significant new feature: a chapter on corporate securities that offers alternative approaches to the valuation of corporate debt. Also, while much of the continuous-time portion of the theory is based on Brownian motion, this third edition introduces jumps--for example, those associated with Poisson arrivals--in order to accommodate surprise events such as bond defaults. Applications include term-structure models, derivative valuation, and hedging methods. Numerical methods covered include Monte Carlo simulation and finite-difference solutions for partial differential equations. Each chapter provides extensive problem exercises and notes to the literature. A system of appendixes reviews the necessary mathematical concepts. And references have been updated throughout. With this new edition, Dynamic Asset Pricing Theory remains at the head of the field.

Download or read book Unperturbed by Volatility written by Florent Segonne and published by . This book was released on 2019-01-21 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Central to all investment allocation and risk management is being clear on what risks one is being compensated for in the reward delivered. In an era of increasingly interlaced markets, assessing this correctly is paramount, but often used measures such as volatility can in practice be inadequate and misleading without other serious and often more important considerations. Unperturbed by Volatility takes a deep look at the essential features of real-world financial markets, analyzing the strengths and the limitations of various metrics, techniques and methods, where these can be tweaked to work, where metrics such as volatility break down, and where in practice we must seek constructions that make such errors manageable. Primary themes also include the limits of data, and the role of market extremes - both up and down and in both risk and opportunity. Relevant issues are diagnosed within a consistent framework that forces market realities to the fore and from which useful conclusions can be drawn. All available market instruments are put to full use. Unperturbed by Volatility is built on strong theoretical grounds and practical insights. Drawing on applicable elements from diverse quantitative disciplines, from probability theory to statistical tools to quantitative finance and others, the book requires some prior knowledge but its delivery is not heavily mathematical. The simple, robust and useful is given preference over the technically fancy. The book serves as a reference and source of ideas and intuition for quantitative traders, portfolio managers, risk managers, financial economists and regulatory professionals, amongst others, as well as researchers in related areas.

Download or read book Option Implied Volatility Risks written by Hendrik Hülsbusch and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Risk Premia written by Yves Lemperiere and published by . This book was released on 2014 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present extensive evidence that "Risk Premium" is strongly correlated with tail-risk skewness, but very little with volatility. We introduce a new, intuitive definition of skewness, and elicit a linear relationship between the Sharpe ratio of various risk premium strategies (Equity, Fama-French, FX Carry, short vol, bonds, credit) and their negative skewness. We find a clear exception to this rule: Trend Following (and perhaps the Fama-French "High minus Low"), that has positive skewness and positive excess return, suggesting that some strategies are not risk premia, but genuine market anomalies. Based on our results, we propose an objective criterion to assess the quality of a risk premium portfolio.

Download or read book Risk Based and Factor Investing written by Emmanuel Jurczenko and published by Elsevier. This book was released on 2015-11-24 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of recent articles written by leading academics and practitioners in the area of risk-based and factor investing (RBFI). The articles are intended to introduce readers to some of the latest, cutting edge research encountered by academics and professionals dealing with RBFI solutions. Together the authors detail both alternative non-return based portfolio construction techniques and investing style risk premia strategies. Each chapter deals with new methods of building strategic and tactical risk-based portfolios, constructing and combining systematic factor strategies and assessing the related rules-based investment performances. This book can assist portfolio managers, asset owners, consultants, academics and students who wish to further their understanding of the science and art of risk-based and factor investing. Contains up-to-date research from the areas of RBFI Features contributions from leading academics and practitioners in this field Features discussions of new methods of building strategic and tactical risk-based portfolios for practitioners, academics and students

Download or read book The Missing Risk Premium written by Eric G. Falkenstein and published by Createspace Independent Publishing Platform. This book was released on 2012-08-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Risk is the deviation from the consensus rather than an exposure to a covariance, and this implies there is no risk premium in general. It also implies that when there are a large number of people buying highly volatile assets, such assets will have negative returns in equilibrium. As there are several independent motivations for people to buy highly volatile assets, intuitively risky assets generally have lower-than-average returns. This novel conception of risk implies many things more consistent with the data than the current theory. Risk taking is an important life skill, so understanding its nature is important, and unfortunately academics who study it full-time are like so many other experts: when not irrelevant, 180 degrees wrong. This book explains the current asset pricing theory, and proposes an alternative, using theory and a unique survey of the data across many asset classes. Familiarity with some MBA level finance is helpful but not necessary to appreciate this book.

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

Download or read book Extracting Tail Risk from High Frequency S P 500 Returns written by Caio Almeida and published by . This book was released on 2020 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper proposes to extract tail risk from a risk-neutral mean-adjusted expected shortfall of high-frequency stock returns. Risk adjustment is based on a nonparametric estimator of the state price density that does not use option prices and relies solely on a stock index returns. This makes the measure methodology applicable to many financial markets with illiquid or nonexistent options. Empirically, the tail risk factor extracted from S &P 500 returns has a 90% correlation with the options-based VIX index and predicts well realized jumps in the stock market index at various frequencies. We document a persistent negative relation between tail risk and one-day ahead returns of several assets classes. Consistent with the crash-insurance property of put options, tail risk predicts positive one-day ahead returns for portfolios long out-of-the-money, short in-the-money put options. An analysis of equity portfolios sorted on exposure to tail risk reveals a premium for bearing such a risk, even after controlling for known and established factors related to cross-sectional variability. This cross-sectional analysis is robust to the inclusion of uncertainty indexes, as well as macroeconomic and volatility measures.

Download or read book Stochastic Integration and Differential Equations written by Philip Protter and published by Springer. This book was released on 2013-12-21 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been 15 years since the first edition of Stochastic Integration and Differential Equations, A New Approach appeared, and in those years many other texts on the same subject have been published, often with connections to applications, especially mathematical finance. Yet in spite of the apparent simplicity of approach, none of these books has used the functional analytic method of presenting semimartingales and stochastic integration. Thus a 2nd edition seems worthwhile and timely, though it is no longer appropriate to call it "a new approach". The new edition has several significant changes, most prominently the addition of exercises for solution. These are intended to supplement the text, but lemmas needed in a proof are never relegated to the exercises. Many of the exercises have been tested by graduate students at Purdue and Cornell Universities. Chapter 3 has been completely redone, with a new, more intuitive and simultaneously elementary proof of the fundamental Doob-Meyer decomposition theorem, the more general version of the Girsanov theorem due to Lenglart, the Kazamaki-Novikov criteria for exponential local martingales to be martingales, and a modern treatment of compensators. Chapter 4 treats sigma martingales (important in finance theory) and gives a more comprehensive treatment of martingale representation, including both the Jacod-Yor theory and Emery’s examples of martingales that actually have martingale representation (thus going beyond the standard cases of Brownian motion and the compensated Poisson process). New topics added include an introduction to the theory of the expansion of filtrations, a treatment of the Fefferman martingale inequality, and that the dual space of the martingale space H^1 can be identified with BMO martingales. Solutions to selected exercises are available at the web site of the author, with current URL http://www.orie.cornell.edu/~protter/books.html.