Expected and Realized Returns on Volatility

Expected and Realized Returns on Volatility
Author: Guanglian Hu
Publisher:
Total Pages: 50
Release: 2020
Genre:
ISBN:

Expected returns on market volatility, which can be obtained from VIX futures in closed form, predict subsequent multi-period realized volatility returns. Expected volatility returns are negative on average, but become more negative after volatility increases. This generates a positive relation with subsequent realized returns on volatility, which are more negative following increases in volatility. Expected volatility returns also predict future index returns, because realized volatility returns are negatively correlated with realized index returns. We show how these results are related to existing results on the predictive power of the market variance risk premium, the slope of the VIX term structure, and the VIX premium. The results are robust to a wide range of variations in the empirical setup.

Handbook of Financial Time Series

Handbook of Financial Time Series
Author: Torben Gustav Andersen
Publisher: Springer Science & Business Media
Total Pages: 1045
Release: 2009-04-21
Genre: Business & Economics
ISBN: 3540712976

The Handbook of Financial Time Series gives an up-to-date overview of the field and covers all relevant topics both from a statistical and an econometrical point of view. There are many fine contributions, and a preamble by Nobel Prize winner Robert F. Engle.

Volatility Spreads and Expected Stock Returns

Volatility Spreads and Expected Stock Returns
Author: Turan G. Bali
Publisher:
Total Pages: 33
Release: 2012
Genre:
ISBN:

We examine the relation between expected future volatility (options' implied volatility) and the cross-section of expected returns. A trading strategy buying stocks in the highest implied volatility quintile and shorting stocks in the lowest implied volatility quintile generates insignificant returns. A similar strategy using one-month lagged realized volatility generates significantly negative returns. To investigate the differences and interactions between alternative measures of total risk, we estimate three principal components based on realized volatility, call implied and put implied volatility. Long-short trading strategies generate significant returns only for the second and the third principal components. We find that the second principal component is related to the realized-implied volatility spread which can be viewed as a proxy for volatility risk. We find that the third principal component is related to the call-put implied volatility spread that reflects future price increase of the underlying stock.

Volatility

Volatility
Author: Robert A. Jarrow
Publisher:
Total Pages: 472
Release: 1998
Genre: Derivative securities
ISBN:

Written by a number of authors, this text is aimed at market practitioners and applies the latest stochastic volatility research findings to the analysis of stock prices. It includes commentary and analysis based on real-life situations.

Volatility and Correlation

Volatility and Correlation
Author: Riccardo Rebonato
Publisher: John Wiley & Sons
Total Pages: 864
Release: 2005-07-08
Genre: Business & Economics
ISBN: 0470091401

In Volatility and Correlation 2nd edition: The Perfect Hedger and the Fox, Rebonato looks at derivatives pricing from the angle of volatility and correlation. With both practical and theoretical applications, this is a thorough update of the highly successful Volatility & Correlation – with over 80% new or fully reworked material and is a must have both for practitioners and for students. The new and updated material includes a critical examination of the ‘perfect-replication’ approach to derivatives pricing, with special attention given to exotic options; a thorough analysis of the role of quadratic variation in derivatives pricing and hedging; a discussion of the informational efficiency of markets in commonly-used calibration and hedging practices. Treatment of new models including Variance Gamma, displaced diffusion, stochastic volatility for interest-rate smiles and equity/FX options. The book is split into four parts. Part I deals with a Black world without smiles, sets out the author’s ‘philosophical’ approach and covers deterministic volatility. Part II looks at smiles in equity and FX worlds. It begins with a review of relevant empirical information about smiles, and provides coverage of local-stochastic-volatility, general-stochastic-volatility, jump-diffusion and Variance-Gamma processes. Part II concludes with an important chapter that discusses if and to what extent one can dispense with an explicit specification of a model, and can directly prescribe the dynamics of the smile surface. Part III focusses on interest rates when the volatility is deterministic. Part IV extends this setting in order to account for smiles in a financially motivated and computationally tractable manner. In this final part the author deals with CEV processes, with diffusive stochastic volatility and with Markov-chain processes. Praise for the First Edition: “In this book, Dr Rebonato brings his penetrating eye to bear on option pricing and hedging.... The book is a must-read for those who already know the basics of options and are looking for an edge in applying the more sophisticated approaches that have recently been developed.” —Professor Ian Cooper, London Business School “Volatility and correlation are at the very core of all option pricing and hedging. In this book, Riccardo Rebonato presents the subject in his characteristically elegant and simple fashion...A rare combination of intellectual insight and practical common sense.” —Anthony Neuberger, London Business School

Exploring the Role of the Realized Return Distribution in the Formation of the Implied Volatility Smile

Exploring the Role of the Realized Return Distribution in the Formation of the Implied Volatility Smile
Author: George Chalamandaris
Publisher:
Total Pages: 48
Release: 2017
Genre:
ISBN:

This article explores the role of the realized return distribution in the formation of the observed implied volatility smile using the framework of an adaptive expectations model. According to this framework investors update their expectations of future events, through which options are priced, by incorporating information from the underlying asset traded in the spot market. Our study is conducted at the level of cumulants which provide a complete description of investors expectations and can be considered as largely non-parametric with a minimal set of assumptions for the stochastic process that drives asset returns. The empirical results, based on the S&P 500 index, support the significance of the realized distribution in the formation of the implied volatility smile.

Options Markets

Options Markets
Author: John C. Cox
Publisher: Prentice Hall
Total Pages: 518
Release: 1985
Genre: Business & Economics
ISBN:

Includes the first published detailed description of option exchange operations, the first published treatment using only elementary mathematics and the first step-by-step procedure for implementing the Black-Scholes formula in actual trading.

Empirical Asset Pricing

Empirical Asset Pricing
Author: Turan G. Bali
Publisher: John Wiley & Sons
Total Pages: 512
Release: 2016-02-26
Genre: Business & Economics
ISBN: 1118589475

“Bali, Engle, and Murray have produced a highly accessible introduction to the techniques and evidence of modern empirical asset pricing. This book should be read and absorbed by every serious student of the field, academic and professional.” Eugene Fama, Robert R. McCormick Distinguished Service Professor of Finance, University of Chicago and 2013 Nobel Laureate in Economic Sciences “The empirical analysis of the cross-section of stock returns is a monumental achievement of half a century of finance research. Both the established facts and the methods used to discover them have subtle complexities that can mislead casual observers and novice researchers. Bali, Engle, and Murray’s clear and careful guide to these issues provides a firm foundation for future discoveries.” John Campbell, Morton L. and Carole S. Olshan Professor of Economics, Harvard University “Bali, Engle, and Murray provide clear and accessible descriptions of many of the most important empirical techniques and results in asset pricing.” Kenneth R. French, Roth Family Distinguished Professor of Finance, Tuck School of Business, Dartmouth College “This exciting new book presents a thorough review of what we know about the cross-section of stock returns. Given its comprehensive nature, systematic approach, and easy-to-understand language, the book is a valuable resource for any introductory PhD class in empirical asset pricing.” Lubos Pastor, Charles P. McQuaid Professor of Finance, University of Chicago Empirical Asset Pricing: The Cross Section of Stock Returns is a comprehensive overview of the most important findings of empirical asset pricing research. The book begins with thorough expositions of the most prevalent econometric techniques with in-depth discussions of the implementation and interpretation of results illustrated through detailed examples. The second half of the book applies these techniques to demonstrate the most salient patterns observed in stock returns. The phenomena documented form the basis for a range of investment strategies as well as the foundations of contemporary empirical asset pricing research. Empirical Asset Pricing: The Cross Section of Stock Returns also includes: Discussions on the driving forces behind the patterns observed in the stock market An extensive set of results that serve as a reference for practitioners and academics alike Numerous references to both contemporary and foundational research articles Empirical Asset Pricing: The Cross Section of Stock Returns is an ideal textbook for graduate-level courses in asset pricing and portfolio management. The book is also an indispensable reference for researchers and practitioners in finance and economics. Turan G. Bali, PhD, is the Robert Parker Chair Professor of Finance in the McDonough School of Business at Georgetown University. The recipient of the 2014 Jack Treynor prize, he is the coauthor of Mathematical Methods for Finance: Tools for Asset and Risk Management, also published by Wiley. Robert F. Engle, PhD, is the Michael Armellino Professor of Finance in the Stern School of Business at New York University. He is the 2003 Nobel Laureate in Economic Sciences, Director of the New York University Stern Volatility Institute, and co-founding President of the Society for Financial Econometrics. Scott Murray, PhD, is an Assistant Professor in the Department of Finance in the J. Mack Robinson College of Business at Georgia State University. He is the recipient of the 2014 Jack Treynor prize.