This book offers recent advances in the theory of implied volatility and refined semiparametric estimation strategies and dimension reduction methods for functional surfaces. The first part is devoted to smile-consistent pricing approaches. The second part covers estimation techniques that are natural candidates to meet the challenges in implied volatility surfaces. Empirical investigations, simulations, and pictures illustrate the concepts.
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.
Abstract: Black and Scholes (1973) implied volatilities tend to be systematically related to the option's exercise price and time to expiration. Derman and Kani (1994), Dupire (1994), and Rubinstein (1994) attribute this behavior to the fact that the Black-Scholes constant volatility assumption is violated in practice. These authors hypothesize that the volatility of the underlying asset's return is a deterministic function of the asset price and time and develop the deterministic volatility function (DVF) option valuation model, which has the potential of fitting the observed cross-section of option prices exactly. Using a sample of S & P 500 index options during the period June 1988 through December 1993, we evaluate the economic significance of the implied deterministic volatility function by examining the predictive and hedging performance of the DV option valuation model. We find that its performance is worse than that of an ad hoc Black-Scholes model with variable implied volatilities.
This book provides a comprehensive discussion of the issues related to risk, volatility, value and risk management. It includes a selection of the best papers presented at the Fourth International Finance Conference 2007, qualified by Professor James Heckman, the 2000 Nobel Prize Laureate in Economics, as a high level one. The first half of the book examines ways to manage risk and compute value-at-risk for exchange risk associated to debt portfolios and portfolios of equity. It also covers the Basel II framework implementation and securitisation. The effects of volatility and risk on the valuation of financial assets are further studied in detail. The second half of the book is dedicated to the banking industry, banking competition on the credit market, banking risk and distress, market valuation, managerial risk taking, and value in the ICT activity. With its inclusion of new concepts and recent literature, academics and risk managers will want to read this book. Sample Chapter(s). Introduction (40 KB). Chapter 1: Managing Derivatives in the Presence of a Smile Effect and Incomplete Information (97 KB). Contents: Managing Derivatives in the Presence of a Smile Effect and Incomplete Information (M Bellalah); A Value-at-Risk Approach to Assess Exchange Risk Associated to a Public Debt Portfolio: The Case of a Small Developing Economy (W Ajili); A Method to Find Historical VaR for Portfolio that Follows S&P CNX Nifty Index by Estimating the Index Value (K V N M Ramesh); Some Considerations on the Relationship between Corruption and Economic Growth (V Dragota et al.); Financial Risk Management by Derivatives Caused from Weather Conditions: Its Applicability for Trkiye (T uzkan); The Basel II Framework Implementation and Securitization (M-F Lamy); Stochastic Time Change, Volatility, and Normality of Returns: A High-Frequency Data Analysis with a Sample of LSE Stocks (O Borsali & A Zenaidi); The Behavior of the Implied Volatility Surface: Evidence from Crude Oil Futures Options (A Bouden); Procyclical Behavior of Loan Loss Provisions and Banking Strategies: An Application to the European Banks (D D Dinamona); Market Power and Banking Competition on the Credit Market (I Lapteacru); Early Warning Detection of Banking Distress OCo Is Failure Possible for European Banks? (A Naouar); Portfolio Diversification and Market Share Analysis for Romanian Insurance Companies (M Dragota et al.); On the Closed-End Funds Discounts/Premiums in the Context of the Investor Sentiment Theory (A P C do Monte & M J da Rocha Armada); Why has Idiosyncratic Volatility Increased in Europe? (J-E Palard); Debt Valuation, Enterprise Assessment and Applications (D Vanoverberghe); Does The Tunisian Stock Market Overreact? (F Hammami & E Abaoub); Investor-Venture Capitalist Relationship: Asymmetric Information, Uncertainty, and Monitoring (M Cherif & S Sraieb); Threshold Mean Reversion in Stock Prices (F Jawadi); Households'' Expectations of Unemployment: New Evidence from French Microdata (S Ghabri); Corporate Governance and Managerial Risk Taking: Empirical Study in the Tunisian Context (A B Aroui & F W B M Douagi); Nonlinearity and Genetic Algorithms in the Decision-Making Process (N Hachicha & A Bouri); ICT and Performance of the Companies: The Case of the Tunisian Companies (J Ziadi); Option Market Microstructure (J-M Sahut); Does the Standardization of Business Processes Improve Management? The Case of Enterprise Resource Planning Systems (T Chtioui); Does Macroeconomic Transparency Help Governments be Solvent? Evidence from Recent Data (R Mallat & D K Nguyen). Readership: Academics and risk managers."
This book is a collection of selected high-quality research papers presented at the 4th International Conference on Evidence-Based Management (ICEBM) 2023, held at Birla Institute of Technology & Science, Pilani, Rajasthan, India, during February 24–25, 2023. It has 76 chapters written by various scholars focusing on evidence-based management practices in different functional areas of management with the application of theory and empirical techniques. This book will be helpful to practitioners, academics, scholars, and policymakers.
This comprehensive guide offers traders, quants, and students the tools and techniques for using advanced models for pricing options. The accompanying website includes data files, such as options prices, stock prices, or index prices, as well as all of the codes needed to use the option and volatility models described in the book. Praise for Option Pricing Models & Volatility Using Excel-VBA "Excel is already a great pedagogical tool for teaching option valuation and risk management. But the VBA routines in this book elevate Excel to an industrial-strength financial engineering toolbox. I have no doubt that it will become hugely successful as a reference for option traders and risk managers." —Peter Christoffersen, Associate Professor of Finance, Desautels Faculty of Management, McGill University "This book is filled with methodology and techniques on how to implement option pricing and volatility models in VBA. The book takes an in-depth look into how to implement the Heston and Heston and Nandi models and includes an entire chapter on parameter estimation, but this is just the tip of the iceberg. Everyone interested in derivatives should have this book in their personal library." —Espen Gaarder Haug, option trader, philosopher, and author of Derivatives Models on Models "I am impressed. This is an important book because it is the first book to cover the modern generation of option models, including stochastic volatility and GARCH." —Steven L. Heston, Assistant Professor of Finance, R.H. Smith School of Business, University of Maryland
The recent global financial crisis has forced a re-examination of risk transmission in the financial sector and how it affects financial stability. Current macroprudential policy and surveillance (MPS) efforts are aimed establishing a regulatory framework that helps mitigate the risk from systemic linkages with a view towards enhancing the resilience of the financial sector. This paper presents a forward-looking framework ("Systemic CCA") to measure systemic solvency risk based on market-implied expected losses of financial institutions with practical applications for the financial sector risk management and the system-wide capital assessment in top-down stress testing. The suggested approach uses advanced contingent claims analysis (CCA) to generate aggregate estimates of the joint default risk of multiple institutions as a conditional tail expectation using multivariate extreme value theory (EVT). In addition, the framework also helps quantify the individual contributions to systemic risk and contingent liabilities of the financial sector during times of stress.
The global financial crisis has sent shockwaves through the world’s economies, and its effects have been deep and wide-reaching. This book brings together a range of applied studies, covering a range of international and regional experience in the area of finance in the context of the global downturn. The volume includes an exploration of the impact of the crisis on capital markets, and how corporate stakeholders need to be more aware of the decision-making processes followed by corporate executives, as well as an analysis of the policy changes instituted by the Fed and their effects. Other issues covered include research into the approach of solvent banks to toxic assets, the determinants of US interest rate swap spreads during the crisis, a new approach for estimating Value-at-Risk, how distress and lack of active trading can result in systemic panic attacks, and the dynamic interactions between real house prices, consumption expenditure and output. Highlighting the global reach of the crisis, there is also coverage of recent changes in the cross-currency correlation structure, the costs attached to global banking financial integration, the interrelationships among global stock markets, inter-temporal interactions between stock return differential relative to the US and real exchange rate in the two most recent financial crises, and research into the recent slowdown in workers’ remittances. This book was published as a special issue of Applied Financial Economics.
This book provides a hands-on, practical guide to understanding derivatives pricing. Aimed at the less quantitative practitioner, it provides a balanced account of options, Greeks and hedging techniques avoiding the complicated mathematics inherent to many texts, and with a focus on modelling, market practice and intuition.
