Financial Engineering: Modeling Volatility

Volatility as an Asset Class

"Trading volatility" used to mean dynamic hedging. Not anymore. Today, there are OTC derivatives on realized volatility and exchange-traded derivatives on implied volatility indexes like the VIX. This book is an edited collection offering something for everyone. For institutional investors, there are articles on vol as an asset class. For financial engineers or traders there are articles on the instruments and the mathematics underlying index construction. For theoreticians, there are discussions of risk premiums and fractal geometry, etc. ...

The Volatility Surface

Jim Gatheral

2006

This short book evolved out of lecture notes for a course offered several times over the past few years at New York University. It describes financial engineering models that assume non-constant volatility for pricing equity derivatives. This allows the models to be calibrated to—or at least better fit—observed volatility skew ... Read more

A Practical Guide to
Forecasting Financial Market Volatility

Ser-Huang Poon

2005

This book is not so much a practical guide to volatility forecasting as it is a literature guide. Actually, that is exactly what it is—a guide to the rapidly growing scholarly literature on volatility modeling and forecasting. The author has recently coauthored two literature surveys, which have appeared in the ... Read more

Exotic Option Pricing and Advanced Levy Models

A. Kyprianou, W. Schoutens, P. Wilmott

2005

A Levy process is a stochastic process that generalizes a Brownian motion with jumps or other features. Conceivably, they might be used in financial engineering to more accurately model the evolution of underlier values and address issues with volatility skew. Merton proposed their use in financial engineering in 1973, but research has gone well beyond the simple jump-diffusion process he used ... Read more

Inside Volatility Arbitrage

Alireza Javaheri

2005

Do you have a PhD in math or physics? Do you have a strong mastery of the current literature on financial engineering? Do you use Kalman filters and Fourier transforms on the job most days of the week? If you have answered yes to all these questions, you are going to love this book. The rest of you can stop reading now ... Read more

Volatility and Correlations
The Perfect Hedger and the Fox

Riccardo Rebonato

2004

This is a sophisticated text on the modeling of volatility and correlation surfaces for derivatives pricing and hedging. Drawing on the latest literature, Rebonato discusses the modeling of smiles, mean reversion and correlation ... Read more

Financial Models with Jump Processes

Rama Cont and Peter Tankov

2004

Immediately after Black and Scholes published their groundbreaking paper, Merton proposed that geometric Brownian motion might be improved by incorporating random jumps. What vision! Today, jump diffusions are one of the most interesting tools for modeling market phenomena such as volatility smiles and leptokurtic return distributions ... Read more

 

 

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