The Volatility Smile

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The Volatility Smile
The Volatility Smile by Emanuel Derman and Michael B. Miller
English | 2016 | ISBN: 1118959167 | 528 pages | PDF | 8,3 MB

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

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