Inside Volatility Filtering
eBook - ePub

Inside Volatility Filtering

Secrets of the Skew

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Inside Volatility Filtering

Secrets of the Skew

About this book

A new, more accurate take on the classical approach to volatility evaluation

Inside Volatility Filtering presents a new approach to volatility estimation, using financial econometrics based on a more accurate estimation of the hidden state. Based on the idea of "filtering", this book lays out a two-step framework involving a Chapman-Kolmogorov prior distribution followed by Bayesian posterior distribution to develop a robust estimation based on all available information. This new second edition includes guidance toward basing estimations on historic option prices instead of stocks, as well as Wiener Chaos Expansions and other spectral approaches. The author's statistical trading strategy has been expanded with more in-depth discussion, and the companion website offers new topical insight, additional models, and extra charts that delve into the profitability of applied model calibration. You'll find a more precise approach to the classical time series and financial econometrics evaluation, with expert advice on turning data into profit.

Financial markets do not always behave according to a normal bell curve. Skewness creates uncertainty and surprises, and tarnishes trading performance, but it's not going away. This book shows traders how to work with skewness: how to predict it, estimate its impact, and determine whether the data is presenting a warning to stay away or an opportunity for profit.

  • Base volatility estimations on more accurate data
  • Integrate past observation with Bayesian probability
  • Exploit posterior distribution of the hidden state for optimal estimation
  • Boost trade profitability by utilizing "skewness" opportunities

Wall Street is constantly searching for volatility assessment methods that will make their models more accurate, but precise handling of skewness is the key to true accuracy. Inside Volatility Filtering shows you a better way to approach non-normal distributions for more accurate volatility estimation.

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Information

Publisher
Wiley
Year
2015
Print ISBN
9781118943977
Edition
2
eBook ISBN
9781118943984
Subtopic
Finanza

Chapter 1
The Volatility Problem

Suppose we use the standard deviation of possible future returns on a stock as a measure of its volatility. Is it reasonable to take that volatility as a constant over time? I think not.
—Fischer Black

Introduction

It is widely accepted today that an assumption of a constant volatility fails to explain the existence of the volatility smile as well as the leptokurtic character (fat tails) of the stock distribution. The Fischer Black quote, made shortly after the famous constant-volatility Black-Scholes model was developed, proves the point.
In this chapter, we will start by describing the concept of Brownian Motion for the Stock Price Return, as well as the concept of historic volatility.
We will then discuss the derivatives market and the ideas of hedging and risk neutrality. We will briefly describe the Black-Scholes Partial Derivatives Equation (PDE) in this section.
Next, we will talk about jumps and level-dependent volatility models. We will first mention the jump-diffusion process and introduce the concept of leverage. We will then refer to two popular level-dependent approaches: the Constant Elasticity Variance (...

Table of contents

  1. Cover
  2. Title Page
  3. Copyright
  4. Table of Contents
  5. Foreword
  6. Acknowledgments (Second Edition)
  7. Acknowledgments (First Edition)
  8. Introduction (Second Edition)
  9. Introduction (First Edition)
  10. Chapter 1: The Volatility Problem
  11. Chapter 2: The Inference Problem
  12. Chapter 3: The Consistency Problem
  13. Chapter 4: The Quality Problem
  14. Bibliography
  15. Index
  16. End User License Agreement

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Yes, you can access Inside Volatility Filtering by Alireza Javaheri in PDF and/or ePUB format, as well as other popular books in Business & Finanza. We have over 1.5 million books available in our catalogue for you to explore.