Financial models with Lévy processes and volatility clustering
著者
書誌事項
Financial models with Lévy processes and volatility clustering
(The Frank J. Fabozzi series)
Wiley, c2011
大学図書館所蔵 全7件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references and index
内容説明・目次
内容説明
An in-depth guide to understanding probability distributions and financial modeling for the purposes of investment management In Financial Models with Levy Processes and Volatility Clustering, the expert author team provides a framework to model the behavior of stock returns in both a univariate and a multivariate setting, providing you with practical applications to option pricing and portfolio management. They also explain the reasons for working with non-normal distribution in financial modeling and the best methodologies for employing it.
The book's framework includes the basics of probability distributions and explains the alpha-stable distribution and the tempered stable distribution. The authors also explore discrete time option pricing models, beginning with the classical normal model with volatility clustering to more recent models that consider both volatility clustering and heavy tails.
Reviews the basics of probability distributions
Analyzes a continuous time option pricing model (the so-called exponential Levy model)
Defines a discrete time model with volatility clustering and how to price options using Monte Carlo methods
Studies two multivariate settings that are suitable to explain joint extreme events
Financial Models with Levy Processes and Volatility Clustering is a thorough guide to classical probability distribution methods and brand new methodologies for financial modeling.
目次
Preface. About the Authors.
Chapter 1 Introduction.
1.1 The need for better financial modeling of asset prices.
1.2 The family of stable distribution and its properties.
1.3 Option pricing with volatility clustering.
1.4 Model dependencies.
1.5 Monte Carlo.
1.6 Organization of the book.
Chapter 2 Probability distributions.
2.1 Basic concepts.
2.2 Discrete probability distributions.
2.3 Continuous probability distributions.
2.4 Statistic moments and quantiles.
2.5 Characteristic function.
2.6 Joint probability distributions.
2.7 Summary.
Chapter 3 Stable and tempered stable distributions.
3.1 -Stable distribution.
3.2 Tempered stable distributions.
3.3 Infinitely divisible distributions.
3.4 Summary.
3.5 Appendix.
Chapter 4 Stochastic Processes in Continuous Time.
4.1 Some preliminaries.
4.2 Poisson Process.
4.3 Pure jump process.
4.4 Brownian motion.
4.5 Time-Changed Brownian motion.
4.6 Levy process.
4.7 Summary.
Chapter 5 Conditional Expectation and Change of Measure.
5.1 Events, s-fields, and filtration.
5.2 Conditional expectation.
5.3 Change of measures.
5.4 Summary.
Chapter 6 Exponential Levy Models.
6.1 Exponential Levy Models.
6.2 Fitting a-stable and tempered stable distributions.
6.3 Illustration: Parameter estimation for tempered stable distributions.
6.4 Summary.
6.5 Appendix : Numerical approximation of probability density and cumulative distribution functions.
Chapter 7 Option Pricing in Exponential Levy Models.
7.1 Option contract.
7.2 Boundary conditions for the price of an option.
7.3 No-arbitrage pricing and equivalent martingale measure.
7.4 Option pricing under the Black-Scholes model.
7.5 European option pricing under exponential tempered stable Models.
7.6 The subordinated stock price model.
7.7 Summary.
Chapter 8 Simulation.
8.1 Random number generators.
8.2 Simulation techniques for Levy processes.
8.3 Tempered stable processes.
8.4 Tempered infinitely divisible processes.
8.5 Time-changed Brownian motion.
8.6 Monte Carlo methods.
Chapter 9 Multi-Tail t-distribution.
9.1 Introduction.
9.2 Principal component analysis.
9.3 Estimating parameters.
9.4 Empirical results.
9.5 Conclusion.
Chapter 10 Non-Gaussian portfolio allocation.
10.1 Introduction.
10.2 Multifactor linear model.
10.3 Modeling dependencies.
10.4 Average value-at-risk.
10.5 Optimal portfolios.
10.6 The algorithm.
10.7 An empirical test.
10.8 Summary.
Chapter 11 Normal GARCH models.
11.1 Introduction.
11.2 GARCH dynamics with normal innovation.
11.3 Market estimation.
11.4 Risk-neutral estimation.
11.5 Summary.
Chapter 12 Smoothly truncated stable GARCH models.
12.1 Introduction.
12.2 A Generalized NGARCH Option Pricing Model.
12.3 Empirical Analysis.
12.4 Conclusion.
Chapter 13 Infinitely divisible GARCH models.
13.1 Stock price dynamic.
13.2 Risk-neutral dynamic.
13.3 Non-normal infinitely divisible GARCH.
13.4 Simulate infinitely divisible GARCH.
Chapter 14 Option Pricing with Monte Carlo Methods.
14.1 Introduction.
14.2 Data set.
14.3 Performance of Option Pricing Models.
14.4 Summary.
Chapter 15 American Option Pricing with Monte Carlo Methods.
15.1 American option pricing in discrete time.
15.2 The Least Squares Monte Carlo method.
15.3 LSM method in GARCH option pricing model.
15.4 Empirical illustration.
15.5 Summary.
Index.
「Nielsen BookData」 より