Pricing Foreign Currency and Cross-Currency Options Under GARCH. PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Pricing Foreign Currency and Cross-Currency Options Under GARCH. PDF full book. Access full book title Pricing Foreign Currency and Cross-Currency Options Under GARCH. by Jin-Chuan Duan. Download full books in PDF and EPUB format.
Author: Jin-Chuan Duan
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
This paper generalizes the GARCH option pricing methodology in Duan (1995, Mathematical Finance) to a two-country setting. Specifically, we assume a bivariate nonlinear GARCH system for the exchange rate and the foreign asset price, and generalize the local risk-neutral valuation relationship in Duan (1995). We derive the equilibrium GARCH processes for the exchange rate and the foreign asset price in the two-country economy. Foreign currency options and cross-currency options can then be valued using the well-known risk-neutral valuation technique. Our setup allows rich empirical regularities such as stochastic volatility, fat tails, and the so-called leverage effect. We also run simulations to price quanto options and find that when the true environment is GARCH a constant variance model is not reliable in most cases. The proposed equilibrium valuation framework to price foreign currency and cross-currency options is the first of its kind in the literature.
Author: Jin-Chuan Duan
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
This paper generalizes the GARCH option pricing methodology in Duan (1995, Mathematical Finance) to a two-country setting. Specifically, we assume a bivariate nonlinear GARCH system for the exchange rate and the foreign asset price, and generalize the local risk-neutral valuation relationship in Duan (1995). We derive the equilibrium GARCH processes for the exchange rate and the foreign asset price in the two-country economy. Foreign currency options and cross-currency options can then be valued using the well-known risk-neutral valuation technique. Our setup allows rich empirical regularities such as stochastic volatility, fat tails, and the so-called leverage effect. We also run simulations to price quanto options and find that when the true environment is GARCH a constant variance model is not reliable in most cases. The proposed equilibrium valuation framework to price foreign currency and cross-currency options is the first of its kind in the literature.
Author: Zhaohui Chen
Publisher: World Scientific
ISBN: 9814499161
Category : Business & Economics
Languages : en
Pages : 218
Get Book Here
Book Description
This volume is a collection of classical and recent empirical studies of currency options and their implications for issues of exchange rate economics, such as exchange rate risk premium, volatility, market expectations, and credibility of exchange rate regimes. It contains applications on how to extract useful information from option market data for financial forecasting policy purposes. The subjects are discussed in a self-contained, user-friendly format, with introductory chapters on currency option theory and currency option markets.The book can be used as supplementary reading for graduate finance and international economics courses, as training material for central bank and regulatory authorities, or as a reference book for financial analysts.
Author: Malefane Harry Molibeli
Publisher:
ISBN:
Category : Foreign exchange rates
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Terri Ryun Kang
Publisher:
ISBN:
Category :
Languages : en
Pages : 58
Get Book Here
Book Description
Author: Evdokia Xekalaki
Publisher: John Wiley & Sons
ISBN: 9780470688021
Category : Mathematics
Languages : en
Pages : 558
Get Book Here
Book Description
Autoregressive Conditional Heteroskedastic (ARCH) processes are used in finance to model asset price volatility over time. This book introduces both the theory and applications of ARCH models and provides the basic theoretical and empirical background, before proceeding to more advanced issues and applications. The Authors provide coverage of the recent developments in ARCH modelling which can be implemented using econometric software, model construction, fitting and forecasting and model evaluation and selection. Key Features: Presents a comprehensive overview of both the theory and the practical applications of ARCH, an increasingly popular financial modelling technique. Assumes no prior knowledge of ARCH models; the basics such as model construction are introduced, before proceeding to more complex applications such as value-at-risk, option pricing and model evaluation. Uses empirical examples to demonstrate how the recent developments in ARCH can be implemented. Provides step-by-step instructive examples, using econometric software, such as Econometric Views and the G@RCH module for the Ox software package, used in Estimating and Forecasting ARCH Models. Accompanied by a CD-ROM containing links to the software as well as the datasets used in the examples. Aimed at readers wishing to gain an aptitude in the applications of financial econometric modelling with a focus on practical implementation, via applications to real data and via examples worked with econometrics packages.
Author:
Publisher:
ISBN:
Category : Futures
Languages : en
Pages : 788
Get Book Here
Book Description
Author: Svetlozar T. Rachev
Publisher: John Wiley & Sons
ISBN: 0470937262
Category : Business & Economics
Languages : en
Pages : 316
Get Book Here
Book Description
An in-depth guide to understanding probability distributions and financial modeling for the purposes of investment management In Financial Models with Lévy 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 Lévy 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 Lévy Processes and Volatility Clustering is a thorough guide to classical probability distribution methods and brand new methodologies for financial modeling.
Author: Oliviero Roggi
Publisher: World Scientific
ISBN: 9814417505
Category : Business & Economics
Languages : en
Pages : 519
Get Book Here
Book Description
This volume presents the most recent achievements in risk measurement and management, as well as regulation of the financial industry, with contributions from prominent scholars and practitioners, and provides a comprehensive overview of recent emerging standards in risk management from an interdisciplinary perspective.
Author: Oliviero Roggi
Publisher: World Scientific
ISBN: 9814417513
Category : Business & Economics
Languages : en
Pages : 519
Get Book Here
Book Description
This edited volume presents the most recent achievements in risk measurement and management, as well as regulation of the financial industry, with contributions from prominent scholars and practitioners such as Robert Engle, 2003 Nobel Laureate in Economics, Viral Acharya, Torben Andersen, Zvi Bodie, Menachem Brenner, Aswath Damodaran, Marti Subrahmanyam, William Ziemba and others. The book provides a comprehensive overview of recent emerging standards in risk management from an interdisciplinary perspective. Individual chapters expound on the theme of standards setting in this era of financial crises where new and unseen global risks have emerged. They are organized in a such a way that allows the reader a broad perspective of the new emerging standards in macro, systemic and sovereign risk before zooming into the micro perspective of how risk is conceived and treated within a corporation. A section is dedicated to credit risk and to the increased importance of liquidity both in financial systems and at the firm's level.
Author: Said Melliani
Publisher: Springer Nature
ISBN: 3031124162
Category : Technology & Engineering
Languages : en
Pages : 496
Get Book Here
Book Description
We describe in this book recent advances in fuzzy sets theory, fractional calculus, dynamic systems, and optimization. The book provides a setting for the discussion of recent developments in a wide variety of topics including partial differential equations, dynamic systems, optimization, numerical analysis, fuzzy sets theory, fractional calculus, and its applications. The book is aimed at bringing together contributions from leading academic scientists, researchers, and research scholars to exchange and share their experiences and research results on all aspects of applied mathematics, modeling, algebra, economics, finance, and applications. It also provides an interdisciplinary platform for researchers, practitioners, and educators to present the most recent innovations, trends, and concerns as well as practical challenges encountered and solutions adopted in the fields of applied mathematics. The published chapters address various aspects of academic scientists, researchers, and research scholars in many variety mathematical topics.
