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Book Pricing American Options Under Stochastic Volatility and Stochastic Interest Rates

Download or read book Pricing American Options Under Stochastic Volatility and Stochastic Interest Rates written by Jannick B. G. Schreiner and published by . This book was released on 2012 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Index Option Pricing Models with Stochastic Volatility and Stochastic Interest Rates

Download or read book Index Option Pricing Models with Stochastic Volatility and Stochastic Interest Rates written by George J. Jiang and published by . This book was released on 2000 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Pricing American Options Under Stochastic Volatility and Stochastic Interest Rates

Download or read book Pricing American Options Under Stochastic Volatility and Stochastic Interest Rates written by Alexey Medvedev and published by . This book was released on 2007 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Pricing Long term Options with Stochastic Volatility and Stochastic Interest Rates

Download or read book Pricing Long term Options with Stochastic Volatility and Stochastic Interest Rates written by Alexander van Haastrecht and published by . This book was released on 2010 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Option Pricing Under Stochastic Volatility

Download or read book Option Pricing Under Stochastic Volatility written by Dimitrios Gkamas and published by . This book was released on 2002 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book ARCH Models for Financial Applications

Download or read book ARCH Models for Financial Applications written by Evdokia Xekalaki and published by John Wiley & Sons. This book was released on 2010-03-18 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Option Pricing Under Stochastic Volatility Model

Download or read book Option Pricing Under Stochastic Volatility Model written by Hak Min Lim and published by . This book was released on 2003 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book An Investigation of the Impact of Stochastic Interest Rates on the Pricing of Equity Options

Download or read book An Investigation of the Impact of Stochastic Interest Rates on the Pricing of Equity Options written by Peter Carayannopoulos and published by . This book was released on 1993 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Modelling and Forecasting High Frequency Financial Data

Download or read book Modelling and Forecasting High Frequency Financial Data written by Stavros Degiannakis and published by Springer. This book was released on 2016-04-29 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: The global financial crisis has reopened discussion surrounding the use of appropriate theoretical financial frameworks to reflect the current economic climate. There is a need for more sophisticated analytical concepts which take into account current quantitative changes and unprecedented turbulence in the financial markets. This book provides a comprehensive guide to the quantitative analysis of high frequency financial data in the light of current events and contemporary issues, using the latest empirical research and theory. It highlights and explains the shortcomings of theoretical frameworks and provides an explanation of high-frequency theory, emphasising ways in which to critically apply this knowledge within a financial context. Modelling and Forecasting High Frequency Financial Data combines traditional and updated theories and applies them to real-world financial market situations. It will be a valuable and accessible resource for anyone wishing to understand quantitative analysis and modelling in current financial markets.

Book Can Negative Interest Rates Really Affect Option Pricing  Empirical Evidence from an Explicitly Solvable Stochastic Volatility Model

Download or read book Can Negative Interest Rates Really Affect Option Pricing Empirical Evidence from an Explicitly Solvable Stochastic Volatility Model written by Maria Cristina Recchioni and published by . This book was released on 2016 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: The profound financial crisis generated by the collapse of Lehman Brothers and the European sovereign debt crisis in 2011 have caused negative values of government bond yields both in the U.S.A. and in the EURO area. This paper investigates whether the use of models which allow for negative interest rate can improve option pricing and implied volatility forecasting. This is done with special attention to Foreign eXchange and index options. To this end, we carried out an empirical analysis of the prices of call and put options on the U.S. S&P 500 index as well as on the Eurodollar futures using a generalization of the Heston model in the stochastic interest rate framework. Specifically, the dynamics of the option's underlying asset is described by two factors: a stochastic variance and a stochastic interest rate. The volatility is not allowed to be negative while the interest rate is. Explicit formulas for the transition probability density function and moments are derived. These formulas are used to efficiently estimate the model parameters. Three empirical analyses are illustrated. The first two show that the use of models which allow for negative interest rates can efficiently reproduce implied volatility and forecast option prices (i.e. S&P index and foreign exchange options). The last one studies how the U.S. three month government bond yield affects the U.S. S&P 500 index.

Book Option Pricing Under Incompleteness and Stochastic Volatility

Download or read book Option Pricing Under Incompleteness and Stochastic Volatility written by Norbert Hofmann and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Option Prices in Stochastic Volatility Models

Download or read book Option Prices in Stochastic Volatility Models written by Giulia Terenzi and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study option pricing problems in stochastic volatility models. In the first part of this thesis we focus on American options in the Heston model. We first give an analytical characterization of the value function of an American option as the unique solution of the associated (degenerate) parabolic obstacle problem. Our approach is based on variational inequalities in suitable weighted Sobolev spaces and extends recent results of Daskalopoulos and Feehan (2011, 2016) and Feehan and Pop (2015). We also investigate the properties of the American value function. In particular, we prove that, under suitable assumptions on the payoff, the value function is nondecreasing with respect to the volatility variable. Then, we focus on an American put option and we extend some results which are well known in the Black and Scholes world. In particular, we prove the strict convexity of the value function in the continuation region, some properties of the free boundary function, the Early Exercise Price formula and a weak form of the smooth fit principle. This is done mostly by using probabilistic techniques.In the second part we deal with the numerical computation of European and American option prices in jump-diffusion stochastic volatility models. We first focus on the Bates-Hull-White model, i.e. the Bates model with a stochastic interest rate. We consider a backward hybrid algorithm which uses a Markov chain approximation (in particular, a “multiple jumps” tree) in the direction of the volatility and the interest rate and a (deterministic) finite-difference approach in order to handle the underlying asset price process. Moreover, we provide a simulation scheme to be used for Monte Carlo evaluations. Numerical results show the reliability and the efficiency of the proposed methods.Finally, we analyze the rate of convergence of the hybrid algorithm applied to general jump-diffusion models. We study first order weak convergence of Markov chains to diffusions under quite general assumptions. Then, we prove the convergence of the algorithm, by studying the stability and the consistency of the hybrid scheme, in a sense that allows us to exploit the probabilistic features of the Markov chain approximation.

Book Option pricing under incompleteness and stochastic volatility

Download or read book Option pricing under incompleteness and stochastic volatility written by and published by . This book was released on 1992 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book American Option Pricing Under Stochastic Volatility

Download or read book American Option Pricing Under Stochastic Volatility written by Manisha Goswami and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The approximate method to price American options makes use of the fact that accurate pricing of these options does not require exact determination of the early exercise boundary. Thus, the procedure mixes the two models of constant and stochastic volatility. The idea is to obtain early exercise boundary through constant volatility model using the approximation methods of AitSahlia and Lai or Ju and then utilize this boundary to price the options under stochastic volatility models. The data on S & P 100 Index American options is used to analyze the pricing performance of the mixing of the two models. The performance is studied with respect to percentage pricing error and absolute pricing errors for each money-ness maturity group.