Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Switching To Non Affine Stochastic Volatility full books in PDF, epub, and Kindle. Read online Switching To Non Affine Stochastic Volatility ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Nicolas Langrené
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (13 download)
Download or read book Switching to Non-Affine Stochastic Volatility written by Nicolas Langrené and published by . This book was released on 2016 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Katja Ignatieva
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (129 download)
Download or read book Stochastic Volatility and Jumps written by Katja Ignatieva and published by . This book was released on 2009 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper analyzes exponentially affine and non-affine stochastic volatility models with jumps in returns and volatility. Markov Chain Monte Carlo (MCMC) technique is applied within a Bayesian inference to estimate model parameters and latent variables using daily returns from the Samp;P 500 stock index. There are two approaches to overcome the problem of misspecification of the square root stochastic volatility model. The first approach proposed by Christo ersen, Jacobs and Mimouni (2008) suggests to investigate some non-affine alternatives of the volatility process. The second approach consists in examining more heavily parametrized models by adding jumps to the return and possibly to the volatility process. The aim of this paper is to combine both model frameworks and to test whether the class of affine models is outperformed by the class of non-affine models if we include jumps into the stochastic processes. We conclude that the non-affine model structure have promising statistical properties and are worth further investigations. Further, we find affine models with jump components that perform similar to the non affine models without jump components. Since non affine models yield economically unrealistic parameter estimates, and research is rather developed for the affine model structures we have a tendency to prefer the affine jump diffusion models.
Author : Øystein Sivertsen Jensen
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (774 download)
Download or read book Empirical Performance of Non-Affine Stochastic Volatility Models written by Øystein Sivertsen Jensen and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis aims to test the empirical performance of 5 different non-affine specifications of the stochastic volatility model. The performance of the common affine square-root (SQR) specification is also investigated. The analysis is carried out by calibrating each model to option data by fitting the model-implied Black-Scholes volatilities to the marked-implied Black-Scholes volatilities. The data is collected from three months of very different financial climates; January 2007, October 2008, and July 2010. Three assets are considered; the S&P500 index, Apple Inc. and ExxonMobil Corporation. The findings confirm that model fit can be improved by choosing a non-affine model specification. The VAR model stands out as the best specification across all performance measures. The 3/2N model also consistently outperforms the SQR model. A separate estimation exercise based on maximum likelihood is also performed, confirming the better performance of the non-affine model specifications. The estimated parameters from the two estimation exercises show little sign of consistency, which indicates that all models are misspecified.
Author : Alex Badescu
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (13 download)
Download or read book A Unified Valuation Framework for Variance Swaps Under Non-Affine Stochastic Volatility Models written by Alex Badescu and published by . This book was released on 2017 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, we investigate the pricing and convergence of general non-affine non-Gaussian GARCH-based variance swap prices. Explicit solutions for fair strike prices under two different sampling schemes are derived using the extended Girsanov principle as our pricing kernel candidate. Following standard assumptions on the time-varying GARCH parameters, we show that these quantities converge to discretely and continuously sampled variance swaps constructed based on the weak diffusion limit of the underlying GARCH model. An empirical study which relies on a joint estimation using both historical returns and VIX data indicates that an asymmetric heavier-tailed distribution is more appropriate for modelling the GARCH innovations. Finally, we provide several numerical exercises to support our theoretical convergence results in which we investigate the effect of the quadratic variation approximation for the realized variance, as well as the impact of discrete versus continuous-time modelling of asset returns.
Author : Katja Ignatieva
Publisher :
ISBN 13 :
Total Pages : 49 pages
Book Rating : 4.:/5 (129 download)
Download or read book Empirical Analysis of Affine vs. Non-Affine Variance Specifications in Jump-Diffusion Models for Equity Indices written by Katja Ignatieva and published by . This book was released on 2015 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to model the variance process driving stock returns is a major research questions in finance. The specification of a variance model has implications for, e.g., risk management decisions, portfolio allocation or derivative pricing. This paper analyzes several crucial questions for setting up a variance model. (i) Are jumps an important model ingredient even when using a non-affine specification? (ii) How do affine specifications perform when compared to non-affine models. (iii) How should non-linearities be modeled? We find that, first, jump models clearly outperform pure stochastic volatility models. Second, non-affine specifications outperform affine models, even after including jumps. And finally, we find that the polynomial specification of the drift term, that has also been used in short rate models, is the best non-affine model under consideration.
Author : Artur Sepp
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (13 download)
Download or read book Log-Normal Stochastic Volatility Model written by Artur Sepp and published by . This book was released on 2016 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: While empirical studies have established that the log-normal stochastic volatility (SV) model is superior to its alternatives, the model does not allow for the analytical solutions available for affine models. To circumvent this, we show that the joint moment generating function (MGF) of the log-price and the quadratic variance (QV) under the log-normal SV model can be decomposed into a leading term, which is given by an exponential-affine form, and a residual term, whose estimate depends on the higher order moments of the volatility process. We prove that the second-order leading term is theoretically consistent with the expected values and covariance matrix of the log-price and the quadratic variance. We further extend this approach to the log-normal SV model with jumps. We use Fourier inversion techniques to value vanilla options on the equity and the QV and, by comparison to Monte Carlo simulations, we show that the second-order leading term is precise for the valuation of vanilla options. We generalize the affine decomposition to other non-affine stochastic volatility models with polynomial drift and volatility functions, and with jumps in the volatility process.
Author : Richard Vierthauer
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.:/5 (682 download)
Download or read book Hedging in Affine Stochastic Volatility Models written by Richard Vierthauer and published by . This book was released on 2010 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yue Kuen Kwok
Publisher : CRC Press
ISBN 13 : 1000584275
Total Pages : 402 pages
Book Rating : 4.0/5 (5 download)
Download or read book Pricing Models of Volatility Products and Exotic Variance Derivatives written by Yue Kuen Kwok and published by CRC Press. This book was released on 2022-05-08 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pricing Models of Volatility Products and Exotic Variance Derivatives summarizes most of the recent research results in pricing models of derivatives on discrete realized variance and VIX. The book begins with the presentation of volatility trading and uses of variance derivatives. It then moves on to discuss the robust replication strategy of variance swaps using portfolio of options, which is one of the major milestones in pricing theory of variance derivatives. The replication procedure provides the theoretical foundation of the construction of VIX. This book provides sound arguments for formulating the pricing models of variance derivatives and establishes formal proofs of various technical results. Illustrative numerical examples are included to show accuracy and effectiveness of analytic and approximation methods. Features Useful for practitioners and quants in the financial industry who need to make choices between various pricing models of variance derivatives Fabulous resource for researchers interested in pricing and hedging issues of variance derivatives and VIX products Can be used as a university textbook in a topic course on pricing variance derivatives
Author : Jaya P. N. Bishwal
Publisher : Springer Nature
ISBN 13 : 3031038614
Total Pages : 634 pages
Book Rating : 4.0/5 (31 download)
Download or read book Parameter Estimation in Stochastic Volatility Models written by Jaya P. N. Bishwal and published by Springer Nature. This book was released on 2022-08-06 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops alternative methods to estimate the unknown parameters in stochastic volatility models, offering a new approach to test model accuracy. While there is ample research to document stochastic differential equation models driven by Brownian motion based on discrete observations of the underlying diffusion process, these traditional methods often fail to estimate the unknown parameters in the unobserved volatility processes. This text studies the second order rate of weak convergence to normality to obtain refined inference results like confidence interval, as well as nontraditional continuous time stochastic volatility models driven by fractional Levy processes. By incorporating jumps and long memory into the volatility process, these new methods will help better predict option pricing and stock market crash risk. Some simulation algorithms for numerical experiments are provided.
Author : Mikhail Chernov
Publisher :
ISBN 13 :
Total Pages : 37 pages
Book Rating : 4.:/5 (129 download)
Download or read book A New Class of Stochastic Volatility Models with Jumps written by Mikhail Chernov and published by . This book was released on 2012 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this paper is to propose a new class of jump diffusions which feature both stochastic volatility and random intensity jumps. Previous studies have focused primarily on pure jump processes with constant intensity and log-normal jumps or constant jump intensity combined with a one factor stochastic volatility model. We introduce several generalizations which can better accommodate several empirical features of returns data. In their most general form we introduce a class of processes which nests jump-diffusions previously considered in empirical work and includes the affine class of random intensity models studied by Bates (1998) and Duffie, Pan and Singleton (1998) but also allows for non-affine random intensity jump components. We attain the generality of our specification through a generic Levy process characterization of the jump component. The processes we introduce share the desirable feature with the affine class that they yield analytically tractable and explicit option pricing formula. The non-affine class of processes we study include specifications where the random intensity jump component depends on the size of the previous jump which represent an alternative to affine random intensity jump processes which feature correlation between the stochastic volatility and jump component. We also allow for and experiment with different empirical specifications of the jump size distributions. We use two types of data sets. One involves the Samp;P500 and the other comprises of 100 years of daily Dow Jones index. The former is a return series often used in the literature and allows us to compare our results with previous studies. The latter has the advantage to provide a long time series and enhances the possibility of estimating the jump component more precisely. The non-affine random intensity jump processes are more parsimonious than the affine class and appear to fit the data much better.
Author : Antoine Petrus Cornelius van der Ploeg
Publisher : Rozenberg Publishers
ISBN 13 : 9051705778
Total Pages : 358 pages
Book Rating : 4.0/5 (517 download)
Download or read book Stochastic volatility and the pricing of financial derivatives written by Antoine Petrus Cornelius van der Ploeg and published by Rozenberg Publishers. This book was released on 2006 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : José Da Fonseca
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (13 download)
Download or read book On Moment Non-Explosions for Wishart-Based Stochastic Volatility Models written by José Da Fonseca and published by . This book was released on 2018 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper provides a result on moment non-explosions for a stock following a Wishart multidimensional stochastic volatility dynamic or a Wishart affine stochastic correlation dynamic when the parameter values satisfy certain constraints. By reformulating the stock dynamic in terms of the volatility path along with standard results on matrix Lyapunov and Riccati equations, a non-explosion result of the moment of order greater than one can be obtained. It extends to these frameworks a property well known for the Heston model.
Author : David M. Drukker
Publisher : Emerald Group Publishing
ISBN 13 : 1780525265
Total Pages : 262 pages
Book Rating : 4.7/5 (85 download)
Download or read book Missing Data Methods written by David M. Drukker and published by Emerald Group Publishing. This book was released on 2011-11-30 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the "Advances in Econometrics" series, this title contains chapters covering topics such as: Missing-Data Imputation in Nonstationary Panel Data Models; Markov Switching Models in Empirical Finance; Bayesian Analysis of Multivariate Sample Selection Models Using Gaussian Copulas; and, Consistent Estimation and Orthogonality.
Author : Antonio Mele
Publisher : Springer Science & Business Media
ISBN 13 : 1461545331
Total Pages : 156 pages
Book Rating : 4.4/5 (615 download)
Download or read book Stochastic Volatility in Financial Markets written by Antonio Mele and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Volatility in Financial Markets presents advanced topics in financial econometrics and theoretical finance, and is divided into three main parts. The first part aims at documenting an empirical regularity of financial price changes: the occurrence of sudden and persistent changes of financial markets volatility. This phenomenon, technically termed `stochastic volatility', or `conditional heteroskedasticity', has been well known for at least 20 years; in this part, further, useful theoretical properties of conditionally heteroskedastic models are uncovered. The second part goes beyond the statistical aspects of stochastic volatility models: it constructs and uses new fully articulated, theoretically-sounded financial asset pricing models that allow for the presence of conditional heteroskedasticity. The third part shows how the inclusion of the statistical aspects of stochastic volatility in a rigorous economic scheme can be faced from an empirical standpoint.
Author : Daniel Hernández‐Hernández
Publisher : Springer Nature
ISBN 13 : 303085325X
Total Pages : 178 pages
Book Rating : 4.0/5 (38 download)
Download or read book Advances in Probability and Mathematical Statistics written by Daniel Hernández‐Hernández and published by Springer Nature. This book was released on 2021-11-14 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers which were presented at the XV Latin American Congress of Probability and Mathematical Statistics (CLAPEM) in December 2019 in Mérida-Yucatán, México. They represent well the wide set of topics on probability and statistics that was covered at this congress, and their high quality and variety illustrates the rich academic program of the conference.
Author : Kyriakos Chourdakis
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (129 download)
Download or read book Maximum Likelihood Estimation and Dynamic Asset Allocation with Non-Affine Volatility Processes written by Kyriakos Chourdakis and published by . This book was released on 2009 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we develop an estimation method for extracting non-affine latent stochastic volatility and risk premia from measures of model-free realized and risk-neutral integrated volatility. We estimate non-affine models with nonlinear drift and constant elasticity of variance and we compare them to the popular square-root stochastic volatility model. Our empirical findings are: (1) the square-root model is misspecified; (2) the inclusion of constant elasticity of variance and nonlinear drift captures stylized facts of volatility dynamics; (3) models with linear drift imply an explosive volatility process under the risk-neutral probability measure. To gauge the economic impact of the empirical findings we also study the implications of non-affine specifications on dynamic asset allocation strategies with stochastic volatility. We show that, in contrast to the affine case, non-affine volatility models induce market timing and can generate volatility dynamics which are volatile enough to produce large intertemporal hedging demands.
Author : Antoine Jacquier
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (93 download)
Download or read book Implied Volatility Asymptotics Under Affine Stochastic Volatility Models written by Antoine Jacquier and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
