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Author: Rui Gao
Publisher:
ISBN:
Category :
Languages : en
Pages : 226
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Book Description
This dissertation studies volatility measurement and modeling issues when asset prices are subject to price limits based on Bayesian approaches. Two types of estimators are developed to consistently estimate integrated volatility in the presence of price limits. One is a realized volatility type estimator, but using both realized asset prices and simulated asset prices. The other is a discrete sample analogue of integrated volatility using posterior samples of the latent volatility states. These two types of estimators are first constructed based on the simple log-stochastic volatility model in Chapter 2. The simple log-stochastic volatility framework is extended in Chapter 3 to incorporate correlated innovations and further extended in Chapter 4 to accommodate jumps and fat-tailed innovations. For each framework, a MCMC algorithm is designed to simulate the unobserved asset prices, model parameters and latent states. Performances of both type estimators are also examined using simulations under each framework. Applications to Chinese stock markets are also provided.
Author: Rui Gao
Publisher:
ISBN:
Category :
Languages : en
Pages : 226
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Book Description
This dissertation studies volatility measurement and modeling issues when asset prices are subject to price limits based on Bayesian approaches. Two types of estimators are developed to consistently estimate integrated volatility in the presence of price limits. One is a realized volatility type estimator, but using both realized asset prices and simulated asset prices. The other is a discrete sample analogue of integrated volatility using posterior samples of the latent volatility states. These two types of estimators are first constructed based on the simple log-stochastic volatility model in Chapter 2. The simple log-stochastic volatility framework is extended in Chapter 3 to incorporate correlated innovations and further extended in Chapter 4 to accommodate jumps and fat-tailed innovations. For each framework, a MCMC algorithm is designed to simulate the unobserved asset prices, model parameters and latent states. Performances of both type estimators are also examined using simulations under each framework. Applications to Chinese stock markets are also provided.
Author: Peilin Hsieh
Publisher:
ISBN:
Category :
Languages : en
Pages : 318
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Book Description
My dissertation focuses on economic studying of volatility issues. Three essays are contained in my dissertation. Essay 1 extends a microstructure model to explain the change of volatility and thus links traders' belief to the volatility change. Our model shows that when market is more uncertain about the value of the stock, the higher the (return) volatility. Essay 2 turns to explore more economic factors that could cause volatility regime switch. We find that US stock return processes, including drift, diffusion, and jump, differ along with US political cycle. Our results imply that the presidency in different parties has distinct policy making processes and thus influence the way information flows into the market, altering the return processes. In the final essay, we document and explain a volatility Bid-Ask spread pattern that increases as time to maturity decreases. Our research develops a model that explains the volatility spread pattern. We show that, as time passes, the required hedging uncertainty premium charged by the liquidity providers decays more slowly while the premium contained in the quoted options price decays at an increasingly higher rate which is determined by the option pricing model. Therefore, liquidity providers need to increase asking and decrease bidding volatility to maintain the profit necessary to compensate slowly decaying hedging uncertainty premium. Our results strongly suggest that studies on volatility spread should detrend the data to make the estimation models correct as well as the series stationary. Without adjusting the trend and autocorrelation problems, statistical results are inaccurate and misleading. More importantly, based on our theoretical model, we also find that: (a) the implied volatility spread does not increase in proportion to the increase of implied volatility, and (b) the increase of volatility uncertainty is not a sufficient condition for an increase in the percentage spread. Finally, to augment the validity of our claims, we provide rigorous econometric tests which support our propositions.
Author: Ji Shen
Publisher:
ISBN:
Category :
Languages : en
Pages : 105
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Author: Lu Feng
Publisher:
ISBN:
Category : Stochastic processes
Languages : en
Pages : 228
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Author: Pujin Liu
Publisher:
ISBN:
Category :
Languages : en
Pages : 286
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Book Description
The thesis consists of three essays dealing with the modeling of volatility in financial markets, trade durations, and Value-at-Risk (VaR). The first essay models nonlinearities in the return series to estimate time-varying volatility by incorporating both regime changes and jumps. Two types of regime-switching GARCH-jump models with autoregressive jump intensity are presented. The first model follows the traditional Markov regime-switching model proposed in Hamilton (1989). As the unknown regimes in the Markov model lead to difficulty in forecasting, a threshold GARCH-jump model, in which regimes are known after observing the threshold variable in the previous period, is also proposed. The second essay models the intraday durations between two adjacent trade transactions by considering the impact of unaccounted struc- tural changes on parameter estimates. Monte Carlo simulations show that the observed high persistence in trade durations can be spurious and caused by unaccounted structural changes in the data generating process. The third essay investigates the use of realized moments in VaR forecasting, which is an important issue in risk management. Many VaR models rely only on the mean and volatility and ignore higher moments of returns, which leads to un- derestimation of VaR due to the unaccounted fat-tail property of the return series. Applying the Cornish-Fisher expansion to incorporate realized higher moments constructed from high frequency data, the proposed realized moment models outperform the realized volatility model and the traditional RiskMet- rics model, especially during the financial crisis period (2008-09).
Author: Jose Gonzalo Rangel
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Author: Xin Cheng
Publisher:
ISBN:
Category : Options (Finance)
Languages : en
Pages : 218
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Author: Stefano Mazzotta
Publisher:
ISBN:
Category : Capital market
Languages : en
Pages : 410
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Book Description
"This dissertation is in the form of one survey paper and three essays on the topic of volatility. The unifying feature that permeates the entire thesis is the focus on the measurement and use of conditional second moment of equities and currencies as a measure of risk for asset pricing and policy purposes in the context of international markets." --
Author: Jim Gatheral
Publisher: Wiley
ISBN: 0470068256
Category : Business & Economics
Languages : en
Pages : 208
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Book Description
Praise for The Volatility Surface "I'm thrilled by the appearance of Jim Gatheral's new book The Volatility Surface. The literature on stochastic volatility is vast, but difficult to penetrate and use. Gatheral's book, by contrast, is accessible and practical. It successfully charts a middle ground between specific examples and general models--achieving remarkable clarity without giving up sophistication, depth, or breadth." --Robert V. Kohn, Professor of Mathematics and Chair, Mathematical Finance Committee, Courant Institute of Mathematical Sciences, New York University "Concise yet comprehensive, equally attentive to both theory and phenomena, this book provides an unsurpassed account of the peculiarities of the implied volatility surface, its consequences for pricing and hedging, and the theories that struggle to explain it." --Emanuel Derman, author of My Life as a Quant "Jim Gatheral is the wiliest practitioner in the business. This very fine book is an outgrowth of the lecture notes prepared for one of the most popular classes at NYU's esteemed Courant Institute. The topics covered are at the forefront of research in mathematical finance and the author's treatment of them is simply the best available in this form." --Peter Carr, PhD, head of Quantitative Financial Research, Bloomberg LP Director of the Masters Program in Mathematical Finance, New York University "Jim Gatheral is an acknowledged master of advanced modeling for derivatives. In The Volatility Surface he reveals the secrets of dealing with the most important but most elusive of financial quantities, volatility." --Paul Wilmott, author and mathematician "As a teacher in the field of mathematical finance, I welcome Jim Gatheral's book as a significant development. Written by a Wall Street practitioner with extensive market and teaching experience, The Volatility Surface gives students access to a level of knowledge on derivatives which was not previously available. I strongly recommend it." --Marco Avellaneda, Director, Division of Mathematical Finance Courant Institute, New York University "Jim Gatheral could not have written a better book." --Bruno Dupire, winner of the 2006 Wilmott Cutting Edge Research Award Quantitative Research, Bloomberg LP
Author: David Frederik Schrager
Publisher: Rozenberg Publishers
ISBN: 9051709455
Category :
Languages : en
Pages : 195
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Book Description
